The web of periodic orbits at L4

被引：33

作者：

Henrard, J ^{[1
]}

机构：

[1] Univ Namur, B-5000 Namur, Belgium

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2002年 / 83卷 / 1-4期

关键词：

periodic orbits; equilibrium points; restricted problem;

D O I：

10.1023/A:1020124323302

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We describe and comment the results of a numerical exploration of the numerous natural families of periodic orbits associated with the L-4 equilibrium point of the restricted problem of three bodies (and of course by symmetry those associated with the L-5 equilibrium point). These families are organized in a very structured network or coweb and this structure evolves, when the mass ratio mu varies, in a very organized way.

引用

页码：291 / 302

页数：12

共 15 条

[1]

BARTLETT JH, 1965, SKIFTER DAN VIDEN MP, V1

[2]

BREAKWELL J, 1966, METHODS ASTRODYNAMIC, P55

[3] STABILITY OF TRIANGULAR LAGRANGIAN POINTS [J].

DEPRIT, A .

ASTRONOMICAL JOURNAL, 1967, 72 (02) :173-&

[4]

Deprit A., 1970, Periodic orbits, stability and resonances, P1

[5] BLUE SKY CATASTROPHES IN REVERSIBLE AND HAMILTONIAN SYSTEMS [J].

DEVANEY, RL .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1977, 26 (02) :247-263

[6]

H?non M., 1997, GENERATING FAMILIES

[7]

Henrard J., 1973, Celestial Mechanics, V7, P449, DOI 10.1007/BF01227510

[8]

HENRARD J, 1970, ASTRON ASTROPHYS, V5, P45

[9] ON BROWN CONJECTURE [J].

HENRARD, J .

CELESTIAL MECHANICS, 1983, 31 (02) :115-122

[10]

HENRARD J, 1969, CELESTIAL MECH, V1, P437

← 1 2 →