Energy and stability in the full two body problem

被引：55

作者：

Bellerose, Julie ^{[1
]}

Scheeres, Daniel J. ^{[1
]}

机构：

[1] Univ Michigan, Ann Arbor, MI 48109 USA

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2008年 / 100卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Full Two-Body Problem; ellipsoid-sphere system; relative equilibria; stability; periodic orbits;

D O I：

10.1007/s10569-007-9108-3

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The conditions for relative equilibria and their stability in the Full Two Body Problem are derived for an ellipsoid-sphere system. Under constant angular momentum it is found that at most two solutions exist for the long-axis solutions with the closer solution being unstable while the other one is stable. As the non-equilibrium problem is more common in nature, we look at periodic orbits in the F2BP close to the relative equilibrium conditions. Families of periodic orbits can be computed where the minimum energy state of one family is the relative equilibrium state. We give results on the relative equilibria, periodic orbits and dynamics that may allow transition from the unstable configuration to a stable one via energy dissipation.

引用

页码：63 / 91

页数：29