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          Institute: MPI für Gravitationsphysik     Collection: Laser Interferometry & Gravitational Wave Astronomy     Display Documents

ID: 398729.0, MPI für Gravitationsphysik / Laser Interferometry & Gravitational Wave Astronomy
Coorbital restricted problem and its application in the design of the orbits of the LISA spacecraft
Authors:Yi, Zhaohua; Li, Guangyu; Heinzel, Gerhard; Rüdiger, Albrecht; Jennrich, Oliver; Wang, Li; Xia, Yan; Zeng, Fei; Zhao, Haibin
Date of Publication (YYYY-MM-DD):2008-05
Title of Journal:International Journal of Software Engineering and Knowledge Engineering
Volume (in Journal):18
Issue / Number:3
Start Page:1005
End Page:1019
Name of Conference/Meeting:3rd International ASTROD Symposium
Place of Conference/Meeting:Beijing, CHINA
(Start) Date of Conference/Meeting
End Date of Conference/Meeting 
Review Status:Peer-review
Audience:Not Specified
Abstract / Description: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.
External Publication Status:published
Document Type:Conference-Paper
Communicated by:Karsten Danzmann
Affiliations:MPI für Gravitationsphysik/Laser Interferometry & Gravitational Wave Astronomy
MPI für Gravitationsphysik/Teilinstitut Hannover
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