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Scientific paper
Aug 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978aiaa.confs....c&link_type=abstract
American Institute of Aeronautics and Astronautics and American Astronautical Society, Astrodynamics Conference, Palo Alto, Cali
Other
Celestial Mechanics, Galilean Satellites, Perturbation Theory, Satellite Perturbation, Callisto, Europa, Ganymede, Io, Oblate Spheroids, Orbit Calculation, Orbital Resonances (Celestial Mechanics), Planetary Gravitation, Series Expansion
Scientific paper
A general perturbation method has been selected and designed with the help of a computerized series expansion technique to find the solution of natural satellites under the gravitational perturbations of planet oblateness, other satellites, and the sun. This method, which is based on the concept of perturbed variations, directly relates the variations in h-k elements with the disturbing forces, and the secular terms are included in the zero-order solution. A technique of 1/delta expansion for solar disturbing forces is introduced. The orbit-orbit resonances among the three inner Galilean satellites are examined. It is found that the three angles librate about zero or 180 deg. The Lagrange's method is used for the integration of secular and long-period terms. Results are compared with numerical integration.
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