### 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.

Original language | English |
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Pages (from-to) | 221-234 |

Number of pages | 14 |

Journal | CMES - Computer Modeling in Engineering and Sciences |

Volume | 122 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1 Jan 2020 |

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### Keywords

- angles-only measurement
- covariance analysis
- relative orbit determination
- space rendezvous

### Cite this

*CMES - Computer Modeling in Engineering and Sciences*,

*122*(1), 221-234. https://doi.org/10.32604/cmes.2020.07769

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*CMES - Computer Modeling in Engineering and Sciences*, vol. 122, no. 1, pp. 221-234. https://doi.org/10.32604/cmes.2020.07769

**Analytic initial relative orbit solution for angles-only space rendezvous using hybrid dynamics method.** / Gong, Baichun; Li, Shuang; Zheng, Lili; Feng, Jinglang.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Analytic initial relative orbit solution for angles-only space rendezvous using hybrid dynamics method

AU - Gong, Baichun

AU - Li, Shuang

AU - Zheng, Lili

AU - Feng, Jinglang

PY - 2020/1/1

Y1 - 2020/1/1

N2 - 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.

AB - 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.

KW - angles-only measurement

KW - covariance analysis

KW - relative orbit determination

KW - space rendezvous

UR - http://www.scopus.com/inward/record.url?scp=85078514684&partnerID=8YFLogxK

U2 - 10.32604/cmes.2020.07769

DO - 10.32604/cmes.2020.07769

M3 - Article

AN - SCOPUS:85078514684

VL - 122

SP - 221

EP - 234

IS - 1

ER -