The Effect of the Dynamical Parameters in the Motion of the Galilean Satellites of Jupiter
Abstract
The construction of an analytical theory of the motion of the Galilean satellites of Jupiter requires that we keep track of the dynamical parameters, that is, the masses of the satellites, and the harmonic coefficients of the potential of the planet J_{2} and J_{4}. This is realized here. But as in other theories the solution becomes partly numerical from the resolution of an autonomous system. The aim of this paper is to present a method to obtain developped solutions of this autonomous system. In these solutions the proper motions of the pericenters and nodes are obtained as short series developped in the neighbourhood of a numerical solution. We have used these results to obtain complementary terms in the general solution which give a complete representation of the motions with respect to the dynamical parameters.
 Publication:

Celestial Mechanics
 Pub Date:
 December 1984
 DOI:
 10.1007/BF01235806
 Bibcode:
 1984CeMec..34..245T
 Keywords:

 Celestial Mechanics;
 Dynamical Systems;
 Galilean Satellites;
 Harmonic Motion;
 Planetary Orbits;
 Eigenvalues;
 Eigenvectors;
 Equations Of Motion;
 Matrices (Mathematics);
 Planetary Mass;
 Secular Variations;
 Astronomy