A second order Laplace-Lagrange theory applied to the uranian satellite system.

Details A second order Laplace-Lagrange theory applied to the uranian satellite system. A second order Laplace-Lagrange theory applied to the uranian satellite system.

Nov 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997a%26a...327..416c&link_type=abstract

Astronomy and Astrophysics, v.327, p.416-427

Astronomy and Astrophysics

Astrophysics

7

Celestial Mechanics, Satellites: Satellites Of Uranus, Methods: Analytical

Scientific paper

Computer algebra is used to derive analytical expressions for the elements of a secular perturbation theory of the second order in the masses. The linear part of this theory is incorporated into the standard Laplace-Lagrange solution which is then applied to the motion of the uranian satellites. This enables the effects of mean motion near-resonances in this system to be modelled. The results are in very good agreement with the filtered output of a numerical integration by Malhotra et al. (1989A&A...221..348M). The additional complexities of studying the outer solar system using a similar approach are discussed.

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