Secular effects in the orbits of the Galilean satellites

Details Secular effects in the orbits of the Galilean satellites Secular effects in the orbits of the Galilean satellites

Mar 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981cemec..23..203b&link_type=abstract

Celestial Mechanics, vol. 23, Mar. 1981, p. 203-221.

Mathematics

2

Galilean Satellites, Orbital Mechanics, Perturbation Theory, Planetary Orbits, Secular Variations, Differential Equations, Orbital Elements, Jupiter, Satellites, Orbits, Perturbations, Period, Mathematical Models, Secular Variations, Mass, Parameters

Scientific paper

This paper presents the results of an investigation into the secular behavior of the orbits of the Galilean satellites of Jupiter. Kamel's perturbation method is used to remove all the explicitly periodic variables from the differential equations that describe the long period behavior of the orbits to third order in the masses, and the resulting differential equations for the secular behavior are then solved. Several numerical examples are given to illustrate the sensitivity of the solution to variations in the masses of the satellites.

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