| 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
(YYYY-MM-DD): | 2006-07-13 |
End Date of Conference/Meeting
(YYYY-MM-DD): | 2006-07-16 |
| 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
|
| Identifiers: | ISSN:0218-1940 |
|
Advanced
