Analytic initial relative orbit solution for angles-only space rendezvous using hybrid dynamics method

Gong, Baichun and Li, Shuang and Zheng, Lili and Feng, Jinglang (2020) Analytic initial relative orbit solution for angles-only space rendezvous using hybrid dynamics method. CMES - Computer Modeling in Engineering and Sciences, 122 (1). pp. 221-234. ISSN 1526-1506 (https://doi.org/10.32604/cmes.2020.07769)

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Abstract

A closed-form solution to the angles-only initial relative orbit determination (IROD) problem for space rendezvous with non-cooperated target is developed, where a method of hybrid dynamics with the concept of virtual formation is introduced to analytically solve the problem. Emphasis is placed on developing the solution based on hybrid dynamics (i.e., Clohessy-Wiltshire equations and two-body dynamics), obtaining formation geometries that produce relative orbit state observability, and deriving the approximate analytic error covariance for the IROD solution. A standard Monte Carlo simulation system based on two-body dynamics is used to verify the feasibility and evaluate the performance proposed algorithms. The sensitivity of the solution accuracy to the formation geometry, observation numbers is presented and discussed.

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