CN115600051B - Orbit maneuver intelligent detection method and device based on short-arc space-based optical observation - Google Patents

Orbit maneuver intelligent detection method and device based on short-arc space-based optical observation Download PDF

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CN115600051B
CN115600051B CN202211593968.0A CN202211593968A CN115600051B CN 115600051 B CN115600051 B CN 115600051B CN 202211593968 A CN202211593968 A CN 202211593968A CN 115600051 B CN115600051 B CN 115600051B
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罗亚中
李嘉胜
杨震
王�华
郭帅
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Abstract

本申请属于太空态势感知技术领域,涉及基于短弧天基光学观测的轨道机动智能检测方法和装置。方法包括:获取多组属于不同空间目标的历史观测弧段,得到优选弧段;根据优选弧段,确定时间上相邻的观测弧段的初始轨道;以初始轨道作为初值进行最小二乘迭代,得到轨道改进结果;将轨道改进结果转换为轨道根数,得到机动特征参数;为每条机动特征参数打上机动标签,建立标签模型;通过短弧天基光学观测,获得当前观测弧段,得到当前机动标签;根据当前机动标签,将属于相同空间目标的当前观测弧段划分为机动前观测弧段和机动后观测弧段,估算机动参数并完成轨道机动智能检测。采用本申请能够对天基短弧光学观测片段进行机动检测。

Figure 202211593968

The application belongs to the technical field of space situational awareness, and relates to an orbit maneuver intelligent detection method and device based on short-arc space-based optical observation. The method includes: obtaining multiple groups of historical observation arcs belonging to different space objects to obtain the optimal arc; determining the initial orbits of the observation arcs adjacent in time according to the optimal arc; using the initial orbit as the initial value to perform least squares iteration , to obtain the orbit improvement result; convert the orbit improvement result into the orbit element, and obtain the maneuvering characteristic parameters; label each maneuvering characteristic parameter, and establish a label model; obtain the current observation arc through the short-arc space-based optical observation, and obtain Current maneuvering label: According to the current maneuvering label, the current observation arc segment belonging to the same space object is divided into the observation arc segment before maneuvering and the observation arc segment after maneuvering, the maneuvering parameters are estimated and the intelligent detection of orbital maneuvering is completed. The application enables the mobile detection of space-based short-arc optical observation segments.

Figure 202211593968

Description

基于短弧天基光学观测的轨道机动智能检测方法和装置Orbit maneuver intelligent detection method and device based on short-arc space-based optical observation

技术领域technical field

本申请涉及太空态势感知技术领域,特别是涉及基于短弧天基光学观测的轨道机动智能检测方法和装置。The present application relates to the technical field of space situational awareness, in particular to an orbital maneuver intelligent detection method and device based on short-arc space-based optical observation.

背景技术Background technique

随着航天技术的不断发展,在轨卫星的机动呈现出越来越频繁的特点,在轨卫星各类活动的开展与实施均以卫星轨道机动为基础,因此对在轨卫星轨道机动进行检测显得尤为重要,在卫星行为意图识别与异常事件感知等方面有着重要应用。With the continuous development of aerospace technology, the maneuvering of in-orbit satellites is becoming more and more frequent. The development and implementation of various activities of in-orbit satellites are based on satellite orbital maneuvering. It is especially important, and has important applications in satellite behavior intention recognition and abnormal event perception.

若能对重点空间目标的轨道异常机动行为提早进行检测,就能够对即将发生的可能对我方空间目标造成不利的接近事件或其他威胁进行尽早规避,因此,对空间目标进行机动检测渐渐成为一个重要课题。If the orbital abnormal maneuvering behavior of key space targets can be detected early, the approaching events or other threats that may be unfavorable to our space targets can be avoided as soon as possible. Therefore, the maneuver detection of space targets has gradually become a important topic.

然而,该问题面临两个难题:一是对于脉冲轨道机动,由于机动前后空间目标的轨道速度出现了较大程度的变化,直接对所获得的观测数据弧段进行精密轨道确定通常会出现发散而导致难以收敛从而定轨失败;二是由于天基光学观测通过单次观测所得到的观测数据弧段所跨越的时间长度较短,其时间长度通常不超过两分钟,甚至在一分钟以内,这种观测数据弧段被称为短弧观测片段,由于单个短弧观测片段时间长度较短,空间目标轨道确定的精度难以保证。上述两方面的难题导致现有技术难以实现对天基短弧光学观测数据的轨道脉冲机动检测。However, this problem faces two difficulties: one is that for pulsed orbital maneuvers, since the orbital velocity of the space target changes to a large extent before and after the maneuvering, the direct determination of the precise orbit of the arc segment of the observation data usually leads to divergence and As a result, it is difficult to converge and the orbit determination fails. Second, because the arc of observation data obtained by space-based optical observations through a single observation spans a relatively short length of time, the length of time usually does not exceed two minutes, or even within one minute. This arc segment of observation data is called a short-arc observation segment. Due to the short duration of a single short-arc observation segment, it is difficult to guarantee the accuracy of space object orbit determination. The above two difficulties make it difficult to realize the orbital pulse maneuver detection of space-based short-arc optical observation data in the existing technology.

发明内容Contents of the invention

基于此,有必要针对上述技术问题,提供一种基于短弧天基光学观测的轨道机动智能检测方法和装置,能够对天基短弧光学观测片段进行机动检测,同时兼顾算法的计算效率。Based on this, it is necessary to address the above technical problems and provide an orbital maneuvering intelligent detection method and device based on short-arc space-based optical observations, which can perform maneuvering detection on segments of space-based short-arc optical observations while taking into account the computational efficiency of the algorithm.

基于短弧天基光学观测的轨道机动智能检测方法,包括:An intelligent detection method for orbital maneuvers based on short-arc space-based optical observations, including:

获取多组属于不同空间目标的历史观测弧段,采用二次多项式对所述历史观测弧段进行拟合与筛选,得到优选弧段;Obtain multiple groups of historical observation arcs belonging to different space objects, and use a quadratic polynomial to fit and screen the historical observation arcs to obtain an optimal arc;

根据所述优选弧段,对属于相同空间目标的观测弧段按照时间顺序排列,并确定时间上相邻的观测弧段的初始轨道;According to the preferred arc segment, the observation arc segments belonging to the same space object are arranged in chronological order, and the initial orbits of the observation arc segments adjacent in time are determined;

以所述初始轨道作为初值进行最小二乘迭代,对属于相同空间目标且时间上相邻的观测弧段进行轨道改进,得到轨道改进结果;Using the initial orbit as an initial value to perform least square iterations, and performing orbit improvement on observation arcs that belong to the same space target and are adjacent in time, and obtain an orbit improvement result;

将所述轨道改进结果转换为轨道根数,分别计算所述轨道根数与前一轨道根数以及后一轨道根数在半长轴、偏心率和轨道倾角的变化量,得到机动特征参数;Converting the orbital improvement result into an orbital element, calculating the variation of the orbital element, the previous orbital element, and the latter orbital element in the semi-major axis, eccentricity and orbital inclination, respectively, to obtain maneuvering characteristic parameters;

为每条机动特征参数打上机动标签,并根据所述机动特征参数和所述机动标签,对神经网络进行训练,建立标签模型;Putting a maneuvering label on each maneuvering characteristic parameter, and training the neural network according to the maneuvering characteristic parameter and the maneuvering label, and establishing a label model;

通过短弧天基光学观测,获得当前观测弧段;根据当前观测弧段和所述标签模型,得到当前观测弧段的当前机动标签;Obtain the current observation arc through short-arc space-based optical observation; obtain the current maneuvering tag of the current observation arc according to the current observation arc and the tag model;

根据当前机动标签,将属于相同空间目标的当前观测弧段划分为机动前观测弧段和机动后观测弧段;根据机动前观测弧段和机动后观测弧段,估算机动参数并完成轨道机动智能检测。According to the current maneuver label, the current observation arcs belonging to the same space target are divided into pre-maneuvering observation arcs and post-maneuvering observation arcs; according to the pre-maneuvering observation arcs and post-maneuvering observation arcs, maneuver parameters are estimated and orbital maneuver intelligence is completed detection.

在一个实施例中,获取多组属于不同空间目标的历史观测弧段,采用二次多项式对所述历史观测弧段进行拟合与筛选,得到优选弧段,具体为:In one embodiment, multiple groups of historical observation arcs belonging to different space objects are obtained, and a quadratic polynomial is used to fit and screen the historical observation arcs to obtain a preferred arc, specifically:

获取多组属于不同空间目标的历史观测弧段,所述历史观测弧段包括:赤经和赤纬;Obtain multiple groups of historical observation arcs belonging to different space objects, the historical observation arcs include: right ascension and declination;

采用二次多项式对所述历史观测弧段的赤经和赤纬进行拟合,得到赤经的拟合系数和赤纬的拟合系数;Adopt quadratic polynomial to carry out fitting to the right ascension and the declination of described historical observation arc section, obtain the fitting coefficient of right ascension and the fitting coefficient of declination;

根据赤经的拟合系数和赤纬的拟合系数,得到历史观测弧段的标准差;According to the fitting coefficient of right ascension and the fitting coefficient of declination, the standard deviation of the historical observation arc is obtained;

根据所述标准差对所述历史观测弧段进行筛选,得到优选弧段。The historically observed arc segments are screened according to the standard deviation to obtain an optimal arc segment.

在一个实施例中,采用二次多项式对所述历史观测弧段的赤经和赤纬进行拟合,得到赤经的拟合系数和赤纬的拟合系数,具体为:In one embodiment, a quadratic polynomial is used to fit the right ascension and declination of the historical observation arc to obtain a fitting coefficient of right ascension and a fitting coefficient of declination, specifically:

采用二次多项式分别对每个历史观测弧段中赤经、赤纬关于时间的函数式进行拟合,设赤经

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和赤纬
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对时间的函数可以表示分别为:The quadratic polynomials are used to fit the function expressions of right ascension and declination in each historical observation arc segment with respect to time, and the right ascension
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and Declination
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The function of time can be expressed as:

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(1)
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(1)

其中,

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为赤经的拟合系数,
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Figure 180847DEST_PATH_IMAGE010
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为赤纬的拟合系数,各拟合系数的初值取为:in,
Figure 276269DEST_PATH_IMAGE006
,
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,
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is the fitting coefficient of right ascension,
Figure 765522DEST_PATH_IMAGE009
,
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,
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is the fitting coefficient of declination, and the initial value of each fitting coefficient is taken as:

Figure 612146DEST_PATH_IMAGE012
(2)
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(2)

由于

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Figure 946361DEST_PATH_IMAGE014
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的偏导数分别为:because
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right
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,
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,
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The partial derivatives of are respectively:

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(3)
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(3)

因此可以使用最小二乘法得到对

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Figure 224896DEST_PATH_IMAGE022
Figure 448067DEST_PATH_IMAGE024
初值的改进量
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为:Therefore, the least squares method can be used to obtain the pair
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,
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,
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Improvement of the initial value
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,
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,
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for:

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(4)
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(4)

其中,

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的矩阵,
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的转置矩阵,上标﹣1表示矩阵的求逆运算,
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Figure 644135DEST_PATH_IMAGE035
维的向量,
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为赤经的多项式预测值;in,
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yes
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matrix,
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for
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The transposed matrix of , the superscript -1 represents the inverse operation of the matrix,
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yes
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dimension vector,
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is the polynomial predicted value of right ascension;

则将

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更新为:then will
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,
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,
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updated to:

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(5)
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(5)

重复式(4)和式(5)的过程直到

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小于设定的阈值,得到赤经的拟合系数
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;Repeat the process of formula (4) and formula (5) until
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is less than the set threshold, and the fitting coefficient of right ascension is obtained
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,
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,
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;

将赤纬

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执行以上相同的操作步骤,得到赤纬的拟合系数
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。Declination
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Perform the same operation steps above to get the fitting coefficient of declination
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,
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,
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.

在一个实施例中,根据赤经的拟合系数和赤纬的拟合系数,得到历史观测弧段的标准差,具体为:In one embodiment, according to the fitting coefficient of right ascension and the fitting coefficient of declination, the standard deviation of the historical observation arc segment is obtained, specifically:

定义一个历史观测弧段的中间时刻为

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,其中
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表示对应观测弧段的中间行序号,由此对于每一个历史观测弧段
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都有一个对应的中间时刻数据点:Define the middle moment of a historical observation arc as
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,in
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Indicates the serial number of the middle row corresponding to the observation arc, so for each historical observation arc
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Each has a corresponding intermediate time data point:

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(6)
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(6)

其中

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为中间时刻赤经,
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为中间时刻赤纬,
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为中间时刻赤经变化率,
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为中间时刻赤纬变化率,
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分别为中间时刻对应光学观测卫星的位置矢量与速度矢量,其计算式如下:in
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is the right ascension at the middle moment,
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is the declination at the intermediate moment,
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is the change rate of right ascension at the middle time,
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is the change rate of declination at the middle time,
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,
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are the position vector and velocity vector corresponding to the optical observation satellite at the intermediate time, respectively, and their calculation formulas are as follows:

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(7)
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(7)

对于每个观测时刻,计算对应时刻的赤经赤纬拟合值,将对应时刻的赤经赤纬的真实观测值与拟合作差,可以得到赤经赤纬的残差

Figure 822438DEST_PATH_IMAGE062
,进而得到标准差:For each observation moment, calculate the fitting value of right ascension and declination at the corresponding moment, and make a difference between the real observation value of right ascension and declination at the corresponding moment and the fitting difference, and the residual error of right ascension and declination can be obtained
Figure 822438DEST_PATH_IMAGE062
, and then get the standard deviation:

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Figure 900115DEST_PATH_IMAGE063

式中,

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表示第
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个残差,
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为残差均值,
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为数据点个数。In the formula,
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Indicates the first
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residuals,
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is the residual mean,
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is the number of data points.

在一个实施例中,为每条机动特征参数打上机动标签,并根据所述机动特征参数和所述机动标签,对神经网络进行训练,建立标签模型,具体为:In one embodiment, a maneuver label is marked on each maneuver characteristic parameter, and the neural network is trained according to the maneuver characteristic parameter and the maneuver label, and a label model is established, specifically:

对机动特征参数按比例进行随机划分,得到神经网络的训练集和测试集;Randomly divide the maneuvering feature parameters in proportion to obtain the training set and test set of the neural network;

为每条机动特征参数打上机动标签;Put a maneuver label on each maneuver characteristic parameter;

根据所述训练集、所述测试集以及所述机动标签,对神经网络进行有监督式训练,建立标签模型。According to the training set, the test set and the motorized label, supervised training is performed on the neural network to establish a label model.

在一个实施例中,为每条机动特征参数打上机动标签,具体为:In one embodiment, a maneuver label is placed on each maneuver characteristic parameter, specifically:

根据对应空间目标的实际机动情况为每条机动特征参数打上机动标签,若轨道机动发生在机动特征参数计算时所对应轨道根数的两观测弧段之间的时间区间内,则所述机动特征参数为有机动的机动特征参数,机动标签设为1;否则所述机动特征参数为无机动的机动特征参数,机动标签设为0。According to the actual maneuvering situation of the corresponding space target, a maneuvering label is marked on each maneuvering characteristic parameter. If the orbital maneuvering occurs in the time interval between the two observation arcs corresponding to the orbit element when the maneuvering characteristic parameter is calculated, the maneuvering characteristic The parameter is a maneuver characteristic parameter with maneuver, and the maneuver label is set to 1; otherwise, the maneuver characteristic parameter is a maneuver characteristic parameter without maneuver, and the maneuver label is set to 0.

在一个实施例中,通过短弧天基光学观测,获得当前观测弧段;根据当前观测弧段和所述标签模型,得到当前观测弧段的当前机动标签,具体为:In one embodiment, the current observation arc is obtained through short-arc space-based optical observation; according to the current observation arc and the tag model, the current maneuvering tag of the current observation arc is obtained, specifically:

通过短弧天基光学观测,获得当前观测弧段;Obtain the current observation arc segment through short-arc space-based optical observation;

对所述当前观测弧段采用二次多项式进行拟合与筛选,并确定时间上相邻的当前观测弧段的初始轨道,对属于相同空间目标且时间上相邻的当前观测弧段进行轨道改进,并得到当前机动特征参数;The current observation arc is fitted and screened by a quadratic polynomial, and the initial orbit of the current observation arc adjacent in time is determined, and the orbit is improved for the current observation arc belonging to the same space target and adjacent in time , and get the current maneuvering characteristic parameters;

将当前机动特征参数输入所述标签模型,得到当前观测弧段的当前机动标签。Input the current maneuver characteristic parameters into the label model to obtain the current maneuver label of the current observation arc.

在一个实施例中,根据当前机动标签,将属于相同空间目标的当前观测弧段划分为机动前观测弧段和机动后观测弧段,具体为:In one embodiment, according to the current maneuver label, the current observation arc segment belonging to the same space object is divided into an observation arc segment before maneuvering and an observation arc segment after maneuvering, specifically:

对属于相同空间目标的当前机动特征参数按其首个观测弧段首个数据点的观测时刻进行排序,并检测当前机动特征参数的当前机动标签;Sort the current maneuvering characteristic parameters belonging to the same space target according to the observation time of the first data point of the first observation arc, and detect the current maneuvering label of the current maneuvering characteristic parameters;

若当前机动标签全部为0,则所述空间目标在整个观测时间区间内没有进行脉冲轨道机动;If the current maneuver tags are all 0, then the space object has not performed pulse orbit maneuvers during the entire observation time interval;

若存在为1的当前机动标签,则以所述当前机动标签对应的当前机动特征参数计算时的轨道根数的两个观测弧段为分界点,将所述空间目标所属的观测弧段划分为机动前观测弧段和机动后观测弧段,并将机动前观测弧段和机动后观测弧段之间的时间区间定义为预估脉冲机动施加的时间区间。If there is a current maneuvering tag of 1, then the two observation arcs of the orbit elements when calculating the current maneuvering characteristic parameters corresponding to the current maneuvering tag are used as the dividing points, and the observation arcs to which the space object belongs are divided into The observation arc before the maneuver and the observation arc after the maneuver, and the time interval between the observation arc before the maneuver and the observation arc after the maneuver is defined as the time interval for predicting the application of the pulse maneuver.

在一个实施例中,根据机动前观测弧段和机动后观测弧段,估算机动参数并完成轨道机动智能检测,具体为:In one embodiment, according to the observation arc before maneuvering and the observation arc after maneuvering, maneuver parameters are estimated and orbit maneuver intelligent detection is completed, specifically:

根据机动前观测弧段和机动后观测弧段,进行最小二乘轨道迭代改进,得到机动前轨道改进结果与机动后轨道改进结果;According to the observation arc before the maneuver and the observation arc after the maneuver, the least squares trajectory is iteratively improved, and the trajectory improvement result before the maneuver and the trajectory improvement result after the maneuver are obtained;

对机动前轨道改进结果与机动后轨道改进结果在预估脉冲机动施加的时间区间内通过轨道交叉预报进行遍历,得到脉冲机动施加的极大似然时刻;The trajectory improvement results before the maneuver and the trajectory improvement results after the maneuver are traversed through the track crossing forecast in the estimated time interval of the impulse maneuver application, and the maximum likelihood time of the impulse maneuver application is obtained;

根据所述极大似然时刻,估算脉冲机动大小和脉冲机动施加方向,完成轨道机动智能检测。According to the maximum likelihood moment, the magnitude of the pulse maneuver and the application direction of the pulse maneuver are estimated to complete the intelligent detection of the orbital maneuver.

基于短弧天基光学观测的轨道机动智能检测方法装置,包括:An orbital maneuver intelligent detection method device based on short-arc space-based optical observation, including:

获取模块,用于获取多组属于不同空间目标的历史观测弧段,采用二次多项式对所述历史观测弧段进行拟合与筛选,得到优选弧段;The obtaining module is used to obtain multiple groups of historical observation arcs belonging to different space objects, and adopts a quadratic polynomial to fit and screen the historical observation arcs to obtain a preferred arc;

排列模块,用于根据所述优选弧段,对属于相同空间目标的观测弧段按照时间顺序排列,并确定时间上相邻的观测弧段的初始轨道;The arrangement module is used to arrange the observation arcs belonging to the same space object in chronological order according to the preferred arcs, and determine the initial orbits of the observation arcs adjacent in time;

迭代模块,用于以所述初始轨道作为初值进行最小二乘迭代,对属于相同空间目标且时间上相邻的观测弧段进行轨道改进,得到轨道改进结果;The iteration module is used to perform least squares iteration using the initial orbit as an initial value, and perform orbit improvement on observation arcs that belong to the same space target and are adjacent in time to obtain an orbit improvement result;

计算模块,用于将所述轨道改进结果转换为轨道根数,分别计算所述轨道根数与前一轨道根数以及后一轨道根数在半长轴、偏心率和轨道倾角的变化量,得到机动特征参数;A calculation module, configured to convert the orbital improvement result into an orbital element, and calculate the changes in the semi-major axis, eccentricity, and orbital inclination of the orbital element, the previous orbital element, and the subsequent orbital element, respectively, Get the maneuvering characteristic parameters;

建模模块,用于为每条机动特征参数打上机动标签,并根据所述机动特征参数和所述机动标签,对神经网络进行训练,建立标签模型;A modeling module is used to label each maneuver feature parameter, and train the neural network according to the maneuver feature parameter and the maneuver label to establish a label model;

标签模块,用于通过短弧天基光学观测,获得当前观测弧段;根据当前观测弧段和所述标签模型,得到当前观测弧段的当前机动标签;The label module is used to obtain the current observation arc through short-arc space-based optical observation; obtain the current maneuvering label of the current observation arc according to the current observation arc and the label model;

估算模块,用于根据当前机动标签,将属于相同空间目标的当前观测弧段划分为机动前观测弧段和机动后观测弧段;根据机动前观测弧段和机动后观测弧段,估算机动参数并完成轨道机动智能检测。The estimation module is used to divide the current observation arcs belonging to the same space target into pre-maneuvering observation arcs and post-maneuvering observation arcs according to the current maneuvering label; estimate maneuvering parameters according to the pre-maneuvering observation arcs and post-maneuvering observation arcs And complete the track maneuver intelligent detection.

上述基于短弧天基光学观测的轨道机动智能检测方法,获取多组属于不同空间目标的历史观测弧段,采用二次多项式对历史观测弧段进行拟合与筛选,对属于相同空间目标的观测弧段按照时间顺序排列,确定时间上相邻的观测弧段的初始轨道,以初始轨道作为初值进行最小二乘迭代,对属于相同空间目标且时间上相邻的观测弧段进行轨道改进,得到轨道改进结果,将轨道改进结果转换为轨道根数,分别计算所述轨道根数与前一轨道根数以及后一轨道根数在半长轴、偏心率和轨道倾角的变化量,得到机动特征参数;为每条机动特征参数打上机动标签,并根据机动特征参数和机动标签,对神经网络进行训练,建立标签模型;通过短弧天基光学观测,获得当前观测弧段;根据当前观测弧段和标签模型,得到当前观测弧段的当前机动标签;根据当前机动标签,将属于相同空间目标的当前观测弧段划分为机动前观测弧段和机动后观测弧段;根据机动前观测弧段和机动后观测弧段,估算机动参数并完成轨道机动智能检测(轨道机动智能检测包括:根据机动标签判断有无轨道机动,估算机动参数)。本申请适用于天基光学短弧观测条件下的空间目标脉冲轨道机动检测,通过提取空间目标轨道机动前后的关键特征构造了机动特征参数,从而实现了对神经网络的有效训练,在巧妙规避了机动检测阈值设计问题的同时,还兼顾了脉冲轨道机动检测的计算效率与计算正确率。The above-mentioned orbital maneuvering intelligent detection method based on short-arc space-based optical observation obtains multiple sets of historical observation arcs belonging to different space objects, and uses quadratic polynomials to fit and filter the historical observation arcs. The arcs are arranged in chronological order, and the initial orbits of the observation arcs adjacent in time are determined, and the least squares iteration is performed with the initial orbit as the initial value, and the orbits of the observation arcs that belong to the same space target and are adjacent in time are improved. Obtain the orbit improvement result, convert the orbit improvement result into the orbit element, calculate the variation of the orbit element, the previous orbit element and the latter orbit element in the semi-major axis, eccentricity and orbit inclination, and obtain the maneuvering Characteristic parameters; mark each maneuvering characteristic parameter with a maneuvering label, and train the neural network according to the maneuvering characteristic parameter and maneuvering label, and establish a label model; obtain the current observation arc segment through short-arc space-based optical observation; according to the current observation arc segment and label model to obtain the current maneuvering label of the current observation arc; according to the current maneuvering label, the current observation arc belonging to the same space object is divided into the pre-maneuvering observation arc and the post-maneuvering observation arc; according to the pre-maneuvering observation arc And observe the arc after maneuvering, estimate the maneuvering parameters and complete the intelligent detection of orbital maneuvering (the intelligent detection of orbital maneuvering includes: judging whether there is orbital maneuvering according to the maneuvering label, and estimating the maneuvering parameters). This application is applicable to the space target pulse orbit maneuver detection under space-based optical short-arc observation conditions. By extracting the key features of the space target orbit before and after the maneuver, the maneuver characteristic parameters are constructed, thereby realizing the effective training of the neural network, and ingeniously avoiding the In addition to the problem of maneuver detection threshold design, the calculation efficiency and calculation accuracy of pulse track maneuver detection are also taken into account.

附图说明Description of drawings

图1为一个实施例中基于短弧天基光学观测的轨道机动智能检测方法的应用场景图;Fig. 1 is an application scenario diagram of an orbital maneuver intelligent detection method based on short-arc space-based optical observation in an embodiment;

图2为一个实施例中基于短弧天基光学观测的轨道机动智能检测方法的流程示意图;Figure 2 is a schematic flow chart of an orbital maneuvering intelligent detection method based on short-arc space-based optical observations in one embodiment;

图3为一个实施例中基于短弧天基光学观测的轨道机动智能检测装置的结构框图。Fig. 3 is a structural block diagram of an orbital mobile intelligent detection device based on short-arc space-based optical observation in an embodiment.

具体实施方式Detailed ways

为了使本申请的目的、技术方案及优点更加清楚明白,以下结合附图及实施例,对本申请进行进一步详细说明。应当理解,此处描述的具体实施例仅仅用以解释本申请,并不用于限定本申请。基于本申请中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本申请保护的范围。In order to make the purpose, technical solution and advantages of the present application clearer, the present application will be further described in detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described here are only used to explain the present application, and are not intended to limit the present application. Based on the embodiments in this application, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the scope of protection of this application.

需要说明,本申请实施例中所有方向性指示(诸如上、下、左、右、前、后……)仅用于解释在某一特定姿态(如附图所示)下各部件之间的相对位置关系、运动情况等,如果该特定姿态发生改变时,则该方向性指示也相应地随之改变。It should be noted that all directional indications (such as up, down, left, right, front, back...) in the embodiments of the present application are only used to explain the relationship between the components in a certain posture (as shown in the figure). Relative positional relationship, movement conditions, etc., if the specific posture changes, the directional indication will also change accordingly.

另外,在本申请中如涉及“第一”、“第二”等的描述仅用于描述目的,而不能理解为指示或暗示其相对重要性或者隐含指明所指示的技术特征的数量。由此,限定有“第一”、“第二”的特征可以明示或者隐含地包括至少一个该特征。在本申请的描述中,“多组”的含义是至少两组,例如两组,三组等,除非另有明确具体的限定。In addition, descriptions such as "first", "second" and so on in this application are only for description purposes, and should not be understood as indicating or implying their relative importance or implicitly indicating the number of indicated technical features. Thus, the features defined as "first" and "second" may explicitly or implicitly include at least one of these features. In the description of the present application, "multiple groups" means at least two groups, such as two groups, three groups, etc., unless specifically defined otherwise.

在本申请中,除非另有明确的规定和限定,术语“连接”、“固定”等应做广义理解,例如,“固定”可以是固定连接,也可以是可拆卸连接,或成一体;可以是机械连接,也可以是电连接,还可以是物理连接或无线通信连接;可以是直接相连,也可以通过中间媒介间接相连,可以是两个元件内部的连通或两个元件的相互作用关系,除非另有明确的限定。对于本领域的普通技术人员而言,可以根据具体情况理解上述术语在本申请中的具体含义。In this application, unless otherwise clearly specified and limited, the terms "connection" and "fixation" should be interpreted in a broad sense, for example, "fixation" can be a fixed connection, a detachable connection, or an integral body; It can be a mechanical connection, an electrical connection, a physical connection or a wireless communication connection; it can be a direct connection or an indirect connection through an intermediary, and it can be an internal connection between two components or an interaction relationship between two components. Unless expressly defined otherwise. Those of ordinary skill in the art can understand the specific meanings of the above terms in this application according to specific situations.

另外,本申请各个实施例之间的技术方案可以相互结合,但是必须是以本领域普通技术人员能够实现为基础,当技术方案的结合出现相互矛盾或无法实现时应当认为这种技术方案的结合不存在,也不在本申请要求的保护范围之内。In addition, the technical solutions of the various embodiments of the present application can be combined with each other, but it must be based on the realization of those skilled in the art. When the combination of technical solutions is contradictory or cannot be realized, it should be considered as a combination of technical solutions. Does not exist, nor is it within the scope of protection required by this application.

本申请提供的方法,可以应用于如图1所示的应用环境中。其中,终端102通过网络与服务器104进行通信,终端102可以包括但不限于是各种个人计算机、笔记本电脑、智能手机、平板电脑和便携式可穿戴设备,服务器104可以是各类门户网站、工作系统后台对应的服务器等。The method provided in this application can be applied to the application environment shown in FIG. 1 . Among them, the terminal 102 communicates with the server 104 through the network, the terminal 102 can include but not limited to various personal computers, notebook computers, smart phones, tablet computers and portable wearable devices, the server 104 can be various portal websites, work systems The corresponding server in the background, etc.

本申请提供了一种基于短弧天基光学观测的轨道机动智能检测方法,如图2所示,在一个实施例中,以该方法应用于图1中的终端为例进行说明,包括:This application provides an orbital maneuver intelligent detection method based on short-arc space-based optical observation, as shown in Figure 2. In one embodiment, the method is applied to the terminal in Figure 1 as an example, including:

步骤201,获取多组属于不同空间目标的历史观测弧段,采用二次多项式对所述历史观测弧段进行拟合与筛选,得到优选弧段。In step 201, multiple sets of historical observation arcs belonging to different space objects are acquired, and a quadratic polynomial is used to fit and filter the historical observation arcs to obtain an optimal arc.

具体的:specific:

获取多组属于不同空间目标的历史观测弧段,所述历史观测弧段包括:赤经和赤纬;采用二次多项式对所述历史观测弧段的赤经和赤纬进行拟合,得到赤经的拟合系数和赤纬的拟合系数;根据赤经的拟合系数和赤纬的拟合系数,得到历史观测弧段的标准差;根据所述标准差对所述历史观测弧段进行筛选,得到优选弧段。Obtain multiple groups of historical observation arcs belonging to different space targets, the historical observation arcs include: right ascension and declination; use a quadratic polynomial to fit the right ascension and declination of the historical observation arcs to obtain declination The fitting coefficient of longitude and the fitting coefficient of declination; According to the fitting coefficient of right ascension and the fitting coefficient of declination, obtain the standard deviation of the historical observation arc; Screen to get the optimal arc segment.

更具体的:more specific:

步骤2011、已知通过低轨光学观测卫星上安装的天基观测设备进行长时间光学观测,并进行弧段关联匹配后,得到的多组分别属于不同空间目标的观测弧段(即历史观测弧段),每个观测弧段数据包括若干个观测数据点,每个观测数据点由被观测目标相对于低轨光学观测卫星的赤经、赤纬、观测时刻以及观测平台的位置速度信息组成。即天基测角数据

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步骤2012、采用二次多项式分别对每个观测弧段中赤经、赤纬关于时间的函数式进行拟合,从而得到赤经、赤纬随时间的变化率信息。Step 2012, using quadratic polynomials to respectively fit the function expressions of right ascension and declination with respect to time in each observation arc segment, so as to obtain the change rate information of right ascension and declination with time.

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,
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is the fitting coefficient of declination, and the initial value of each undetermined coefficient can be taken as:

Figure 86802DEST_PATH_IMAGE114
(2)
Figure 86802DEST_PATH_IMAGE114
(2)

由于

Figure 900037DEST_PATH_IMAGE115
Figure 663594DEST_PATH_IMAGE116
Figure 562804DEST_PATH_IMAGE118
Figure 247863DEST_PATH_IMAGE119
的偏导数分别为:because
Figure 900037DEST_PATH_IMAGE115
right
Figure 663594DEST_PATH_IMAGE116
,
Figure 562804DEST_PATH_IMAGE118
,
Figure 247863DEST_PATH_IMAGE119
The partial derivatives of are respectively:

Figure 848478DEST_PATH_IMAGE120
(3)
Figure 848478DEST_PATH_IMAGE120
(3)

因此可以使用最小二乘法得到对

Figure 466541DEST_PATH_IMAGE122
Figure 612352DEST_PATH_IMAGE124
Figure 519128DEST_PATH_IMAGE039
初值的改进量
Figure 408586DEST_PATH_IMAGE125
Figure 333686DEST_PATH_IMAGE126
Figure 915977DEST_PATH_IMAGE127
为:Therefore, the least squares method can be used to obtain the pair
Figure 466541DEST_PATH_IMAGE122
,
Figure 612352DEST_PATH_IMAGE124
,
Figure 519128DEST_PATH_IMAGE039
Improvement of the initial value
Figure 408586DEST_PATH_IMAGE125
,
Figure 333686DEST_PATH_IMAGE126
,
Figure 915977DEST_PATH_IMAGE127
for:

Figure 106787DEST_PATH_IMAGE128
(4)
Figure 106787DEST_PATH_IMAGE128
(4)

其中

Figure 799936DEST_PATH_IMAGE129
Figure 595854DEST_PATH_IMAGE130
的矩阵,
Figure 598314DEST_PATH_IMAGE131
Figure 214103DEST_PATH_IMAGE132
的转置矩阵,上标﹣1表示矩阵的求逆运算,
Figure 445364DEST_PATH_IMAGE133
Figure 95788DEST_PATH_IMAGE134
维的向量,
Figure 816620DEST_PATH_IMAGE135
为赤经的多项式预测值:in
Figure 799936DEST_PATH_IMAGE129
yes
Figure 595854DEST_PATH_IMAGE130
matrix,
Figure 598314DEST_PATH_IMAGE131
for
Figure 214103DEST_PATH_IMAGE132
The transposed matrix of , the superscript -1 represents the inverse operation of the matrix,
Figure 445364DEST_PATH_IMAGE133
yes
Figure 95788DEST_PATH_IMAGE134
dimension vector,
Figure 816620DEST_PATH_IMAGE135
is the polynomial predictor of right ascension:

则将

Figure 437481DEST_PATH_IMAGE137
Figure 472434DEST_PATH_IMAGE139
Figure 977364DEST_PATH_IMAGE141
更新为:then will
Figure 437481DEST_PATH_IMAGE137
,
Figure 472434DEST_PATH_IMAGE139
,
Figure 977364DEST_PATH_IMAGE141
updated to:

Figure 806780DEST_PATH_IMAGE142
(5)
Figure 806780DEST_PATH_IMAGE142
(5)

重复式(4)和式(5)的过程直到

Figure 646429DEST_PATH_IMAGE143
小于设定的阈值即可,一般可取为
Figure 281810DEST_PATH_IMAGE144
,最终可以得到拟合出的赤经的拟合系数
Figure 906826DEST_PATH_IMAGE145
Figure 172722DEST_PATH_IMAGE147
Figure 250400DEST_PATH_IMAGE149
;将赤纬
Figure 610843DEST_PATH_IMAGE151
执行以上相同的操作步骤可以得到相应的赤纬的拟合系数
Figure 90366DEST_PATH_IMAGE152
Figure 527163DEST_PATH_IMAGE153
Figure 888874DEST_PATH_IMAGE154
。Repeat the process of formula (4) and formula (5) until
Figure 646429DEST_PATH_IMAGE143
is less than the set threshold, generally it can be taken as
Figure 281810DEST_PATH_IMAGE144
, and finally the fitting coefficient of the fitted right ascension can be obtained
Figure 906826DEST_PATH_IMAGE145
,
Figure 172722DEST_PATH_IMAGE147
,
Figure 250400DEST_PATH_IMAGE149
; will declination
Figure 610843DEST_PATH_IMAGE151
Perform the same operation steps above to get the fitting coefficient of the corresponding declination
Figure 90366DEST_PATH_IMAGE152
,
Figure 527163DEST_PATH_IMAGE153
,
Figure 888874DEST_PATH_IMAGE154
.

步骤2013、定义一个观测弧段的中间时刻为

Figure 69320DEST_PATH_IMAGE155
,其中
Figure 918196DEST_PATH_IMAGE156
表示对应观测弧段的中间行序号,由此对于每一个观测弧段
Figure 260316DEST_PATH_IMAGE157
都有一个对应的中间时刻数据点:Step 2013, defining the intermediate moment of an observation arc as
Figure 69320DEST_PATH_IMAGE155
,in
Figure 918196DEST_PATH_IMAGE156
Indicates the serial number of the middle row corresponding to the observation arc, so for each observation arc
Figure 260316DEST_PATH_IMAGE157
Each has a corresponding intermediate time data point:

Figure 47006DEST_PATH_IMAGE158
(6)
Figure 47006DEST_PATH_IMAGE158
(6)

其中

Figure 31143DEST_PATH_IMAGE159
为中间时刻赤经,
Figure 281995DEST_PATH_IMAGE161
为中间时刻赤纬,
Figure 301074DEST_PATH_IMAGE163
为中间时刻赤经变化率,
Figure 575061DEST_PATH_IMAGE164
为中间时刻赤纬变化率,
Figure 97309DEST_PATH_IMAGE166
Figure 140351DEST_PATH_IMAGE167
分别为中间时刻对应光学观测卫星的位置矢量与速度矢量。其计算式如下:in
Figure 31143DEST_PATH_IMAGE159
is the right ascension at the middle moment,
Figure 281995DEST_PATH_IMAGE161
is the declination at the intermediate moment,
Figure 301074DEST_PATH_IMAGE163
is the change rate of right ascension at the middle time,
Figure 575061DEST_PATH_IMAGE164
is the change rate of declination at the middle time,
Figure 97309DEST_PATH_IMAGE166
,
Figure 140351DEST_PATH_IMAGE167
are the position vector and velocity vector of the optical observation satellite corresponding to the intermediate moment, respectively. Its calculation formula is as follows:

Figure 339120DEST_PATH_IMAGE168
(7)
Figure 339120DEST_PATH_IMAGE168
(7)

步骤2014、对于每个观测时刻,可以通过式(1)得到对应时刻的赤经赤纬拟合值,将对应时刻的赤经赤纬的真实观测值与拟合作差,可以得到赤经赤纬的残差。根据总体标准差计算公式:Step 2014. For each observation time, the fitting value of right ascension and declination at the corresponding time can be obtained through formula (1), and the real observation value of right ascension and declination at the corresponding time is made a difference with the fitting value, and right ascension and declination can be obtained residuals. According to the formula for calculating the population standard deviation:

Figure 365982DEST_PATH_IMAGE169
(8)
Figure 365982DEST_PATH_IMAGE169
(8)

由此可以计算得到一个弧段的拟合值与实际观测值残差的标准差

Figure 426342DEST_PATH_IMAGE170
,其中,
Figure 651787DEST_PATH_IMAGE172
表示第
Figure 772190DEST_PATH_IMAGE174
个残差,
Figure 270036DEST_PATH_IMAGE176
为残差均值,
Figure 134087DEST_PATH_IMAGE177
为数据点个数。若某数据点的残差大于
Figure 151721DEST_PATH_IMAGE178
可以认定该点为坏点,应当将该点进行剔除,否则可能会影响后续轨道改进的精度甚至导致轨道改进不收敛。From this, the standard deviation of the fitted value of an arc segment and the residual of the actual observed value can be calculated
Figure 426342DEST_PATH_IMAGE170
,in,
Figure 651787DEST_PATH_IMAGE172
Indicates the first
Figure 772190DEST_PATH_IMAGE174
residuals,
Figure 270036DEST_PATH_IMAGE176
is the residual mean,
Figure 134087DEST_PATH_IMAGE177
is the number of data points. If the residual of a data point is greater than
Figure 151721DEST_PATH_IMAGE178
This point can be identified as a bad point and should be eliminated, otherwise it may affect the accuracy of subsequent track improvement or even lead to non-convergence of track improvement.

步骤202,根据所述优选弧段,对属于相同空间目标的观测弧段按照时间顺序排列,并确定时间上相邻的观测弧段的初始轨道。Step 202, according to the preferred arc segment, arrange the observation arc segments belonging to the same space object in chronological order, and determine the initial orbits of the observation arc segments adjacent in time.

具体的:specific:

步骤2021、将属于同一空间目标的观测弧段根据其首个数据点的观测时刻的先后进行排序,设经排序后得到的天基测角数据弧段为

Figure 443025DEST_PATH_IMAGE179
Figure 428168DEST_PATH_IMAGE180
Figure 95910DEST_PATH_IMAGE181
,其中
Figure 30368DEST_PATH_IMAGE182
为空间目标数量,
Figure 492573DEST_PATH_IMAGE184
为观测弧段的数量。Step 2021, sort the observation arcs belonging to the same space object according to the order of the observation time of the first data point, and assume that the space-based angle measurement data arc obtained after sorting is
Figure 443025DEST_PATH_IMAGE179
,
Figure 428168DEST_PATH_IMAGE180
,
Figure 95910DEST_PATH_IMAGE181
,in
Figure 30368DEST_PATH_IMAGE182
is the number of spatial objects,
Figure 492573DEST_PATH_IMAGE184
is the number of observation arcs.

步骤2022、对经时间排序后每相邻的两个观测弧段确定一条初始轨道,若因相邻两弧段之间时间相差过大而难以联合两观测弧段确定其初始轨道的情形,也可采用对其中一个观测弧段进行初始轨道确定所获得的结果作为相应的初轨。Step 2022, determine an initial orbit for every two adjacent observation arcs after time sorting, if the time difference between the adjacent two arcs is too large and it is difficult to combine the two observation arcs to determine the initial orbit, also The result obtained by determining the initial orbit of one of the observation arcs can be used as the corresponding initial orbit.

需要说明,对于仅测角类型的观测数据,其初始轨道确定算法已是航天动力学领域成熟的算法,例如可参考以下文献中的初轨确定方法:刘林,胡松杰,曹建峰,汤靖师. 航天器定轨理论与应用[M]. 电子工业出版社,2015,北京。It should be noted that for the observation data of angle measurement only, the initial orbit determination algorithm is a mature algorithm in the field of aerospace dynamics, for example, you can refer to the initial orbit determination method in the following literature: Liu Lin, Hu Songjie, Cao Jianfeng, Tang Jingshi. Spacecraft Orbit Determination Theory and Application [M]. Electronic Industry Press, 2015, Beijing.

设得到的初始轨道结果为

Figure 715744DEST_PATH_IMAGE185
Figure 439374DEST_PATH_IMAGE186
Figure 431601DEST_PATH_IMAGE187
,其中
Figure 799128DEST_PATH_IMAGE189
为空间目标数量,
Figure 509595DEST_PATH_IMAGE190
为观测弧段的数量,
Figure 768407DEST_PATH_IMAGE191
Figure 411878DEST_PATH_IMAGE192
为定轨历元时刻,一般选取为首个数据点的观测时刻或整个观测弧段的中间时刻,
Figure 684727DEST_PATH_IMAGE193
Figure 616911DEST_PATH_IMAGE194
为分别为定轨历元时刻对应的空间目标的位置和速度矢量。Suppose the obtained initial orbit result is
Figure 715744DEST_PATH_IMAGE185
,
Figure 439374DEST_PATH_IMAGE186
,
Figure 431601DEST_PATH_IMAGE187
,in
Figure 799128DEST_PATH_IMAGE189
is the number of spatial objects,
Figure 509595DEST_PATH_IMAGE190
is the number of observation arcs,
Figure 768407DEST_PATH_IMAGE191
,
Figure 411878DEST_PATH_IMAGE192
is the orbit determination epoch time, generally selected as the observation time of the first data point or the middle time of the entire observation arc,
Figure 684727DEST_PATH_IMAGE193
and
Figure 616911DEST_PATH_IMAGE194
are the position and velocity vectors of the space object corresponding to the orbit determination epoch, respectively.

步骤203,以所述初始轨道作为初值进行最小二乘迭代,对属于相同空间目标且时间上相邻的观测弧段进行轨道改进,得到轨道改进结果。In step 203, the least squares iteration is performed with the initial orbit as an initial value, and the orbit improvement is performed on the observation arc segments that belong to the same space target and are adjacent in time to obtain an orbit improvement result.

具体的:specific:

步骤2031、将按时间排序后相邻的观测弧段两两之间进行最小二乘迭代轨道改进,迭代初值为步骤2022中所得到的初始轨道确定结果,最小二乘迭代轨道改进算法也是航天动力学领域成熟的算法,例如可参考以下文献中的轨道改进方法:刘林,胡松杰,曹建峰,汤靖师. 航天器定轨理论与应用[M]. 电子工业出版社,2015,北京。Step 2031, perform least squares iterative orbit improvement between adjacent observation arcs sorted by time, the initial value of the iteration is the initial orbit determination result obtained in step 2022, and the least squares iterative orbit improvement algorithm is also an aerospace For mature algorithms in the field of dynamics, for example, refer to the orbit improvement methods in the following literature: Liu Lin, Hu Songjie, Cao Jianfeng, Tang Jingshi. Spacecraft Orbit Determination Theory and Application [M]. Electronic Industry Press, 2015, Beijing.

步骤2032、将得到的所有轨道改进结果进行存储,设得到的轨道改进结果为

Figure 226884DEST_PATH_IMAGE195
Figure 177391DEST_PATH_IMAGE196
Figure 417880DEST_PATH_IMAGE197
,其中
Figure 571781DEST_PATH_IMAGE199
为空间目标数量,
Figure 923128DEST_PATH_IMAGE201
为观测弧段的数量,
Figure 993721DEST_PATH_IMAGE202
Figure 201848DEST_PATH_IMAGE203
Figure 108624DEST_PATH_IMAGE204
Figure 263662DEST_PATH_IMAGE205
的定义与步骤2022中的
Figure 939494DEST_PATH_IMAGE206
Figure 773982DEST_PATH_IMAGE207
Figure 168055DEST_PATH_IMAGE208
定义相同。Step 2032, store all the track improvement results obtained, and assume that the track improvement results obtained are
Figure 226884DEST_PATH_IMAGE195
,
Figure 177391DEST_PATH_IMAGE196
,
Figure 417880DEST_PATH_IMAGE197
,in
Figure 571781DEST_PATH_IMAGE199
is the number of spatial objects,
Figure 923128DEST_PATH_IMAGE201
is the number of observation arcs,
Figure 993721DEST_PATH_IMAGE202
,
Figure 201848DEST_PATH_IMAGE203
,
Figure 108624DEST_PATH_IMAGE204
and
Figure 263662DEST_PATH_IMAGE205
The definition of and in step 2022
Figure 939494DEST_PATH_IMAGE206
,
Figure 773982DEST_PATH_IMAGE207
and
Figure 168055DEST_PATH_IMAGE208
Same definition.

需要进行注意的是,由于是对相邻的观测弧段两两之间进行初轨确定与轨道改进,因此对于某个存在

Figure 595625DEST_PATH_IMAGE210
个观测弧段的空间目标,只会存在
Figure 391543DEST_PATH_IMAGE211
条初轨确定结果与轨道改进结果。It should be noted that since the initial orbit determination and orbit improvement are carried out between adjacent observation arcs, for a certain existence
Figure 595625DEST_PATH_IMAGE210
The space target of observation arc segment will only exist
Figure 391543DEST_PATH_IMAGE211
The results of initial orbit determination and orbit improvement.

步骤204,将所述轨道改进结果转换为轨道根数,分别计算所述轨道根数与前一轨道根数以及后一轨道根数在半长轴、偏心率和轨道倾角的变化量,得到机动特征参数。Step 204, converting the orbit improvement result into orbital elements, calculating the changes in the semi-major axis, eccentricity, and orbital inclination of the orbital elements, the previous orbital elements, and the subsequent orbital elements, respectively, to obtain maneuvering Characteristic Parameters.

具体的:specific:

将所述轨道改进结果转换为轨道根数,对属于同一空间目标且时间上相邻的每三组轨道根数中的第一组与第二组,第二组与第三组(所述轨道根数为第二组,前一轨道根数为第一组,后一轨道根数为第三组)的半长轴、偏心率与轨道倾角进行作差分别得到两组半长轴、偏心率与轨道倾角的变化量,将这两组半长轴、偏心率与轨道倾角的变化值记为一条机动特征参数。Convert the orbital improvement result into orbital elements, and for every three groups of orbital elements that belong to the same space target and are adjacent in time, the first group and the second group, the second group and the third group (the orbit The number of roots is the second group, the number of the previous orbit is the first group, and the number of the latter orbit is the third group) and the semi-major axis, eccentricity and orbital inclination are differenced to obtain the semi-major axis and eccentricity of the two groups respectively and the variation of orbital inclination, and record the variation values of these two groups of semi-major axis, eccentricity and orbital inclination as a maneuver characteristic parameter.

更具体的:more specific:

步骤2041、将得到的轨道改进结果转换为轨道根数,设得到的轨道根数结果为

Figure 128423DEST_PATH_IMAGE212
Figure 806529DEST_PATH_IMAGE213
Figure 303370DEST_PATH_IMAGE214
,其中
Figure 157056DEST_PATH_IMAGE215
为空间目标数量,
Figure 877888DEST_PATH_IMAGE216
为观测弧段的数量,
Figure 230240DEST_PATH_IMAGE217
Figure 999613DEST_PATH_IMAGE218
分别对应轨道根数中的半长轴、偏心率、轨道倾角、升交点赤经、近地点辐角与真近点角。由空间目标的位置速度计算轨道根数的计算式为:Step 2041, convert the obtained orbital improvement result into an orbital element, and assume that the obtained orbital element result is
Figure 128423DEST_PATH_IMAGE212
,
Figure 806529DEST_PATH_IMAGE213
,
Figure 303370DEST_PATH_IMAGE214
,in
Figure 157056DEST_PATH_IMAGE215
is the number of spatial objects,
Figure 877888DEST_PATH_IMAGE216
is the number of observation arcs,
Figure 230240DEST_PATH_IMAGE217
,
Figure 999613DEST_PATH_IMAGE218
Corresponding to the semi-major axis, eccentricity, orbital inclination, right ascension of ascending node, argument of perigee and true anomaly in orbital elements respectively. The formula for calculating orbital elements from the position and velocity of space objects is:

Figure 770123DEST_PATH_IMAGE219
(9)
Figure 770123DEST_PATH_IMAGE219
(9)

其中

Figure 865118DEST_PATH_IMAGE220
为地心引力常量,
Figure 704767DEST_PATH_IMAGE222
为升交点幅角。in
Figure 865118DEST_PATH_IMAGE220
is the gravitational constant,
Figure 704767DEST_PATH_IMAGE222
is the argument of ascending node.

步骤2042、将时间上相邻的每三组轨道根数中的第一组与第二组,第二组与第三组的半长轴、偏心率与轨道倾角进行作差分别得到两组半长轴、偏心率与轨道倾角的变化量,将这两组半长轴、偏心率与轨道倾角变化量的绝对值记为一条机动特征参数并储存下来,设得到的机动特征参数结果为

Figure 340148DEST_PATH_IMAGE223
Figure 965164DEST_PATH_IMAGE225
Figure 965481DEST_PATH_IMAGE226
,其中为空间目标数量,为观测弧段的数量。机动特征参数的具体定义为
Figure 43159DEST_PATH_IMAGE227
,其中
Figure 672111DEST_PATH_IMAGE228
分别表示半长轴、偏心率、轨道倾角的变化量,其计算式如下所示:Step 2042, taking the difference between the first group and the second group, the second group and the third group's semi-major axis, eccentricity and orbital inclination angle in every three groups of orbital radicals that are adjacent in time to obtain two and a half groups For the variation of the major axis, eccentricity and orbital inclination, the absolute value of the two sets of semi-major axis, eccentricity and orbital inclination are recorded as a maneuvering characteristic parameter and stored, and the result of the obtained maneuvering characteristic parameter is assumed to be
Figure 340148DEST_PATH_IMAGE223
,
Figure 965164DEST_PATH_IMAGE225
,
Figure 965481DEST_PATH_IMAGE226
, where is the number of space targets, and is the number of observation arcs. The specific definition of the maneuvering characteristic parameters is
Figure 43159DEST_PATH_IMAGE227
,in
Figure 672111DEST_PATH_IMAGE228
Respectively represent the variation of the semi-major axis, eccentricity, and orbital inclination, and their calculation formulas are as follows:

Figure 151633DEST_PATH_IMAGE229
(10)
Figure 151633DEST_PATH_IMAGE229
(10)

需要注意的是,对于某个存在

Figure 385169DEST_PATH_IMAGE230
个观测弧段的空间目标,由于经步骤201至步骤203以及步骤2041会计算得到
Figure DEST_PATH_IMAGE231
条轨道根数,且每相邻的三组轨道根数才能计算得到一条机动特征参数,因此对于该空间目标,只会存在
Figure 418984DEST_PATH_IMAGE232
条机动特征参数。It should be noted that for an existing
Figure 385169DEST_PATH_IMAGE230
The space target of the observation arc segment will be calculated by step 201 to step 203 and step 2041
Figure DEST_PATH_IMAGE231
The number of orbital elements, and every three adjacent sets of orbital elements can be calculated to obtain a maneuvering characteristic parameter, so for this space target, there will only be
Figure 418984DEST_PATH_IMAGE232
Bar maneuver characteristic parameters.

步骤205,为每条机动特征参数打上机动标签,并根据所述机动特征参数和所述机动标签,对神经网络进行训练,建立标签模型。In step 205, a maneuver label is attached to each maneuver feature parameter, and a neural network is trained according to the maneuver feature parameter and the maneuver label to establish a label model.

具体的:specific:

对机动特征参数按比例进行随机划分,得到神经网络的训练集和测试集;根据对应空间目标的实际机动情况为每条机动特征参数打上机动标签,若轨道机动发生在机动特征参数计算时所对应轨道根数(即:第二组轨道根数)的两观测弧段之间的时间区间内,则所述机动特征参数为有机动的机动特征参数,机动标签设为1,否则所述机动特征参数为无机动的机动特征参数,机动标签设为0;根据所述训练集、所述测试集以及所述机动标签,对神经网络进行有监督式训练,建立标签模型。Randomly divide the maneuvering characteristic parameters in proportion to obtain the training set and test set of the neural network; according to the actual maneuvering situation of the corresponding space target, put a maneuvering label on each maneuvering characteristic parameter. In the time interval between two observation arcs of the orbital elements (that is, the second group of orbital elements), the maneuvering characteristic parameter is a maneuvering characteristic parameter, and the maneuvering label is set to 1; otherwise, the maneuvering characteristic The parameter is a maneuver characteristic parameter without maneuver, and the maneuver label is set to 0; according to the training set, the test set and the maneuver label, supervised training is carried out to the neural network, and a label model is established.

更具体的:more specific:

步骤2051、根据已知空间目标的天基光学观测数据(一般不少于1000个观测弧段,其中还必须包含有进行过脉冲轨道机动的空间目标),依照前四步(步骤201-步骤204)进行处理并最终得到多条机动特征参数。Step 2051. According to the space-based optical observation data of known space objects (generally not less than 1000 observation arcs, which must also contain space objects that have undergone pulse orbit maneuvers), follow the first four steps (step 201-step 204) ) to process and finally obtain multiple maneuver characteristic parameters.

步骤2052、根据对应空间目标的实际机动情况为每条机动特征参数打上机动标签,若轨道机动发生在机动特征参数计算时所对应第二组轨道根数的两观测弧段之间的时间区间内,则认为该条机动特征参数为有机动的机动特征参数,机动标签设为1;否则认为该条机动特征参数为无机动的机动特征参数,机动标签设为0。Step 2052, according to the actual maneuvering situation of the corresponding space object, put a maneuvering label on each maneuvering characteristic parameter, if the orbital maneuvering occurs in the time interval between two observation arcs corresponding to the second group of orbital elements when calculating the maneuvering characteristic parameter , then the maneuver characteristic parameter is considered to be a maneuver characteristic parameter with maneuver, and the maneuver label is set to 1; otherwise, the maneuver characteristic parameter is considered to be a maneuver characteristic parameter without maneuver, and the maneuver label is set to 0.

需要注意的是,若某空间目标脉冲机动的施加时刻位于该空间目标的第一与第二观测弧段之间的时间区间或倒数第一与第二观测弧段之间的时间区间或观测弧段数不足6个的,由于这样的空间目标所形成的机动特征参数难以为神经网络的训练提供有效的学习样本,则这样的空间目标观测数据应当予以舍弃。It should be noted that if the moment of applying the pulse maneuver of a certain space object is located in the time interval between the first and second observation arc of the space object or the time interval or observation arc between the penultimate first and second observation arc If the number of segments is less than 6, the observation data of such space objects should be discarded because the maneuvering characteristic parameters formed by such space objects are difficult to provide effective learning samples for the training of the neural network.

步骤2053、对得到的大量机动特征参数按比例进行随机划分,得到神经网络训练所需的训练集T和测试集D,可以采用留出法或者交叉验证法等划分方法进行划分。Step 2053: Randomly divide the large number of obtained maneuvering feature parameters in proportion to obtain the training set T and test set D required for neural network training, which can be divided by using a division method such as the hold-out method or the cross-validation method.

步骤2054、进行神经网络的训练,利用步骤2053中生成的训练集T和测试集D采用前馈神经网络模型(FNN,Forward Neural Network)进行有监督式训练;网络模型推荐采用级联前馈神经网络模型(CFNN,Cascade Forward Neural Network),神经网络的训练目标为能够根据输入的机动特征参数,输出每条机动特征参数所对应的机动标签(0或1),即机动特征参数计算时所对应第二组轨道根数的两观测弧段之间的时间区间内是否施加了脉冲机动。Step 2054, conduct neural network training, use the training set T and test set D generated in step 2053 to conduct supervised training with a feedforward neural network model (FNN, Forward Neural Network); the network model recommends using cascaded feedforward neural networks Network model (CFNN, Cascade Forward Neural Network), the training goal of the neural network is to be able to output the maneuver label (0 or 1) corresponding to each maneuver characteristic parameter according to the input maneuver characteristic parameters, that is, the corresponding maneuver characteristic parameter calculation. Whether impulsive maneuvering is applied in the time interval between two observation arcs of the second group of orbital elements.

在Matlab自带的神经网络工具箱(Neural Network Tool)中有多种可供直接调用的前馈神经网络模型,有关级联前馈神经网络模型的详细信息,可阅读以下文献:De JesusO, Hagan M T. Backpropagation Algorithms for a Broad Class of DynamicNetworks[J]. IEEE Transactions on Neural Networks, 2007, 18(1):14-27。There are a variety of feed-forward neural network models that can be directly called in the Neural Network Tool that comes with Matlab. For detailed information about the cascaded feed-forward neural network model, you can read the following literature: De JesusO, Hagan M T. Backpropagation Algorithms for a Broad Class of Dynamic Networks[J]. IEEE Transactions on Neural Networks, 2007, 18(1):14-27.

步骤206,通过短弧天基光学观测,获得当前观测弧段;根据当前观测弧段和所述标签模型,得到当前观测弧段的当前机动标签。In step 206, the current observation arc is obtained through short-arc space-based optical observation; and the current maneuvering tag of the current observation arc is obtained according to the current observation arc and the tag model.

具体的:specific:

通过短弧天基光学观测,获得当前观测弧段;对所述当前观测弧段采用二次多项式进行拟合与筛选,并确定时间上相邻的当前观测弧段的初始轨道,对属于相同空间目标且时间上相邻的当前观测弧段进行轨道改进,并得到当前机动特征参数;将当前机动特征参数输入所述标签模型,得到当前观测弧段的当前机动标签。Through short-arc space-based optical observations, the current observation arc is obtained; the current observation arc is fitted and screened by a quadratic polynomial, and the initial orbit of the current observation arc adjacent in time is determined. The orbit of the target and temporally adjacent current observation arc is improved, and the current maneuver characteristic parameters are obtained; the current maneuver characteristic parameters are input into the label model, and the current maneuver label of the current observation arc is obtained.

更具体的:more specific:

将真实观测数据经过步骤201至204处理后所得到的待进行机动检测的真实机动特征参数输入经步骤205训练好的神经网络中,对于每条输入的真实机动特征参数,已训练好的神经网络都会输出与之对应的机动标签,将每条输入的机动特征参数与相应输出的机动标签一一进行对应并记录保存。Input the real maneuvering feature parameters to be detected for maneuvering obtained after the real observation data are processed in steps 201 to 204 into the neural network trained in step 205, for each input real maneuvering feature parameter, the trained neural network The corresponding maneuvering labels will be output, and each input maneuvering feature parameter will be corresponded with the corresponding output maneuvering labels one by one and recorded and saved.

步骤207,根据当前机动标签,将属于相同空间目标的当前观测弧段划分为机动前观测弧段和机动后观测弧段;根据机动前观测弧段和机动后观测弧段,估算机动参数并完成轨道机动智能检测。Step 207, according to the current maneuver label, divide the current observation arc segment belonging to the same space object into pre-maneuvering observation arc segment and post-maneuvering observation arc segment; according to the pre-maneuvering observation arc segment and post-maneuvering observation arc segment, estimate maneuver parameters and complete Track maneuver intelligent detection.

具体的:specific:

对属于相同空间目标的当前机动特征参数按其首个观测弧段首个数据点的观测时刻进行排序,并检测当前机动特征参数的当前机动标签;若当前机动标签全部为0,则所述空间目标在整个观测时间区间内没有进行脉冲轨道机动;若存在为1的当前机动标签,则以所述当前机动标签对应的当前机动特征参数计算时的轨道根数的两个观测弧段为分界点,将所述空间目标所属的观测弧段划分为机动前观测弧段和机动后观测弧段,并将机动前观测弧段和机动后观测弧段之间的时间区间定义为预估脉冲机动施加的时间区间。Sort the current maneuvering characteristic parameters belonging to the same space target according to the observation time of the first data point of the first observation arc, and detect the current maneuvering label of the current maneuvering characteristic parameter; if the current maneuvering label is all 0, the space The target does not perform pulse orbit maneuvers during the entire observation time interval; if there is a current maneuver tag with a value of 1, the two observation arcs of the orbital elements corresponding to the current maneuver tag when calculating the current maneuver characteristic parameters are used as the dividing point , the observation arc to which the space target belongs is divided into the observation arc before the maneuver and the observation arc after the maneuver, and the time interval between the observation arc before the maneuver and the observation arc after the maneuver is defined as the estimated pulse maneuver application time interval.

根据机动前观测弧段和机动后观测弧段,进行最小二乘轨道迭代改进,得到机动前轨道改进结果与机动后轨道改进结果;对机动前轨道改进结果与机动后轨道改进结果在预估脉冲机动施加的时间区间内通过轨道交叉预报进行遍历,得到脉冲机动施加的极大似然时刻;根据所述极大似然时刻,估算脉冲机动大小和脉冲机动施加方向,完成轨道机动智能检测。According to the observation arc before the maneuver and the observation arc after the maneuver, the least squares orbit improvement is carried out iteratively, and the orbit improvement results before the maneuver and the orbit improvement results after the maneuver are obtained; the orbit improvement results before the maneuver and the orbit improvement results after the maneuver are estimated The time interval of maneuver application is traversed through the track crossing forecast to obtain the maximum likelihood moment of impulse maneuver application; according to the maximum likelihood moment, the magnitude of impulse maneuver and the direction of impulse maneuver application are estimated to complete the intelligent detection of orbit maneuver.

更具体的:more specific:

步骤2071、对属于同一空间目标的真实机动特征参数按其首个观测弧段首个数据点的观测时刻进行排序,然后依次对各机动特征参数的机动标签进行检测,若机动标签全部为0,则可以认为该目标在整个观测时间区间内没有进行脉冲轨道机动;若存在为1的机动标签,则以该条机动特征参数计算时所对应第二组轨道根数的两观测弧段为分界点,即根据真实机动特征参数的机动标签将该空间目标所属的观测弧段划分为机动前观测弧段与机动后观测弧段,并将这两个观测弧段之间的时间区间定义为预估脉冲机动施加时间区间。Step 2071, sort the real maneuvering characteristic parameters belonging to the same space target according to the observation time of the first data point of the first observation arc, and then sequentially detect the maneuvering labels of each maneuvering characteristic parameter, if the maneuvering labels are all 0, Then it can be considered that the target has not performed pulse orbital maneuvers in the entire observation time interval; if there is a maneuvering label of 1, the two observation arcs corresponding to the second group of orbital elements in the calculation of the maneuvering characteristic parameters are used as the dividing point , that is, according to the maneuver label of the real maneuver characteristic parameter, the observation arc segment to which the space object belongs is divided into the observation arc segment before the maneuver and the observation arc segment after the maneuver, and the time interval between these two observation arc segments is defined as the estimated Pulse maneuver application time interval.

例如,若某空间目标A在观测时间区间内存在8个观测弧段,经步骤201至步骤204计算后得到5条机动特征参数,检测到其中第三条机动特征参数对应的机动标签为1,而第三条机动特征参数计算时所对应第二组轨道根数是由第三和第四观测弧段轨道改进得到,因此以第三和第四观测弧段为分界点,将第一至第三弧段划分为机动前观测弧段,将第四至第八弧段划分为机动后观测弧段,第三和第四观测弧段之间的时间区间则为预估脉冲机动施加时间区间。For example, if a space object A has 8 observation arcs in the observation time interval, 5 maneuver characteristic parameters are obtained after calculation from step 201 to step 204, and it is detected that the maneuver label corresponding to the third maneuver characteristic parameter is 1, The second set of orbit elements corresponding to the calculation of the third maneuver characteristic parameter is obtained by improving the orbits of the third and fourth observation arcs, so the third and fourth observation arcs are taken as the dividing point, and the The three arcs are divided into observation arcs before maneuvering, the fourth to eighth arcs are divided into observation arcs after maneuvering, and the time interval between the third and fourth observation arcs is the estimated pulse maneuver application time interval.

步骤2072、联合同一空间目标机动前所有观测弧段与机动后所有观测弧段进行最小二乘轨道迭代改进,因此对于某个被认为可能存在脉冲轨道机动的空间目标,会计算得到机动前与机动后两条轨道改进结果,设得到的轨道改进结果为

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,其中
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为可能存在脉冲轨道机动的空间目标数量,
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表示机动前,
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表示机动后,
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的定义与步骤2022中的定义相同;关于最小二乘轨道迭代改进算法的相关信息详见步骤2031。Step 2072: Combine all observation arcs before maneuvering and all observation arcs after maneuvering of the same space object to perform least squares iterative orbit improvement. Therefore, for a space target that is considered to have impulsive orbital maneuvering, the pre-maneuvering and maneuvering The improvement results of the last two orbits, and the obtained orbit improvement results are as follows:
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,
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,
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,in
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is the number of space targets that may have impulsive orbital maneuvers,
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Indicates before maneuvering,
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Indicates that after maneuvering,
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,
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,
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and
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The definition of is the same as that in step 2022; for the relevant information about the iterative improvement algorithm of the least squares trajectory, see step 2031.

步骤2073、对步骤2072中计算得到的机动前轨道改进结果与机动后轨道改进结果在预估脉冲机动施加时间区间内通过轨道交叉预报进行遍历,以找出脉冲机动施加的极大似然时刻

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,其中
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为可能存在脉冲轨道机动的空间目标数量,预估脉冲机动施加时间区间的定义与步骤2071中定义一致。轨道交叉预报具体是指将两个空间目标轨道分别进行向前和向后轨道预报以预报同一历元时刻的操作。此处脉冲机动施加的极大似然时刻
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定义为使得机动前轨道与机动后轨道在三维空间中位置距离最小的时刻。此定义可以进行改进与拓展,如若机动前轨道与机动后轨道的轨道偏差信息已知,脉冲机动施加的极大似然时刻
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还可定义为使得机动前轨道与机动后轨道马氏距离最小的时刻。Step 2073: Traversing the trajectory improvement results before maneuvering and post-maneuvering trajectory calculated in step 2072 through orbit crossing prediction within the estimated pulse maneuver application time interval, to find the maximum likelihood moment of pulse maneuver application
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,in
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For the number of space targets that may have impulsive orbital maneuvers, the definition of the estimated time interval for applying impulsive maneuvers is consistent with the definition in step 2071 . Orbit crossing prediction specifically refers to the operation of predicting the orbits of two space objects forward and backward respectively to predict the same epoch time. Here the maximum likelihood moment of impulsive maneuvering is applied
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It is defined as the moment when the positional distance between the trajectory before the maneuver and the trajectory after the maneuver is the smallest in three-dimensional space. This definition can be improved and expanded. If the orbit deviation information of the orbit before the maneuver and the orbit after the maneuver is known, the maximum likelihood moment imposed by the impulsive maneuver
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It can also be defined as the moment when the Mahalanobis distance between the orbit before the maneuver and the orbit after the maneuver is the smallest.

步骤2074、将机动前轨道改进结果与机动后轨道改进结果分别预报至脉冲机动施加的极大似然时刻,通过以对机动前轨道改进结果与机动后轨道改进结果的对比分析来进行对脉冲机动大小,脉冲机动施加方向等其他机动参数的估算,即:将机动前轨道改进结果与机动后轨道改进结果分别进行向后轨道预报和向前轨道预报,预报至步骤2073中得到的脉冲机动施加的极大似然时刻

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。Step 2074: Predict the trajectory improvement results before the maneuver and the trajectory improvement results after the maneuver respectively to the maximum likelihood moment of the impulsive maneuver, and conduct the impulsive maneuver by comparing and analyzing the trajectory improvement results before the maneuver and the trajectory improvement results after the maneuver The estimation of other maneuvering parameters such as size, direction of pulse maneuvering application, that is: the trajectory improvement results before maneuvering and the orbital improvement results after maneuvering are respectively carried out backward trajectory prediction and forward trajectory prediction, and the prediction is obtained in step 2073. maximum likelihood moment
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.

设此时机动前与机动后的轨道预报结果分别为:

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,施加的脉冲机动冲量可以通过下式进行估算:Assume that the orbit forecast results before maneuvering and after maneuvering are respectively:
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and
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, the applied pulse motor impulse can be estimated by the following formula:

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(11)
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(11)

其中

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表示脉冲机动冲量的估计值。in
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Indicates the estimated value of the impulse motor momentum.

步骤2075、在实际观测中,可能由于某些原因造成的观测误差等扰动因素影响,可能会少部分误检,因此为了提高轨道机动的检测正确率,还需要根据脉冲机动冲量估计值的大小对检测结果进行筛选。根据实际经验一般当

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时,该检测结果有很大概率是误检,应当认为该次脉冲机动不存在。Step 2075. In actual observation, due to disturbance factors such as observation errors caused by certain reasons, a small number of false detections may occur. Therefore, in order to improve the detection accuracy of orbital maneuvers, it is also necessary to correct Filter the test results. According to practical experience, when
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, the detection result has a high probability of false detection, and it should be considered that the impulse maneuver does not exist.

上述基于短弧天基光学观测的轨道机动智能检测方法,获取多组属于不同空间目标的历史观测弧段,采用二次多项式对历史观测弧段进行拟合与筛选,对属于相同空间目标的观测弧段按照时间顺序排列,确定时间上相邻的观测弧段的初始轨道,以初始轨道作为初值进行最小二乘迭代,对属于相同空间目标且时间上相邻的观测弧段进行轨道改进,得到轨道改进结果,将轨道改进结果转换为轨道根数,分别计算所述轨道根数与前一轨道根数以及后一轨道根数在半长轴、偏心率和轨道倾角的变化量,得到机动特征参数;为每条机动特征参数打上机动标签,并根据机动特征参数和机动标签,对神经网络进行训练,建立标签模型;通过短弧天基光学观测,获得当前观测弧段;根据当前观测弧段和标签模型,得到当前观测弧段的当前机动标签;根据当前机动标签,将属于相同空间目标的当前观测弧段划分为机动前观测弧段和机动后观测弧段;根据机动前观测弧段和机动后观测弧段,估算机动参数并完成轨道机动智能检测。The above-mentioned orbital maneuvering intelligent detection method based on short-arc space-based optical observation obtains multiple sets of historical observation arcs belonging to different space objects, and uses quadratic polynomials to fit and filter the historical observation arcs. The arcs are arranged in chronological order, and the initial orbits of the observation arcs adjacent in time are determined, and the least squares iteration is performed with the initial orbit as the initial value, and the orbits of the observation arcs that belong to the same space target and are adjacent in time are improved. Obtain the orbit improvement result, convert the orbit improvement result into the orbit element, calculate the variation of the orbit element, the previous orbit element and the latter orbit element in the semi-major axis, eccentricity and orbit inclination, and obtain the maneuvering Characteristic parameters; mark each maneuvering characteristic parameter with a maneuvering label, and train the neural network according to the maneuvering characteristic parameter and maneuvering label, and establish a label model; obtain the current observation arc segment through short-arc space-based optical observation; according to the current observation arc segment and label model to obtain the current maneuvering label of the current observation arc; according to the current maneuvering label, the current observation arc belonging to the same space object is divided into the pre-maneuvering observation arc and the post-maneuvering observation arc; according to the pre-maneuvering observation arc And observe the arc section after maneuvering, estimate maneuvering parameters and complete orbital maneuvering intelligent detection.

本申请适用于天基光学短弧观测条件下的空间目标脉冲轨道机动检测,通过构造机动特征参数所训练好的神经网络能够检测出机动发生在哪两次观测弧段之间,从而将所获得的观测弧段区分为机动前观测弧段与机动后观测弧段,分别对机动前观测弧段与机动后观测弧段进行精密轨道确定时由于排除了脉冲机动的干扰,因此能够确保定轨收敛从而定轨成功实现机动检测,解决了现有技术中脉冲机动情况下不加区分地直接对所获得的观测数据弧段进行精密轨道确定时出现发散而导致难以收敛从而定轨失败的技术问题。本申请中机动特征参数的构造采用计算所述轨道根数与前一轨道根数以及后一轨道根数在半长轴、偏心率和轨道倾角变化量的方式实现,这种构造实现方式使得观测弧段与前后观测弧段因短弧观测所导致的误差在很大程度上进行了相互抵消,从而能够实现短弧观测条件下的机动检测。本申请通过模型设计将空间目标轨道机动前后的半长轴、偏心率、轨道倾角这三个关键轨道根数特征进行提取,并据此创造性地构造了机动特征参数,在表征空间目标运动状态的经典轨道六根数里,半长轴与偏心率对脉冲机动在轨道面内的分量敏感,轨道倾角对脉冲机动垂直于轨道面的分量敏感,因此构造的机动特征参数能够较大限度的保留空间目标脉冲机动的机动特征供神经网络进行学习,从而实现对神经网络的有效训练,使得生成的神经网络能够提取有机动与无机动的机动特征参数之间存在的差别,针对短弧观测条件下的空间目标脉冲轨道机动检测问题具备良好的泛化性能,从而规避了复杂的机动检测阈值设计问题,相比于传统方法提高了脉冲轨道机动检测的计算效率;根据机动估算结果的筛选处理通过降低检测虚警率进一步提高了脉冲轨道机动检测正确率和精度。This application is applicable to space target pulse track maneuver detection under space-based optical short-arc observation conditions. The neural network trained by constructing the maneuver characteristic parameters can detect which two observation arcs the maneuver occurs between, so as to obtain The observation arcs are divided into observation arcs before maneuvering and observation arcs after maneuvering. The precise orbit determination of the observation arcs before maneuvering and the observation arcs after maneuvering can ensure the convergence of orbit determination because the interference of pulse maneuvers is eliminated. As a result, the orbit determination successfully realizes the maneuver detection, and solves the technical problem in the prior art that when the precise orbit determination of the obtained observation data arc is directly carried out indiscriminately in the case of pulse maneuvers, it is difficult to converge and the orbit determination fails due to divergence. The construction of the maneuvering characteristic parameters in this application is realized by calculating the amount of change in the semi-major axis, eccentricity, and orbital inclination of the orbital element, the previous orbital element, and the subsequent orbital element. This construction implementation makes the observation The errors caused by the short-arc observation of the arc section and the front and rear observation arc sections cancel each other out to a large extent, so that the maneuvering detection under the short-arc observation condition can be realized. Through model design, this application extracts the three key orbit element features of the semi-major axis, eccentricity, and orbital inclination before and after maneuvering of the orbit of the space object, and creatively constructs the characteristic parameters of the maneuver based on this, which is used to characterize the state of motion of the space object. The classic orbit is six miles away, the semi-major axis and eccentricity are sensitive to the component of the pulse maneuver within the orbital plane, and the orbital inclination is sensitive to the component of the impulse maneuver perpendicular to the orbital plane, so the constructed maneuvering characteristic parameters can retain space targets to the greatest extent The maneuvering characteristics of pulse maneuvers are used for learning by the neural network, so as to realize the effective training of the neural network, so that the generated neural network can extract the difference between the characteristic parameters of maneuvering and maneuvering without maneuvering. The target impulsive orbit maneuver detection problem has good generalization performance, thereby avoiding the complex maneuver detection threshold design problem, and improving the calculation efficiency of impulsive orbit maneuver detection compared with traditional methods; The alarm rate further improves the accuracy and accuracy of pulse track maneuver detection.

应该理解的是,虽然图2的流程图中的各个步骤按照箭头的指示依次显示,但是这些步骤并不是必然按照箭头指示的顺序依次执行。除非本文中有明确的说明,这些步骤的执行并没有严格的顺序限制,这些步骤可以以其它的顺序执行。而且,图2中的至少一部分步骤可以包括多个子步骤或者多个阶段,这些子步骤或者阶段并不必然是在同一时刻执行完成,而是可以在不同的时刻执行,这些子步骤或者阶段的执行顺序也不必然是依次进行,而是可以与其它步骤或者其它步骤的子步骤或者阶段的至少一部分轮流或者交替地执行。It should be understood that although the various steps in the flow chart of FIG. 2 are displayed sequentially as indicated by the arrows, these steps are not necessarily executed sequentially in the order indicated by the arrows. Unless otherwise specified herein, there is no strict order restriction on the execution of these steps, and these steps can be executed in other orders. Moreover, at least some of the steps in FIG. 2 may include multiple sub-steps or multiple stages. These sub-steps or stages are not necessarily executed at the same time, but may be executed at different times. The execution of these sub-steps or stages The order is not necessarily performed sequentially, but may be performed alternately or alternately with at least a part of other steps or sub-steps or stages of other steps.

在一个具体的实施例中,即在已有大量空间目标天基光学短弧观测数据弧段时,通过神经网络人工智能算法,将属于脉冲轨道机动前后的观测弧段进行识别并对机动参数进行估算。In a specific embodiment, when there are a large number of space-based optical short-arc observation data arcs of space targets, the artificial intelligence algorithm of the neural network is used to identify the observation arcs before and after the maneuvering of the pulse orbit and carry out the maneuver parameters estimate.

具体的:specific:

假设利用运行在轨道高度为800km太阳同步轨道上的某低轨光学观测卫星对50颗运行在GEO轨道上的空间目标进行为期7天的光学观测,角度观测误差为3个角秒,观测起止时间分别为2019.12.21.12:00:00至2019.12.28.12:00:00,其中25颗卫星在观测期间均发生了脉冲轨道机动,观测得到712组分别属于不同空间目标的原始观测短弧片段,也称观测弧段。Assuming that a low-orbit optical observation satellite operating in a sun-synchronous orbit at an orbital height of 800km is used to conduct optical observations of 50 space objects operating in GEO orbits for a period of 7 days, the angular observation error is 3 arc seconds, and the observation start and end time From 2019.12.21.12:00:00 to 2019.12.28.12:00:00, 25 of the satellites had pulsed orbit maneuvers during the observation period, and 712 groups of original observation short-arc segments belonging to different space targets were observed, also known as Observe arcs.

该低轨光学观测卫星在

Figure DEST_PATH_IMAGE253
初始时刻的轨道根数为:
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。The low-orbit optical observation satellite
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The orbital elements at the initial moment are:
Figure 903217DEST_PATH_IMAGE254
.

由于实际空间目标的观测数据难以获取,因此采用仿真观测的方式生成得到神经网络训练所需的训练集T和测试集D。在GEO轨道上随机生成1000个仿真空间目标,假设利用同样运行在轨道高度为800km太阳同步轨道上的低轨光学观测卫星对这1000个运行在GEO轨道上的仿真空间目标进行为期7天的光学观测,观测起止时间与低轨光学观测卫星的轨道根数与步骤201中相同。其中选取50%的仿真目标在仿真观测时段内随机添加一次脉冲轨道机动,脉冲轨道机动的冲量大小在2m/s与5m/s之间随机选取。为了尽可能多的得到有效的学习样本,脉冲轨道机动的施加时刻在2019.12.23.00:00:00至2019.12.27.00:00:00内随机,然后依照前四步(步骤201-步骤204)进行仿真观测并最终得到约6547条机动特征参数。Since the observation data of actual space targets is difficult to obtain, the training set T and test set D required for neural network training are generated by means of simulation observation. Randomly generate 1,000 simulated space objects in GEO orbit, assuming that the low-orbit optical observation satellites that also operate in a sun-synchronous orbit at an orbital height of 800km are used to conduct a 7-day optical observation of these 1,000 simulated space objects operating in GEO orbit. Observation, the observation start and end time and the orbital element of the low-orbit optical observation satellite are the same as in step 201. Among them, 50% of the simulation targets are selected to randomly add a pulse orbital maneuver within the simulation observation period, and the impulse size of the pulsed orbital maneuver is randomly selected between 2m/s and 5m/s. In order to obtain as many effective learning samples as possible, the application time of the pulse orbital maneuver is randomized within 2019.12.23.00:00:00 to 2019.12.27.00:00:00, and then simulate according to the first four steps (step 201-step 204) Observed and finally obtained about 6547 maneuver characteristic parameters.

为每条机动特征参数打上机动标签,若某空间目标脉冲机动的施加时刻位于该空间目标的第一与第二观测弧段之间的时间区间或倒数第一与第二观测弧段之间的时间区间或观测弧段数不足6个的,由于这样的空间目标所形成的机动特征参数难以为神经网络的训练提供有效的学习样本,则这样的空间目标应当予以舍弃,最终剩下6382条有效样本。Put a maneuver label on each maneuver characteristic parameter, if the moment of applying the pulse maneuver of a certain space target is located in the time interval between the first and second observation arc of the space target or the time interval between the penultimate first and the second observation arc If the number of time intervals or observation arcs is less than 6, since the maneuvering characteristic parameters formed by such spatial objects are difficult to provide effective learning samples for the training of neural networks, such spatial objects should be discarded, leaving 6382 valid samples in the end .

对得到的大量机动特征参数进行随机划分,采用留出法将80%的样本数据作为神经网络训练所需的训练集T,将20%的样本数据作为神经网络训练所需的测试集D。A large number of maneuvering characteristic parameters obtained are randomly divided, and 80% of the sample data is used as the training set T required for neural network training by using the set-out method, and 20% of the sample data is used as the test set D required for neural network training.

利用生成的训练集T和测试集D采用前馈神经网络模型(FNN,Forward NeuralNetwork)进行有监督式训练,经测试,当隐含层数量为2,节点数分别为7和8时能达到较佳的训练效果。Using the generated training set T and test set D, the feedforward neural network model (FNN, Forward NeuralNetwork) is used for supervised training. After testing, when the number of hidden layers is 2 and the number of nodes is 7 and 8, it can achieve relatively good results. good training effect.

将真实观测数据经过步骤201至204处理后所得到的待进行机动检测的562条机动特征参数输入经步骤205训练好的神经网络中,对于每条输入的机动特征参数,已训练好的神经网络都会输出与之对应的机动标签,将每条输入的机动特征参数与相应输出的机动标签一一进行对应并记录保存。The 562 pieces of maneuvering characteristic parameters to be detected after the real observation data are processed through steps 201 to 204 are input into the neural network trained in step 205, and for each input maneuvering characteristic parameter, the trained neural network The corresponding maneuvering labels will be output, and each input maneuvering feature parameter will be corresponded with the corresponding output maneuvering labels one by one and recorded and saved.

对属于同一空间目标的机动特征参数按其首个观测弧段首个数据点的观测时刻进行排序,然后依次对各机动特征参数的机动标签进行检测,发现在562条机动特征参数中有29条被神经网络打上1的机动标签,根据机动标签将该空间目标所属的观测弧段划分为机动前观测弧段与机动后观测弧段。The maneuvering characteristic parameters belonging to the same space target are sorted according to the observation time of the first data point of the first observation arc, and then the maneuvering labels of each maneuvering characteristic parameter are detected in turn, and 29 of the 562 maneuvering characteristic parameters are found. The maneuver label marked with 1 by the neural network, according to the maneuver label, the observation arc segment to which the space object belongs is divided into the observation arc segment before the maneuver and the observation arc segment after the maneuver.

其中4个可能存在脉冲机动的空间目标经轨道交叉预报计算后,脉冲机动冲量估计值

Figure DEST_PATH_IMAGE255
,应当认定为无机动目标。Among them, 4 space targets that may have impulsive maneuvers are calculated by track crossing prediction, and the estimated impulse of impulsive maneuvers
Figure DEST_PATH_IMAGE255
, should be identified as a non-maneuvering target.

最终实施例测试结果如下表1所示。The test results of the final embodiment are shown in Table 1 below.

表1实施例测试结果展示表Table 1 embodiment test result display table

Figure 681686DEST_PATH_IMAGE256
Figure 681686DEST_PATH_IMAGE256

本申请还提供了一种基于短弧天基光学观测的轨道机动智能检测装置,如图3所示,在一个实施例中,包括:获取模块301、排列模块302、迭代模块303、计算模块304、建模模块305、标签模块306以及估算模块307,其中:The present application also provides an orbital mobile intelligent detection device based on short-arc space-based optical observation, as shown in Figure 3, in one embodiment, including: an acquisition module 301, an arrangement module 302, an iteration module 303, and a calculation module 304 , modeling module 305, labeling module 306 and estimation module 307, wherein:

获取模块301,用于获取多组属于不同空间目标的历史观测弧段,采用二次多项式对所述历史观测弧段进行拟合与筛选,得到优选弧段;The obtaining module 301 is used to obtain multiple groups of historical observation arcs belonging to different space objects, and uses a quadratic polynomial to fit and screen the historical observation arcs to obtain a preferred arc;

排列模块302,用于根据所述优选弧段,对属于相同空间目标的观测弧段按照时间顺序排列,并确定时间上相邻的观测弧段的初始轨道;The arrangement module 302 is used to arrange the observation arcs belonging to the same space object in chronological order according to the preferred arcs, and determine the initial orbits of the observation arcs adjacent in time;

迭代模块303,用于以所述初始轨道作为初值进行最小二乘迭代,对属于相同空间目标且时间上相邻的观测弧段进行轨道改进,得到轨道改进结果;The iteration module 303 is used to perform least squares iteration with the initial orbit as an initial value, and perform orbit improvement on observation arcs that belong to the same space target and are adjacent in time, and obtain an orbit improvement result;

计算模块304,用于将所述轨道改进结果转换为轨道根数,分别计算所述轨道根数与前一轨道根数以及后一轨道根数在半长轴、偏心率和轨道倾角的变化量,得到机动特征参数;The calculation module 304 is used to convert the orbital improvement result into an orbital element, and calculate the changes in the semi-major axis, eccentricity, and orbital inclination of the orbital element, the previous orbital element, and the subsequent orbital element respectively , to obtain the maneuvering characteristic parameters;

建模模块305,用于为每条机动特征参数打上机动标签,并根据所述机动特征参数和所述机动标签,对神经网络进行训练,建立标签模型;Modeling module 305, is used for marking maneuvering label for each characteristic parameter of maneuvering, and according to described maneuvering characteristic parameter and described maneuvering label, neural network is trained, establishes label model;

标签模块306,用于通过短弧天基光学观测,获得当前观测弧段;根据当前观测弧段和所述标签模型,得到当前观测弧段的当前机动标签;The label module 306 is used to obtain the current observation arc through short-arc space-based optical observation; according to the current observation arc and the label model, obtain the current maneuvering label of the current observation arc;

估算模块307,用于根据当前机动标签,将属于相同空间目标的当前观测弧段划分为机动前观测弧段和机动后观测弧段;根据机动前观测弧段和机动后观测弧段,估算机动参数并完成轨道机动智能检测。The estimation module 307 is used to divide the current observation arcs belonging to the same space object into observation arcs before maneuvering and observation arcs after maneuvering according to the current maneuver label; parameters and complete the intelligent detection of track maneuvering.

关于基于短弧天基光学观测的轨道机动智能检测装置的具体限定可以参见上文中对于基于短弧天基光学观测的轨道机动智能检测方法的限定,在此不再赘述。上述装置中的各个模块可全部或部分通过软件、硬件及其组合来实现。上述各模块可以硬件形式内嵌于或独立于计算机设备中的处理器中,也可以以软件形式存储于计算机设备中的存储器中,以便于处理器调用执行以上各个模块对应的操作。For specific limitations on the orbital maneuvering intelligent detection device based on short-arc space-based optical observations, please refer to the above-mentioned limitations on the orbital maneuvering intelligent detection method based on short-arc space-based optical observations, and will not be repeated here. Each module in the above-mentioned device can be fully or partially realized by software, hardware and a combination thereof. The above-mentioned modules can be embedded in or independent of the processor in the computer device in the form of hardware, and can also be stored in the memory of the computer device in the form of software, so that the processor can invoke and execute the corresponding operations of the above-mentioned modules.

以上实施例的各技术特征可以进行任意的组合,为使描述简洁,未对上述实施例中的各个技术特征所有可能的组合都进行描述,然而,只要这些技术特征的组合不存在矛盾,都应当认为是本说明书记载的范围。The technical features of the above embodiments can be combined arbitrarily. To make the description concise, all possible combinations of the technical features in the above embodiments are not described. However, as long as there is no contradiction in the combination of these technical features, they should be It is considered to be within the range described in this specification.

以上所述实施例仅表达了本申请的几种实施方式,其描述较为具体和详细,但并不能因此而理解为对本申请专利范围的限制。应当指出的是,对于本领域的普通技术人员来说,在不脱离本申请构思的前提下,还可以做出若干变形和改进,这些都属于本申请的保护范围。因此,本申请专利的保护范围应以所附权利要求为准。The above-mentioned embodiments only express several implementation modes of the present application, and the description thereof is relatively specific and detailed, but should not be construed as limiting the patent scope of the present application. It should be noted that those skilled in the art can make several modifications and improvements without departing from the concept of the present application, and these all belong to the protection scope of the present application. Therefore, the scope of protection of the patent application should be based on the appended claims.

Claims (7)

1. The intelligent detection method for the rail maneuvering based on the short arc space-based optical observation is characterized by comprising the following steps:
acquiring a plurality of groups of historical observation arc sections belonging to different space targets, and fitting and screening the historical observation arc sections by using a quadratic polynomial to obtain an optimal arc section; the method specifically comprises the following steps: acquiring a plurality of groups of historical observation arc sections belonging to different space targets, wherein the historical observation arc sections comprise: right ascension and declination; fitting the right ascension and the declination of the historical observation arc section by using a quadratic polynomial to obtain a fitting coefficient of the right ascension and a fitting coefficient of the declination; obtaining the standard deviation of a historical observation arc section according to the fitting coefficient of the right ascension and the fitting coefficient of the declination; screening the historical observation arc sections according to the standard deviation to obtain a preferred arc section;
arranging observation arc sections belonging to the same space target according to the time sequence according to the preferred arc sections, and determining initial tracks of the observation arc sections adjacent in time;
performing least square iteration by taking the initial orbit as an initial value, and performing orbit improvement on the observation arc sections which belong to the same space target and are adjacent in time to obtain an orbit improvement result;
converting the track improvement result into a track number, and respectively calculating the track number, the previous track number and the variation of the next track number in the semimajor axis, the eccentricity and the track inclination angle to obtain a maneuvering characteristic parameter;
marking a maneuvering label for each maneuvering characteristic parameter, training a neural network according to the maneuvering characteristic parameters and the maneuvering labels, and establishing a label model;
obtaining a current observation arc section through short arc space-based optical observation; obtaining a current maneuvering label of the current observation arc section according to the current observation arc section and the label model;
dividing the current observation arc sections belonging to the same space target into a maneuvering front observation arc section and a maneuvering rear observation arc section according to the current maneuvering label; estimating maneuvering parameters and completing intelligent detection of the rail maneuvering according to the maneuvering front observation arc section and the maneuvering rear observation arc section;
according to observation arc section before the maneuver and observation arc section after the maneuver, estimating maneuver parameters and completing the intelligent detection of the track maneuver, specifically: performing least square orbit iteration improvement according to the observation arc section before maneuvering and the observation arc section after maneuvering to obtain an improved result of the orbit before maneuvering and an improved result of the orbit after maneuvering; traversing the track improvement result before maneuvering and the track improvement result after maneuvering within the time interval of the estimated pulse maneuvering application through track cross prediction to obtain the maximum likelihood moment of the pulse maneuvering application; estimating the size and the application direction of the pulse maneuver according to the maximum likelihood moment to finish intelligent detection of the track maneuver;
adopting a quadratic polynomial to fit the right ascension and the declination of the historical observation arc section to obtain a fitting coefficient of the right ascension and a fitting coefficient of the declination, and obtaining a standard deviation of the historical observation arc section according to the fitting coefficient of the right ascension and the fitting coefficient of the declination, wherein the fitting coefficient of the right ascension and the fitting coefficient of the declination are specifically as follows:
and respectively fitting the time-related function expressions of the right ascension and the declination in each historical observation arc segment by adopting a quadratic polynomial, and setting the time-related function expressions of the right ascension alpha and the declination delta as follows:
Figure FDA0004037724170000021
wherein, a 0 ,a 1 ,a 2 As fitting coefficient of the right ascension, b 0 ,b 1 ,b 2 For the declination fitting coefficient, the initial value of each fitting coefficient is taken as:
Figure FDA0004037724170000022
due to alpha (t) to a 0 ,a 1 ,a 2 The partial derivatives of (a) are:
Figure FDA0004037724170000023
therefore, the least square method can be used to obtain the pair a 0 ,a 1 ,a 2 Initial improvement amount delta a 0 ,Δa 1 ,Δa 2 Comprises the following steps:
Figure FDA0004037724170000024
wherein,
Figure FDA0004037724170000025
is n i,j X 3 matrix, B T Is a transposed matrix of B, the upper label of the transposed matrix is-1 to represent the inversion operation of the matrix,
Figure FDA0004037724170000026
is n i,j The vector of the dimensions is then calculated,
Figure FDA0004037724170000027
polynomial prediction for right ascension;
then a will be 0 ,a 1 ,a 2 The updating is as follows:
Figure FDA0004037724170000028
repeating the process of formula (4) and formula (5) up to
Figure FDA0004037724170000031
Is less than the set threshold value to obtain the fitting coefficient a of the right ascension 0 ,a 1 ,a 2
The same operation steps are carried out on the declination delta to obtain the fitting coefficient b of the declination 0 ,b 1 ,b 2
For each observation time, calculating a right ascension declination fitting value at the corresponding time, and combining the real observation value of the right ascension declination at the corresponding time with the fitting difference to obtain a residual epsilon of the right ascension declination, and further obtaining a standard deviation sigma:
Figure FDA0004037724170000032
in the formula, x i Represents the ith residual error, mu is the mean value of the residual errors, and n is the number of data points.
2. The intelligent detection method for track maneuvering based on short arc space-based optical observation according to claim 1, characterized in that the standard deviation of the historical observation arc segment is obtained according to the fitting coefficient of the right ascension and the fitting coefficient of the declination, specifically:
defining an intermediate time of a historical observation arc as
Figure FDA0004037724170000033
Wherein (int) ((1 + n) i,j ) /2) intermediate row number representing corresponding observation arc, whereby for each historical observation arc
Figure FDA0004037724170000034
There is a corresponding intermediate time data point:
Figure FDA0004037724170000035
wherein alpha is the right ascension at the middle time, delta is the declination at the middle time,
Figure FDA0004037724170000036
the rate of change of the right ascension at the intermediate time,
Figure FDA0004037724170000037
the rate of change of declination at the intermediate time,
Figure FDA0004037724170000038
the position vector and the velocity vector of the optical observation satellite corresponding to the intermediate time are respectively calculated as follows:
Figure FDA0004037724170000039
3. the intelligent detection method for the track maneuver based on the short-arc space-based optical observation according to claim 1 or 2, characterized in that a maneuver label is marked on each maneuver characteristic parameter, and a neural network is trained according to the maneuver characteristic parameters and the maneuver labels to establish a label model, specifically:
randomly dividing the maneuvering characteristic parameters in proportion to obtain a training set and a test set of the neural network;
printing a maneuvering label for each maneuvering characteristic parameter;
and carrying out supervised training on the neural network according to the training set, the test set and the maneuvering label to establish a label model.
4. The intelligent detection method for the track maneuver based on the short-arc space-based optical observation according to claim 3, wherein a maneuver label is marked on each maneuver characteristic parameter, specifically:
according to the actual maneuvering situation of the corresponding space target, a maneuvering label is marked on each maneuvering characteristic parameter, if the rail maneuvering occurs in a time interval between two observation arc sections of the number of corresponding rails during the calculation of the maneuvering characteristic parameters, the maneuvering characteristic parameters are maneuvering characteristic parameters, and the maneuvering label is set to be 1; otherwise, the maneuvering characteristic parameter is the maneuvering characteristic parameter without maneuvering, and the maneuvering label is set to be 0.
5. The intelligent detection method for the track motor based on the short arc space-based optical observation is characterized in that a current observation arc section is obtained through the short arc space-based optical observation; obtaining a current maneuvering label of the current observation arc section according to the current observation arc section and the label model, wherein the specific steps are as follows:
obtaining a current observation arc section through short arc space-based optical observation;
fitting and screening the current observation arc section by using a quadratic polynomial, determining an initial orbit of the current observation arc section adjacent in time, improving the orbit of the current observation arc section which belongs to the same space target and is adjacent in time, and obtaining a current maneuvering characteristic parameter;
and inputting the current maneuvering characteristic parameters into the label model to obtain the current maneuvering label of the current observation arc section.
6. The intelligent detection method for track maneuvering based on short arc space-based optical observation according to claim 1 or 2, characterized in that, according to the current maneuvering label, the current observation arc segment belonging to the same space target is divided into a maneuvering front observation arc segment and a maneuvering rear observation arc segment, specifically:
sequencing current maneuvering characteristic parameters belonging to the same space target according to the observation time of a first data point of a first observation arc segment of the current maneuvering characteristic parameters, and detecting a current maneuvering label of the current maneuvering characteristic parameters;
if all the current maneuvering tags are 0, the space target does not carry out pulse orbit maneuvering in the whole observation time interval;
if the current maneuvering label is 1, dividing the observation arc section to which the space target belongs into a maneuvering front observation arc section and a maneuvering rear observation arc section by taking two observation arc sections of the number of tracks when the current maneuvering characteristic parameter corresponding to the current maneuvering label is calculated as a boundary point, and defining a time interval between the maneuvering front observation arc section and the maneuvering rear observation arc section as a time interval applied by the estimated pulse maneuvering.
7. Track maneuver intelligent detection device based on short arc sky base optical observation, its characterized in that includes:
the acquisition module is used for acquiring a plurality of groups of historical observation arc sections belonging to different space targets, and fitting and screening the historical observation arc sections by using a quadratic polynomial to obtain an optimal arc section; the method specifically comprises the following steps: acquiring a plurality of groups of historical observation arc sections belonging to different space targets, wherein the historical observation arc sections comprise: right ascension and declination; fitting the right ascension and the declination of the historical observation arc section by using a quadratic polynomial to obtain a fitting coefficient of the right ascension and a fitting coefficient of the declination; obtaining the standard deviation of a historical observation arc section according to the fitting coefficient of the right ascension and the fitting coefficient of the declination; screening the historical observation arc sections according to the standard deviation to obtain an optimal arc section;
the arrangement module is used for arranging the observation arc sections belonging to the same space target according to the preferred arc sections according to a time sequence and determining the initial tracks of the observation arc sections adjacent in time;
the iteration module is used for performing least square iteration by taking the initial orbit as an initial value, and performing orbit improvement on the observation arc sections which belong to the same space target and are adjacent in time to obtain an orbit improvement result;
the calculation module is used for converting the track improvement result into the number of tracks, and respectively calculating the number of tracks, the number of previous tracks and the variation of the number of next tracks in the semimajor axis, the eccentricity and the track inclination angle to obtain maneuvering characteristic parameters;
the modeling module is used for marking each maneuvering characteristic parameter with a maneuvering label, training the neural network according to the maneuvering characteristic parameter and the maneuvering label, and establishing a label model;
the label module is used for obtaining a current observation arc section through short arc space-based optical observation; obtaining a current maneuvering label of the current observation arc section according to the current observation arc section and the label model;
the estimation module is used for dividing the current observation arc sections belonging to the same space target into a before-maneuvering observation arc section and an after-maneuvering observation arc section according to the current maneuvering label; estimating maneuvering parameters and completing intelligent detection of the rail maneuvering according to the maneuvering front observation arc section and the maneuvering rear observation arc section;
according to observation arc section before the maneuver and observation arc section after the maneuver, estimate the maneuver parameter and accomplish the track maneuver intellectual detection, specifically: performing least square orbit iteration improvement according to the observation arc section before maneuvering and the observation arc section after maneuvering to obtain an improvement result of the orbit before maneuvering and an improvement result of the orbit after maneuvering; traversing the track improvement result before maneuvering and the track improvement result after maneuvering within the time interval of the estimated pulse maneuvering application through track cross prediction to obtain the maximum likelihood moment of the pulse maneuvering application; estimating the magnitude and the application direction of the pulse maneuver according to the maximum likelihood moment to finish the intelligent detection of the track maneuver;
adopt quadratic polynomial to the right ascension and the declination of historical observation segmental arc are fitted, obtain the fitting coefficient of right ascension and the fitting coefficient of declination, according to the fitting coefficient of right ascension and the fitting coefficient of declination, obtain the standard deviation of historical observation segmental arc, specifically do:
and respectively fitting the time-related function expressions of the right ascension and the declination in each historical observation arc segment by adopting a quadratic polynomial, and setting the time-related function expressions of the right ascension alpha and the declination delta as follows:
Figure FDA0004037724170000061
wherein, a 0 ,a 1 ,a 2 Fitting coefficient for the right ascension, b 0 ,b 1 ,b 2 For the declination fitting coefficient, the initial value of each fitting coefficient is taken as:
Figure FDA0004037724170000062
due to alpha (t) to a 0 ,a 1 ,a 2 The partial derivatives of (a) are:
Figure FDA0004037724170000063
therefore, the least square method can be used to obtain the pair a 0 ,a 1 ,a 2 Initial improvement Δ a 0 ,Δa 1 ,Δa 2 Comprises the following steps:
Figure FDA0004037724170000064
wherein,
Figure FDA0004037724170000065
is n i,j X 3 matrix, B T Is a transposed matrix of B, the upper label-1 represents the inversion operation of the matrix,
Figure FDA0004037724170000066
is n i,j The vector of the dimensions is then calculated,
Figure FDA0004037724170000067
is a polynomial forecast of the right ascension;
then a will be 0 ,a 1 ,a 2 The updating is as follows:
Figure FDA0004037724170000071
repeating the process of formula (4) and formula (5) until
Figure FDA0004037724170000072
Is less than the set threshold value to obtain the fitting coefficient a of the right ascension 0 ,a 1 ,a 2
The same operation steps are carried out on the declination delta to obtain declinationFitting coefficient b 0 ,b 1 ,b 2
For each observation time, calculating a right ascension declination fitting value of the corresponding time, and combining the real observation value of the right ascension declination of the corresponding time with the fitting difference to obtain a residual epsilon of the right ascension declination, thereby obtaining a standard deviation sigma:
Figure FDA0004037724170000073
in the formula, x i Represents the ith residual error, mu is the mean value of the residual errors, and n is the number of data points.
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