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An analytical method for analyzing satellite nonlinear relative motion bias propagation

A technology of relative motion and analysis method, applied in non-electric variable control, vehicle position/route/altitude control, instruments and other directions, which can solve problems such as large amount of calculation and unsuitable satellite formation flight missions.

Active Publication Date: 2020-03-27
NAT UNIV OF DEFENSE TECH
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, most of these methods are aimed at the propagation of the satellite's absolute state deviation, and require a certain amount of orbital integration, and still have a large amount of calculation, which is not suitable for satellite formation missions

Method used

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  • An analytical method for analyzing satellite nonlinear relative motion bias propagation
  • An analytical method for analyzing satellite nonlinear relative motion bias propagation
  • An analytical method for analyzing satellite nonlinear relative motion bias propagation

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Experimental program
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Embodiment 1

[0057] Such as figure 1 As shown, the implementation steps of the satellite nonlinear relative motion deviation propagation analysis method analyzed in this embodiment include:

[0058] 1) Designate the main satellite and the slave satellite for the two satellites flying in formation, and input the absolute orbital state of the reference satellite at the initial moment, the nominal relative motion state of the two satellites, and input the probability density function of the deviation of the initial relative motion state;

[0059] 2) Based on the absolute orbit state of the reference satellite at the initial moment and the nominal relative motion state of the two satellites, according to the consideration J 2 The perturbed nonlinear relative motion equation is used to calculate the first-order and second-order state transition tensors used to analyze and predict the relative motion state of the satellite;

[0060] 3) Based on the first-order and second-order state transition ...

Embodiment 2

[0101] This embodiment is basically the same as Embodiment 1, and the main difference is: in this embodiment, the initial and terminal deviations in step 3) are both Gaussian distributions, so the calculation of step 6) is no longer performed, and only step 5) is required The mean value and covariance matrix of the nonlinear relative state deviation are analytically predicted, and the probability density function of the terminal deviation can be determined by its mean value and covariance matrix. This embodiment only needs to predict the mean value and covariance matrix of the relative state deviation, and does not need to use the Gaussian sum model to predict the probability density function. The method analysis and calculation efficiency are high, and the implementation is simple; the calculation efficiency is high. see Figure 4 The comparison of the forecast results of the shown terminal error mean and covariance matrix shows that the Gaussian sum model used in the method ...

Embodiment 3

[0103] This embodiment is basically the same as Embodiment 1, and its main difference is: in this embodiment, the calculation of step 2) is no longer carried out, and the calculation of (6) formula in step 3) The matrix directly uses the formula (1) in step 1) Matrix replacement. Because the satellite's absolute state deviation can be used as a relative state, the formula (1) can be used for forecasting, so this embodiment can be used to analytically predict the mean value, covariance matrix and probability density function of the satellite's absolute state deviation. This embodiment considers the J2 perturbation term and the second-order nonlinear term, and can be used for long-term, high-precision absolute state deviation propagation of a single spacecraft, and the method analysis and calculation efficiency are high.

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Abstract

The invention discloses a satellite non-linear relative movement deviation propagation analysis method. The method comprises steps that a main satellite and a secondary satellite are assigned, a reference satellite absolute track state at the initial time, a two-satellite nominal relative movement state and a probability density function of initial relative movement state deviation are inputted, first-order and second-order state transfer tensors used for analyzing and forecasting a satellite relative movement state and deviation are calculated according to a non-linear relative movement equation considering J2 perturbation, a covariance analysis method is utilized for Gauss distribution, an analytic result is further outputted, otherwise, Gauss and model calculation is utilized, and an analytic result is outputted. A J2 perturbation item and a second-order non-linear item are considered, the method can be utilized for long-time high-precision analysis forecast of relative movement state deviation of two distant satellites, the acquired deviation information can be used for formation satellite bump probability calculation and bump early warning, and the method further has properties of accurate and reasonable design, small method analysis computational complexity and good applicability to actual engineering tasks.

Description

technical field [0001] The invention relates to a spacecraft relative motion state deviation propagation analysis technology, in particular to an analytic satellite nonlinear relative motion deviation propagation analysis method. Background technique [0002] The spacecraft orbit deviation propagation analysis has important applications in various functional tasks of space situational awareness (such as target tracking and data association, collision warning, sensor guidance, maneuver detection, etc.). With the increasing number of space targets and limited observation equipment, most space targets cannot be continuously tracked. Therefore, long-term forecasts of their orbits and deviations are required to guide the next tracking or give early warning of possible collisions. [0003] In recent years, satellite formation flight has received extensive attention in both theoretical research and engineering practice, because many space missions can be completed at low cost and h...

Claims

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): G05D1/10
CPCG05D1/104
Inventor 罗亚中杨震张进祝海
Owner NAT UNIV OF DEFENSE TECH
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