Periodic Orbits in the Restricted Three-body Problem and Arnold's J+-invariant

被引：9

作者：

Cieliebak, Kai ^{[1
]}

Frauenfelder, Urs ^{[1
]}

van Koert, Otto ^{[2
,3
]}

机构：

[1] Univ Augsburg, Math Inst, Univ Str 14, D-86159 Augsburg, Germany

[2] Seoul Natl Univ, Dept Math, San 56-1, Seoul 08826, South Korea

[3] Seoul Natl Univ, Res Inst Math, San 56-1, Seoul 08826, South Korea

来源：

REGULAR & CHAOTIC DYNAMICS | 2017年 / 22卷 / 04期

关键词：

generic immersions into the plane; Arnold's plane curve invariants; restricted three-body problem;

D O I：

10.1134/S1560354717040050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We apply Arnold's theory of generic smooth plane curves to Stark - Zeeman systems. This is a class of Hamiltonian dynamical systems that describes the dynamics of an electron in an external electric and magnetic field, and includes many systems from celestial mechanics. Based on Arnold's J(+)-invariant, we introduce invariants of periodic orbits in planar Stark - Zeeman systems and study their behavior.

引用

页码：408 / 434

页数：27

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