Characterization of orbits for the MacMillan problem with test particle of variable mass

10 Sep 2018, 14:00
15m
Talk

Speaker

Edgar Andrés Acosta Pinzón (Universidad Industrial de Santander)

Description

In the present study, we conduct a numerical analysis of the MacMillan problem in which the mass of the test particle varies in time according to the Jeans’ law. The MacMillan problem is a particular case of the circular three body problem, where the third body moves along an axis passing through the center of mass of the system, and is perpendicular to the plane of the primaries. Since the formulation of the MacMillan equations of motion, several variations of this problem have been addressed in the literature, all of them with something in common: cons- tant mass. In this master thesis, the focus is laid on the characterization of orbits for the MacMillan problem, assuming that the mass of the third body is variable in time according to the Jeans’ law.

Primary authors

Edgar Andrés Acosta Pinzón (Universidad Industrial de Santander) Fredy Leonardo Dubeibe (Universidad de los Llanos) Guillermo Alfonso González Villegas (Universidad Industrial de Santander)

Presentation Materials