CELESTIAL MECHANICS;
CENTRAL CONFIGURATIONS;
BIFURCATION;
D O I:
10.1137/S0036141093248414
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
Central configurations are important special solutions of the Newtonian N-body problem of celestial mechanics. In this paper a highly symmetrical case is studied. As the masses are varied, spatial central configurations appear through bifurcation from planar ones. In particular, spatial configurations can be found which are arbitrarily close to being planar.