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Revista mexicana de física
versión impresa ISSN 0035-001X
Rev. mex. fis. vol.55 no.2 México abr. 2009
Investigación
The Saturn, Janus and Epimetheus dynamics as a gravitational threebody problem in the plane
A. Bengochea* and E. Piña**
Department of Physics, Universidad Autónoma Metropolitana Iztapalapa, P.O. Box 55 534, México, D.F., 09340 México, email: abc@xanum.uam.mx* , pge@xanum.uam.mx** .
Recibido el 7 de abril de 2008
Aceptado el 13 de marzo de 2009
Abstract
Using a coordinate system given by the principal axis of inertia, as determined by an angle, and also two distances related to the principal moments of inertia and an auxiliary angle as coordinates, we consider the Three Body Problem, interacting through gravitational forces in a plane. The dynamics of the triple SaturnJanusEpimetheus has been considered in these coordinates as an adiabatic perturbation of the classical equilateral triangle Lagrange solution and of the collinear Euler solution. The coorbital motion remembering the SaturnJanusEpimetheus behavior is then developed theoretically based on numerical and experimental evidence.
Keywords: Threebody problem; Saturn; Janus; Epimetheus.
Resumen
Se usa un sistema de coordenadas dado por los ejes principales de inercia, determinados por un ángulo, y además, dos distancias relacionadas a los momentos principales de inercia y un ángulo auxiliar. Consideramos al problema de tres cuerpos, que interacciona a través de fuerzas gravitacionales en un plano. La dinámica de la terna SaturnoJanoEpimeteo se ha descrito en estas coordenadas como una perturbación adiabática de las soluciónes clásicas triangular equilátera de Lagrange y la solución colinear de Euler. El movimiento coorbital semejante al comportamiento de SaturnoJanoEpimeteo se desarrolla teóricamente basados en evidencia numérica y experimental.
Descriptores: Problema de tres cuerpos; Saturno; Jano; Epimeteo.
PACS:45.50.Pk;95.10.Ce
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