A restricted four-body problem for the eight figure choreography

Autor:	Lara, Ricardo, Bengochea, Abimael
Rok vydání:	2019
Předmět:	Mathematics - Dynamical Systems 95.10.Ce 45.50.Pk 45.50.-j
Druh dokumentu:	Working Paper
Popis:	In this work we introduce a planar restricted four-body problem where a massless particle moves under the gravitational influence due to three bodies following the eight figure choreography, and we explore some symmetric periodic orbits of this system which turns out to be non autonomous. We demonstrate that certain families of involutions are reversing symmetries of certain N-body problem. We consider a particular case of such families of reversing symmetries and we use it to study both theoretically and numerically certain type of symmetric periodic orbits of this system. The symmetric periodic orbits (initial conditions) were determined by means of solving some boundary value problems. Comment: Preprint submitted to Regular and Chaotic Dynamics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1910.12822 Zobrazit plný text záznamu View this record from Arxiv