Families of periodic orbits emanating from homoclinic orbits in the restricted problem of three bodies

被引:18
作者
Henrard, J
Navarro, JF
机构
[1] Univ Namur, Dept Math, B-5000 Namur, Belgium
[2] Univ Alicante, Dept Matemat A, E-03080 Alicante, Spain
关键词
bifurcations; homoclinic orbits; periodic orbits; restricted three body problem;
D O I
10.1023/B:CELE.0000038608.06392.e0
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 on the evolution of the families of periodic orbits associated with homoclinic orbits emanating from the equilateral equilibria of the restricted three body problem for values of the mass ratio larger than mu(1). This exploration is, in some sense, a continuation of the Work reported in Henrard [Celes. Mech. Dyn. Astr. 2002, 83, 291]. Indeed it shows how, for values of mu larger than mu(1), the Trojan web described there is transformed into families of periodic orbits associated with homoclinic orbits. Also we describe how families of periodic orbits associated with homoclinic orbits can attach (or detach) themselves to (or from) the best known families of symmetric periodic orbits.
引用
收藏
页码:285 / 304
页数:20
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