
Article Title
A note on the full two-body problem and related restricted full three- body problem
Keywords
full two-body problem (F2BP), restricted full three-body, problem (RF3BP), binary asteroid, collinear libration point
Abstract
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 theplanar 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.
Publisher
Tsinghua University Press
Recommended Citation
Xiyun Hou,Xiaosheng Xin,A note on the full two-body problem and related restricted full three-body problem.Astrodyn.2018, 2(1): 39–52.