Method and system for constructing space distribution model of explosion points of air explosion bomb

Abstract

The invention provides a method and a system for constructing a spatial distribution model of explosion points of an air explosion bomb, and belongs to the technical field of military operation. According to the method, the space distribution models of the bomb explosion points with determined and irregular bomb explosion heights are respectively established, and the two-dimensional edge probability distribution model of the empty bomb explosion points is established, so that the problem of coordinate transformation of the probability distribution models of different bombs under the combined action of multiple bombs is solved; the three-dimensional space distribution model of the explosion points of the empty explosion bomb is theoretically improved, and the problem of model errors introduced by neglecting the correlation between the explosion height and the drop point is solved.

Description

Technical Field

[0001] The present invention belongs to the field of military operations technology, and in particular relates to a method and system for constructing a spatial distribution model of explosion points of air-burst bombs. Background Art

[0002] The point of an airburst bomb can be represented by its altitude relative to the target (burst height) and its horizontal position at that altitude (i.e., impact point). Before a precision-guided bomb is delivered, its binding point is set based on the strike requirements. This includes the binding altitude and the aiming position on the horizontal plane at that altitude (i.e., aiming point). Due to the influence of random factors such as bomb delivery conditions, post-delivery environmental conditions, and errors in the bomb's motion control and detonation control, the bomb's point of detonation will deviate both vertically and horizontally from the binding point. Because the control of a bomb's altitude and impact point are generally independent of each other, these deviations can be represented by the deviations in altitude and impact point.

[0003] The spatial distribution of airburst bomb impact points forms the fundamental model for damage effect calculations. The authenticity and accuracy of this model directly determine the accuracy and reliability of damage effect calculations, which in turn influences strike planning, including aiming point selection and ammunition consumption calculations, as well as strike effect assessment. Existing solutions typically treat blast height error and impact point error as independent random variables, converting the blast height error into a correction for the impact point error, and constructing a two-dimensional planar distribution model instead of a three-dimensional spatial distribution. This solution ignores the correlation between blast height and impact point, resulting in significant errors and limited model accuracy. Summary of the Invention

[0004] In order to solve the above technical problems, the present invention proposes a method and system for constructing a spatial distribution model of explosion points of air-burst bombs.

[0005] A first aspect of the present invention discloses a method for constructing a spatial distribution model of explosion points of air-burst bombs, the method comprising:

[0006] Step S1, respectively establish a delivery coordinate system and a target coordinate system; wherein, the delivery coordinate system takes the aiming point as its origin, and determines the bomb delivery direction L and the direction H perpendicular to the delivery direction L as the vertical axis and horizontal axis of the delivery coordinate system respectively; the target coordinate system takes the center of the target area as its origin, and the x-axis and y-axis point to the east and north respectively.

[0007] Step S2: determine the angle β between the bomb delivery direction L and the x-axis of the target coordinate system, and then calculate the vertical standard deviation σ of the bomb landing point in the delivery coordinate system. L , longitudinal system deviation μ L , horizontal standard deviation σ H and the lateral system deviation μ H , calculate the ideal bomb drop point in the target coordinate system The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal bomb drop point coordinates in the target coordinate system;

[0008] Step S3: according to the actual blast height condition, the ideal bomb drop point in the target coordinate system is used The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal landing point coordinates in the target coordinate system, determine the bomb explosion point W h spatial distribution model.

[0009] Optionally, in step S2, the ideal bomb drop point in the target coordinate system is The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the calculation formula of the correlation coefficient ρ of the ideal bomb drop point coordinates in the target coordinate system is:

[0010]

[0011] Optionally, in step S3, when the actual explosion height of the bomb is determined, the specific process of determining the spatial distribution model of the bomb explosion point includes:

[0012] Step S31, obtaining the angle γ between the projection of the bomb velocity vector at the explosion point on the horizontal plane where the binding explosion height is located and the x-axis of the target coordinate system, and the angle θ between the bomb velocity vector and the horizontal plane where the binding explosion height is located;

[0013] Step S32: Based on the actual explosion height h of the bomb and the binding explosion height h t The difference Δh is calculated based on the angle γ between the projection of the bomb velocity vector at the explosion point on the horizontal plane where the binding burst height is located and the x-axis of the target coordinate system, as well as the angle θ between the bomb velocity vector and the horizontal plane where the binding burst height is located. t location information;

[0014]

[0015] in, Aiming point Coordinates in the target coordinate system;

[0016] Step S33, based on the equivalent aiming point X t , according to the ideal bomb drop point in the target coordinate system The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal landing point coordinates in the target coordinate system, determine the bomb explosion point W when the actual explosion height h of the bomb is determined h Spatial distribution model

[0017]

[0018] Among them, (x t ,y t ) is the equivalent aiming point X t Coordinate in the target coordinate system; X h is the actual landing point of the bomb in the target coordinate system, and its coordinates in the target coordinate system are (x h ,y h ).

[0019] Optionally, in step S3, when the actual explosion height of the bomb is uncertain, the specific process of determining the spatial distribution model of the bomb explosion point includes:

[0020] S34, based on the spatial distribution model of the bomb explosion point when the actual explosion height h is determined and the probability distribution model of the actual explosion height, determine the bomb explosion point W when the actual explosion height h is not determined h Spatial distribution model

[0021]

[0022] Among them, σ h The standard deviation is extremely high.

[0023] Optionally, in step S3, when the actual explosion height of the bomb is uncertain, but it can be determined that the sensitivity of the explosion effect function and the damage function to the explosion height are both less than a preset sensitivity, the specific method of determining the spatial distribution model of the bomb explosion point further includes:

[0024] Based on the spatial distribution model of bomb explosion points with irregular actual explosion height, the marginal probability density distribution model of bomb landing points is determined. As the bomb explosion point W h Spatial distribution model of

[0025]

[0026] A second aspect of the present invention discloses a system for constructing a spatial distribution model of air-burst bomb explosion points, the system comprising:

[0027] The first processing module is configured to establish a delivery coordinate system and a target coordinate system, respectively; wherein the delivery coordinate system has the aiming point as its origin, and determines the bomb delivery direction L and the direction H perpendicular to the delivery direction L as the vertical axis and horizontal axis of the delivery coordinate system respectively; the target coordinate system has the center of the target area as its origin, and the x-axis and y-axis point to the east and north respectively;

[0028] The second processing module is configured to determine the latitude β of the bomb delivery direction L relative to the x-axis of the target coordinate system, and then calculate the vertical standard deviation σ of the bomb landing point in the delivery coordinate system based on the vertical standard deviation σ of the bomb landing point in the delivery coordinate system. L , longitudinal system deviation μ L , horizontal standard deviation σ H and the lateral system deviation μ H , determine the ideal bomb drop point in the target coordinate system The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal bomb drop point coordinates in the target coordinate system;

[0029] The third processing module is configured to use the ideal bomb drop point in the target coordinate system according to the actual explosion height condition. The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal landing point coordinates in the target coordinate system, determine the bomb explosion point W h spatial distribution model.

[0030] Optionally, the second processing module includes:

[0031] The first acquisition submodule is used to obtain the latitude β of the bomb delivery direction L relative to the x-axis of the target coordinate system, and the longitudinal standard deviation σ of the bomb landing point in the delivery coordinate system. L , longitudinal system deviation μ L , horizontal standard deviation σ H and lateral system deviation μ H ;

[0032] The first processing submodule is used to use the latitude β of the bomb delivery direction L relative to the x-axis of the target coordinate system and the longitudinal standard deviation σ of the bomb landing point in the delivery coordinate system L, longitudinal system deviation μ L , horizontal standard deviation σ H and lateral system deviation μ H , determine the ideal bomb drop point in the target coordinate system The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal bomb drop point coordinates in the target coordinate system; where,

[0033]

[0034] Optionally, when the actual explosion height of the bomb is determined, the third processing module includes:

[0035] The second acquisition submodule is used to obtain the angle γ between the projection of the bomb velocity vector at the explosion point on the horizontal plane of the binding blast height and the x-axis of the target coordinate system, and the angle θ between the bomb velocity vector and the horizontal plane where the binding blast height is located;

[0036] The first calculation submodule is used to calculate the bomb based on the actual explosion height h and the binding explosion height h t The difference Δh is calculated based on the angle γ between the projection of the bomb velocity vector at the explosion point on the horizontal plane where the binding burst height is located and the x-axis of the target coordinate system, as well as the angle θ between the bomb velocity vector and the horizontal plane where the binding burst height is located. t location information;

[0037]

[0038] in, Aiming point Coordinates in the target coordinate system;

[0039] The second processing submodule is used to process the target based on the equivalent aiming point X. t , according to the ideal bomb drop point in the target coordinate system The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal landing point coordinates in the target coordinate system, determine the bomb explosion point W when the actual explosion height h of the bomb is determined h Spatial distribution model

[0040]

[0041] Among them, (x t,y t ) is the equivalent aiming point X t Coordinate in the target coordinate system; X h is the actual landing point of the bomb in the target coordinate system, and its coordinates in the target coordinate system are (x h ,y h ).

[0042] Optionally, when the actual explosion height of the bomb is uncertain, the third processing module includes:

[0043] The third processing submodule is used to determine the bomb explosion point W when the actual explosion height h is determined based on the spatial distribution model of the bomb explosion point and the probability distribution model of the actual explosion height. h Spatial distribution model

[0044]

[0045] Among them, σ h The standard deviation is extremely high.

[0046] Optionally, when the actual explosion height of the bomb is uncertain, but it can be determined that the sensitivity of the explosion effect function and the damage function to the explosion height are both less than a preset sensitivity, the third processing module further includes:

[0047] The fourth processing submodule is used to determine the edge probability density distribution model of the bomb landing point based on the spatial distribution model of the bomb explosion point with irregular actual explosion height. As the bomb explosion point W h Spatial distribution model of

[0048]

[0049] In summary, the solution proposed by the present invention has the following technical effects: the present invention establishes the actual explosion height of the bomb and the untimed explosion point W of the bomb. h The spatial distribution model of the explosion point of the air-burst bomb was established, and a two-dimensional edge probability distribution model of the explosion point of the air-burst bomb was established. This solved the coordinate transformation problem of the probability distribution model of different bombs when multiple bombs acted together. The three-dimensional spatial distribution model of the explosion point of the air-burst bomb was theoretically improved, and the model error problem introduced by ignoring the correlation between the explosion height and the landing point was solved. BRIEF DESCRIPTION OF THE DRAWINGS

[0050] In order to more clearly illustrate the specific embodiments of the present invention or the technical solutions in the prior art, the following briefly introduces the drawings required for use in the specific embodiments or the description of the prior art. Obviously, the drawings described below are some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying any creative work.

[0051] Figure 1 Flowchart of a method according to an embodiment of the present invention. DETAILED DESCRIPTION

[0052] To make the objectives, technical solutions, and advantages of the embodiments of the present invention more clear, the technical solutions in the embodiments of the present invention will be clearly and completely described below in conjunction with the accompanying drawings of the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without making creative efforts shall fall within the scope of protection of the present invention.

[0053] The first aspect of the present invention discloses a method for constructing a spatial distribution model of explosion points of air-burst bombs, see Figure 1 , the method comprising:

[0054] Step S1: Establish a delivery coordinate system and a target coordinate system. The delivery coordinate system uses the aiming point as its origin, and defines the bomb delivery direction L (longitudinal) and the direction H (horizontal) perpendicular to the delivery direction L as the vertical and horizontal axes of the delivery coordinate system, respectively. The bomb impact point coordinates in the delivery coordinate system are independent and conform to a normal distribution. When considering a multi-bomb joint strike, establishing a unified target coordinate system facilitates calculations. The origin and coordinate axis directions of the target coordinate system can be arbitrarily selected. Optionally, the target coordinate system uses the center of the target area as its origin, with the x-axis and y-axis pointing east and north, respectively. Unless otherwise specified, the following description will be based on the target coordinate system.

[0055] Step S2: determine the angle β between the bomb delivery direction L and the x-axis of the target coordinate system, and then calculate the vertical standard deviation σ of the bomb landing point in the delivery coordinate system. L , longitudinal system deviation μ L , horizontal standard deviation σ H and the lateral system deviation μ H , calculate the ideal bomb drop point in the target coordinate system The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal bomb drop point coordinates in the target coordinate system;

[0056] The angle of the bomb delivery direction L relative to the x-axis of the target coordinate system is β, and the coordinates of the aiming point in the target coordinate system are Assuming that the burst height error is not considered, the bomb will fall near the aiming point on the horizontal plane where the burst height is set. This landing point is defined as the ideal landing point. It obeys the normal distribution, and its probability density is:

[0057]

[0058] Optionally, in step S2, the ideal bomb drop point in the target coordinate system is The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the calculation formula of the correlation coefficient ρ of the ideal bomb drop point coordinates in the target coordinate system is:

[0059]

[0060] Step S3: according to the actual blast height condition, the ideal bomb drop point in the target coordinate system is used The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal landing point coordinates in the target coordinate system, determine the bomb explosion point W h spatial distribution model.

[0061] Optionally, in step S3, when the actual explosion height of the bomb is determined, the specific process of determining the spatial distribution model of the bomb explosion point includes:

[0062] Step S31 defines the bomb impact point on the horizontal plane of the actual burst height as the actual impact point. It is known that there is a difference between the actual impact point and the ideal impact point. Assuming the bomb is flying in a nearly straight line near the bound burst height, the angle γ between the projection of the bomb velocity vector at the explosion point on the horizontal plane of the bound burst height and the x-axis of the target coordinate system is obtained, as well as the angle θ between the bomb velocity vector and the horizontal plane of the bound burst height.

[0063] When analyzing certain problems, the actual explosion height of the bomb is a given value. Due to random factors in the delivery process, the actual explosion height h is relative to the binding explosion height h. t There will be a deviation Δh=hh t , at this time Δh is a fixed quantity.

[0064] Step S32: Based on the actual explosion height h of the bomb and the binding explosion height h t The difference Δh is calculated based on the angle γ between the projection of the bomb velocity vector at the explosion point on the horizontal plane where the binding burst height is located and the x-axis of the target coordinate system, as well as the angle θ between the bomb velocity vector and the horizontal plane where the binding burst height is located. t location information;

[0065]

[0066] Right now

[0067]

[0068] in, Aiming point Coordinates in the target coordinate system;

[0069] Step S33, based on the equivalent aiming point X t , according to the ideal bomb drop point in the target coordinate system The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal landing point coordinates in the target coordinate system, determine the bomb explosion point W when the actual explosion height h of the bomb is determined h (X h , h) spatial distribution model

[0070] Among them, (x t ,y t ) is the equivalent aiming point X t Coordinate in the target coordinate system; X h is the actual landing point of the bomb in the target coordinate system, and its coordinates in the target coordinate system are (x h ,y h ).

[0071] Optionally, in step S3, when the actual explosion height of the bomb is uncertain, the specific process of determining the spatial distribution model of the bomb explosion point includes:

[0072] Assume that the target is at an altitude of h T On the same horizontal plane, in one embodiment, it is assumed that h T = 0. The actual blast height and binding blast height of the delivered bomb are respectively represented by h and h t Considering only the explosion effect of the bomb above the target, it is assumed that the system deviation in the height direction μ h = 0. The actual explosion height h of the bomb is a normally distributed random quantity, and its probability distribution model is

[0073]

[0074] Among them, σ h The standard deviation is high;

[0075] The actual explosion height of the bomb is an unknown random quantity, so the bomb explosion point W h is a three-dimensional random variable, and the joint probability density is According to probability theory, assuming h is known, the actual landing point of the bomb is X h The conditional probability density can be expressed as:

[0076]

[0077] Among them, f h (h) is the probability distribution model of burst height;

[0078] S34, based on the spatial distribution model of the bomb explosion point when the actual explosion height h is determined and the probability distribution model of the actual explosion height, determine the bomb explosion point W when the actual explosion height h is not determined h Spatial distribution model

[0079]

[0080] After finishing, we can get:

[0081]

[0082] Among them, σ h The standard deviation is extremely high.

[0083] Optionally, in step S3, when the actual explosion height of the bomb is uncertain, but it can be determined that the sensitivity of the explosion effect function and the damage function to the explosion height are both less than a preset sensitivity, the specific method of determining the spatial distribution model of the bomb explosion point further includes:

[0084] Based on the spatial distribution model of bomb explosion points with irregular actual explosion height, the marginal probability density distribution model of bomb landing points is determined. As the bomb explosion point W h Spatial distribution model of

[0085]

[0086] After finishing, we can get:

[0087]

[0088] are the equivalent system deviations of the actual bomb landing point along the x-axis and y-axis of the target coordinate system respectively; is the equivalent correlation coefficient of the actual bomb impact point coordinates in the target coordinate system; are all intermediate variables. That is:

[0089]

[0090] In summary, the present invention constructs a spatial distribution model of explosion points during guided bomb airburst, which can be used to support the target damage effect evaluation. The corresponding model can be selected and applied according to the problem conditions: for some problems where the actual explosion height is a determining condition, the explosion point spatial distribution model determined by formula (1) can be selected; for the general case where the actual explosion height is uncertain, the explosion point spatial distribution model determined by formula (2) can be selected; for some special cases where the explosion height is uncertain but the explosion effect function and the damage function are not sensitive to the explosion height, the reduced-order model determined by formula (3) can be used instead of the actual spatial distribution model (2).

[0091] A second aspect of the present invention discloses a system for constructing a spatial distribution model of air-burst bomb explosion points, the system comprising:

[0092] The first processing module is configured to establish a delivery coordinate system and a target coordinate system, respectively; wherein the delivery coordinate system has the aiming point as its origin, and determines the bomb delivery direction L and the direction H perpendicular to the delivery direction L as the vertical axis and horizontal axis of the delivery coordinate system respectively; the target coordinate system has the center of the target area as its origin, and the x-axis and y-axis point to the east and north respectively;

[0093] The second processing module is configured to determine the latitude β of the bomb delivery direction L relative to the x-axis of the target coordinate system, and then calculate the vertical standard deviation σ of the bomb landing point in the delivery coordinate system based on the vertical standard deviation σ of the bomb landing point in the delivery coordinate system. L , longitudinal system deviation μ L , horizontal standard deviation σ H and the lateral system deviation μ H , determine the ideal bomb drop point in the target coordinate system The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal bomb drop point coordinates in the target coordinate system;

[0094] The third processing module is configured to use the ideal bomb drop point in the target coordinate system according to the actual explosion height condition. The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal landing point coordinates in the target coordinate system, determine the bomb explosion point W h spatial distribution model.

[0095] Optionally, the second processing module includes:

[0096] The first acquisition submodule is used to obtain the latitude β of the bomb delivery direction L relative to the x-axis of the target coordinate system, and the longitudinal standard deviation σ of the bomb landing point in the delivery coordinate system. L , longitudinal system deviation μ L , horizontal standard deviation σ H and lateral system deviation μ H ;

[0097] The first processing submodule is used to use the latitude β of the bomb delivery direction L relative to the x-axis of the target coordinate system and the longitudinal standard deviation σ of the bomb landing point in the delivery coordinate system L , longitudinal system deviation μ L , horizontal standard deviation σ H and lateral system deviation μ H , determine the ideal bomb drop point in the target coordinate system The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal bomb drop point coordinates in the target coordinate system; where,

[0098]

[0099] Optionally, when the actual explosion height of the bomb is determined, the third processing module includes:

[0100] The second acquisition submodule is used to obtain the angle γ between the projection of the bomb velocity vector at the explosion point on the horizontal plane of the binding blast height and the x-axis of the target coordinate system, and the angle θ between the bomb velocity vector and the horizontal plane where the binding blast height is located;

[0101] The first calculation submodule is used to calculate the bomb based on the actual explosion height h and the binding explosion height h t The difference Δh is calculated based on the angle γ between the projection of the bomb velocity vector at the explosion point on the horizontal plane where the binding burst height is located and the x-axis of the target coordinate system, as well as the angle θ between the bomb velocity vector and the horizontal plane where the binding burst height is located. t location information;

[0102]

[0103] in, Aiming point Coordinates in the target coordinate system;

[0104] The second processing submodule is used to process the target based on the equivalent aiming point X. t , according to the ideal bomb drop point in the target coordinate system The standard deviation σ in the x-axis direction x, system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal landing point coordinates in the target coordinate system, determine the bomb explosion point W when the actual explosion height h of the bomb is determined h Spatial distribution model

[0105]

[0106] Among them, (x t ,y t ) is the equivalent aiming point X t Coordinate in the target coordinate system; X h is the actual landing point of the bomb in the target coordinate system, and its coordinates in the target coordinate system are (x h ,y h ).

[0107] Optionally, when the actual explosion height of the bomb is uncertain, the third processing module includes:

[0108] The third processing submodule is used to determine the bomb explosion point W when the actual explosion height h is determined based on the spatial distribution model of the bomb explosion point and the probability distribution model of the actual explosion height. h Spatial distribution model

[0109]

[0110] Among them, σ h The standard deviation is extremely high.

[0111] Optionally, when the actual explosion height of the bomb is uncertain, but it can be determined that the sensitivity of the explosion effect function and the damage function to the explosion height are both less than a preset sensitivity, the third processing module further includes:

[0112] The fourth processing submodule is used to determine the edge probability density distribution model of the bomb landing point based on the spatial distribution model of the bomb explosion point with irregular actual explosion height. As the bomb explosion point W h Spatial distribution model of

[0113]

[0114] In summary, the solution proposed in the present invention has the following technical effects: the present invention establishes a three-dimensional joint probability distribution model of the explosion point of air-burst bombs, and establishes a two-dimensional edge probability distribution model of the explosion point of air-burst bombs, which solves the coordinate transformation problem of the probability distribution models of different bombs when multiple bombs act together, theoretically improves the three-dimensional spatial distribution model of the explosion point of air-burst bombs, and solves the model error problem introduced by ignoring the correlation between the explosion height and the landing point.

[0115] The above embodiments are intended only to illustrate the technical solutions of the present invention and are not intended to limit the same. Although the present invention has been described in detail with reference to the above embodiments, those skilled in the art should understand that the technical solutions described in the above embodiments may be modified or some or all of the technical features thereof may be replaced with equivalents, and such modifications or replacements do not deviate from the essence of the corresponding technical solutions within the scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for constructing a spatial distribution model of air-burst bomb explosion points, characterized in that: The method comprises: Step S1: Establish a delivery coordinate system and a target coordinate system. The delivery coordinate system takes the aiming point as its origin, and defines the bomb delivery direction L and the direction H perpendicular to the delivery direction L as the vertical and horizontal axes of the delivery coordinate system. The target coordinate system takes the center of the target area as its origin, with the x-axis and y-axis pointing east and north, respectively. Step S2: determine the angle β between the bomb delivery direction L and the x-axis of the target coordinate system, and then calculate the vertical standard deviation σ of the bomb landing point in the delivery coordinate system. L , longitudinal system deviation μ L , horizontal standard deviation σ H and the lateral system deviation μ H , calculate the ideal bomb drop point in the target coordinate system The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal bomb drop point coordinates in the target coordinate system; Step S3: according to the actual blast height condition, the ideal bomb drop point in the target coordinate system is used The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal landing point coordinates in the target coordinate system, determine the bomb explosion point W h spatial distribution model.

2. The method according to claim 1, characterized in that In step S2, the ideal bomb drop point in the target coordinate system is The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the calculation formula of the correlation coefficient ρ of the ideal bomb drop point coordinates in the target coordinate system is:

3. The method according to claim 1, characterized in that In step S3, when the actual explosion height of the bomb is determined, the bomb explosion point W is determined. h The specific process of the spatial distribution model includes: Step S31, obtaining the angle γ between the projection of the bomb velocity vector at the explosion point on the horizontal plane where the binding explosion height is located and the x-axis of the target coordinate system, and the angle θ between the bomb velocity vector and the horizontal plane where the binding explosion height is located; Step S32: Based on the actual explosion height h of the bomb and the binding explosion height h t The difference Δh is calculated based on the angle γ between the projection of the bomb velocity vector at the explosion point on the horizontal plane where the binding burst height is located and the x-axis of the target coordinate system, as well as the angle θ between the bomb velocity vector and the horizontal plane where the binding burst height is located. t location information; in, Aiming point Coordinates in the target coordinate system; Step S33, based on the equivalent aiming point X t , according to the ideal bomb drop point in the target coordinate system The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal landing point coordinates in the target coordinate system, determine the bomb explosion point W when the actual explosion height h of the bomb is determined h Spatial distribution model Among them, (x t ,y t ) is the equivalent aiming point X t Coordinate in the target coordinate system; X h is the actual landing point of the bomb in the target coordinate system, and its coordinates in the target coordinate system are (x h ,y h ).

4. The method according to claim 3, characterized in that In the step S3, when the actual explosion height of the bomb is uncertain, the bomb explosion point W is determined. h The specific process of the spatial distribution model includes: S34, based on the spatial distribution model of the bomb explosion point when the actual explosion height h is determined and the probability distribution model of the actual explosion height, determine the bomb explosion point W when the actual explosion height h is not determined h Spatial distribution model Among them, σ h The standard deviation is extremely high.

5. The method according to claim 4, characterized in that In step S3, when the actual explosion height of the bomb is uncertain, but it can be determined that the sensitivity of the explosion effect function and the damage function to the explosion height is less than the preset sensitivity, the bomb explosion point W is determined. h The specific methods of the spatial distribution model also include: The bomb explosion point W based on the actual explosion height and irregular time h The spatial distribution model of the bomb drop point is used to determine the marginal probability density distribution model. As the bomb explosion point W h spatial distribution model of 6. A system for constructing a spatial distribution model of air-burst bomb explosion points, characterized in that: The system comprises: The first processing module is configured to establish a delivery coordinate system and a target coordinate system, respectively; wherein the delivery coordinate system has the aiming point as its origin, and determines the bomb delivery direction L and the direction H perpendicular to the delivery direction L as the vertical axis and horizontal axis of the delivery coordinate system respectively; the target coordinate system has the center of the target area as its origin, and the x-axis and y-axis point to the east and north respectively; The second processing module is configured to determine the latitude β of the bomb delivery direction L relative to the x-axis of the target coordinate system, and then calculate the vertical standard deviation σ of the bomb landing point in the delivery coordinate system based on the vertical standard deviation σ of the bomb landing point in the delivery coordinate system. L , longitudinal system deviation μ L , horizontal standard deviation σ H and the lateral system deviation μ H , determine the ideal bomb drop point in the target coordinate system The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal bomb drop point coordinates in the target coordinate system; The third processing module is configured to use the ideal bomb drop point in the target coordinate system according to the actual explosion height condition. The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal landing point coordinates in the target coordinate system, determine the bomb explosion point W h spatial distribution model.

7. The system according to claim 6, characterized in that The second processing module includes: The first acquisition submodule is used to obtain the latitude β of the bomb delivery direction L relative to the x-axis of the target coordinate system, and the longitudinal standard deviation σ of the bomb landing point in the delivery coordinate system. L , longitudinal system deviation μ L , horizontal standard deviation σ H and lateral system deviation μ H ; The first processing submodule is used to use the latitude β of the bomb delivery direction L relative to the x-axis of the target coordinate system and the longitudinal standard deviation σ of the bomb landing point in the delivery coordinate system L , longitudinal system deviation μ L , horizontal standard deviation σ H and lateral system deviation μ H , determine the ideal bomb drop point in the target coordinate system The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal bomb drop point coordinates in the target coordinate system; where, 8. The system according to claim 6, wherein: When the actual explosion height of the bomb is determined, the third processing module includes: The second acquisition submodule is used to obtain the angle γ between the projection of the bomb velocity vector at the explosion point on the horizontal plane where the binding burst height is located and the x-axis of the target coordinate system, and the angle θ between the bomb velocity vector and the horizontal plane where the binding burst height is located; The first calculation submodule is used to calculate the bomb based on the actual explosion height h and the binding explosion height h t The difference Δh is calculated based on the angle γ between the projection of the bomb velocity vector at the explosion point on the horizontal plane where the binding burst height is located and the x-axis of the target coordinate system, as well as the angle θ between the bomb velocity vector and the horizontal plane where the binding burst height is located. t location information; in, Aiming point Coordinates in the target coordinate system; The second processing submodule is used to process the target based on the equivalent aiming point X. t , according to the ideal bomb drop point in the target coordinate system The standard deviation σ in the x-axis direction x , system deviation μ in the x-axis direction x , standard deviation σ in the y-axis direction y , system deviation μ in the y-axis direction y And the correlation coefficient ρ of the ideal landing point coordinates in the target coordinate system, determine the bomb explosion point W when the actual explosion height h of the bomb is determined h Spatial distribution model Among them, (x t ,y t ) is the equivalent aiming point X t Coordinate in the target coordinate system; X h is the actual landing point of the bomb in the target coordinate system, and its coordinates in the target coordinate system are (x h ,y h ).

9. The system according to claim 8, characterized in that When the actual explosion height of the bomb is uncertain, the third processing module includes: The third processing submodule is used to determine the bomb explosion point W based on the actual explosion height h of the bomb. h The spatial distribution model of the actual explosion height and the probability distribution model of the actual explosion height are used to determine the explosion point W of the bomb at an irregular time. h Spatial distribution model Among them, σ h The standard deviation is extremely high.

10. The system according to claim 9, characterized in that When the actual explosion height of the bomb is uncertain, but it can be determined that the sensitivity of the explosion effect function and the damage function to the explosion height are both less than the preset sensitivity, the third processing module further includes: The fourth processing submodule is used to calculate the bomb explosion point W based on the actual explosion height. h The spatial distribution model of the bomb drop point is used to determine the marginal probability density distribution model. As the bomb explosion point W h spatial distribution model of

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