Development of Models for the Equations of Motion in the Solar System: Implementations and Applications

Abstract

The purpose of this MS-Thesis is to develop suitable semi-analytical quasiperiodic models for the equations of motion in the solar system, in the sense that the models obtained are quasiperiodic pertubations of the restricted three-body problem both in synodical or in Hamiltonian form. The results of the research have to be implemented developing specific vectorfields for the porpagation of trajectories and the corresponding changes of coordinates. All the software has to be checked in terms of accuracy. Comparisons will be made against integrations performed in the inertial vectorfield given by JPL ephemeris. The undeliying methodology is appropiate to generate simplified models of the solar system in particular regions of interest, mainly about libration point regimes of any selected system, like Sun-planet or Planet-Satellite. A refined Fourier analysis of the coefficients in the case of some Jupiter-Satellite systems is going to be performed as well as the computation of several libration point orbits in the selected systems.