TRANSVERSALITY OF THE INVARIANT-MANIFOLDS ASSOCIATED TO THE LYAPUNOV FAMILY OF PERIODIC-ORBITS NEAR L2 IN THE RESTRICTED 3-BODY PROBLEM

被引:112
作者
LLIBRE, J [1 ]
MARTINEZ, R [1 ]
SIMO, C [1 ]
机构
[1] UNIV BARCELONA,FAC MATEMAT,BARCELONA,SPAIN
关键词
D O I
10.1016/0022-0396(85)90024-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
引用
收藏
页码:104 / 156
页数:53
相关论文
共 17 条
[1]  
Alekseev V M., 1968, MATH USSR SB, V6, P505, DOI [10.1070/SM1968v006n04ABEH001074, DOI 10.1070/SM1968V006N04ABEH001074]
[2]  
ALEKSEEV VM, 1968, MATH USSR SB, V5, P73
[3]  
[Anonymous], [No title captured]
[4]  
CHURCHILL RC, 1978, LECT NOTE PHYS, V93, P76
[5]  
Conley C., 1968, TOPOLOGICAL DYNAMICS, P129
[6]   ON ULTIMATE BEHAVIOR OF ORBITS WITH RESPECT TO AN UNSTABLE CRITICAL POINT .I. OSCILLATING ASYMPTOTIC AND CAPTURE ORBITS [J].
CONLEY, CC .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1969, 5 (01) :136-&
[7]  
DEVANEY RL, 1981, ERGOD THEOR DYN, P211
[8]   OSCILLATORY SOLUTIONS IN THE PLANAR RESTRICTED 3-BODY PROBLEM [J].
LLIBRE, J ;
SIMO, C .
MATHEMATISCHE ANNALEN, 1980, 248 (02) :153-184
[9]   SOME HOMOCLINIC PHENOMENA IN THE 3-BODY PROBLEM [J].
LLIBRE, J ;
SIMO, C .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1980, 37 (03) :444-465
[10]   STUDY OF ASYMPTOTIC SOLUTIONS IN VICINITY OF COLLINEAR LIBRATION POINTS OF RESTRICTED 3-BODY PROBLEM [J].
LUKJANOV, LG .
CELESTIAL MECHANICS, 1977, 15 (04) :489-500