Symmetry, bifurcation and stacking of the central configurations of the planar 1+4 body problem |
| |
| Authors: | Allyson Oliveira |
| |
| Institution: | 1. Núcleo de Forma??o Docente, Universidade Federal de Pernambuco, Caruaru, PE, CEP 55002-970, Brazil
|
| |
| Abstract: | In this work we are interested in the central configurations of the planar $1+4$ body problem where the satellites have different infinitesimal masses and two of them are diametrically opposite in a circle. We can think of this problem as a stacked central configuration too. We show that the configurations are necessarily symmetric and the other satellites have the same mass. Moreover we prove that the number of central configurations in this case is in general one, two or three and, in the special case where the satellites diametrically opposite have the same mass, we prove that the number of central configurations is one or two and give the exact value of the ratio of the masses that provides this bifurcation. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
