We study the process of galactic merger, where galaxies are regarded as compact objects with time-dependent masses.This study is made through the analysis of the system's orbit.For this purpose, we consider the gravitational problem of two bodies exchanging mass with a surrounding atmosphere.The Gylden-Mestschersky problem is reviewed in order to be used as a reference for that problem.We propose some models of mass variation, based on a hydrodynamics analogy and on a microscopic analysis of the system.The two-body problem considered is applied to the three-boby problem of varying masses.We found stationary solutions corresponding to the ones of the usual constant masses problem.
Gabriel Cunha Linhares FagundesCláudia Maria Sabóia de AquinoMaurício Antonio de Sousa