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 6 条

[1] CONTINUATION OF PERIODIC ORBITS FROM RESTRICTED TO GENERAL 3-BODY PROBLEM
HADJIDEMETRIOU, JD
[J]. CELESTIAL MECHANICS, 1975, 12 (02): : 155 - 174
[2] TRANSVERSALITY OF THE INVARIANT-MANIFOLDS ASSOCIATED TO THE LYAPUNOV FAMILY OF PERIODIC-ORBITS NEAR L2 IN THE RESTRICTED 3-BODY PROBLEM
LLIBRE, J
MARTINEZ, R
SIMO, C
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1985, 58 (01) : 104 - 156
[3] The motion of Saturn coorbital satellites in the restricted three-body problem
Llibre, J
Ollé, M
[J]. ASTRONOMY & ASTROPHYSICS, 2001, 378 (03) : 1087 - 1099
[4] From the restricted to the full three-body problem
Meyer, KR
Schmidt, DS
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 352 (05) : 2283 - 2299
[5] SIMO C, 1999, CEL MECH DYN ASTRON, V66, P500
[6] Szebehely V., 1967, THEORY ORBITS RESTRI

← 1 →