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  Coorbital restricted problem and its application in the design of the orbits of the LISA spacecraft

Yi, Z., Li, G., Heinzel, G., Rüdiger, A., Jennrich, O., Wang, L., et al. (2008). Coorbital restricted problem and its application in the design of the orbits of the LISA spacecraft. International Journal of Modern Physics D, 17(7), 1005-1019.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-141E-C Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-1423-D
Genre: Conference Paper

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S0218271808012668.pdf (Any fulltext), 447KB
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 Creators:
Yi, Zhaohua1, Author
Li, Guangyu1, Author
Heinzel, Gerhard2, Author              
Rüdiger, Albrecht2, Author              
Jennrich, Oliver2, Author
Wang, Li1, Author
Xia, Yan1, Author
Zeng, Fei1, Author
Zhao, Haibin1, Author
Affiliations:
1External Organizations, ou_persistent22              
2Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society, Hannover, DE, ou_24010              

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 Abstract: On the basis of many coorbital phenomena in astronomy and spacecraft motion, a dynamics model is proposed in this paper - treating the coorbital restricted problem together with method for obtaining a general approximate solution. The design of the LISA spacecraft orbits is a special 2+3 coorbital restricted problem. The problem is analyzed in two steps. First, the motion of the barycenter of the three spacecraft is analyzed, which is a planar coorbital restricted three-body problem. And an approximate analytical solution of the radius and the argument of the center is obtained consequently. Secondly, the configuration of the three spacecraft with minimum arm-length variation is analyzed. The motion of a single spacecraft is a near-planar coorbital restricted three-body problem, allowing approximate analytical solutions for the orbit radius and the argument of a spacecraft. Thus approximative expressions for the arm-length are given.

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 Dates: 2008-05
 Publication Status: Published in print
 Pages: -
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 Rev. Method: Peer
 Identifiers: eDoc: 398729
DOI: 10.1142/S0218271808012668
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Title: Third International ASTROD Symposium on Laser Astrodynamics, Space Test of Relativity and Gravitational-Wave Astronomy
Place of Event: Beijing, China
Start-/End Date: 2006-07-13 - 2006-07-16

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Title: International Journal of Modern Physics D
Source Genre: Journal
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Publ. Info: Singapore : World Scientific
Pages: - Volume / Issue: 17 (7) Sequence Number: - Start / End Page: 1005 - 1019 Identifier: ISSN: 0218-2718
CoNE: /journals/resource/954925493947