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  Methods for orbit optimization for the LISA gravitational wave observatory

Yi, Z., Li, G., Heinzel, G., Rüdiger, A., Jennrich, O., Wang, L., et al. (2008). Methods for orbit optimization for the LISA gravitational wave observatory. International Journal of Modern Physics D, 17(7), 1021-1042.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-1424-B Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-1428-3
Genre: Conference Paper

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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: The Laser Interferometer Space Antenna (LISA) mission is a joint ESA-NASA mission for detecting low-frequency gravitational waves in the frequency range from 0.1mHz to 1Hz, by using accurate distance measurements with laser interferometry between three spacecraft, which will be launched around 2015 and one year later reach their orbits around the Sun. In order to operate successfully, it is crucial for the constellation of the three spacecraft to have extremely high stability. In this paper, several problems of the orbit optimization of the LISA constellation are discussed by using numerical and analytical methods for satisfying the requirements of accuracy. On the basis of the coorbital restricted problem, analytical expressions of the heliocentric distance and the trailing angle to the Earth of the constellation's barycenter are deduced, with the result that the approximate analytical solution of first order will meet the accuracy requirement of the spacecraft orbit design. It is proved that there is a value of the inclination of the constellation plane that will make the variation of the arm-length a minimum. The principle for selecting the optimum starting elements of orbits at any epoch is proposed. The method and programming principles of finding the optimized orbits are also presented together with examples of the optimization design.

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 Dates: 2008-05
 Publication Status: Published in print
 Pages: -
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 Rev. Method: Peer
 Identifiers: eDoc: 398735
 Degree: -

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Title: 3rd International ASTROD Symposium
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: 1021 - 1042 Identifier: ISSN: 0218-2718
CoNE: /journals/resource/954925493947