Bifurcations of relative equilibria for one spheroidal and two spherical bodies |
| |
| Authors: | Antonio Hernández-Garduño Cristina Stoica |
| |
| Institution: | 1. Universidad Autónoma Metropolitana, Iztapalapa, Mexico
2. Wilfrid Laurier University, Waterloo, Canada
|
| |
| Abstract: | We discuss existence and bifurcations of non-collinear (Lagrangian) relative equilibria in a generalized three body problem. Specifically, one of the bodies is a spheroid (oblate or prolate) with its equatorial plane coincident with the plane of motion where only the “J 2” term from its potential expansion is retained. We describe the bifurcations of relative equilibria as function of two parameters: J 2 and the angular velocity of the system formed by the mass centers. We offer the values of the parameters where bifurcations in shape occur and discuss their physical meaning. We conclude with a general theorem on the number and the shape of relative equilibria. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
