Generalized Polynomial Chaos Based Uncertainty Propagation for Perturbed Two-body Orbits

被引:0
|
作者
Cai, Wei-wei [1 ]
Huang, Huan [1 ]
Yang, Le-ping [1 ]
机构
[1] Natl Univ Def Technol, Coll Aeronaut & Astronaut, Changsha 410073, Peoples R China
来源
2018 IEEE CSAA GUIDANCE, NAVIGATION AND CONTROL CONFERENCE (CGNCC) | 2018年
基金
湖南省自然科学基金;
关键词
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper presents a generalized polynomial chaos based computational methodology for the uncertainty propagation problem of the perturbed two-body orbits. The key idea is to approximate the solutions of the stochastic differential equation describing the perturbed orbits with linear expansions of a series of orthogonal polynomial bases. The main uncertainty sources in the dynamical equations were firstly analyzed, and then the non-intrusive generalized polynomial chaos technique was introduced to propagate the uncertainties for the consideration of estimation accuracy and computational efficiency. Numerical simulation results validate that the proposed algorithm is effective for non-Gaussian uncertainty analysis of nonlinear systems over a long duration, providing references for engineering applications.
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页数:6
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