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

Baichun Gong1, Shuang Li1, *, Lili Zheng2, Jinglang Feng3

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 this Special Issue: Nonlinear Computational and Control Methods in Aerospace Engineering)

Computer Modeling in Engineering & Sciences 2020, 122(1), 221-234.


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.


Cite This Article

Gong, B., Li, S., Zheng, L., Feng, J. (2020). Analytic Initial Relative Orbit Solution for Angles-Only Space Rendezvous Using Hybrid Dynamics Method. CMES-Computer Modeling in Engineering & Sciences, 122(1), 221–234.


This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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