Periodic orbits of a collinear restricted three-body problem

被引:22
作者
Corbera, M
Llibre, J
机构
[1] Univ Vic, Dept Informat & Matemat, Escola Poltecn Super, E-08500 Barcelona, Spain
[2] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain
关键词
periodic orbits; collinear restricted three-body problem; analytic continuation method;
D O I
10.1023/A:1024183003251
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
In this paper we study symmetric periodic orbits of a collinear restricted three-body problem, when the middle mass is the largest one. These symmetric periodic orbits are obtained from analytic continuation of symmetric periodic orbits of two collinear two-body problems.
引用
收藏
页码:163 / 183
页数:21
相关论文
共 12 条
[1]   NUMERICAL EXPLORATIONS OF THE RECTILINEAR PROBLEM OF 3 BODIES [J].
BROUCKE, R ;
WALKER, DE .
CELESTIAL MECHANICS, 1980, 21 (01) :73-81
[2]   Periodic orbits of the Sitnikov problem via a Poincare map [J].
Corbera, M ;
Llibre, J .
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2000, 77 (04) :273-303
[3]  
CORBERA M, 2001, FAMILIES PERIODIC OR
[4]  
Corbera M., 2002, CONT MATH, V292, P91
[5]  
HENON H, 1977, CELESTIAL MECH, V15, P243
[6]   Doubly-symmetric periodic solutions of the spatial restricted three-body problem [J].
Howison, RC ;
Meyer, KR .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2000, 163 (01) :174-197
[7]   SYMMETRIC RECTILINEAR PERIODIC-ORBITS OF 3 BODIES [J].
KAMMEYER, PC .
CELESTIAL MECHANICS, 1983, 30 (04) :329-342
[8]   SOME HOMOCLINIC PHENOMENA IN THE 3-BODY PROBLEM [J].
LLIBRE, J ;
SIMO, C .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1980, 37 (03) :444-465
[9]  
MEYER KR, 1999, LECT NOTES MATHS, V1719
[10]  
Poincare H., 1957, METHODES NOUVELLES M