Unlock instant, AI-driven research and patent intelligence for your innovation.

Gaussian mixture covariance evolution collision probability calculation method and system

A Gaussian mixture probability and Gaussian mixture technology, which is applied in the aerospace field to achieve the effect of improving calculation accuracy

Active Publication Date: 2021-09-03
NAT SPACE SCI CENT CAS
View PDF8 Cites 1 Cited by
  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

In fact, when the initial orbit uncertainty is large or the orbit forecast period is long, the predicted orbit covariance will no longer obey the Gaussian distribution

Method used

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
View more

Image

Smart Image Click on the blue labels to locate them in the text.
Viewing Examples
Smart Image
  • Gaussian mixture covariance evolution collision probability calculation method and system
  • Gaussian mixture covariance evolution collision probability calculation method and system
  • Gaussian mixture covariance evolution collision probability calculation method and system

Examples

Experimental program
Comparison scheme
Effect test

Embodiment 1

[0065] Such as figure 1 As shown, Embodiment 1 of the present invention proposes a collision probability calculation method of Gaussian mixture covariance evolution, and its specific steps include:

[0066] Step 1: Approximate the nonlinear probability density function by weighted summation of finite Gaussian probability density functions, and the weighted values ​​of different Gaussian units are determined by numerical optimization method. The Gaussian mixture probability density function is expressed as:

[0067]

[0068] where N is the total number of Gaussian probability density unit functions, α i is a weighted value that satisfies:

[0069]

[0070] The error of the nonlinear system is quantified by evolving the mean and covariance of each term in the Gaussian mixture function. Gaussian mixtures are used in combination with other error propagation methods, and the evolution of the mean and covariance is achieved by the UT transformation method.

[0071] Specifi...

Embodiment 2

[0126] Embodiment 2 of the present invention proposes a collision probability calculation system of Gaussian mixture covariance evolution, and the specific processing is the same as the method of embodiment 1. The system includes: Gaussian mixture orbit covariance fitting module, covariance evolution module and Collision probability calculation module; where,

[0127] The Gaussian mixture method orbit covariance fitting module is used to perform initial orbit covariance fitting based on the Gaussian mixture algorithm for the two space objects to be predicted respectively, and obtain the Gaussian mixture probability density function of each space object with respect to the Gaussian unit;

[0128] The covariance evolution module is used to perform covariance evolution on each Gaussian unit to obtain the orbit evolution error distribution represented by the corresponding Gaussian mixture;

[0129] The collision probability calculation module is used to calculate the collision pro...

Embodiment 3

[0131] A computer device includes a memory, a processor, and a computer program stored on the memory and operable on the processor, and the method of Embodiment 1 is implemented when the processor executes the computer program.

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

PUM

No PUM Login to View More

Abstract

The invention belongs to the technical field of spaceflight, and relates to a Gaussian mixture covariance evolution collision probability calculation method and system, and the method comprises the steps of carrying out the initial orbit covariance fitting of two to-be-predicted space objects based on a Gaussian mixture algorithm, and obtaining a Gaussian mixture probability density function of each space object with respect to a Gaussian unit; performing covariance evolution on each Gaussian unit to obtain orbit evolution error distribution represented by corresponding Gaussian mixture; and for orbit evolution error distribution represented by Gaussian mixture, calculating collision probabilities through mutual calculation between Gaussian units, and performing weighted summation to obtain a total collision probability. Compared with the prior art, no matter whether the orbit uncertainty is in Gaussian distribution or non-Gaussian distribution, the collision probability calculation precision is improved by adopting the method provided by the invention.

Description

technical field [0001] The invention belongs to the field of aerospace technology, and relates to a collision probability calculation method and system of Gaussian mixture covariance evolution. Background technique [0002] In the collision warning project, it is necessary to predict the closest time of two space objects in the next few days, forecast the orbital state and covariance, and calculate the collision probability. Various collision probability calculation methods assume that the orbit error obeys a Gaussian distribution, so the linear method is generally used to predict the orbit covariance. This method uses a first-order linear approximation for the nonlinear orbit dynamic system, ignoring the influence of higher-order terms. In fact, when the initial orbit uncertainty is large or the orbit forecast period is long, the predicted orbit covariance will no longer obey the Gaussian distribution. Therefore, there is an urgent need for a calculation method for orbit c...

Claims

the structure of the environmentally friendly knitted fabric provided by the present invention; figure 2 Flow chart of the yarn wrapping machine for environmentally friendly knitted fabrics and storage devices; image 3 Is the parameter map of the yarn covering machine
Login to View More

Application Information

Patent Timeline
no application Login to View More
IPC IPC(8): G06F30/20G06F17/13G06F17/15G06F17/16G06F17/18G06F111/10G06F111/08
CPCG06F30/20G06F17/13G06F17/15G06F17/16G06F17/18G06F2111/10G06F2111/08
Inventor 闫瑞东龚建村罗冰显刘四清王荣兰师立勤
Owner NAT SPACE SCI CENT CAS