A note on the full two-body problem and related restricted full three-body problem

被引：0
|
作者：
Xiyun Hou
Xiaosheng Xin
机构：
[1] Nanjing University,School of Astronomy and Space Science
[2] Nanjing University,Institute of Astrodynamics and Space Environment
来源：
Astrodynamics | 2018年 / 2卷 / 1期
关键词：
full two-body problem (F2BP); restricted full three-body; problem (RF3BP); binary asteroid; collinear libration point;
D O I：
10.1007/s42064-017-0010-9
中图分类号：
学科分类号：
摘要：
Truncating at the second order of the mutual potential between two rigid bodies, time-explicit first order solutions to the rotations and the orbital motion of the two bodies in the planar full two-body problem (F2BP) are constructed. Based on this analytical solution, equations of motion (EOMs) for the related restricted full three-body problem are given. In the case of the synchronous or double synchronous states for the full two-body problem, EOMs for the related restricted full three-body problem (RF3BP) are also given. At last, one example—the “collinear libration point” in the binary asteroid system—is given.
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页码：39 / 52
页数：13
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