Horseshoe periodic orbits in the restricted three body problem

被引：0

作者：

Llibre, J ^{[1
]}

Ollé, M ^{[1
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

来源：

NEW ADVANCES IN CELESTIAL MECHANICS AND HAMILTONIAN SYSTEMS | 2004年

关键词：

coorbital motion; periodic orbits; restricted three-body problem; invariant manifolds;

D O I：

暂无

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We consider the circular restricted three-body problem (CRTBP) in the synodical system of coordinates for values of the Jacobi constant C in the interval (3, C-1) (where C-1 is the value of C at the collinear equilibrium point L-1). We describe the existence of families of horseshoe periodic orbits when varying the mass parameter and the Jacobi constant. The relation between such orbits and the invariant manifolds of the Lyapunov families of periodic orbits around the collinear equilibrium point L-3 is also analysed.

引用

页码：137 / 152

页数：16

共 50 条

[1] Families of periodic horseshoe orbits in the restricted three-body problem
Barrabés, E
Mikkola, S
ASTRONOMY & ASTROPHYSICS, 2005, 432 (03) : 1115 - 1129
[2] On the period of the periodic orbits of the restricted three body problem
Perdomo, Oscar
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2017, 129 (1-2): : 89 - 104
[3] Periodic orbits of the restricted three-body problem
Mathlouthi, S
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 350 (06) : 2265 - 2276
[4] Instability of periodic orbits in the restricted three body problem
Offin, D
Skoczylas, W
NEW ADVANCES IN CELESTIAL MECHANICS AND HAMILTONIAN SYSTEMS, 2004, : 153 - 168
[5] On the period of the periodic orbits of the restricted three body problem
Oscar Perdomo
Celestial Mechanics and Dynamical Astronomy, 2017, 129 : 89 - 104
[6] On Families of Periodic Orbits in the Restricted Three-Body Problem
Seongchan Kim
Qualitative Theory of Dynamical Systems, 2019, 18 : 201 - 232
[7] Periodic orbits in the restricted three body problem with radiation pressure
Elipe, A
Lara, M
VISUAL DOUBLE STARS: FORMATION, DYNAMICS AND EVOLUTIONARY TRACKS, 1997, 223 : 289 - 297
[8] Periodic orbits of a collinear restricted three-body problem
Corbera, M
Llibre, J
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2003, 86 (02): : 163 - 183
[9] Critical Periodic Orbits in the Restricted Three–Body Problem With Oblateness
E. A. Perdios
V. S. Kalantonis
Astrophysics and Space Science, 2006, 305 : 331 - 336
[10] On Families of Periodic Orbits in the Restricted Three-Body Problem
Kim, Seongchan
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2019, 18 (01) : 201 - 232

← 1 2 3 4 5 →