CN117113645A - Rapid generation system for large-scale space training task scene - Google Patents

Rapid generation system for large-scale space training task scene Download PDF

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CN117113645A
CN117113645A CN202310965571.8A CN202310965571A CN117113645A CN 117113645 A CN117113645 A CN 117113645A CN 202310965571 A CN202310965571 A CN 202310965571A CN 117113645 A CN117113645 A CN 117113645A
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谢文明
覃润楠
彭晓东
黄山
任敬义
李运
董靖如
郑潇
沈旭晨
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Abstract

The invention relates to the field of trial training task scene generation, in particular to a large-scale space trial training task scene rapid generation system. The system of the invention comprises: the system comprises: the system comprises a task training environment generation module, a spacecraft generation module, a task orbit generation module and a training task scene generation module; the task training environment generation module is used for generating a task training environment through space environment data or a calculation mode; the spacecraft generation module is used for constructing shelf type elements and generating different spacecraft based on the combination of the shelf type elements in a man-machine interaction mode; the task track generation module is used for generating a task track in a graphical interactive mode; and the training task scene generation module is used for fusing the task training environment, the spacecraft and the task orbit to form a training task scene. The invention realizes the real and flexible construction of the training task scene in a large-scale space and provides technical support for training and tactical research in training simulation.

Description

一种大尺度空间试训任务场景快速生成系统A rapid generation system for large-scale spatial trial training task scenarios

技术领域Technical field

本发明涉及试训任务场景生成领域,特别涉及一种大尺度空间试训任务场景快速生成系统。The invention relates to the field of trial training task scene generation, and in particular to a large-scale space trial training task scene rapid generation system.

背景技术Background technique

当前,军事训练面临着作战模式新颖独特、作战对象动态变化、作战条件复杂多元等实装训练难题,考虑到和平环境下最具作战真实性的军事行动是演习训练,如果结合演习训练开展作战试验,不仅能满足“实战化”需求,还将大幅降低训练成本确保训练安全的同时不干扰实装系统。Currently, military training is faced with practical training difficulties such as novel and unique combat modes, dynamic changes in combat objects, and complex and diverse combat conditions. Considering that the most realistic military operation in a peaceful environment is exercise training, if combat trials are carried out in combination with exercise training , not only can meet the needs of "actual combat", but will also significantly reduce training costs to ensure training safety without interfering with the actual system.

随着信息化建设在试验训练领域的持续发展,军事训练向实战化深入迈进,体现在试验对象向装备体系拓展、试验环境向复杂环境转变、试验模式向一体化联合转变等。通过模拟仿真构建紧贴实战的试训系统,支撑部队开展岗位操作训练、体系对抗训练等活动,既便于灵活布设训练场景、丰富训练内容,也能有效提高训练效果。With the continuous development of informatization construction in the field of experimental training, military training has moved deeper into actual combat, which is reflected in the expansion of test objects into equipment systems, the transformation of test environments into complex environments, and the transformation of test models into integrated joint efforts. Through simulation, a trial training system close to actual combat is built to support the troops in carrying out post operation training, system confrontation training and other activities. It not only facilitates the flexible layout of training scenarios, enriches training content, but also effectively improves training effects.

试训系统的任务场景构建不仅要符合空间试训手段多样、系统复杂、要素繁多等特点,也需要通过灵活设置训练场景参数,构建不同训练场景内容,满足岗位操作训练、战术战法研究等要求。在试训场景构建过程中,除了快速构建航天器结构和设计任务轨道,更重要的是无时无刻对航天器的轨道设计与控制、设备安全、任务规划等方面有重要影响的空间环境。空间环境如磁场、辐射带、太阳风等对航天器通信、能源、结构、电子设备、载荷性能等均可能有不同程度的影响和毁伤。The task scenario construction of the trial training system must not only comply with the characteristics of space trial training methods such as diverse means, complex systems, and numerous elements, but also need to flexibly set training scenario parameters to construct different training scenario content to meet the requirements of job operation training, tactical tactics research, etc. . During the construction of the trial training scenario, in addition to quickly constructing the spacecraft structure and designing the mission orbit, more importantly, the space environment has an important impact on the spacecraft's orbit design and control, equipment safety, mission planning and other aspects at all times. Space environments such as magnetic fields, radiation belts, solar wind, etc. may have varying degrees of impact and damage on spacecraft communications, energy, structure, electronic equipment, load performance, etc.

目前,试训系统很少考虑空间环境等因素的引入和影响,即使有涉及,也是从前端显示的角度引入某一类环境因素,远远达不到紧贴实际的环境仿真要求。同时,对任务场景如任务轨道、航天器结构的构建都是采用参数化形式通过模板匹配或者用户输入方式进行,这种方式既不直观简便也不能满足快速构建的需求。At present, the trial training system rarely considers the introduction and impact of factors such as the space environment. Even if it is involved, a certain type of environmental factors is introduced from the perspective of front-end display, which is far from meeting the actual environmental simulation requirements. At the same time, the construction of mission scenarios such as mission orbits and spacecraft structures is carried out in a parametric form through template matching or user input. This method is neither intuitive and simple nor can it meet the needs of rapid construction.

综上所述,在面向复杂环境、体系对抗的试训系统中,快速构建大尺度、灵活、真实的试训任务场景是开展训练任务的基础和核心,也是一个巨大的挑战。To sum up, in a trial training system oriented to complex environments and system confrontations, quickly constructing large-scale, flexible, and realistic trial training task scenarios is the foundation and core of training tasks, and it is also a huge challenge.

发明内容Contents of the invention

本发明的目的在于解决围绕在空间试训领域中针对快速生成大尺度真实试训任务场景难的问题。本发明突破了面向试训任务的环境要素快速构建、货架式航天器结构快速设计、基于特征的任务轨道快速设计等关键技术,实现了大尺度空间下真实灵活的试训任务场景构建,为训练仿真下演习演训、战术战法研究提供技术支撑。The purpose of the present invention is to solve the problems surrounding the difficulty of quickly generating large-scale real trial training task scenarios in the field of space trial training. This invention breaks through key technologies such as rapid construction of environmental elements for trial training missions, rapid design of shelf-type spacecraft structures, and rapid design of mission orbits based on characteristics, and realizes the construction of real and flexible trial training mission scenarios in large-scale space, which provides training Provide technical support for exercises and training under simulation and research on tactics and tactics.

本发明的主要目的具体包括:The main purposes of the present invention specifically include:

1、极大的增强航天器结构、轨道设计灵活性,进而拓展训练场景下兵力布设的自由度,有效提高场景构设和训练效率。1. Greatly enhance the flexibility of spacecraft structure and orbit design, thereby expanding the freedom of troop deployment in training scenarios, and effectively improving scenario construction and training efficiency.

2、推动融合空间环境影响的试训体系的发展,使试训系统朝着更加紧贴实际的方向发展。2. Promote the development of the trial training system that integrates the impact of the space environment, so that the trial training system can develop in a direction that is closer to reality.

为达到上述目的,本发明通过下述技术方案实现。In order to achieve the above objects, the present invention is achieved through the following technical solutions.

本发明提出了一种大尺度空间试训任务场景快速生成系统,所述系统包括:The present invention proposes a large-scale space trial training task scene rapid generation system. The system includes:

任务训练环境生成模块,用于通过空间环境数据或计算模式生成任务训练环境;The task training environment generation module is used to generate the task training environment through spatial environment data or computing models;

航天器生成模块,用于构建货架式元素,并基于货架式元素采用人机交互方式组合生成不同航天器;The spacecraft generation module is used to build shelf-type elements, and use human-computer interaction to combine and generate different spacecrafts based on the shelf-type elements;

任务轨道生成模块,用于采用图形化交互式方式生成任务轨道;和A mission trajectory generation module for generating mission trajectories in a graphical and interactive manner; and

试训任务场景生成模块,用于将任务训练环境、航天器和任务轨道融合形成试训任务场景。The trial training mission scenario generation module is used to integrate the mission training environment, spacecraft and mission orbit to form a trial training mission scenario.

作为上述技术方案的改进之一,所述任务训练环境生成模块中,生成任务训练环境包括:生成地球磁场、生成地球辐射带和生成太阳风;其中,地球磁场包括内源场和外源场;As one of the improvements of the above technical solution, in the mission training environment generation module, generating the mission training environment includes: generating the earth's magnetic field, generating the earth's radiation belts and generating the solar wind; wherein the earth's magnetic field includes the internal source field and the external source field;

所述生成地球磁场,包括:采用地球物理学中的国际标准“国际参考地磁场”计算内源场,采用T96磁层磁场模式计算外源场;并采用磁力线对地球磁场进行表征;The generation of the earth's magnetic field includes: using the international standard "International Reference Geomagnetic Field" in geophysics to calculate the internal source field, using the T96 magnetospheric magnetic field model to calculate the external source field; and using magnetic field lines to characterize the earth's magnetic field;

所述生成地球辐射带,包括:采用电子AE8和质子AP8模式计算地球辐射带,并采用最外层融合截面的方式进行,通过对辐射带中给出不同能量的质子、电子在空间的全向积分通量的分布情况进行可视化表示对地球辐射带进行表征;The generation of the earth's radiation belt includes: using the electron AE8 and proton AP8 modes to calculate the earth's radiation belt, and using the outermost fusion cross-section method to calculate the omnidirectional direction of protons and electrons with different energies in the radiation belt in space. Visual representation of the distribution of integrated flux to characterize the Earth's radiation belts;

所述生成太阳风,包括:根据现有观测数据在1AU空间范围内,仿真太阳风的等离子体的密度、温度、速度和磁场在空间的分布情况,其中,密度和温度均只要一个数据项描述;速度和磁场强度均需要由3个坐标轴方向上的分量确定;并通过一个数据项基于颜色表转化为颜色对密度或温度进行表征,采用与地球磁场快速生成方法中磁力线生成方式,通过在太阳风数据中插值生成速度和磁场强度的表征效果。The generation of solar wind includes: simulating the density, temperature, velocity and magnetic field distribution of plasma in the solar wind within a 1AU spatial range based on existing observational data, wherein density and temperature are described by only one data item; velocity and magnetic field strength need to be determined by the components in the three coordinate axis directions; and a data item is converted into color based on the color table to characterize the density or temperature, using the magnetic field line generation method in the earth's magnetic field rapid generation method, through the solar wind data Medium interpolation generates characterization effects on velocity and magnetic field strength.

作为上述技术方案的改进之一,所述内源场的北向分量X、东向分量Y和垂直向下的分量Z的计算式分别为:As one of the improvements to the above technical solution, the calculation formulas of the northward component X, eastward component Y and vertical downward component Z of the internal source field are respectively:

其中,(r,θ,λ)是地心坐标,r是地心距,θ是地理余纬;λ是地理经度,a是地球半径,和/>是t时刻一定阶数N的高斯系数,/>是n阶m次施密特拟规格化Legendre函数;Among them, (r, θ, λ) is the geocentric coordinate, r is the geocentric distance, θ is the geographical colatitude; λ is the geographical longitude, a is the radius of the earth, and/> is the Gaussian coefficient of a certain order N at time t,/> is the m-order Schmidt quasi-normalized Legendre function of order n;

所述T96磁层磁场模式为利用太阳风压力、DST指数、行星际磁场以及地磁倾角来计算空间某点的外部磁场;The T96 magnetospheric magnetic field model uses solar wind pressure, DST index, interplanetary magnetic field and geomagnetic inclination to calculate the external magnetic field at a certain point in space;

所述采用磁力线对地球磁场进行表征,具体包括:确定磁力线的初始位置点P1,依据该点的磁场强度,在其磁场方向上以小步长T前进至P2,在P2点重复上述过程,直至到达数据场的边界或其它终止条件;其中任意点P的磁场强度依据其所处位置采用国际参考地磁场或T96磁层磁场模式计算得到;The use of magnetic field lines to characterize the earth's magnetic field specifically includes: determining the initial position point P1 of the magnetic field lines, advancing to P2 with a small step size T in the direction of the magnetic field according to the magnetic field strength at this point, and repeating the above process at point P2 until Reach the boundary or other termination conditions of the data field; the magnetic field strength of any point P is calculated based on its location using the international reference geomagnetic field or the T96 magnetospheric magnetic field model;

仿真太阳风的等离子体的密度、温度、速度和磁场在空间的分布情况时,在极坐标空间对空间太阳风数据进行采样,具体包括:When simulating the density, temperature, velocity and magnetic field distribution of solar wind plasma in space, the space solar wind data is sampled in polar coordinate space, specifically including:

用x轴、y轴和z轴标识太阳黄道坐标系的参考坐标轴,由三元式确定每一个采样点空间位置,r’是采样点到太阳日心的距离,θ’是采样点与日心连线在黄道面内的投影与日心黄道坐标系的x轴的夹角,/>是采样点与日心的连线与日心黄道坐标系z轴的夹角;每一采样点的属性域包含:背景场密度、背景场温度、及某仿真时刻的粒子密度、温度、磁场强度和径向速度;采样时,距日心越近,单位距离上的数据采样频率越高。The reference coordinate axes of the solar ecliptic coordinate system are identified with the x-axis, y-axis and z-axis, as given by The ternary formula determines the spatial position of each sampling point. r' is the distance from the sampling point to the heliocenter of the sun. θ' is the intersection between the projection of the line connecting the sampling point and the heliocenter in the ecliptic plane and the x-axis of the heliocentric ecliptic coordinate system. angle,/> It is the angle between the line connecting the sampling point and the heliocenter and the z-axis of the heliocentric ecliptic coordinate system; the attribute domain of each sampling point includes: background field density, background field temperature, and particle density, temperature, and magnetic field intensity at a certain simulation moment and radial velocity; when sampling, the closer to the heliocenter, the higher the data sampling frequency per unit distance.

作为上述技术方案的改进之一,所述航天器生成模块中,构建货架式元素包括:总结和归纳各航天器平台和载荷的三维特点,提取典型部件的三维结构进行数字化,定义几何模型,建立模型模板和组件并提供相应构建方法和组件库;其中,As one of the improvements to the above technical solution, in the spacecraft generation module, building shelf elements includes: summarizing and summarizing the three-dimensional characteristics of each spacecraft platform and payload, extracting the three-dimensional structure of typical components for digitization, defining geometric models, and establishing Model templates and components and provide corresponding construction methods and component libraries; among them,

定义几何模型时,包括定义几何模型的几何拓扑特征、形状特征、工作特征、材料特征和质量特征;定义工作特征时,至少对部件进行覆盖分析、遮挡分析和通信分析;定义工作特征时,至少对部件进行渲染分析、力学分析和热分析。When defining the geometric model, include defining the geometric topological characteristics, shape characteristics, work characteristics, material characteristics and quality characteristics of the geometric model; when defining the work characteristics, at least perform coverage analysis, occlusion analysis and communication analysis on the components; when defining the work characteristics, at least Perform rendering analysis, mechanical analysis, and thermal analysis on components.

作为上述技术方案的改进之一,所述航天器生成模块中,基于货架式元素采用人机交互方式组合生成不同航天器时,采用从下而上的结构设计模式,先进行组件的三维设计,然后把组件逐级装配起来,完成整个航天器结构的装配,具体包括:As one of the improvements to the above technical solution, in the spacecraft generation module, when different spacecrafts are generated based on human-computer interaction based on shelf-type elements, a bottom-up structural design mode is adopted, and the three-dimensional design of the components is first carried out. The components are then assembled step by step to complete the assembly of the entire spacecraft structure, including:

a)建立空白设计场景;a) Establish a blank design scene;

b)选择航天器平台类型,调整航天器平台各个部分的大小尺寸;b) Select the type of spacecraft platform and adjust the size of each part of the spacecraft platform;

c)选择航天器内部载荷组件,并调整参数,包括大小和重量;c) Select the spacecraft’s internal load components and adjust parameters, including size and weight;

d)安装平台内部载荷并检测,包括碰撞和吸附,同时设置载荷的安装姿态,确定载荷视场大小及指向;d) Install and detect the internal load of the platform, including collision and adsorption, while setting the installation posture of the load and determining the size and direction of the load field of view;

e)安装平台外部载荷,调整特征参数,包括大小、重量和材质,设置探测视场大小及指向,选择转台类型,安装并设置运动方式;e) Install the external load of the platform, adjust the characteristic parameters, including size, weight and material, set the size and direction of the detection field of view, select the turntable type, install and set the movement mode;

f)选择通信天线类型、安装方式以及安装位置;f) Select the communication antenna type, installation method and installation location;

g)选择太阳帆板类型,设置安装位置和展开方式;g) Select the solar panel type, set the installation position and deployment method;

h)完成航天器结构设计。h) Complete the spacecraft structural design.

作为上述技术方案的改进之一,所述任务轨道生成模块包括:空间生成单元、天体生成单元、轨道计算和调整单元,其中,As one of the improvements of the above technical solution, the mission orbit generation module includes: a space generation unit, a celestial body generation unit, an orbit calculation and adjustment unit, wherein,

所述空间生成单元,用于建立三维立体虚拟空间,并建立参考坐标系;The space generation unit is used to establish a three-dimensional virtual space and establish a reference coordinate system;

所述天体生成单元,用于在三维立体虚拟空间中建立太阳系中的天体,包括天体的位置、速度和自转,并对天体进行经纬度划分;The celestial body generation unit is used to establish celestial bodies in the solar system in a three-dimensional virtual space, including the position, speed and rotation of the celestial bodies, and divide the celestial bodies into longitude and latitude;

所述轨道计算和调整单元,用于通过轨道特征点在三维立体虚拟空间建立、调整和生成任务轨道。The orbit calculation and adjustment unit is used to establish, adjust and generate mission orbits in a three-dimensional virtual space through orbit feature points.

作为上述技术方案的改进之一,所述轨道计算和调整单元中,通过轨道特征点在三维立体虚拟空间建立、调整和生成任务轨道,包括:As one of the improvements of the above technical solution, in the orbit calculation and adjustment unit, the mission orbit is established, adjusted and generated in the three-dimensional virtual space through orbit feature points, including:

以在屏幕上直接绘制、从系统后台数据库中点选或参数输入的方式,建立一个缺省的轨道作为操作对象,其中在屏幕上直接绘制建立缺省轨道时,利用轨道特征点与中心天体、虚拟三维空间的相对关系,提取轨道根数计算所需要的输入信息,完成快速轨道根数的计算;Establish a default orbit as the operation object by directly drawing on the screen, clicking from the system background database, or inputting parameters. When drawing directly on the screen to establish the default orbit, the orbit feature points and the central celestial body, The relative relationship in the virtual three-dimensional space extracts the input information required for orbit root number calculation to complete the calculation of fast orbit root number;

在缺省轨道建立后,通过调整轨道上一系列反映当前轨道度量信息的轨道特征点改变轨道的形状和方位,直到轨道可以覆盖用户所需要完成的任务目标完成轨道的调整,生成任务轨道。After the default orbit is established, the shape and orientation of the orbit are changed by adjusting a series of orbit feature points on the orbit that reflect the current orbit metric information until the orbit can cover the mission goals that the user needs to complete. The adjustment of the orbit is completed and the mission orbit is generated.

作为上述技术方案的改进之一,完成快速轨道根数的计算的过程中,当轨道为椭圆轨道时,计算的轨道根数包括:半长轴a、偏心率e、轨道倾角i、近地点辐角ω、升交点赤经Ω和真近点角f,计算式分别为:As one of the improvements to the above technical solution, in the process of completing the calculation of the fast orbit root number, when the orbit is an elliptical orbit, the calculated orbit root number includes: semi-major axis a, eccentricity e, orbit inclination angle i, and perigee argument ω, ascending node right ascension Ω and true periapsis angle f, the calculation formulas are respectively:

其中,ra,rp分别表示目标轨道的远、近地点半径:ra=dB,rp=dAdj表示参考点j到中心点的距离;(xj,yj,zj)表示参考点j的坐标PjAmong them, r a and r p represent the far and perigee radii of the target orbit respectively: r a =d B ,r p =d A ; d j represents the distance from the reference point j to the center point; (x j , y j , z j ) represents the coordinate P j of the reference point j;

式中,||H||表示轨道法向矢量H的模;In the formula, ||H|| represents the module of the orbit normal vector H;

H=(hx hy hz)T=PA×PC=PC×PB=PB×PD=PD×PA,(hx hy hz)表示轨道法线矢量;H=(h x h y h z ) T =P A ×P C =P C ×P B =P B ×P D = PD ×P A , (h x h y h z ) represents the orbit normal vector;

式中,O为坐标中心,Pa(xa,ya,za=0)为升交点,||OPa||表示升交点与坐标中心连线的矢量的模;;In the formula, O is the coordinate center, P a (x a , y a , z a = 0) is the ascending node, ||OP a || represents the module of the vector connecting the ascending node and the coordinate center;;

式中,||·||表示矢量的模;In the formula, ||·|| represents the module of the vector;

真近点角f通过用户拖拽卫星在轨道上的位置来确定。The true periapsis angle f is determined by the user dragging the position of the satellite in orbit.

作为上述技术方案的改进之一,轨道计算和调整单元中,通过轨道特征点在三维立体虚拟空间建立、调整和生成任务轨道,还包括:在完成快速轨道根数计算后,将轨道根数转化到笛卡儿坐标系下的轨道参数,然后利用笛卡尔坐标下的轨道参数进行递推计算,得到更精确的轨道。As one of the improvements to the above technical solution, the orbit calculation and adjustment unit establishes, adjusts and generates mission orbits in a three-dimensional virtual space through orbit feature points. It also includes: after completing the calculation of fast orbit elements, converting the orbit elements into to the orbit parameters in the Cartesian coordinate system, and then use the orbit parameters in the Cartesian coordinate system to perform recursive calculations to obtain a more accurate orbit.

作为上述技术方案的改进之一,所述将轨道根数转化到笛卡儿坐标系下的轨道参数,包括:As one of the improvements to the above technical solution, the transformation of orbital radical numbers into orbital parameters in the Cartesian coordinate system includes:

f)计算当前地心距r:f) Calculate the current geocentric distance r:

g)计算当前卫星的幅角u:g) Calculate the argument u of the current satellite:

u=ω+fu=ω+f

h)计算当前卫星的位置的三分量x,y,z:h) Calculate the three components x, y, z of the current satellite position:

其中,s点为卫星在天球上的投影,r为地心距,i为轨道倾角,u为当前卫星的幅角,Ω为升交点赤经;Among them, point s is the projection of the satellite on the celestial sphere, r is the geocentric distance, i is the orbital inclination, u is the argument of the current satellite, and Ω is the right ascension of the ascending node;

i)计算当前卫星速率v:i) Calculate the current satellite rate v:

其中,μ为地球引力常数;Among them, μ is the gravitational constant of the earth;

j)计算速度的分量j) Calculate the components of velocity

其中,s′点表示卫星速度方向在轨道平面内的指向点,˙表示一次求导;s′和s之间的夹角满足:in, The s′ point represents the pointing point of the satellite velocity direction in the orbital plane, and ˙ represents a derivation; the angle between s′ and s satisfies:

f在第I、II象限时,在第I象限;f在第III、IV象限时,/>在第II象限。When f is in the I and II quadrants, In the I quadrant; when f is in the III and IV quadrants,/> In Quadrant II.

利用笛卡尔坐标下的轨道参数进行递推计算时,递推公式为:When performing recursive calculation using orbital parameters in Cartesian coordinates, the recursive formula is:

式中,x,y,z为卫星坐标,¨表示二次求导;为卫星到地心的距离。In the formula, x, y, z are satellite coordinates, and ¨ represents the quadratic derivation; is the distance from the satellite to the center of the earth.

本发明与现有技术相比优点在于:Compared with the prior art, the advantages of the present invention are:

1、本发明系统实现了面向试训任务的空间环境典型要素快速生成;针对试训任务中空间环境对航天器影响问题,提出了体现环境要素的分布规律、数据内涵和变化特征的典型要素快速生成方法,通过环境要素模式快速计算全空间环境取值,符合试训任务对全时全空间取值而不必无时无刻与客观世界一致的需求,基本满足紧贴实战的要求,具有很高的应用价值;1. The system of the present invention realizes the rapid generation of typical elements of the space environment for trial training missions; in view of the impact of the space environment on the spacecraft during trial training missions, a rapid generation of typical elements that embodies the distribution rules, data connotations and changing characteristics of environmental elements is proposed. The generation method quickly calculates the full-space environment value through the environmental element model, which meets the requirements of the trial training task for full-time full-space value without having to be consistent with the objective world at all times. It basically meets the requirements of close to actual combat and has high application value. ;

2、本发明系统实现了试训场景下兵力结构和轨道的快速生成;针对空间试训任务复杂、场景创建与更改频繁,而组训人员往往非结构或轨道的专业人员,使用专业工具难的问题,提出了航天器结构和轨道的快速生成方法,通过货架式组装或拖拽式特征轨道修改,颠覆了以往空间试训领域常规的设计方式,是一项具有一定原创新的应用研究工作,极大的提高了领域人员的使用效率。2. The system of the present invention realizes the rapid generation of force structures and tracks in trial training scenarios; in view of the complex space trial training tasks, frequent scene creation and changes, and training personnel are often not professionals in structure or track, it is difficult to use professional tools problem, a method for rapid generation of spacecraft structures and orbits is proposed. Through shelf-type assembly or drag-and-drop characteristic orbit modification, it subverts the conventional design methods in the field of space trial training. It is a new applied research work with certain originality. Greatly improve the efficiency of field personnel.

附图说明Description of drawings

图1是大尺度空间试训任务场景快速生成系统中主要阐述涉及的三个关键技术路线图;Figure 1 is a roadmap of three key technologies mainly involved in the rapid generation system of large-scale space trial training task scenarios;

图2是太阳风采样点空间位置示意图;Figure 2 is a schematic diagram of the spatial location of the solar wind sampling point;

图3(a)-图3(c)是几种工作特征的示意图,其中图3(a)是线性扫描视场示意图3(b)是棱锥视场示意图,图3(c)是圆锥视场示意图;Figure 3(a)-Figure 3(c) are schematic diagrams of several working characteristics. Figure 3(a) is a schematic diagram of a linear scanning field of view. Figure 3(b) is a schematic diagram of a pyramid field of view. Figure 3(c) is a schematic diagram of a cone field of view. schematic diagram;

图4是货架式元素组织结构示意图;Figure 4 is a schematic diagram of the organizational structure of shelf elements;

图5是基于组件的航天器组装方法界面示意图;Figure 5 is a schematic interface diagram of the component-based spacecraft assembly method;

图6是平台组件示意图;Figure 6 is a schematic diagram of the platform components;

图7是基于特征点的轨道快速构建图;Figure 7 is a quick construction diagram of an orbit based on feature points;

图8是卫星的球面关系;Figure 8 shows the spherical relationship of the satellite;

图9是天光背景生成效果图;Figure 9 is a rendering of skylight background generation;

图10是太阳系天体生成效果图;Figure 10 is a rendering of solar system celestial bodies;

图11是地球多分辨率生成效果图;Figure 11 is a multi-resolution rendering of the earth;

图12是地球磁场生成效果图;Figure 12 is a rendering of the earth’s magnetic field;

图13是基于辐射带数据的剖面可视化效果图;Figure 13 is a cross-section visualization rendering based on radiation belt data;

图14是太阳风行星际效果图;Figure 14 is an interplanetary rendering of solar wind;

图15是货架式航天器结构快速设计效果图;Figure 15 is a rapid design rendering of the shelf-type spacecraft structure;

图16是基于特征的任务轨道快速设计效果图。Figure 16 is a quick design rendering of a task track based on features.

具体实施方式Detailed ways

下面结合附图和实施例对本发明的技术方案进行详细的说明。The technical solution of the present invention will be described in detail below with reference to the accompanying drawings and examples.

本发明涉及一种试训任务场景生成系统,特别是涉及一种在空间试训领域中针对大尺度空间对抗试训任务下空间环境及航天器等场景的快速生成系统。The invention relates to a trial training mission scene generation system, and in particular to a rapid generation system for space environment, spacecraft and other scenarios under large-scale space confrontation trial training missions in the field of space trial training.

本专利设计了一种针对大尺度空间对抗试训任务下空间环境及航天器等场景的快速生成系统,其技术路线如图1所示。针对大尺度空间试训任务场景快速生成需求,首先通过空间环境数据或计算模式生成任务训练环境,其次基于预先构建的货架式产品采用人机交互方式组合生成不同航天器,再次采用拖拽式调整轨道特征点所见即所得的方式考虑环境因素的影响生成任务轨道,最后通过环境及航天器数据融合形成试训任务场景。当然,对于空间任务场景离不开天体地表的构建,即天光背景、太阳系天体、天体表面环境仿真和构建,其中天光背景构建可以基于伊巴古星表、SAO表等公开星表的数据实现星座、星系、星云等的生成与绘制;太阳系天体仿真可以根据真实星历数据驱动太阳系行星及卫星运动形成太阳系天体运动场景;天体表面环境构建如地表环境,其地形地貌基于多分辨率地理数据采用纹理贴图方式实现,大气效果基于单散射模型来生成与渲染。本专利基于这些基本场景的基础上主要阐述涉及的三个关键技术:面向试训任务的环境要素快速构建技术、货架式航天器结构快速设计技术、基于特征的任务轨道快速设计技术。This patent designs a rapid generation system for space environment and spacecraft scenarios under large-scale space confrontation trial training missions. Its technical route is shown in Figure 1. To meet the demand for rapid generation of large-scale space trial training mission scenarios, firstly, the mission training environment is generated through space environment data or computing models. Secondly, different spacecrafts are generated based on the pre-built shelf products using human-computer interaction method, and then drag-and-drop adjustment is used. The mission trajectory is generated using a WYSIWYG method of orbit feature points taking into account the influence of environmental factors. Finally, a trial training mission scenario is formed through the fusion of environmental and spacecraft data. Of course, space mission scenarios are inseparable from the construction of celestial bodies and surfaces, that is, the simulation and construction of skylight backgrounds, solar system celestial bodies, and celestial body surface environments. The skylight background construction can realize constellations based on data from public star catalogs such as the Ibagu star catalog and the SAO catalog. Generation and drawing of galaxies, nebulae, etc.; solar system celestial body simulation can drive the movement of solar system planets and satellites based on real ephemeris data to form solar system celestial body movement scenes; the surface environment of celestial bodies is constructed such as the earth's surface environment, and its topography and landforms are textured based on multi-resolution geographical data. Implemented through mapping, atmospheric effects are generated and rendered based on a single scattering model. Based on these basic scenarios, this patent mainly elaborates on the three key technologies involved: rapid construction technology of environmental elements for trial training missions, rapid design technology of shelf-type spacecraft structure, and rapid design technology of mission orbit based on characteristics.

1、面向试训任务的环境要素快速构建技术1. Rapid construction technology of environmental elements for trial training tasks

随着我国航天应用的高速发展,航天器所处的“临近/近地/深空”空间内的磁场、辐射场等环境信息对空间任务的运行与安全显得越发重要。空间环境数据涉及近地空间、日地空间乃至行星际空间中的磁场、引力场、太阳风等各类物理场,数据类型包括二维/三维标量、矢量场、图像等多种类型,基准坐标体系复杂且高动态,通过对这些大尺度多维空间环境信息进行快速构建与表达,一方面能将空间环境的空间分布、运动规律和动态特征直观展现在人们面前,被人的视觉直接感知;另一方面通过三维可视化形象的展现空间环境的三维空间,结合空间任务需求分析,能对空间任务的仿真、训练、研究提供辅助支持。With the rapid development of my country's aerospace applications, environmental information such as magnetic fields and radiation fields in the "near/near-Earth/deep space" space where the spacecraft is located has become increasingly important to the operation and safety of space missions. Space environment data involves various physical fields such as magnetic fields, gravitational fields, and solar wind in near-Earth space, solar-Earth space, and even interplanetary space. Data types include two-dimensional/three-dimensional scalars, vector fields, images, etc., and the reference coordinate system Complex and highly dynamic, through the rapid construction and expression of these large-scale multi-dimensional spatial environment information, on the one hand, the spatial distribution, movement rules and dynamic characteristics of the spatial environment can be intuitively displayed in front of people and directly perceived by human vision; on the other hand, On the other hand, through the three-dimensional visualization of the three-dimensional space of the space environment, combined with the analysis of space task requirements, it can provide auxiliary support for the simulation, training, and research of space tasks.

空间环境具有时空尺度跨度大、参考坐标系复杂、环境数据量大且高动态变化、非视觉信息表达难等特点,对其进行实时高精确仿真目前是很不现实的。同时,在试训任务仿真中,不一定需要与客观世界完全一致的空间环境,更重要的是体现每类环境要素的分布规律、数据内涵和变化特点,这样能够促进训练人员对空间环境知识的理解、因素的感知和效应的应用,提高空间环境认知水平和训练效果。这里以地球磁场、辐射带、太阳风等典型空间环境的构建为例来说明快速生成的方法。The spatial environment has the characteristics of large spatio-temporal scale span, complex reference coordinate system, large amount of environmental data with high dynamic changes, and difficulty in expressing non-visual information. It is currently very unrealistic to simulate it in real time and with high accuracy. At the same time, in the simulation of trial training tasks, it is not necessarily necessary to have a spatial environment that is completely consistent with the objective world. What is more important is to reflect the distribution rules, data connotations and changing characteristics of each type of environmental elements. This can promote training personnel's understanding of spatial environment knowledge. Understand, the perception of factors and the application of effects to improve the level of spatial environment cognition and training effects. Here we take the construction of typical space environments such as the Earth's magnetic field, radiation belts, and solar wind as examples to illustrate the rapid generation method.

(1)地球磁场快速生成方法(1) Rapid generation method of the earth’s magnetic field

地磁场由地球内部的磁性岩石以及分布在地球内部和外部的电流体系所产生的各种磁场成分叠加而成,按其起源可以分为内源场和外源场。地磁场是一个矢量场,它是空间位置和时间的函数。The geomagnetic field is composed of various magnetic field components generated by magnetic rocks inside the earth and current systems distributed inside and outside the earth. According to its origin, it can be divided into internal source field and external source field. The geomagnetic field is a vector field that is a function of position in space and time.

在地磁场的快速生成中,内源场采用地球物理学中的国际标准“国际参考地磁场”(IGRF)来计算。它以球谐级数的形式表达,其最高阶通常为10,共120个球谐系数。在近地空间的无源区,起源于地球内部的主磁场可以表示成磁位V的负梯度,而V可以展开成球谐函数的形式:In the rapid generation of the geomagnetic field, the internal source field is calculated using the "International Reference Geomagnetic Field" (IGRF), an international standard in geophysics. It is expressed in the form of a spherical harmonic series, the highest order of which is usually 10, with a total of 120 spherical harmonic coefficients. In the passive region of near-Earth space, the main magnetic field originating from the interior of the earth can be expressed as a negative gradient of the magnetic potential V, and V can be expanded into the form of a spherical harmonic function:

其中γ、θ、λ是地心坐标(γ是地心距;θ是地理余纬,即90-地理纬度;λ是地理经度),α是地球半径,和/>是t时刻的高斯系数,/>是n阶m次施密特拟规格化Legendre函数。国际参考地磁场将5年内主磁场的变化假定为线性变化,通过变更预测系数和/>给出未来5年时间内主磁场的变化。Among them, γ, θ, and λ are the geocentric coordinates (γ is the distance from the center of the earth; θ is the geographical colatitude, that is, 90-geographical latitude; λ is the geographical longitude), α is the radius of the earth, and/> is the Gaussian coefficient at time t,/> It is the Schmitt quasi-normalized Legendre function of order n and m. The international reference geomagnetic field assumes that the change in the main magnetic field within 5 years is a linear change. By changing the prediction coefficient and/> The changes in the main magnetic field in the next 5 years are given.

磁场与磁位势的关系为: The relationship between magnetic field and magnetic potential is:

因此,地磁场的北向分量X、东向分量Y和垂直向下的分量Z分别为Therefore, the northward component X, the eastward component Y and the vertical downward component Z of the geomagnetic field are respectively

只要给出了高斯系数,即可由上述表达式得到任意一点的基本磁场的三个分量。根据大量的探测结果,拟合求出的具有一定阶数N的高斯系数和/>上述磁场的三个分量可有下述公式求出:As long as the Gaussian coefficient is given, the three components of the basic magnetic field at any point can be obtained from the above expression. According to a large number of detection results, the Gaussian coefficient with a certain order N is obtained by fitting. and/> The three components of the above magnetic field can be calculated by the following formula:

利用上述表达式和相应时间的系数可以完全确定地面以上和6个地球半径(Re)以内的磁场空间分布。The spatial distribution of the magnetic field above the ground and within 6 Earth radii (Re) can be completely determined using the above expressions and the corresponding time coefficients.

由于6Re以外的空间,磁层电流系产生的磁场不能忽略,因此外源场的地磁场快速生成采用目前在很多空间物理问题的研究中被广泛使用的T96磁层磁场模式来计算。T96磁层磁场模式是根据多颗卫星在不同磁扰水平条件下取得的36682个磁场矢量观测数据进行分析拟合得到的经验模式,这些观测覆盖了相当大的磁层空间。该磁场模式适用于4~70个地球半径的空间范围。它包含了主磁场和主要磁层电流系产生的磁场,是利用太阳风压力、DST指数、行星际磁场以及地磁倾角来计算空间一点(X,Y,Z)的外部磁场B=(Bx,By,Bz)模型。Bx称为地磁场的北向分量,By地磁场的东向分量,Bz成为地磁场的垂直分量。Since the magnetic field generated by the magnetospheric current system in the space outside 6Re cannot be ignored, the rapid generation of the geomagnetic field from the external source field is calculated using the T96 magnetospheric magnetic field model that is currently widely used in the research of many space physics problems. The T96 magnetospheric magnetic field model is an empirical model obtained by analyzing and fitting 36,682 magnetic field vector observation data obtained by multiple satellites under different magnetic disturbance levels. These observations cover a considerable magnetospheric space. This magnetic field model is suitable for a spatial range of 4 to 70 Earth radii. It includes the main magnetic field and the magnetic field generated by the main magnetospheric current system. It uses solar wind pressure, DST index, interplanetary magnetic field and geomagnetic inclination to calculate the external magnetic field B=(Bx,By,) at a point in space (X, Y, Z). Bz) model. Bx is called the north component of the geomagnetic field, By is the east component of the geomagnetic field, and Bz becomes the vertical component of the geomagnetic field.

磁场通常采用磁力线来表征。磁力线是一条虚拟曲线,其处处与磁感应强度相切,磁感应强度的方向与磁力线方向一致,其大小与磁力线的密度成正比。对于磁场这个三维矢量场,P是其中一点,其位置为r。通过P的磁力线是一条空间曲线,r作为t的函数,有Magnetic fields are usually represented by magnetic field lines. The magnetic field line is a virtual curve that is tangent to the magnetic induction intensity everywhere. The direction of the magnetic induction intensity is consistent with the direction of the magnetic field lines, and its size is proportional to the density of the magnetic field lines. For the three-dimensional vector field of the magnetic field, P is one of the points, and its position is r. The magnetic field line passing through P is a space curve. As a function of t, r has

求解该方程,能构造出一条瞬时的一条场线。Solving this equation can construct an instantaneous field line.

设场线为r(t)≡[x(t),y(t),z(t)]T,是方程的解,则在物理空间场线的积分表达式为:Assuming that the field line is r(t)≡[x(t),y(t),z(t)] T , which is the solution of the equation, then the integral expression of the field line in the physical space is:

上式表明场线是从一个初始位置开始,以小步长t生成,r(0)是初始条件。依此思路,对于地磁磁力线生成的基本原理是:确定磁力线的初始位置P1,依据该点的磁场强度,在其磁场方向上以小步长t前进至P2,在P2点重复上述过程,直至到达数据场的边界或其它终止条件。其中任意点P的磁场强度依据其所处位置采用国际参考地磁场或T96磁层磁场模式计算得到。The above equation shows that the field lines are generated starting from an initial position with a small step size t, and r(0) is the initial condition. According to this idea, the basic principle for the generation of geomagnetic field lines is: determine the initial position P1 of the magnetic field lines, according to the magnetic field strength at that point, advance to P2 in the direction of the magnetic field with a small step size t, and repeat the above process at P2 until it reaches Boundaries or other termination conditions for data fields. The magnetic field strength at any point P is calculated using the international reference geomagnetic field or the T96 magnetospheric magnetic field model based on its location.

(2)地球辐射带快速生成方法(2) Rapid generation method of Earth’s radiation belts

地球辐射带包括内辐射带和外辐射带,其中内辐射带的中心约在1.5Re处、磁纬±40°之间的区域,外辐射带在3-4Re,厚约6000公里,范围可延伸到磁纬50°~60°处的空间范围。在这些区域中充满着大量的高能带电粒子,观测统计表明,磁暴、强亚暴往往会引起在辐射带区域运行的卫星产生严重故障。The Earth's radiation belt includes the inner radiation belt and the outer radiation belt. The center of the inner radiation belt is about 1.5 Re and the area between magnetic latitude ±40°. The outer radiation belt is at 3-4 Re and is about 6000 kilometers thick. The range can be extended. to the spatial range of 50° to 60° magnetic latitude. These areas are filled with a large number of high-energy charged particles. Observation statistics show that magnetic storms and strong substorms often cause serious malfunctions in satellites operating in the radiation belt area.

辐射带粒子主要受地磁场的强烈作用,在地磁场的作用下,辐射带中的带电粒子是在许多称之为“磁壳”的鼓形表面上作周期运动。常用L-B坐标系来描述辐射带粒子的空间分布。B为空间某特定点的磁场强度,以Gauss为单位;L为磁壳参数,对某地特定的磁壳,L是常数。在中心偶极子地磁场近似下,L即为磁壳在赤道面上的距离,它以地球半径Re为量度单位。The particles in the radiation belts are mainly affected by the strong influence of the geomagnetic field. Under the influence of the geomagnetic field, the charged particles in the radiation belts make periodic motion on many drum-shaped surfaces called "magnetic shells". The L-B coordinate system is commonly used to describe the spatial distribution of particles in the radiation belts. B is the magnetic field strength at a specific point in space, in Gauss units; L is the magnetic shell parameter. For a specific magnetic shell in a certain place, L is a constant. Under the central dipole geomagnetic field approximation, L is the distance of the magnetic shell on the equatorial plane, which is measured in the Earth's radius Re.

辐射带快速生成时采用国际上流行的NASA开发的辐射带模式,即电子AE8和质子AP8模式。这种模式是根据卫星数据编制的平均和静态的经验模式,给出了不同能量范围(0.1~400Mev)的电子和质子在空间范围(1.15~6.6L)内的粒子通量,对各粒子的空间位置是通过B-L坐标确定的。The internationally popular radiation belt modes developed by NASA, namely the electron AE8 and proton AP8 modes, are used to rapidly generate radiation belts. This model is an average and static empirical model compiled based on satellite data. It gives the particle flux of electrons and protons in different energy ranges (0.1~400Mev) in the space range (1.15~6.6L). The spatial position is determined by B-L coordinates.

辐射带的表征采用最外层融合截面的方式进行,通过对辐射带中给出不同能量的质子、电子在空间的全向积分通量的分布情况进行可视化表示。具体来说,渲染两个不同沿经度的截面和这两个截面之间的最外层面,面上颜色和透明度由的点的质子或电子通量用颜色表示,每个值对应一种颜色,通过颜色的变化,表现通量大小的变化。The characterization of the radiation belt is carried out by using the outermost fusion section, which visually represents the distribution of the omnidirectional integrated flux in space of protons and electrons with different energies in the radiation belt. Specifically, two sections along different longitudes and the outermost plane between these two sections are rendered. The surface color and transparency are represented by the proton or electron flux of the point in color, with each value corresponding to a color. Through the change of color, the change of flux size is expressed.

(3)太阳风快速生成方法(3) Rapid solar wind generation method

太阳风充满了日球层系统的整个行星际空间,是从位于太阳大气最外层的日冕形成并发射出去的。在日冕上长期存在着一些大尺度黑暗区域,是太阳磁场的开放区域,这里的磁力线向宇宙空间扩散,大量的等离子体顺着磁力线跑出去,形成高速运动的粒子流,当到达地球轨道附近时,速度可达每秒300~400km以上。这种高速运动的等离子体流也就是我们所说的太阳风。目前,对太阳风的变化规律还没有统一的参考模型,因此,太阳风快速生成方法是根据现有观测数据在1AU(日地距离)空间范围内,仿真太阳风的等离子体的密度、温度、速度和磁场在空间的分布情况。其中,密度和温度是标量场,该属性只要一个数据项即能描述;而速度和磁场强度是矢量场,该属性需要由3个坐标轴方向上的分量确定。The solar wind fills the entire interplanetary space of the heliosphere system and is formed and emitted from the corona, the outermost layer of the solar atmosphere. There are long-term large-scale dark areas in the corona, which are open areas of the solar magnetic field. The magnetic field lines here spread into the universe, and a large amount of plasma runs out along the magnetic field lines, forming a high-speed particle flow. When it reaches the vicinity of the Earth's orbit, , the speed can reach more than 300~400km per second. This high-speed plasma flow is what we call the solar wind. At present, there is no unified reference model for the changing laws of the solar wind. Therefore, the rapid generation method of solar wind is to simulate the density, temperature, velocity and magnetic field of the solar wind plasma within the 1AU (Sun-Earth distance) spatial range based on existing observation data. distribution in space. Among them, density and temperature are scalar fields, and this attribute can be described by only one data item; while speed and magnetic field strength are vector fields, and this attribute needs to be determined by components in the three coordinate axis directions.

太阳风数据的空间域是一球形,需要在极坐标空间对空间数据进行采样。如图2所示:x轴、y轴和z轴标识的是太阳黄道坐标系的参考坐标轴,P为空间中的某一采样点,r是采样点P到太阳日心的距离,θ是采样点P与日心连线在黄道面内的投影与日心黄道坐标系的x轴的夹角,是采样点与日心的连线与日心黄道坐标系z轴的夹角,由/>三元式确定每一个采样点P空间位置。每一采样点的属性域包含:背景场密度、背景场温度、及某仿真时刻的粒子密度、温度、磁场强度和径向速度。在以1Au为半径,太阳为中心的空间范围内,每个仿真时刻上,数据的空间分辨率是:154*55*80。鉴于采样点属性值的变化率随与日心距离的增加而减小,对数据采样采取了非均匀采样的方法——距日心越近,单位距离上的数据采样频率越高。在时间分辨率上,仿真数据以0.5小时为时间间隔,记录了连续50小时中,即100个仿真时间点上,太阳风属性数据随时间的变化情况。以太阳风的传播速度,50小时足以让从太阳冕洞中喷发出的高能粒子从太阳传播至地球。The spatial domain of solar wind data is a sphere, and the spatial data needs to be sampled in polar coordinate space. As shown in Figure 2: the x-axis, y-axis and z-axis identify the reference coordinate axes of the solar ecliptic coordinate system, P is a certain sampling point in space, r is the distance from the sampling point P to the heliocentre of the sun, θ is The angle between the projection of the sampling point P and the heliocentric line in the ecliptic plane and the x-axis of the heliocentric ecliptic coordinate system, is the angle between the line connecting the sampling point and the heliocenter and the z-axis of the heliocentric ecliptic coordinate system, given by/> The ternary formula determines the spatial position of each sampling point P. The attribute domain of each sampling point includes: background field density, background field temperature, and particle density, temperature, magnetic field strength and radial velocity at a certain simulation moment. Within the spatial range with 1Au as the radius and the sun as the center, the spatial resolution of the data at each simulation moment is: 154*55*80. In view of the fact that the change rate of the attribute value of the sampling point decreases with the increase of the distance from the heliocentre, a non-uniform sampling method is adopted for data sampling - the closer to the heliocentre, the higher the data sampling frequency per unit distance. In terms of time resolution, the simulation data records the changes in solar wind attribute data over time for 50 consecutive hours, that is, at 100 simulation time points, with a time interval of 0.5 hours. At the speed of solar wind, 50 hours is enough for the high-energy particles ejected from the solar coronal hole to travel from the sun to the earth.

对太阳风数据的表征,密度和温度是标量场,通过一个数据项基于颜色表转化为颜色即能描述;而速度和磁场强度是矢量场,需要由3个坐标轴方向上的分量确定,采用与地球磁场快速生成方法中磁力线生成方式,通过在太阳风数据中插值即可生成太阳风矢量场表征效果。For the characterization of solar wind data, density and temperature are scalar fields, which can be described by converting a data item into a color based on a color table; while velocity and magnetic field strength are vector fields, which need to be determined by components in the three coordinate axis directions, using the The magnetic field line generation method in the earth's magnetic field rapid generation method can generate the solar wind vector field representation effect by interpolating in the solar wind data.

2、货架式航天器结构快速设计技术2. Rapid design technology of shelf-type spacecraft structure

以往的建模技术往往依靠专业人员对三维形状的理解来构建模型,这种方式已不能满足目前试训任务对总体布局快速设计的灵活、便捷的使用需求。因此如何让使用者特别是非结构专业用户能够在短时间内(几分钟)完成三维结构的构建已成为航天器结构快速设计中的重点和难点之一。因此,货架式航天器结构快速设计技术为了达到简化的几何建模目标,通过总结和归纳常见航天器平台和载荷的三维特点,提取典型部件的三维结构进行数字化,建立通用的模型模板和组件,用户通过人机交互选择合适的模板或组件到布局区域,并根据需求拖拽修改部分参数即可完成航天器的快速设计。按照实现流程可分为基础组件构建、结构布局、安装及冲突检测、效果展示等部分,包括货架式元素构建方法和基于货架元素的航天器组装方法。In the past, modeling technology often relied on professionals' understanding of three-dimensional shapes to build models. This method can no longer meet the current trial training tasks' flexible and convenient use requirements for rapid overall layout design. Therefore, how to enable users, especially non-structural professional users, to complete the construction of three-dimensional structures in a short time (a few minutes) has become one of the key points and difficulties in the rapid design of spacecraft structures. Therefore, in order to achieve the goal of simplified geometric modeling, the rapid design technology of shelf-type spacecraft structures summarizes and summarizes the three-dimensional characteristics of common spacecraft platforms and loads, extracts the three-dimensional structures of typical components for digitization, and establishes common model templates and components. Users select appropriate templates or components to the layout area through human-computer interaction, and drag and modify some parameters according to needs to complete the rapid design of the spacecraft. According to the implementation process, it can be divided into basic component construction, structural layout, installation and conflict detection, effect display, etc., including shelf-type element construction methods and spacecraft assembly methods based on shelf elements.

(1)货架式元素构建方法(1) Construction method of shelf elements

货架式元素构建方法通过定义一组能够有效描述设计元素的几何模型,并提供相应构建方法和组件库。通常货架式设计中元素的几何模型信息是定性的,即功能表面间的拓扑、位置、朝向等关系是定性的,同时其几何模型不仅仅是对货架式设计结果的描述,更重要的是要实现对结构和功能的划分,形成原型设计,并使设计能自动传递到后续的交互过程中。在设计中不能仅仅考虑几何特征,还应该考虑工作特征、材料特征等对于后续交互重要的特征元素。因此,货架式元素构建结合以往常见的航天器平台和载荷的三维特点,将一些通用的载荷和航天器平台制作特征模型库,考虑到不能穷举所有模型同时为了适应一些新型模型的构建需求,还加入了一些简单形状模型如球体、圆柱等,支持用户通过交互式方式能够快速生成抽象的载荷、零件特征模型和航天器。The shelf element construction method defines a set of geometric models that can effectively describe design elements and provides corresponding construction methods and component libraries. Usually the geometric model information of elements in shelf design is qualitative, that is, the topology, position, orientation and other relationships between functional surfaces are qualitative. At the same time, its geometric model is not only a description of the shelf design results, but more importantly Realize the division of structure and function, form a prototype design, and enable the design to be automatically transferred to the subsequent interaction process. In the design, not only geometric features should be considered, but also work characteristics, material characteristics and other characteristic elements that are important for subsequent interactions should be considered. Therefore, the shelf-type element construction combines the three-dimensional characteristics of common spacecraft platforms and payloads in the past, and creates a feature model library for some common payloads and spacecraft platforms. Considering that all models cannot be exhausted and in order to adapt to the construction needs of some new models, Some simple shape models such as spheres, cylinders, etc. have also been added, allowing users to quickly generate abstract loads, part feature models and spacecraft through interactive methods.

货架式元素构建的结果能用于试训任务场景的辅助分析、仿真分析等,因此所设计的各几何模型除了包括几何拓扑特征,还应包括材料特征等多种属性。因而需要对航天器结构部件的特征做详细分析,总结归纳当前试训领域下的定义和分类,初步可分为形状特征、工作特征(覆盖分析、遮挡分析、通信分析)、材料特征(渲染、力学分析、热分析)等。The results of the construction of shelf elements can be used for auxiliary analysis, simulation analysis, etc. of trial training task scenarios. Therefore, in addition to geometric topological features, each designed geometric model should also include multiple attributes such as material features. Therefore, it is necessary to conduct a detailed analysis of the characteristics of spacecraft structural components, and summarize the definitions and classifications in the current field of trial training. They can be initially divided into shape characteristics, working characteristics (coverage analysis, occlusion analysis, communication analysis), and material characteristics (rendering, Mechanical analysis, thermal analysis), etc.

a)形状特征a) Shape characteristics

考虑到试训任务和航天器载荷的多样性,各个载荷、组件的形状、结构、功能、装配要求均存在较大的差异,而且还会遇到以前从未设计过的新型载荷。在航天器快速设计中,载荷的表达应该尽可能的通用化、简单化、一般化,具有较高的抽象层次。这样可以忽略试训任务中不需要关注的细节,而让试训人员将注意力集中到最为重要、大体的共性问题上,快速配置出试训任务。Considering the diversity of trial training missions and spacecraft loads, the shapes, structures, functions, and assembly requirements of each load and component are greatly different, and new loads that have never been designed before will also be encountered. In the rapid design of spacecraft, the expression of loads should be as general, simple and general as possible, with a high level of abstraction. In this way, the details that do not require attention in the trial training tasks can be ignored, and the trial training personnel can focus on the most important and general common issues, and quickly configure the trial training tasks.

对于已经在以往的任务中长期使用,功能和外形已经比较固定的航天器载荷和部件,通过预先总结提炼形成的组件特征模型库供使用,并提供编辑功能如三轴缩放、旋转等。特征模型库在存储载荷的形状特征的同时,也存储了载荷的材料特征和工作特征。类似这样的常用载荷和部件有太阳能电池帆板、锂离子电池箱、星敏感器、星务计算机、GPS接收机、喷头、各种发射接收天线等。For spacecraft payloads and components that have been used in previous missions for a long time and whose functions and shapes have been relatively fixed, a component feature model library formed through pre-summarization and refinement is available for use, and editing functions such as three-axis scaling and rotation are provided. The feature model library not only stores the shape characteristics of the load, but also stores the material characteristics and working characteristics of the load. Commonly used loads and components like this include solar cell sail panels, lithium-ion battery boxes, star sensors, star computers, GPS receivers, nozzles, various transmitting and receiving antennas, etc.

对于比较独特、设计新颖的载荷和部件,由于属于首次设计,只能采用简单的几何模型替代,并根据需求输入其它特征。因而货架式元素构建中另一中方式是采用预先定义的一些简单的表达形状来表示卫星载荷,并辅助以颜色、文字、参数等显示。这些简单的表达形状可以是正方体、长方体、圆柱体、圆杆、球体等,如下图所示。可以看出简化模型表示既可以满足新型航天器设计的需要,又可以简化表达,提高建模和设计速度。For relatively unique and innovatively designed loads and components, since they are designed for the first time, they can only be replaced by simple geometric models, and other features can be input as required. Therefore, another way to construct shelf elements is to use some predefined simple expression shapes to represent the satellite payload, and to assist in displaying it with colors, text, parameters, etc. These simple expression shapes can be cubes, cuboids, cylinders, rods, spheres, etc., as shown in the figure below. It can be seen that the simplified model representation can not only meet the needs of new spacecraft design, but also simplify expression and improve modeling and design speed.

另外,为了增加载荷和组件的多样性,货架式元素构建还提供实体造型功能通过交、并、差运算来得到载荷表达。但在实际的航天器结构设计中,为了提高沟通效率,提高设计速度,还是提倡尽可能使用简单、一般化的表达方式。在满足设计表达的基础上,提高设计效率。In addition, in order to increase the diversity of loads and components, the shelf element construction also provides solid modeling functions to obtain load expression through intersection, union, and difference operations. However, in actual spacecraft structural design, in order to improve communication efficiency and increase design speed, it is still advocated to use simple and general expressions as much as possible. Improve design efficiency on the basis of satisfying design expression.

b)工作特征b) Job characteristics

航天器载荷具有特定形状的工作特征,例如光学相机可能以线性扫描方式进行工作,也可能以棱锥视场进行探测,而通信设备的工作范围可能是一个圆锥视场。载荷的工作特征可以定义为:以有效载荷为球心,探测有效距离为半径的锥面所围成的体。几种可能的工作特征如图3(a)-图3(c)所示,其中图3(a)是线性扫描视场示意图3(b)是棱锥视场示意图,图3(c)是圆锥视场示意图:The spacecraft payload has working characteristics of a specific shape. For example, the optical camera may work in a linear scanning manner or may detect in a pyramidal field of view, while the working range of the communication equipment may be a conical field of view. The working characteristics of the load can be defined as: the body surrounded by a cone with the effective load as the center of the sphere and the effective detection distance as the radius. Several possible working characteristics are shown in Figure 3(a)-Figure 3(c), where Figure 3(a) is a schematic diagram of the linear scanning field of view, Figure 3(b) is a schematic diagram of the pyramid field of view, and Figure 3(c) is a cone Field of view diagram:

线性扫描工作特征是指传感器某一瞬间所获取的影像是一条线,线阵列方向与航行方向垂直,一幅影像由若干条影像拼接而成,所以又称为推扫式扫描成像。棱锥工作特征的准线为一四边形,其典型代表是暗物质粒子探测卫星。圆锥工作特征其视锥面的准线为椭圆,例如太阳物理学经常用到的X射线望远镜分光仪和莱曼α日冕仪等。The working characteristic of linear scanning means that the image acquired by the sensor at a certain moment is a line. The direction of the line array is perpendicular to the navigation direction. One image is composed of several images, so it is also called pushbroom scanning imaging. The alignment of the pyramid's working characteristics is a quadrilateral, a typical representative of which is the Dark Matter Particle Detection Satellite. The working characteristic of a cone is that the collimator of the viewing cone is an ellipse, such as the X-ray telescope spectrometer and Lyman alpha coronagraph that are often used in solar physics.

货架式元素构建在定义载荷形状的同时,也会视需求给载荷增加一个工作特征,用以辅助轨道和姿态的设计。另外也可以利用工作特征进行简单的分析,例如可以判断是否存在其它载荷或者组件干扰了光学相机的视场或者天线的通信。The rack-type element construction not only defines the shape of the load, but also adds a working feature to the load as needed to assist in the design of the track and attitude. In addition, working characteristics can also be used for simple analysis, for example, it can be determined whether there are other loads or components that interfere with the field of view of the optical camera or the communication of the antenna.

c)材料、质量等特征c)Material, quality and other characteristics

货架式元素构建还提供参数化的编辑方式输入载荷和组件的材料特征、质量特征等,并与形状特征复合在一起。材料特征可以用于仿真分析或效果展示,并可以导出到文件当中,以实现与其它专业设计软件的连接。而质量特征可以用于整星质量的估算,用以评估设计是否满足质量约束。The construction of shelf elements also provides a parametric editing method to input loads and material characteristics, mass characteristics of components, etc., and combines them with shape characteristics. Material characteristics can be used for simulation analysis or effect display, and can be exported to files to connect with other professional design software. The mass characteristics can be used to estimate the mass of the entire star to evaluate whether the design meets the mass constraints.

通过预先提炼的典型组件模型或设计的简单定义模型构建特征模型库,按照树形结构组织形成的货架式元素组织示意如图4所示。A feature model library is constructed through pre-refined typical component models or simple definition models of designs, and the shelf-type element organization diagram organized according to the tree structure is shown in Figure 4.

(2)基于组件的航天器组装方法(2) Component-based spacecraft assembly method

基于组件的航天器组装方法采用从下而上的结构设计模式,类似于工厂的生产过程,先进行组件的三维设计,然后把组件逐级装配起来,完成整个结构的装配。交互组装界面图5所示,其过程如下所述:The component-based spacecraft assembly method adopts a bottom-up structural design model, which is similar to the production process of a factory. The three-dimensional design of the components is first carried out, and then the components are assembled step by step to complete the assembly of the entire structure. The interactive assembly interface is shown in Figure 5, and the process is as follows:

a)首先建立空白设计场景。a) First establish a blank design scene.

b)从左侧组件栏中选择平台类型,例如杆式结构、板式结构、中心承力筒结构、壳体结构等,调整各个部分的大小尺寸。如图6所示,为一种平台组件示意图;b) Select the platform type from the component column on the left, such as rod structure, plate structure, central load-bearing tube structure, shell structure, etc., and adjust the size of each part. As shown in Figure 6, it is a schematic diagram of a platform component;

c)从左侧组件栏中选择内部载荷组件,并通过交互方式进行大小、重量以及其它参数设置。c) Select the internal load component from the left component column and set the size, weight and other parameters interactively.

d)安装平台内部载荷,进行简单的碰撞检测、吸附,同时设置载荷的安装姿态,确定载荷视场大小及指向。d) Install the load inside the platform, perform simple collision detection and adsorption, and set the installation posture of the load to determine the size and direction of the load field of view.

e)安装平台外部载荷,进行大小、重量、材质等特征参数调整,设置探测视场大小及指向,选择转台类型,安装并设置运动方式。e) Install the external load of the platform, adjust the size, weight, material and other characteristic parameters, set the size and direction of the detection field of view, select the turntable type, install and set the movement mode.

f)选择通信天线类型、安装方式以及安装位置。f) Select the communication antenna type, installation method and installation location.

g)选择太阳帆板类型,设置安装位置和展开方式。g) Select the solar panel type, set the installation position and deployment method.

h)安装其他类型部件。h) Install other types of components.

i)完成结构设计,上传设计结果。以上步骤如果有需要,可重复进行。i) Complete the structural design and upload the design results. The above steps can be repeated if necessary.

3、基于特征的任务轨道快速设计技术3. Feature-based rapid design technology of mission trajectory

传统的轨道设计过程为:首先知道目标,然后根据任务目标对轨道进行设计,完成一次轨道设计后,看是否能够满足目标的要求;如果不满足,进行改进设计,直到满足要求。此过程重复次数较多,设计过程复杂。很难满足在空间试训任务中对轨道设计快速便捷的需求。The traditional orbit design process is: first know the goal, and then design the orbit according to the mission objectives. After completing the orbit design, see whether it can meet the requirements of the goal; if not, improve the design until the requirements are met. This process is repeated many times and the design process is complex. It is difficult to meet the demand for fast and convenient orbit design in space trial training missions.

基于特征的任务轨道快速设计技术依据空间试训任务轨道需求,其设计过程与结果反馈显示的过程都需要具备实时性,即当用户设计完成的同时,轨道数据与轨迹预览也会做相应的变化,这对轨道计算模型的效率及实时性提出了更高的要求。考虑实际任务中轨道设计与计算复杂度不可预估的特点,将轨道计算模型设计为多精度多层次循环递推的工作方式。即在实时响应轨道设计的操作变化时采用拟合或近似轨道数据,当操作变少,设计趋于稳定后,再不断的调用轨道动力学模型进行递归精确计算,直到精度满足设定的误差要求。Feature-based mission orbit rapid design technology is based on space trial mission orbit requirements. The design process and result feedback display process need to be real-time. That is, when the user design is completed, the orbit data and trajectory preview will also change accordingly. , which places higher requirements on the efficiency and real-time performance of the orbit calculation model. Considering the unpredictable characteristics of orbit design and calculation complexity in actual missions, the orbit calculation model is designed as a multi-precision multi-level loop recursion working method. That is, fitting or approximating orbit data is used in real-time response to operational changes in orbit design. When operations become less frequent and the design becomes stable, the orbit dynamics model is continuously called for recursive and accurate calculations until the accuracy meets the set error requirements. .

基于特征的任务轨道快速设计技术是通过用户直接对屏幕上轨道进行操作而实现的,在用户改变屏幕上的轨道后,后台快速给出改变后的轨道参数。与传统的轨道设计相比,这种图形化交互式方式具有直观、方便、高效的特点。图形化交互式轨道设计分以下两个步骤进行。The feature-based task track rapid design technology is realized by the user directly operating the track on the screen. After the user changes the track on the screen, the changed track parameters are quickly given in the background. Compared with traditional track design, this graphical interactive method is intuitive, convenient and efficient. Graphical interactive track design is carried out in the following two steps.

首先,建立三维立体虚拟空间和天体,为轨道提供参考系统,用户对轨道的操作都在此参考空间中进行描述。参考空间采用J2000坐标系作为参考坐标系,系统中预先建立了常规卫星设计中常用的参考坐标系。用户只需要通过点选的方式从系统中获取相应坐标系,同时用户也可以基于特定的方式创建自己的坐标系,系统会维护用户坐标系和常用坐标系统的转化关系。接着在所建立的虚拟空间中建立太阳系中的天体,天体的位置和速度需要由精确天体历表支撑。此外天体的自转也需要精确建立,而且还需要对天体进行经纬度划分。对于天体的星历可以利用DE405或者DE435星历来实现。First, a three-dimensional virtual space and celestial bodies are established to provide a reference system for the orbit. User operations on the orbit are described in this reference space. The reference space uses the J2000 coordinate system as the reference coordinate system, and the reference coordinate system commonly used in conventional satellite design is pre-established in the system. Users only need to click to obtain the corresponding coordinate system from the system. At the same time, users can also create their own coordinate system based on a specific method. The system will maintain the conversion relationship between the user coordinate system and commonly used coordinate systems. Then, the celestial bodies in the solar system are established in the created virtual space. The positions and speeds of the celestial bodies need to be supported by accurate celestial ephemerides. In addition, the rotation of celestial bodies also needs to be accurately established, and the celestial bodies also need to be divided into longitude and latitude. The ephemeris of celestial bodies can be achieved using DE405 or DE435 ephemeris.

其次,通过轨道特征点来快速建立或调整任务轨道。首先需要建立一个缺省的轨道,以便为用户提供操作对象。用户可以通过在屏幕上直接绘制、从后台数据库中点选、参数输入等方式建立缺省轨道。在缺省轨道建立后,反映当前轨道度量信息的轨道特征点会以醒目的方式显示出来,用户对轨道的调整就是通过调整轨道上一系列特征点来完成的。如图所示,用户可以点选其中任何一个特征点然后拖动它们以改变轨道的形状和方位,直到轨道可以覆盖用户所需要完成的任务目标。系统利用轨道特征点与中心天体、虚拟三维空间的相对关系,提取轨道根数计算所需要的输入信息,完成轨道根数的快速计算。当用户改变特征点位置时,其他特征点会相应变化,以使改变中的轨道符合真实轨道特性。在用户完成快速轨道设计后,系统应该将这些可视化的设计结果转化为卫星轨道根数的方式来存储。具体计算过程如下所述。Secondly, quickly establish or adjust the mission trajectory through orbit feature points. First, you need to create a default track to provide users with operating objects. Users can create default tracks by drawing directly on the screen, selecting from the background database, and inputting parameters. After the default track is established, the track feature points reflecting the current track metric information will be displayed in an eye-catching manner. Users can adjust the track by adjusting a series of feature points on the track. As shown in the figure, the user can click on any of the feature points and drag them to change the shape and orientation of the track until the track can cover the task target that the user needs to complete. The system uses the relative relationship between the orbital feature points, the central celestial body and the virtual three-dimensional space to extract the input information required for orbital root number calculation and complete the rapid calculation of orbital root number. When the user changes the position of a feature point, other feature points will change accordingly so that the changing track conforms to the real track characteristics. After the user completes the rapid orbit design, the system should convert these visual design results into satellite orbit elements and store them. The specific calculation process is described below.

如图7所示,为基于特征点的轨道快速构建图;当用户在屏幕上完成一条轨道的绘制后,系统会快速计算出四个参考点的坐标值,此坐标值的参考系为J2000惯性坐标系(如果中心为地球,则为地球J2000坐标系,中心为其它天体,则为相应天体的惯性坐标系)。设四个参考点的坐标分别为As shown in Figure 7, it is a quick construction diagram of an orbit based on feature points; when the user completes the drawing of an orbit on the screen, the system will quickly calculate the coordinate values of the four reference points. The reference system of this coordinate value is J2000 inertia. Coordinate system (if the center is the earth, it is the Earth's J2000 coordinate system, if the center is other celestial bodies, it is the inertial coordinate system of the corresponding celestial body). Let the coordinates of the four reference points be

A-PA=(xA yA zA)AP A =(x A y A z A )

B-PB=(xB yB zB)BP B =(x B y B z B )

C-PC=(xA yA zA)CP C =(x A y A z A )

D-PD=(xA yA zA)DP D =(x A y A z A )

上述坐标点的中心点为J2000惯性坐标系中心。四个参考点到中心点的距离为 The center point of the above coordinate points is the center of the J2000 inertial coordinate system. The distances from the four reference points to the center point are

目标轨道的远、近地点分别为The far and near points of the target orbit are respectively

ra=dB,rp=dA r a =d B ,r p =d A

目标轨道的半长轴为The semi-major axis of the target orbit is

当轨道为圆轨道时,轨道半径等于轨道半长轴,即When the orbit is a circular orbit, the orbit radius is equal to the semi-major axis of the orbit, that is

R=ra=rp R=r a =r p

式中,R为圆轨道半径。In the formula, R is the radius of the circular orbit.

目标轨道的偏心率为The eccentricity of the target orbit is

当轨道为圆轨道时,偏心率为零,即e=0。When the orbit is a circular orbit, the eccentricity is zero, that is, e=0.

目标轨道的轨道倾角计算比较繁琐,首先计算出轨道的法线矢量在惯性坐标系下的值,即The calculation of the orbital inclination angle of the target orbit is relatively cumbersome. First, calculate the value of the normal vector of the orbit in the inertial coordinate system, that is

H=(hx hy hz)T=PA×PC=PC×PB=PB×PD=PD×PA H=(h x h y h z ) T =P A ×P C =P C ×P B =P B ×P D =P D ×P A

利用轨道法向矢量,轨道倾角i可以用下式计算Using the orbit normal vector, the orbit inclination angle i can be calculated with the following formula

式中,||H||表示轨道法向矢量H的模。当轨道为圆轨道时,此公式也可以用来计算轨道的倾角。In the formula, ||H|| represents the module of the orbit normal vector H. This formula can also be used to calculate the inclination of the orbit when the orbit is a circular orbit.

升交点赤经的计算首先需要寻找到轨道面与赤道面的交点。此种交点有两个,分别为升交点和降交点。交点为升、降交点需要由用户指定,即用户希望的轨道运行方向。根据用户的要求,选定升交点,假设为D点。在D点附近寻找Z向方向为零的坐标点,即Pa(xa,ya,za=0)(见图中所示),此点为升交点。升交点与坐标中心连线与惯性坐标系x轴之间的夹角为升交点赤经,其计算过程为To calculate the right ascension of the ascending node, you first need to find the intersection of the orbital plane and the equatorial plane. There are two such intersection points, namely the ascending node and the descending node. The intersection points as ascending and descending intersections need to be specified by the user, that is, the orbit running direction the user wants. According to the user's requirements, the ascending node is selected, assuming it to be point D. Find the coordinate point with zero Z direction near point D, that is, P a (x a , y a , z a = 0) (see the figure). This point is the ascending node. The angle between the line connecting the ascending node and the coordinate center and the x-axis of the inertial coordinate system is the right ascension of the ascending node, and its calculation process is:

式中,||Pa||表示矢量Pa的模。上面的公式也适用于计算圆轨道的升交点赤经。In the formula, ||P a || represents the module of vector P a . The above formula also applies to calculating the right ascension of the ascending node of a circular orbit.

近地点幅角为近地点到升交点弧段所对应的夹角。在四个参考点中,A点位近地点,则近地点幅角可以用下式计算。The argument of perigee is the angle corresponding to the arc segment from perigee to ascending node. Among the four reference points, point A is at the perigee, and the argument of the perigee can be calculated using the following formula.

式中,||·||表示矢量的模。当轨道为圆轨道时,此时轨道没有远、近地点之分,所以没有近地点幅角根数。In the formula, ||·|| represents the module of the vector. When the orbit is a circular orbit, there is no distinction between far and perigee, so there is no perigee argument root.

以上计算出了轨道六根数中的五个参数,通过这五个参数可以完全确定目标轨道在惯性空间的位置。六根数中的第六个参数为真近点角,表征卫星在轨道上的相对位置,可以通过用户拖拽卫星在轨道上的位置来确定卫星的真近点角f。The five parameters of the six orbital numbers are calculated above. Through these five parameters, the position of the target orbit in the inertial space can be completely determined. The sixth parameter among the six numbers is the true periapsis angle, which represents the relative position of the satellite in the orbit. The true periapsis angle f of the satellite can be determined by the user dragging the satellite's position in the orbit.

在完成快速轨道根数计算后,如果用户要得到精确的轨道根数,需要进行笛卡尔坐标系下轨道数据的计算。此时需要将轨道根数转化到笛卡儿坐标系下的轨道参数,然后利用笛卡尔坐标下的轨道参数进行递推计算,得到更为精确的轨道。依照如下的转化过程进行计算:After completing the fast orbit root number calculation, if the user wants to obtain the accurate orbit root number, it is necessary to calculate the orbit data in the Cartesian coordinate system. At this time, it is necessary to convert the orbital radicals into orbital parameters in the Cartesian coordinate system, and then use the orbital parameters in the Cartesian coordinates to perform recursive calculations to obtain a more accurate orbit. Calculate according to the following conversion process:

a.计算当前地心距a. Calculate the current distance from the center of the earth

b.计算当前卫星的幅角b. Calculate the argument of the current satellite

u=ω+fu=ω+f

c.计算当前卫星的位置的三分量x,y,zc. Calculate the three components x, y, z of the current satellite position

d.图8所示为卫星位置在天球上的关系。其中s点为卫星在天球上的投影。由球面三角关系可得d. Figure 8 shows the relationship between satellite positions on the celestial sphere. Among them, point s is the projection of the satellite on the celestial sphere. It can be obtained from the spherical trigonometric relationship

e.计算当前卫星速率ve. Calculate the current satellite rate v

f.计算速度的分量f. Calculate the components of velocity

卫星速度方向在轨道平面内,设其指向图中的s′点。s′和s之间的夹角为The satellite velocity direction is in the orbital plane, and it is assumed to point to the s′ point in the figure. The angle between s′ and s is

|r×v|=h|r×v|=h

Right now

从轨道椭圆的切向可以判断,f在第I、II象限时,在第I象限;f在第III、IV象限时,/>在第II象限。It can be judged from the tangent direction of the orbital ellipse that when f is in the I and II quadrants, In the I quadrant; when f is in the III and IV quadrants,/> In Quadrant II.

用球面三角公式可以得到make Using the spherical trigonometric formula we can get

在完成了笛卡尔坐标下轨道参数的计算后,利用此轨道参数可以进行轨道数据的计算,即轨道递推,递推公式如下所示。After completing the calculation of orbit parameters in Cartesian coordinates, the orbit parameters can be used to calculate orbit data, that is, orbit recursion. The recursion formula is as follows.

式中,x,y,z为卫星坐标;为卫星到地心的距离;μ为地球引力常数。In the formula, x, y, z are satellite coordinates; is the distance from the satellite to the center of the earth; μ is the earth’s gravitational constant.

本发明系统的技术效果:Technical effects of the system of the present invention:

1)天体地表快速生成1) Rapid generation of celestial bodies and surfaces

天体地表快速生成包括天光背景、太阳系天体、天体表面环境等要素的快速生成。The rapid generation of celestial bodies and surfaces includes the rapid generation of skylight background, solar system celestial bodies, celestial body surface environment and other elements.

天光背景快速生成基于伊巴古星表、SAO表等公开星表的数据实现了星座、星系、星云等的生成与绘制,图9为天光背景生成效果图。The rapid generation of skylight background realizes the generation and drawing of constellations, galaxies, nebulae, etc. based on the data of public star catalogs such as Ibagu star catalog and SAO catalog. Figure 9 is the rendering of skylight background generation.

太阳系天体快速生成根据真实星历数据驱动太阳系行星及卫星运动形成太阳系天体运动场景,图10为太阳系天体生成效果图。The rapid generation of solar system celestial bodies drives the movement of solar system planets and satellites based on real ephemeris data to form a solar system celestial body movement scene. Figure 10 is a rendering of solar system celestial body generation.

天体表面环境快速生成如地表环境,其地形地貌基于多分辨率地理数据采用纹理贴图方式实现,大气效果基于单散射模型来生成与渲染,图11地球多分辨率生成效果图。The surface environment of celestial bodies is quickly generated, such as the earth's surface environment. Its topography and landforms are implemented based on multi-resolution geographical data using texture mapping. The atmospheric effects are generated and rendered based on a single scattering model. Figure 11 Multi-resolution generation rendering of the earth.

2)空间环境快速生成2) Rapid generation of space environment

空间环境快速生成包括地球磁场、辐射带、太阳风等影响航天器运行的环境要素的快速生成。The rapid generation of space environment includes the rapid generation of environmental factors that affect the operation of spacecraft, such as the earth's magnetic field, radiation belts, and solar wind.

地球磁场基于磁力线追踪的方法,依据所处位置采用国际参考地磁场或T96磁层磁场模式计算磁场强度得到,图12为地球磁场效果图。The earth's magnetic field is based on the magnetic field line tracking method, and the magnetic field intensity is calculated using the international reference geomagnetic field or the T96 magnetospheric magnetic field model according to the location. Figure 12 is a rendering of the earth's magnetic field.

地球辐射带基于电子AE8和质子AP8辐射带模式,采用最外层融合截面的方法表征形成可视化效果,图13为基于辐射带数据的剖面可视化效果图。The Earth's radiation belts are based on the electron AE8 and proton AP8 radiation belt models, and are characterized by the outermost fusion cross-section method to form a visualization effect. Figure 13 is a visualization effect diagram of the cross-section based on radiation belt data.

太阳风基于数据采样采用磁力线追踪的方式形成太阳风行星际磁场效果,图14为太阳风行星际效果图。The solar wind uses magnetic field line tracking to form the solar wind interplanetary magnetic field effect based on data sampling. Figure 14 shows the solar wind interplanetary effect.

3)货架式航天器结构快速交互生成与设计3) Rapid interactive generation and design of shelf-type spacecraft structures

提炼以往常见的载荷和航天器平台或者构建简单形状模型制作特征模型库,形成货架元素,通过拖拽式点选、放缩等操作快速构建目标航天器,图15为货架式航天器结构快速设计效果图。Extract common payloads and spacecraft platforms in the past or build a simple shape model to create a feature model library to form a shelf element. The target spacecraft can be quickly constructed through drag-and-drop click, zoom and other operations. Figure 15 shows the rapid design of the shelf spacecraft structure. Renderings.

4)基于特征的任务轨道快速交互生成与设计4) Rapid interactive generation and design of task tracks based on features

采用拖拽式轨道交互设计的方式来改变轨道根数从而快速形成新的轨道:根据椭圆轨道的六根数设定特征点,通过鼠标拖拽改变这些特征点实现轨道的交互设计,同时可以通过六根数设定面板直接改变相关数值,图16为基于特征的任务轨道快速设计效果图。Use the drag-and-drop orbit interactive design method to change the number of orbit elements to quickly form a new orbit: set the characteristic points according to the six elements of the elliptical orbit, and change these feature points by dragging the mouse to realize the interactive design of the orbit. At the same time, you can use the six elements of the elliptical orbit to Change the relevant values directly in the number setting panel. Figure 16 is a quick design rendering of the task track based on features.

最后所应说明的是,以上实施例仅用以说明本发明的技术方案而非限制。尽管参照实施例对本发明进行了详细说明,本领域的普通技术人员应当理解,对本发明的技术方案进行修改或者等同替换,都不脱离本发明技术方案的精神和范围,其均应涵盖在本发明的权利要求范围当中。Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and are not limiting. Although the present invention has been described in detail with reference to the embodiments, those of ordinary skill in the art will understand that modifications or equivalent substitutions may be made to the technical solutions of the present invention without departing from the spirit and scope of the technical solutions of the present invention, and they shall all be covered by the scope of the present invention. within the scope of the claims.

Claims (10)

1.一种大尺度空间试训任务场景快速生成系统,其特征在于,所述系统包括:1. A large-scale space trial training task scene rapid generation system, characterized in that the system includes: 任务训练环境生成模块,用于通过空间环境数据或计算模式生成任务训练环境;The task training environment generation module is used to generate the task training environment through spatial environment data or computing models; 航天器生成模块,用于构建货架式元素,并基于货架式元素采用人机交互方式组合生成不同航天器;The spacecraft generation module is used to build shelf-type elements, and use human-computer interaction to combine and generate different spacecrafts based on the shelf-type elements; 任务轨道生成模块,用于采用图形化交互式方式生成任务轨道;和A mission trajectory generation module for generating mission trajectories in a graphical and interactive manner; and 试训任务场景生成模块,用于将任务训练环境、航天器和任务轨道融合形成试训任务场景。The trial training mission scenario generation module is used to integrate the mission training environment, spacecraft and mission orbit to form a trial training mission scenario. 2.根据权利要求1所述的大尺度空间试训任务场景快速生成系统,其特征在于,所述任务训练环境生成模块中,生成任务训练环境包括:生成地球磁场、生成地球辐射带和生成太阳风;其中,地球磁场包括内源场和外源场;2. The large-scale space trial training mission scene rapid generation system according to claim 1, characterized in that, in the mission training environment generation module, generating the mission training environment includes: generating the earth's magnetic field, generating the earth's radiation belt and generating the solar wind. ; Among them, the earth's magnetic field includes internal source field and external source field; 所述生成地球磁场,包括:采用地球物理学中的国际标准“国际参考地磁场”计算内源场,采用T96磁层磁场模式计算外源场;并采用磁力线对地球磁场进行表征;The generation of the earth's magnetic field includes: using the international standard "International Reference Geomagnetic Field" in geophysics to calculate the internal source field, using the T96 magnetospheric magnetic field model to calculate the external source field; and using magnetic field lines to characterize the earth's magnetic field; 所述生成地球辐射带,包括:采用电子AE8和质子AP8模式计算地球辐射带,并采用最外层融合截面的方式进行,通过对辐射带中给出不同能量的质子、电子在空间的全向积分通量的分布情况进行可视化表示对地球辐射带进行表征;The generation of the earth's radiation belt includes: using the electron AE8 and proton AP8 modes to calculate the earth's radiation belt, and using the outermost fusion cross-section method to calculate the omnidirectional direction of protons and electrons with different energies in the radiation belt in space. Visual representation of the distribution of integrated flux to characterize the Earth's radiation belts; 所述生成太阳风,包括:根据现有观测数据在1AU空间范围内,仿真太阳风的等离子体的密度、温度、速度和磁场在空间的分布情况,其中,密度和温度均只要一个数据项描述;速度和磁场强度均需要由3个坐标轴方向上的分量确定;并通过一个数据项基于颜色表转化为颜色对密度或温度进行表征,采用与地球磁场快速生成方法中磁力线生成方式,通过在太阳风数据中插值生成速度和磁场强度的表征效果。The generation of solar wind includes: simulating the density, temperature, velocity and magnetic field distribution of plasma in the solar wind within a 1AU spatial range based on existing observational data, wherein density and temperature are described by only one data item; velocity and magnetic field strength need to be determined by the components in the three coordinate axis directions; and a data item is converted into color based on the color table to characterize the density or temperature, using the magnetic field line generation method in the earth's magnetic field rapid generation method, through the solar wind data Medium interpolation generates characterization effects on velocity and magnetic field strength. 3.根据权利要求2所述的大尺度空间试训任务场景快速生成系统,其特征在于,所述内源场的北向分量X、东向分量Y和垂直向下的分量Z的计算式分别为:3. The large-scale space trial training task scene rapid generation system according to claim 2, characterized in that the calculation formulas of the north component X, the east component Y and the vertical downward component Z of the internal source field are respectively: : 其中,(r,θ,λ)是地心坐标,r是地心距,θ是地理余纬;λ是地理经度,a是地球半径,和/>是t时刻一定阶数N的高斯系数,/>是n阶m次施密特拟规格化Legendre函数;Among them, (r, θ, λ) is the geocentric coordinate, r is the geocentric distance, θ is the geographical colatitude; λ is the geographical longitude, a is the radius of the earth, and/> is the Gaussian coefficient of a certain order N at time t,/> is the m-order Schmidt quasi-normalized Legendre function of order n; 所述T96磁层磁场模式为利用太阳风压力、DST指数、行星际磁场以及地磁倾角来计算空间某点的外部磁场;The T96 magnetospheric magnetic field model uses solar wind pressure, DST index, interplanetary magnetic field and geomagnetic inclination to calculate the external magnetic field at a certain point in space; 所述采用磁力线对地球磁场进行表征,具体包括:确定磁力线的初始位置点P1,依据该点的磁场强度,在其磁场方向上以小步长T前进至P2,在P2点重复上述过程,直至到达数据场的边界或其它终止条件;其中任意点P的磁场强度依据其所处位置采用国际参考地磁场或T96磁层磁场模式计算得到;The use of magnetic field lines to characterize the earth's magnetic field specifically includes: determining the initial position point P1 of the magnetic field lines, advancing to P2 with a small step size T in the direction of the magnetic field according to the magnetic field strength at this point, and repeating the above process at point P2 until Reach the boundary or other termination conditions of the data field; the magnetic field strength of any point P is calculated based on its location using the international reference geomagnetic field or the T96 magnetospheric magnetic field model; 仿真太阳风的等离子体的密度、温度、速度和磁场在空间的分布情况时,在极坐标空间对空间太阳风数据进行采样,具体包括:When simulating the density, temperature, velocity and magnetic field distribution of solar wind plasma in space, the space solar wind data is sampled in polar coordinate space, specifically including: 用x轴、y轴和z轴标识太阳黄道坐标系的参考坐标轴,由三元式确定每一个采样点空间位置,r’是采样点到太阳日心的距离,θ’是采样点与日心连线在黄道面内的投影与日心黄道坐标系的x轴的夹角,/>是采样点与日心的连线与日心黄道坐标系z轴的夹角;每一采样点的属性域包含:背景场密度、背景场温度、及某仿真时刻的粒子密度、温度、磁场强度和径向速度;采样时,距日心越近,单位距离上的数据采样频率越高。The reference coordinate axes of the solar ecliptic coordinate system are identified with the x-axis, y-axis and z-axis, as given by The ternary formula determines the spatial position of each sampling point. r' is the distance from the sampling point to the heliocenter of the sun. θ' is the intersection between the projection of the line connecting the sampling point and the heliocenter in the ecliptic plane and the x-axis of the heliocentric ecliptic coordinate system. angle,/> It is the angle between the line connecting the sampling point and the heliocenter and the z-axis of the heliocentric ecliptic coordinate system; the attribute domain of each sampling point includes: background field density, background field temperature, and particle density, temperature, and magnetic field intensity at a certain simulation moment and radial velocity; when sampling, the closer to the heliocenter, the higher the data sampling frequency per unit distance. 4.根据权利要求1所述的大尺度空间试训任务场景快速生成系统,其特征在于,所述航天器生成模块中,构建货架式元素包括:总结和归纳各航天器平台和载荷的三维特点,提取典型部件的三维结构进行数字化,定义几何模型,建立模型模板和组件并提供相应构建方法和组件库;其中,4. The large-scale space trial training mission scene rapid generation system according to claim 1, characterized in that, in the spacecraft generation module, constructing shelf elements includes: summarizing and summarizing the three-dimensional characteristics of each spacecraft platform and load. , extract the three-dimensional structure of typical components for digitization, define geometric models, establish model templates and components, and provide corresponding construction methods and component libraries; among them, 定义几何模型时,包括定义几何模型的几何拓扑特征、形状特征、工作特征、材料特征和质量特征;定义工作特征时,至少对部件进行覆盖分析、遮挡分析和通信分析;定义工作特征时,至少对部件进行渲染分析、力学分析和热分析。When defining the geometric model, include defining the geometric topological characteristics, shape characteristics, work characteristics, material characteristics and quality characteristics of the geometric model; when defining the work characteristics, at least perform coverage analysis, occlusion analysis and communication analysis on the components; when defining the work characteristics, at least Perform rendering analysis, mechanical analysis, and thermal analysis on components. 5.根据权利要求1所述的大尺度空间试训任务场景快速生成系统,其特征在于,所述航天器生成模块中,基于货架式元素采用人机交互方式组合生成不同航天器时,采用从下而上的结构设计模式,先进行组件的三维设计,然后把组件逐级装配起来,完成整个航天器结构的装配,具体包括:5. The large-scale space trial training mission scene rapid generation system according to claim 1, characterized in that, in the spacecraft generation module, when different spacecrafts are generated based on the human-computer interaction method based on shelf-type elements, the following methods are used: The bottom-up structural design model first carries out the three-dimensional design of the components, and then assembles the components step by step to complete the assembly of the entire spacecraft structure, including: a)建立空白设计场景;a) Establish a blank design scene; b)选择航天器平台类型,调整航天器平台各个部分的大小尺寸;b) Select the type of spacecraft platform and adjust the size of each part of the spacecraft platform; c)选择航天器内部载荷组件,并调整参数,包括大小和重量;c) Select the spacecraft’s internal load components and adjust parameters, including size and weight; d)安装平台内部载荷并检测,包括碰撞和吸附,同时设置载荷的安装姿态,确定载荷视场大小及指向;d) Install and detect the internal load of the platform, including collision and adsorption, while setting the installation posture of the load and determining the size and direction of the load field of view; e)安装平台外部载荷,调整特征参数,包括大小、重量和材质,设置探测视场大小及指向,选择转台类型,安装并设置运动方式;e) Install the external load of the platform, adjust the characteristic parameters, including size, weight and material, set the size and direction of the detection field of view, select the turntable type, install and set the movement mode; f)选择通信天线类型、安装方式以及安装位置;f) Select the communication antenna type, installation method and installation location; g)选择太阳帆板类型,设置安装位置和展开方式;g) Select the solar panel type, set the installation position and deployment method; h)完成航天器结构设计。h) Complete the spacecraft structural design. 6.根据权利要求1所述的大尺度空间试训任务场景快速生成系统,其特征在于,所述任务轨道生成模块包括:空间生成单元、天体生成单元、轨道计算和调整单元,其中,6. The large-scale space trial training mission scene rapid generation system according to claim 1, characterized in that the mission orbit generation module includes: a space generation unit, a celestial body generation unit, an orbit calculation and adjustment unit, wherein, 所述空间生成单元,用于建立三维立体虚拟空间,并建立参考坐标系;The space generation unit is used to establish a three-dimensional virtual space and establish a reference coordinate system; 所述天体生成单元,用于在三维立体虚拟空间中建立太阳系中的天体,包括天体的位置、速度和自转,并对天体进行经纬度划分;The celestial body generation unit is used to establish celestial bodies in the solar system in a three-dimensional virtual space, including the position, speed and rotation of the celestial bodies, and divide the celestial bodies into longitude and latitude; 所述轨道计算和调整单元,用于通过轨道特征点在三维立体虚拟空间建立、调整和生成任务轨道。The orbit calculation and adjustment unit is used to establish, adjust and generate mission orbits in a three-dimensional virtual space through orbit feature points. 7.根据权利要求6所述的大尺度空间试训任务场景快速生成系统,其特征在于,所述轨道计算和调整单元中,通过轨道特征点在三维立体虚拟空间建立、调整和生成任务轨道,包括:7. The large-scale space trial training task scene rapid generation system according to claim 6, characterized in that, in the orbit calculation and adjustment unit, the task orbit is established, adjusted and generated in the three-dimensional virtual space through orbit feature points, include: 以在屏幕上直接绘制、从系统后台数据库中点选或参数输入的方式,建立一个缺省的轨道作为操作对象,其中在屏幕上直接绘制建立缺省轨道时,利用轨道特征点与中心天体、虚拟三维空间的相对关系,提取轨道根数计算所需要的输入信息,完成快速轨道根数的计算;Establish a default orbit as the operation object by directly drawing on the screen, clicking from the system background database, or inputting parameters. When drawing directly on the screen to establish the default orbit, the orbit feature points and the central celestial body, The relative relationship in the virtual three-dimensional space extracts the input information required for orbit root number calculation to complete the calculation of fast orbit root number; 在缺省轨道建立后,通过调整轨道上一系列反映当前轨道度量信息的轨道特征点改变轨道的形状和方位,直到轨道可以覆盖用户所需要完成的任务目标完成轨道的调整,生成任务轨道。After the default orbit is established, the shape and orientation of the orbit are changed by adjusting a series of orbit feature points on the orbit that reflect the current orbit metric information until the orbit can cover the mission goals that the user needs to complete. The adjustment of the orbit is completed and the mission orbit is generated. 8.根据权利要求7所述的大尺度空间试训任务场景快速生成系统,其特征在于,完成快速轨道根数的计算的过程中,当轨道为椭圆轨道时,计算的轨道根数包括:半长轴a、偏心率e、轨道倾角i、近地点辐角ω、升交点赤经Ω和真近点角f,计算式分别为:8. The large-scale space trial training task scene rapid generation system according to claim 7, characterized in that, in the process of completing the calculation of the fast orbit root number, when the orbit is an elliptical orbit, the calculated orbit root number includes: half The calculation formulas for the major axis a, eccentricity e, orbital inclination i, perigee argument ω, ascending node right ascension Ω and true periapsis angle f are: 其中,ra,rp分别表示目标轨道的远、近地点半径:ra=dB,rp=dAdj表示参考点j到中心点的距离;(xj,yj,zj)表示参考点j的坐标PjAmong them, r a and r p represent the far and perigee radii of the target orbit respectively: r a =d B ,r p =d A ; d j represents the distance from the reference point j to the center point; (x j , y j , z j ) represents the coordinate P j of the reference point j; 式中,||H||表示轨道法向矢量H的模;In the formula, ||H|| represents the module of the orbit normal vector H; H=(hx hy hz)T=PA×PC=PC×PB=PB×PD=PD×PA,(hx hy hz)表示轨道法线矢量;H=(h x h y h z ) T =P A ×P C =P C ×P B =P B ×P D = PD ×P A , (h x h y h z ) represents the orbit normal vector; 式中,O为坐标中心,Pa(xa,ya,za=0)为升交点,||OPa||表示升交点与坐标中心连线的矢量的模;In the formula, O is the coordinate center, P a (x a , y a , z a = 0) is the ascending node, ||OP a || represents the module of the vector connecting the ascending node and the coordinate center; 式中,||·||表示矢量的模;In the formula, ||·|| represents the module of the vector; 真近点角f通过用户拖拽卫星在轨道上的位置来确定。The true periapsis angle f is determined by the user dragging the position of the satellite in orbit. 9.根据权利要求8所述的大尺度空间试训任务场景快速生成系统,其特征在于,轨道计算和调整单元中,通过轨道特征点在三维立体虚拟空间建立、调整和生成任务轨道,还包括:在完成快速轨道根数计算后,将轨道根数转化到笛卡儿坐标系下的轨道参数,然后利用笛卡尔坐标下的轨道参数进行递推计算,得到更精确的轨道。9. The large-scale space trial training task scene rapid generation system according to claim 8, characterized in that in the orbit calculation and adjustment unit, the task orbit is established, adjusted and generated in the three-dimensional virtual space through orbit feature points, and further includes : After completing the calculation of the fast orbit root number, convert the orbit root number into the orbit parameters in the Cartesian coordinate system, and then use the orbit parameters in the Cartesian coordinate system to perform recursive calculations to obtain a more accurate orbit. 10.根据权利要求9所述的大尺度空间试训任务场景快速生成系统,其特征在于,所述将轨道根数转化到笛卡儿坐标系下的轨道参数,包括:10. The large-scale space trial training task scene rapid generation system according to claim 9, characterized in that the transformation of orbital root numbers into orbital parameters in a Cartesian coordinate system includes: a)计算当前地心距r:a) Calculate the current geocentric distance r: b)计算当前卫星的幅角u:b) Calculate the argument u of the current satellite: u=ω+fu=ω+f c)计算当前卫星的位置的三分量x,y,z:c) Calculate the three components x, y, z of the current satellite position: 其中,s点为卫星在天球上的投影,r为地心距,i为轨道倾角,u为当前卫星的幅角,Ω为升交点赤经;Among them, point s is the projection of the satellite on the celestial sphere, r is the geocentric distance, i is the orbital inclination, u is the argument of the current satellite, and Ω is the right ascension of the ascending node; d)计算当前卫星速率v:d) Calculate the current satellite rate v: 其中,μ为地球引力常数;Among them, μ is the gravitational constant of the earth; e)计算速度的分量e) Calculate the components of velocity 其中,s′点表示卫星速度方向在轨道平面内的指向点,˙表示一次求导;s′和s之间的夹角满足:in, The s′ point represents the pointing point of the satellite velocity direction in the orbital plane, and ˙ represents a derivation; the angle between s′ and s satisfies: f在第I、II象限时,在第I象限;f在第III、IV象限时,/>在第II象限。When f is in the I and II quadrants, In the I quadrant; when f is in the III and IV quadrants,/> In Quadrant II. 利用笛卡尔坐标下的轨道参数进行递推计算时,递推公式为:When performing recursive calculation using orbital parameters in Cartesian coordinates, the recursive formula is: 式中,x,y,z为卫星坐标,¨表示二次求导;为卫星到地心的距离。In the formula, x, y, z are satellite coordinates, and ¨ represents the quadratic derivation; is the distance from the satellite to the center of the earth.
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Publication number Priority date Publication date Assignee Title
CN117648831A (en) * 2024-01-29 2024-03-05 北京蓝天航空科技股份有限公司 Beacon navigation simulation scene construction method, device, equipment and navigation simulation system
CN117973816A (en) * 2024-04-01 2024-05-03 贵州师范大学 An observation planning system and method based on antenna array
CN118036339A (en) * 2024-04-10 2024-05-14 中国科学院地质与地球物理研究所 Determination method and device for planetary magnetic field model coefficient and electronic equipment

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN117648831A (en) * 2024-01-29 2024-03-05 北京蓝天航空科技股份有限公司 Beacon navigation simulation scene construction method, device, equipment and navigation simulation system
CN117648831B (en) * 2024-01-29 2024-04-05 北京蓝天航空科技股份有限公司 Beacon navigation simulation scene construction method, device, equipment and navigation simulation system
CN117973816A (en) * 2024-04-01 2024-05-03 贵州师范大学 An observation planning system and method based on antenna array
CN118036339A (en) * 2024-04-10 2024-05-14 中国科学院地质与地球物理研究所 Determination method and device for planetary magnetic field model coefficient and electronic equipment
CN118036339B (en) * 2024-04-10 2024-06-14 中国科学院地质与地球物理研究所 A method, device and electronic equipment for determining planetary magnetic field model coefficients

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