Mathematics – Dynamical Systems
Scientific paper
Dec 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..34..245t&link_type=abstract
(Bundesministerium für Wissenschaft und Forschung of Austria, Alexander von Humboldt Colloquium on Celestial Mechanics: The Stab
Mathematics
Dynamical Systems
1
Celestial Mechanics, Dynamical Systems, Galilean Satellites, Harmonic Motion, Planetary Orbits, Eigenvalues, Eigenvectors, Equations Of Motion, Matrices (Mathematics), Planetary Mass, Secular Variations
Scientific paper
The construction of an analytical theory of the motion of the Galilean satellites of Jupiter requires that track is kept of the dynamical parameters, that is, the masses of the satellites, and the harmonic coefficients of the potential of the planet J2 and J4. 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 developed solutions of this autonomous system. In these solutions the proper motions of the pericenters and nodes are obtained as short series developed in the neighborhood of a numerical solution. These results have been used to obtain complementary terms in the general solution which give a complete representation of the motions with respect to the dynamical parameters.
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