Geometry of homoclinic connections in a planar circular restricted three-body problem

被引：20

作者：

Gidea, Marian ^{[1
]}

Masdemont, Josep J.

机构：

[1] NE Illinois Univ, Dept Math, Chicago, IL 60625 USA

[2] Univ Politecn Cataluna, Dept Matemat Aplicada 1, ETSEIB, E-08028 Barcelona, Spain

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2007年 / 17卷 / 04期

基金：

美国国家科学基金会;

关键词：

three-body problem; invariant manifolds; homoclinic orbits; symbolic dynamics; INVARIANT-MANIFOLDS; PERIODIC-ORBITS; DYNAMICS; POINTS;

D O I：

10.1142/S0218127407017744

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The stable and unstable invariant manifolds associated with Lyapunov orbits about the libration point L-1 between the primaries in the planar circular restricted three-body problem with equal masses are considered. The behavior of the intersections of these invariant manifolds for values of the energy between that of L-1 and the other collinear libration points L-2, L-3 is studied using symbolic dynamics. Homoclinic orbits are classified according to the number of turns about the primaries.

引用

页码：1151 / 1169

页数：19

共 50 条

[21] Momentum Maps and Transport Mechanisms in the Planar Circular Restricted Three-Body Problem
Roshan T. Eapen
Kathleen C. Howell
Kyle T. Alfriend
The Journal of the Astronautical Sciences, 2022, 69 : 1263 - 1291
[22] Homoclinic and heteroclinic orbits in the photogravitational restricted three-body problem
K. E. Papadakis
Astrophysics and Space Science, 2006, 302 : 67 - 82
[23] Transversal Homoclinic Orbits in the Collinear Restricted Three-Body Problem
J. Llibre
E. Perez-Chavela
Journal of Nonlinear Science, 2005, 15 : 1 - 10
[24] Homoclinic and heteroclinic orbits in the photogravitational restricted three-body problem
Papadakis, K. E.
ASTROPHYSICS AND SPACE SCIENCE, 2006, 302 (1-4) : 67 - 82
[25] On algebraic integrals of the hill problem and restricted circular planar three-body problem on a level of energy
Sadetov, ST
REGULAR & CHAOTIC DYNAMICS, 2005, 10 (03): : 323 - 332
[26] Lunar capture in the planar restricted three-body problem
Yi Qi
Shijie Xu
Celestial Mechanics and Dynamical Astronomy, 2014, 120 : 401 - 422
[27] Lunar capture in the planar restricted three-body problem
Qi, Yi
Xu, Shijie
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2014, 120 (04): : 401 - 422
[28] Broad search for unstable resonant orbits in the planar circular restricted three-body problem
Anderson, Rodney L.
Campagnola, Stefano
Lantoine, Gregory
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2016, 124 (02): : 177 - 199
[29] Invariant Manifolds and Lagrangian Coherent Structures in the Planar Circular Restricted Three-Body Problem
Onozaki, Kaori
Yoshimura, Hiroaki
THEORETICAL AND APPLIED MECHANICS JAPAN, 2014, 62 : 119 - 128
[30] Invariant manifolds and Lagrangian coherent structures in the planar circular restricted three-body problem
Onozaki, Kaori
Yoshimura, Hiroaki
Theoretical and Applied Mechanics Japan, 2014, 62 : 119 - 128

← 1 2 3 4 5 →