J2 effect and elliptic inclined periodic orbits in the collision restricted three-body problem

被引：2

作者：

Barrabes, E. ^{[1
]}

Cors, J. M. ^{[2
]}

Pinyol, C. ^{[3
]}

Soler, J. ^{[1
]}

机构：

[1] Univ Girona, Dept Informat & Matemat Aplicada, Girona 17003, Spain

[2] Univ Politecn Cataluna, Dept Matemat Aplicada 3, Barcelona 08242, Spain

[3] Univ Autonoma Barcelona, Dept Econ & Hist Econ, E-08193 Barcelona, Spain

来源：

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS | 2008年 / 7卷 / 01期

关键词：

collision restricted three-body problem; periodic orbits; symmetric orbits; critical inclination; continuation method;

D O I：

10.1137/070683854

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of a new class of inclined periodic orbits of the collision restricted three-body problem is shown. The symmetric periodic solutions found are perturbations of elliptic Kepler orbits, and they exist only for special values of the inclination and are related to the motion of a satellite around an oblate planet.

引用

页码：1 / 17

页数：17

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