Details
| Original language | English |
|---|---|
| Pages (from-to) | 1005-1019 |
| Number of pages | 15 |
| Journal | International Journal of Modern Physics D |
| Volume | 17 |
| Issue number | 7 |
| Publication status | Published - Jul 2008 |
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.
Keywords
- Coorbital restricted problem, LISA Constellation, Orbital design, Restricted problem
ASJC Scopus subject areas
- Mathematics(all)
- Mathematical Physics
- Physics and Astronomy(all)
- Astronomy and Astrophysics
- Earth and Planetary Sciences(all)
- Space and Planetary Science
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In: International Journal of Modern Physics D, Vol. 17, No. 7, 07.2008, p. 1005-1019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Coorbital restricted problem and its application in the design of the orbits of the LISA spacecraft
AU - Yi, Zhaohua
AU - Li, Guangyu
AU - Heinzel, Gerhard
AU - Rüdiger, Albrecht
AU - Jennrich, Oliver
AU - Wang, Li
AU - Xia, Yan
AU - Zeng, Fei
AU - Zhao, Haibin
PY - 2008/7
Y1 - 2008/7
N2 - 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.
AB - 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.
KW - Coorbital restricted problem
KW - LISA Constellation
KW - Orbital design
KW - Restricted problem
UR - http://www.scopus.com/inward/record.url?scp=49549121399&partnerID=8YFLogxK
U2 - 10.1142/S0218271808012668
DO - 10.1142/S0218271808012668
M3 - Article
AN - SCOPUS:49549121399
VL - 17
SP - 1005
EP - 1019
JO - International Journal of Modern Physics D
JF - International Journal of Modern Physics D
SN - 0218-2718
IS - 7
ER -