On the Periodic Structure of the Anisotropic Manev Problem

被引：2

作者：

Garcia Guirao, Juan Luis ^{[1
]}

Luis Roca, Jose ^{[2
]}

Vera Lopez, Juan Antonio ^{[2
]}

机构：

[1] Univ Politecn Cartagena, Dept Matemat Aplicada & Estadist, Hosp Marina, Murcia 30203, Spain

[2] Univ Politecn Cartagena, Acad Gen Aire, Ctr Univ Def, Santiago De La Ribera 30720, Region De Murci, Spain

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2019年 / 18卷 / 03期

关键词：

Celestial mechanics; Anisotropic Manev problem; Averaging theory of dynamical systems; Periodic orbits; Primary; 70F05; 70F15; HAMILTONIAN-SYSTEMS; STABILITY;

D O I：

10.1007/s12346-019-00323-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of the present work is to provide sufficient conditions for the existence of periodic orbits of the first and second kind in the sense of Poincare for the Anisotropic Manev problem. Moreover, we are also able to provide information on the stability and bifurcations of the orbits obtained. The main tool that we use is the averaging theory of dynamical systems.

引用

页码：987 / 999

页数：13

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