Periodic and quasi-periodic satellite relative orbits at critical inclination

Guangyan Xu; Danwei Wang; Kee Poh Eng; Baolin Wu

doi:10.1109/AERO.2009.4839336

Periodic and quasi-periodic satellite relative orbits at critical inclination

Guangyan Xu^*
, Danwei Wang
, Kee Poh Eng
, Baolin Wu

^*Corresponding author for this work

Nanyang Technological University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

13 Scopus citations

Abstract

Orbit at the critical inclination is a practical option for long-term satellite formations flying around an oblate Earth. This paper establishes that passive and periodic relative orbits with cross-track motion are only possible at the critical inclination under conditions that all satellites share the same inclination, the same semi-major axis and the same eccentricity. Furthermore, a quasi-periodic relative orbit is achieved near the critical inclination by matching the orbital energy and the polar component of the orbital angular momentum. These matching conditions can be expressed in terms of the actual orbit variables. Our theoretical result shows that these conditions are equivalent to matching the orbital period and the rate of the mean anomaly.

Original language	English
Title of host publication	2009 IEEE Aerospace Conference
DOIs	https://doi.org/10.1109/AERO.2009.4839336
State	Published - 2009
Externally published	Yes
Event	2009 IEEE Aerospace Conference - Big Sky, MT, United States Duration: 7 Mar 2009 → 14 Mar 2009

Publication series

Name	IEEE Aerospace Conference Proceedings
ISSN (Print)	1095-323X

Conference

Conference	2009 IEEE Aerospace Conference
Country/Territory	United States
City	Big Sky, MT
Period	7/03/09 → 14/03/09

Access to Document

10.1109/AERO.2009.4839336

Cite this

@inproceedings{3455f1a1e1544c189ac415bee510f7f8,

title = "Periodic and quasi-periodic satellite relative orbits at critical inclination",

abstract = "Orbit at the critical inclination is a practical option for long-term satellite formations flying around an oblate Earth. This paper establishes that passive and periodic relative orbits with cross-track motion are only possible at the critical inclination under conditions that all satellites share the same inclination, the same semi-major axis and the same eccentricity. Furthermore, a quasi-periodic relative orbit is achieved near the critical inclination by matching the orbital energy and the polar component of the orbital angular momentum. These matching conditions can be expressed in terms of the actual orbit variables. Our theoretical result shows that these conditions are equivalent to matching the orbital period and the rate of the mean anomaly.",

author = "Guangyan Xu and Danwei Wang and Eng, \{Kee Poh\} and Baolin Wu",

year = "2009",

doi = "10.1109/AERO.2009.4839336",

language = "英语",

isbn = "9781424426225",

series = "IEEE Aerospace Conference Proceedings",

booktitle = "2009 IEEE Aerospace Conference",

note = "2009 IEEE Aerospace Conference ; Conference date: 07-03-2009 Through 14-03-2009",

}

TY - GEN

T1 - Periodic and quasi-periodic satellite relative orbits at critical inclination

AU - Xu, Guangyan

AU - Wang, Danwei

AU - Eng, Kee Poh

AU - Wu, Baolin

PY - 2009

Y1 - 2009

N2 - Orbit at the critical inclination is a practical option for long-term satellite formations flying around an oblate Earth. This paper establishes that passive and periodic relative orbits with cross-track motion are only possible at the critical inclination under conditions that all satellites share the same inclination, the same semi-major axis and the same eccentricity. Furthermore, a quasi-periodic relative orbit is achieved near the critical inclination by matching the orbital energy and the polar component of the orbital angular momentum. These matching conditions can be expressed in terms of the actual orbit variables. Our theoretical result shows that these conditions are equivalent to matching the orbital period and the rate of the mean anomaly.

AB - Orbit at the critical inclination is a practical option for long-term satellite formations flying around an oblate Earth. This paper establishes that passive and periodic relative orbits with cross-track motion are only possible at the critical inclination under conditions that all satellites share the same inclination, the same semi-major axis and the same eccentricity. Furthermore, a quasi-periodic relative orbit is achieved near the critical inclination by matching the orbital energy and the polar component of the orbital angular momentum. These matching conditions can be expressed in terms of the actual orbit variables. Our theoretical result shows that these conditions are equivalent to matching the orbital period and the rate of the mean anomaly.

UR - https://www.scopus.com/pages/publications/70349106042

U2 - 10.1109/AERO.2009.4839336

DO - 10.1109/AERO.2009.4839336

M3 - 会议稿件

AN - SCOPUS:70349106042

SN - 9781424426225

T3 - IEEE Aerospace Conference Proceedings

BT - 2009 IEEE Aerospace Conference

T2 - 2009 IEEE Aerospace Conference

Y2 - 7 March 2009 through 14 March 2009

ER -

Periodic and quasi-periodic satellite relative orbits at critical inclination

Abstract

Publication series

Conference

Access to Document

Other files and links

Fingerprint

Cite this