CN115238226B - Calculation method for air defense effective killing area - Google Patents
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Abstract
The invention discloses a calculation method of an air defense effective killing area, which comprises the following steps: constructing a space killing region model of the anti-guided weapon system according to the performance parameters of the anti-guided weapon system; fitting a motion equation of the attack target by interpolation according to the motion trail of the attack target; based on the space killing area model of the anti-guided weapon system and the motion equation of the attack target, the time length of the launching arc section and the time length of the intercepting arc section of the attack target in the anti-guided weapon system are calculated. An algebraic equation of a boundary curved surface of a reverse weapon killing area is provided, and a formula for calculating the emission arc length and the interception arc length of an attack target in a reverse weapon system is provided according to the motion parameters of the attack target, so that the defect that the calculation formulas for different attack target killing areas cannot be commonly used is overcome, and a certain theoretical support is provided for deployment of the air defense reverse weapon system.
Description
Technical Field
The invention relates to the technical field of missile weapon system application, in particular to an anti-air effective killing area calculation method.
Background
The ballistic missile has the characteristics of high speed, high power, high striking precision, strong outburst prevention capability and the like. How the defender optimally deploys the interception weapons according to the interception capability of the anti-guided weapon system and the missile attack route is a key problem to be solved in the current construction of the anti-guided interception system and improvement of the combat effectiveness of the system.
The transmitting arc section and the intercepting arc section are important indexes for measuring the intercepting capability of the anti-guided weapon system, and the longer the target flies on the arc section, the larger the operation space of the battlefield personnel is, and the higher the intercepting success rate is. The transmitting arc section, the intercepting arc section and the deployment position, the detection tracking capability, the radar sector angle, the intercepting bomb flying speed, the killing airspace and other parameters of the anti-guided weapon system are related.
The existing general killing region calculation method is to calculate different types of anti-guiding weapon systems, and calculate the characteristic points of the killing region by using the performance parameters of the killing region, such as far limit, near limit, high and low limit and the like. The feature point calculation methods of the killing areas of the anti-guiding weapon systems of different types are different, a unified solving method is not available, and the feature point calculation methods of the same anti-guiding weapon system for different attack targets are also different.
Disclosure of Invention
The method gives an algebraic equation of the killing area boundary of the anti-guided weapon system, and can calculate the length of a transmitting arc section and the length of an intercepting arc section of the attack target in the anti-guided weapon system according to the motion trail of the attack target. The defense efficiency of the anti-guiding weapon system on the attack targets of different types and different attack directions is quantitatively described, and the defect that the calculation formulas of the attack targets of different attack directions cannot be commonly used is overcome. Aiming at the technical problems, the invention provides an anti-idle effective killing area calculating method, an anti-idle effective killing area calculating device and a storage medium.
The technical scheme for solving the technical problems is as follows:
a calculation method of an air defense effective killing area comprises the following steps:
step 1: constructing a space killing region model of the anti-guided weapon system according to the performance parameters of the anti-guided weapon system;
step 2: fitting a motion equation of the attack target by interpolation according to the motion trail of the attack target;
step 3: based on the space killing area model of the anti-guided weapon system and the motion equation of the attack target, the time length of the transmitting arc section and the time length of the intercepting arc section of the attack target in the anti-guided weapon system are calculated.
Further, the step 1 includes the following steps:
the northeast direction is taken as an X axis, the northeast direction is taken as a Y axis, the heaven is taken as a Z axis, a northeast rectangular coordinate system is established, and the clockwise angle of the normal direction of the radar heaven relative to the northeast direction is taken as
Azimuth angle of detection area of radar +.>
Detection area pitch angle range of radar +.>
The radar power factor K, the radar target RCS is +.>
The method comprises the steps of carrying out a first treatment on the surface of the Let the azimuth of the detection area of the radar be +.>
The pitch angle of the detection area of the radar is +.>
And if the radius of the detection area of the radar is R, the spherical equation of the far-range curved surface of the detection area of the radar is as follows: />
Set up anti-weapon system array ground center and lie in northeast sky rectangular coordinate system point
；
Translating the anti-guiding weapon system into the northeast rectangular coordinate system, and using the central coordinate of the array of the anti-guiding weapon system
According to the relation between spherical coordinates and rectangular coordinates, the boundary surface equation of the detection area of the anti-guided weapon system under the northeast rectangular coordinate system is obtained as follows:
wherein x, y and z represent boundary coordinates of a detection area of the anti-guided weapon system in the northeast rectangular coordinate system.
Further, the boundary curved surface in the space killing region model comprises a space killing region far interface, a space killing region near interface, a space killing region high interface, a space killing region low interface, a space killing region high near interface and a space killing region side near interface; wherein, the course angle of the reverse weapon system is
；
The equation for the far-end interface of the space kill zone is as follows:
wherein ,
；
the near-interface equation for the spatial kill zone is as follows:
wherein ,
；
the spatial kill zone high boundary plane equation is as follows:
wherein ,
；
the space killing region low boundary plane equation is as follows:
wherein ,
；
high near-interface equation for space killing region:
further, in the step 3, based on the spatial killing area model of the anti-guided weapon system and the motion parameters of the target of attack, the time length of the launching arc segment of the target of attack in the anti-guided weapon system is calculated, including:
step 3.1 obtaining the remote point time of the anti-guided weapon system to detect the attack target
The system reaction time is +.>
The method comprises the steps of carrying out a first treatment on the surface of the And the intersection point and time of the attack target and the boundary curved surface of the killing area, namely the time of the attack target entering the boundary of the killing area is +.>
The coordinates are +.>
The time for the attack target to leave the killing area is +.>
The coordinates are +.>
The method comprises the steps of carrying out a first treatment on the surface of the The flying speed of the interception bomb is +.>
；
Step 3.2 calculating the time when the attack target enters the intersection point of the killing area
：
Step 3.3, calculating the earliest launching point time and the latest launching point time of the intercepted missile;
if it is
The earliest emission point time is +.>
Otherwise, the earliest emission point time
；
Latest emission point time:
if it is
Indicating that the anti-guided weapon system can only intercept once, let +.>
；
Step 3.4, calculating the emission arc segment duration:
further, in the step 3, the calculating of the intercepting arc segment duration includes:
if it is
The first shot meeting encounters time at the boundary of the killing area>
The method comprises the steps of carrying out a first treatment on the surface of the The first shot encountering time is +.>
The coordinate of the encountering point is +.>
；
Otherwise the first set of parameters is selected,
further obtaining the duration of the interception arc section:
compared with the prior art, the invention has the following technical effects:
the algebraic equation of the boundary curved surface of the anti-guiding weapon killing area is given, the emission arc length and the interception arc length of the incoming target in the anti-guiding weapon system are calculated according to the motion parameters of the incoming target, the defect that the calculation formula for different incoming target killing areas cannot be commonly used is overcome, and a certain theoretical support is provided for the deployment of the anti-air anti-guiding weapon system.
Drawings
FIG. 1 is a schematic flow chart of the present invention;
FIG. 2 is a schematic diagram of a reverse weapon system interception process;
FIG. 3 is a schematic diagram of detection, emission and interception arcs to a target;
FIG. 4 is a schematic diagram of radar-related parameters of a returnable weapon system;
FIG. 5 is a schematic diagram of a northeast day coordinate system;
FIG. 6 is a schematic diagram of a kill zone of a returnable weapon system;
FIG. 7 is a schematic diagram of an actual vertical kill zone of the anti-guided weapon system;
FIG. 8 is a schematic vertical cross-section of an emitter region;
FIG. 9 is a schematic horizontal cross-section of an emitter region;
fig. 10 is a timing diagram of the intercept process of the anti-guided weapon system.
Detailed Description
The principles and features of the present invention are described below with reference to the drawings, the examples are illustrated for the purpose of illustrating the invention and are not to be construed as limiting the scope of the invention.
Fig. 2 is a schematic diagram of a reverse weapon system interception process. As shown in fig. 2, the process of intercepting a ballistic missile target mainly comprises 3 links: (1) radar detection of a returnable weapon system finds a target; (2) The weapon system has a fixed preparation time (system reaction time) and the interception bomb can be launched timely as required after the time; (3) After flying for a certain time along the connection line of the weapon system and the predicted encountering point, the intercepting bullet encounters a target in a killing space to kill the target.
FIG. 3 is a schematic diagram of detection, emission and interception arcs to a target. As shown in fig. 3, on the detection arc, the target can be detected and tracked by the weapon system radar, and is affected by radar detection capability, radar sector, weapon system deployment location, target trajectory, and radar cross-sectional area (Radar Cross Section, abbreviated as RCS). On the arc section of the transmitting arc section, the anti-guided weapon system transmits the interception bomb, so that the interception bomb and the target encountering point can be ensured to be in the killing area. The interception arc section is the arc section part of the target trajectory curve in the weapon system killing area, and the interception bomb can be encountered with the target on the arc section and is also limited by the detection arc section and the emission arc section.
FIG. 4 is a schematic diagram of radar-related parameters of a returnable weapon system. As shown in fig. 4, a necessary condition for the target to be detected and tracked by the radar is to enter the radar detection range. In general, elements constituting the radar detection range include an array surface normal direction OR and an azimuth angle range ±αRange of pitch angleβ 1 -β 2 And a far-ranging detection R (in km) for the target. The detection distance of the target is radar intrinsic parameter and can be expressed as
. Wherein K is a radar power coefficient, is a basic index for measuring radar detection capability, and can be used as a basis for calculating detection arc segments, < ->
RCS (unit is m 2 ）。
FIG. 1 is a schematic flow chart of the present invention. Referring to fig. 1, the embodiment provides a method for calculating an air defense effective killing area, which specifically includes the following steps:
step 1: and constructing a space killing region model of the anti-guided weapon system according to the performance parameters of the anti-guided weapon system.
And 1.1, constructing a radar detection model.
With the direction of the northeast direction as the X axis and the north direction as the Y axis, the day as the Z axis, a northeast day (ENS) rectangular coordinate system is established, as shown in FIG. 5.
According to the related parameters of the radar, the conditions such as shielding are not considered, and the detection area of the radar is an azimuth angle
Pitch angle->
Radius>
Is a part of a sphere of the formula (I). Let the normal direction of the radar sky be clockwise relative to the north direction>
Radar sector azimuth>
Radar sector pitch +.>
Radar power factor K, target RCS +.>
The spherical equation of the far-range curved surface of the radar detection area is:
step 1.2, constructing a space killing region model of the anti-guided weapon system based on the radar detection model.
Set up anti-weapon system array ground center and lie in northeast sky rectangular coordinate system point
. Translating the anti-guiding weapon system into the northeast rectangular coordinate system, and obtaining the central coordinate of the array of the anti-guiding weapon system +.>
According to the relation between the spherical coordinates and the rectangular coordinates, the boundary surface equation of the detection area of the anti-guided weapon system in the northeast rectangular coordinate system can be obtained as follows:
wherein the coefficients in equation (2)
From ∈1>
And (5) determining.
The spatial kill zone of the anti-guided weapon system is a spatial region in which the probability of the anti-guided weapon system killing the target is not below a given value. This spatial region, also known as the kill airspace, is generally described in the ground parameter right angle scale, as shown in FIG. 6, where the O-back guided weapon system is the center of the array; the OS axis is the horizontal projection of the incoming target velocity vector parallel and opposite; the far interface of the ABCD-killing area is a spherical surface with the maximum killing inclined distance taking O as the center of a circle as the radius; the KLNM-killing area near interface is a sphere with the minimum killing inclined distance taking O as the center of a circle as the radius; ABEF-the high boundary of the killing area is a plane which is parallel to SOH by taking the high boundary as high; dcnm—the low bound of the killing region, which is a plane parallel to SOH with the low bound high; EFLK-the high near interface of the killing area, the curved surface determined by the radar maximum pitch angle of the weapon system; the two side near interfaces of ADMKE, BCNLF-killing area are respectively perpendicular to SOH plane, and the included angle between the two near interfaces and POS is the maximum course angle of weapon systemγ。
In fact, since the radar antenna normal direction of the back-guided weapon system is fixed, and the killing area of the back-guided weapon system is related to the target attack direction, in actual interception, the effective killing area of the back-guided weapon system is different from the theoretical killing area, as shown in fig. 7.
As can be readily seen from fig. 6, when the radar antenna normal OR and the OS determined by the direction of the incoming target coincide OR do not exceed a certain angle, the actual killing area and the theoretical killing area are the same, as shown in the schematic diagram of fig. 7; when the angle is
Above a certain value, the actual killing area is smaller than the theoretical killing area. Assume that the maximum course angle of the anti-guided weapon system is +.>
Radar sector azimuth angle +.>
It can be seen that->
Then one side of the actual kill zone boundary is the boundary of the radar sector. When->
When the whole killing domain is not in the radar sector, and an effective killing domain does not exist for an incoming target.
According to the analysis, an actual killing area model is built according to the attack direction of the missile.
(1) ADMKE, bcnlf—near-field plane equation on the kill zone side.
From the previous analysis, it can be seen that when
When the two killing area side ADMKE and BCNLF are respectively +.>
The method comprises the steps of carrying out a first treatment on the surface of the When->
When the azimuth angle of the side ADMKE of the killing area in the spherical coordinate system is +.>
The azimuth angle of the lateral surface BCNLF of the killing area in a spherical coordinate system is +.>
The method comprises the steps of carrying out a first treatment on the surface of the When (when)
When the azimuth angle of the side ADMKE of the killing area in the spherical coordinate system is +.>
The azimuth angle of the lateral surface BCNLF of the killing area in a spherical coordinate system is +.>
The method comprises the steps of carrying out a first treatment on the surface of the When->
In the absence of effective killing areas, we have +.>
。
(2) ABCD-kill zone far-interface equation.
The equation of the far-end interface of the killing area can be calculated by using spherical coordinates as follows:
wherein ,
；
(3) KLNM-kill near interface equation.
wherein ,
。
(4) Abef—kill zone high boundary plane equation.
wherein ,
。
(5) Dcnm—killing region low-boundary plane equation.
wherein ,
。
(6) EFLK-high near interface equation for the kill zone.
And (3) according to the space killing area model constructed in the steps (1) - (6), the three-dimensional coordinates of the boundary vertexes of the effective killing area can be obtained by intercepting the weapon air defense system performance parameters.
Step 2: and fitting a motion equation of the attack target by interpolation according to the motion track of the attack target.
Judging that an incoming target, namely a missile, enters a killing area according to the movement track of the incoming target and the time of intersection with a curved surface
And time of leaving the killing zone->
。
Step 3: based on the space killing area model of the anti-guided weapon system and the motion equation of the attack target, the time length of the transmitting arc section and the time length of the intercepting arc section of the attack target in the anti-guided weapon system are calculated.
Definition 1: the launch area is a region of space in which a missile would encounter with a target if the target were to launch the missile.
The size and shape of the launching zone are related to factors such as the size and shape of the killing zone, the target speed, the time for the missile to fly to each point of the killing zone, the target track, and the like. The spatial emission region is still cut into a vertical emission region and a horizontal emission region. Cutting the section of the emission area with a plane perpendicular to the path shortcut axis, called the vertical section; the section obtained by cutting the emission area with a horizontal plane is called a horizontal section. As shown in fig. 8 and 9.
Parameters of the firing zone, one of the important bases for implementing the firing decisions of the anti-guided weapon system. The main steps are as follows: the depth of the transmitting zone, the flight time (residence time) of the target in the transmitting zone, the distance-near interface slant distance of the transmitting zone and the like. For the anti-guided weapon system, the transmitting arc section and the intercepting arc section are important indexes for measuring the intercepting capability of the anti-guided weapon system, and the longer the target flies on the arc section, the larger the operation space of the combat personnel is, and the higher the intercepting success rate is. The transmitting arc section, the intercepting arc section and the deployment position, the detection tracking capability, the radar sector angle, the intercepting bomb flying speed, the killing airspace and other parameters of the anti-guided weapon system are related.
The time for acquiring far-reaching point detection of an incoming target by an interception weapon system is
The coordinates are +.>
The method comprises the steps of carrying out a first treatment on the surface of the The system reaction time is +.>
The method comprises the steps of carrying out a first treatment on the surface of the The earliest emission point time is->
The method comprises the steps of carrying out a first treatment on the surface of the The latest emission point time is->
The method comprises the steps of carrying out a first treatment on the surface of the The boundary time of the attack target entering the killing area is +.>
The coordinates are +.>
The method comprises the steps of carrying out a first treatment on the surface of the The first shot encountering time is +.>
The coordinate of the encountering point is +.>
The method comprises the steps of carrying out a first treatment on the surface of the The time for the attack target to leave the killing area is +.>
The coordinates are +.>
The method comprises the steps of carrying out a first treatment on the surface of the The flying speed of the interception bomb is +.>
. As shown in fig. 10.
(1) Fire arc section duration model of anti-guided weapon system
The calculation formula of the time used for the intercepted missile to fly to the boundary of the killing area can be obtained through the previous analysis process, and the calculation formula of the time used for the intercepted missile is as follows:
if it is
The earliest emission point time is +.>
Otherwise->
The method comprises the steps of carrying out a first treatment on the surface of the So that the latest emission point time:
if it is
Indicating that the anti-guided weapon system can only intercept once, let +.>
. At this time, the emission arc period length can be obtained:
(2) Model for intercepting arc segment duration of anti-guided weapon system
If it is
First encounter time +.>
(first shot meets at the boundary of the killing area); otherwise
And then can calculate the duration of the interception arc segment:
the implementation gives an algebraic equation of the boundary curved surface of the anti-guiding weapon killing area, calculates the emission arc length and the interception arc length of the anti-guiding weapon system according to the motion parameters of the incoming target, quantitatively analyzes the defense efficiency of the anti-guiding weapon system to the incoming targets with different types and different incoming directions, overcomes the defect that the calculation formulas of different incoming target killing areas cannot be commonly used, and provides a certain theoretical support for the deployment of the anti-air-defense anti-guiding weapon system.
In an embodiment of the present invention, there is also provided an air defense effective killing area calculating device, including: a processor, a memory, and a program; the program is stored in the memory, and the processor calls the program stored in the memory to execute the method for calculating the anti-empty effective killing area.
In the implementation of the above-described anti-empty active killing zone computing device, the memory and the processor are electrically connected directly or indirectly to enable transmission or interaction of data. For example, the elements may be electrically connected to each other via one or more communication buses or signal lines, such as through a bus connection. The memory stores computer-executable instructions for implementing the data access control method, including at least one software functional module that may be stored in the memory in the form of software or firmware, and the processor executes the software programs and modules stored in the memory to perform various functional applications and data processing.
The Memory may be, but is not limited to, random Access Memory (RAM), read Only Memory (ROM), programmable Read Only Memory (Programmable Read-Only Memory, PROM), erasable Read Only Memory (Erasable)
Programmable Read-Only memory, abbreviated: EPROM), electrically erasable read-only memory (electrically erasable programmable read-only memory, abbreviation: EEPROM), and the like. The memory is used for storing a program, and the processor executes the program after receiving the execution instruction.
The processor may be an integrated circuit chip with signal processing capabilities. The processor may be a general-purpose processor, including a Central Processing Unit (CPU), a Network Processor (NP), and the like. The disclosed methods, steps, and logic blocks in the embodiments of the present application may be implemented or performed. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like.
In an embodiment of the present invention, there is also provided a computer-readable storage medium configured to store a program configured to perform one of the above-described methods of calculating an anti-empty effective killing region.
It will be apparent to those skilled in the art that embodiments of the present invention may be provided as a method, apparatus, or computer program product. Accordingly, embodiments of the invention may take the form of an entirely software embodiment or an embodiment combining software and hardware aspects. Furthermore, embodiments of the invention may take the form of a computer program product on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, etc.) having computer-usable program code embodied therein.
Embodiments of the present invention are described with reference to flowchart illustrations and/or block diagrams of methods, terminal devices (systems), and computer program products according to embodiments of the invention. These computer program instructions may be provided to a processor of a general purpose computer, special purpose computer, embedded processor, or other programmable data processing terminal to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing terminal, create means for implementing the functions specified in the flowchart.
These computer program instructions may also be stored in a computer-readable memory that can direct a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory produce an article of manufacture including instruction means which implement the function specified in the flowchart.
These computer program instructions may also be loaded onto a computer or other programmable data processing apparatus to cause a series of operational steps to be performed on the computer or other programmable apparatus to produce a computer implemented process such that the instructions which execute on the computer or other programmable apparatus provide steps for implementing the functions specified in the flowchart.
The above description of the invention provides an anti-air-defense effective killing area calculation method, an anti-air-defense effective killing area calculation device and a computer readable storage medium, which are applied to the specific examples herein to illustrate the principles and embodiments of the invention, the above examples are only used to help understand the method and core ideas of the invention; meanwhile, as those skilled in the art will have variations in the specific embodiments and application scope in accordance with the ideas of the present invention, the present description should not be construed as limiting the present invention in view of the above.
Claims (2)
1. The calculation method of the air defense effective killing area is characterized by comprising the following steps of:
step 1: constructing a space killing region model of the anti-guided weapon system according to the performance parameters of the anti-guided weapon system;
step 2: fitting a motion equation of the attack target by interpolation according to the motion trail of the attack target;
step 3: calculating the time length of a transmitting arc section and the time length of an intercepting arc section of an attack target in the anti-guided weapon system based on a space killing area model of the anti-guided weapon system and an attack target motion equation;
the step 1 comprises the following steps:
the northeast direction is taken as an X axis, the northeast direction is taken as a Y axis, the heaven is taken as a Z axis, a northeast rectangular coordinate system is established, and the clockwise angle of the normal direction of the radar heaven relative to the northeast direction is taken as
Azimuth angle of detection area of radar +.>
Range of pitch angle of detection area of radar
The radar power factor K, the radar target RCS is +.>
The method comprises the steps of carrying out a first treatment on the surface of the Let the azimuth of the detection area of the radar be +.>
The pitch angle of the detection area of the radar is +.>
Of radar typeAnd if the radius of the detection area is R, the spherical equation of the far-range curved surface of the radar detection area is as follows:
set up anti-weapon system array ground center and lie in northeast sky rectangular coordinate system point
；
Translating the anti-guiding weapon system into the northeast rectangular coordinate system, and using the central coordinate of the array of the anti-guiding weapon system
According to the relation between spherical coordinates and northeast rectangular coordinates, the boundary surface equation of the detection area of the anti-guided weapon system under the northeast rectangular coordinates is obtained as follows:
wherein ,x、y、zrepresenting coordinates of a detection area of the anti-guided weapon system in a northeast rectangular coordinate system;
the step 3 includes:
step 3.1 obtaining the remote point time of detecting the attack target by the anti-guided weapon system
The system reaction time is +.>
The method comprises the steps of carrying out a first treatment on the surface of the And the intersection point and time of the attack target and the boundary curved surface of the killing area, namely the time of the attack target entering the boundary of the killing area is +.>
The coordinates are
The time for the attack target to leave the killing area is +.>
The coordinates are +.>
The method comprises the steps of carrying out a first treatment on the surface of the The flying speed of the intercepting missile is +.>
；
Step 3.2 calculating the time when the attack target enters the intersection point of the killing area
：
Step 3.3, calculating the earliest launching point time and the latest launching point time of the intercepted missile;
if it is
The earliest emission point time is +.>
Otherwise, the earliest emission point time->
；
Latest emission point time:
if it is
Indicating that the anti-guided weapon system can only intercept once, let +.>
；/>
Step 3.4, calculating the emission arc segment duration:
in the step 3, the calculation of the intercepting arc segment duration includes:
if it is
The first shot meeting encounters time at the boundary of the killing area>
The method comprises the steps of carrying out a first treatment on the surface of the The first shot encountering time is
The coordinate of the encountering point is +.>
；
Otherwise the first set of parameters is selected,
further obtaining the duration of the interception arc section:
2. the method for calculating the effective space killing area according to claim 1, wherein the boundary curved surface in the space killing area model comprises a space killing area far interface, a space killing area near interface, a space killing area high interface, a space killing area low interface, a space killing area high near interface and a space killing area side near interface; wherein, the course angle of the reverse weapon system is
；
The equation for the far-end interface of the space kill zone is as follows:
wherein ,
；
the near-interface equation for the spatial kill zone is as follows:
wherein ,
；
the space killing region high interface equation is as follows:
wherein ,
；
the space killing region low interface equation is as follows:
wherein ,
；
high near-interface equation for space killing region:
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