Semi-analytical theory for the motion of Uranus' satellites

Details Semi-analytical theory for the motion of Uranus' satellites Semi-analytical theory for the motion of Uranus' satellites

Oct 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991a%26a...250..253l&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 250, no. 1, Oct. 1991, p. 253-265.

Astronomy and Astrophysics

Astrophysics

3

Celestial Mechanics, Planetary Orbits, Uranus Satellites, Astronomical Models, Orbit Perturbation

Scientific paper

A complete semi-analytical theory for the motion of the five greatest Uranian satellites is presented. The classical Laplace-Souillart theory was adopted considering the perturbations due to the mutual interaction between the satellites, due to the gravitational attraction of the sun and due to Uranus' potential. Analytical solutions were obtained for the eccentricities, the inclinations, the arguments of the pericenters and the longitudes of the nodes. Semi-analytical solutions were developed for the semi-major axis and the mean longitudes. Exhaustive comparisons show that the present theory is complete from the theoretical point of view giving results which are perfectly compatible with those obtained by other authors.

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