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Chaos polynomial based method for acquiring uncertainty of planetary atmosphere entering states

A technology of chaotic polynomial and acquisition method, which is applied in the field of acquisition of uncertainty of planetary atmosphere entry state, can solve the problem of low versatility

Inactive Publication Date: 2013-02-13
BEIJING INSTITUTE OF TECHNOLOGYGY
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Problems solved by technology

However, this formula is a partial differential equation, and there is almost no analytical solution. It must be solved by numerical solution, which has great limitations and low versatility.

Method used

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  • Chaos polynomial based method for acquiring uncertainty of planetary atmosphere entering states
  • Chaos polynomial based method for acquiring uncertainty of planetary atmosphere entering states
  • Chaos polynomial based method for acquiring uncertainty of planetary atmosphere entering states

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Embodiment Construction

[0058] In order to better illustrate the purpose and advantages of the present invention, the content of the present invention will be further described below in conjunction with the accompanying drawings and examples.

[0059] This example is aimed at the stochastic dynamical system of planetary atmosphere entry, considering the initial entry state and system parameter uncertainty, and determining the change process of the uncertainty of the planetary atmosphere entry state. The specific implementation process of the inventive method is as follows:

[0060] 1. Establish a dynamic model of planetary atmosphere entry

[0061] A 6-DOF dynamic equation is established in the planetary inertial coordinate system, considering the aerodynamic force, gravity and the Coriolis force due to the planetary rotation. The state and system parameters of the probe entering the dynamical system are respectively:

[0062]

[0063] a=[g, ρ, C L ,C D ] T

[0064] Where r is the distance fr...

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Abstract

The invention relates to a chaos polynomial based method for acquiring uncertainty of planetary atmosphere entering states and belongs to the technical field of space technologies. The method includes firstly, establishing a dynamical model of a planetary atmosphere entering system, then, using a chaos polynomial to approximate the dynamical model, using a random allocation method to convert a dynamical equation of the planetary atmosphere entering system to a differential equation set of chaos polynomial coefficients, solving a differential equation to obtain a chaos polynomial coefficient of each moment, and using an entering state variance or covariance of a detector to represent the uncertainty of the planetary atmosphere entering states so as to calculate statistical information of uncertainty of planetary atmosphere entering state trajectories. According to the method, by means of once integrated polynomial coefficients, change laws of the uncertainty of the planetary atmosphere entering states can be solved, so that calculated amount and calculation time are reduced, and the uncertainty of the planetary atmosphere entering states can be comprehensively acquired.

Description

technical field [0001] The invention relates to a method for obtaining the uncertainty of planetary atmosphere entry state based on chaotic polynomials, and belongs to the field of space technology. Background technique [0002] The traditional planetary atmosphere entry dynamics analysis is mainly aimed at the deterministic system. The nominal value is obtained through the analysis of the initial state and dynamic parameters, and the nominal state trajectory is calculated, and then the entry dynamics system is analyzed according to the characteristics of the nominal state trajectory. analyze. However, the initial state and system parameters of the actual planetary atmosphere entry dynamical system are often difficult to accurately determine, and there are large uncertainties in the entry state trajectory, so the traditional research methods for deterministic systems are difficult to describe the real planetary atmosphere entry dynamical system characteristics, there are gr...

Claims

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Application Information

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IPC IPC(8): G06F19/00
Inventor 崔平远朱圣英于正湜徐瑞高艾
Owner BEIJING INSTITUTE OF TECHNOLOGYGY
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