The Sitnikov problem for several primary bodies configurations |
| |
Authors: | Gastón Beltritti Fernando Mazzone Martina Oviedo |
| |
Affiliation: | 1.CONICET - Dpto. de Matemática, Facultad de Ciencias Exactas Fsico-Qumicas y Naturales,Universidad Nacional de Río Cuarto,Río Cuarto,Argentina;2.CONICET - Instituto de Investigaciones Matemáticas “Luis A. Santaló”,Facultad de Ciencias Exactas y Naturales-UBA,Buenos Aires,Argentina |
| |
Abstract: | In this paper we address an (n+1)-body gravitational problem governed by the Newton’s laws, where n primary bodies orbit on a plane (varPi ) and an additional massless particle moves on the perpendicular line to (varPi ) passing through the center of mass of the primary bodies. We find a condition for the described configuration to be possible. In the case when the primaries are in a rigid motion, we classify all the motions of the massless particle. We study the situation when the massless particle has a periodic motion with the same minimal period as the primary bodies. We show that this fact is related to the existence of a certain pyramidal central configuration. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|