Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..12...19s&link_type=abstract
(International Astronomical Union and COSPAR, Colloquium on Planetary Satellites, 28th, Ithaca, N.Y., Aug. 18-21, 1974.) Celesti
Astronomy and Astrophysics
Astronomy
4
Astronomical Models, Jupiter (Planet), Natural Satellites, Orbit Perturbation, Satellite Orbits, Orbital Elements, Orbital Mechanics, Resonance, Taylor Series
Scientific paper
The motions of the Galilean satellites are considered in the framework of an analytical model in which Taylor expansions are used with respect to the chosen parameters, the arguments are known linear functions of time rather than unknown nonlinear functions, and two approximate resonances appear. Definitions are given for the reference, intermediary, resonance intermediary, and general orbits. The problem is subdivided so that the planetary perturbation can be considered separately, additional perturbing forces can be determined, and the z-components of the external forces can be taken into account. A procedure is outlined for obtaining the resonant intermediary orbit, and equations for the general solution are presented which are the variational equations in the neighborhood of the intermediary orbit.
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