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ARTICLE

Analytic Initial Relative Orbit Solution for Angles-Only Space Rendezvous Using Hybrid Dynamics Method

by Baichun Gong, Shuang Li, Lili Zheng, Jinglang Feng

1 Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, China.
2 Beijing Institute of Aerospace System Engineering, Beijing, 100076, China.
3 University of Strathclyde, Glasgow, G11XQ, Scotland.

* Corresponding Author: Shuang Li. Email: .

(This article belongs to the Special Issue: Nonlinear Computational and Control Methods in Aerospace Engineering)

Computer Modeling in Engineering & Sciences 2020, 122(1), 221-234. https://doi.org/10.32604/cmes.2020.07769

Received 26 June 2019; Accepted 03 August 2019; Issue published 01 January 2020

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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