Construction of the first integral of the equation of orbital resonance

Details Construction of the first integral of the equation of orbital resonance Construction of the first integral of the equation of orbital resonance

Jan 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992mamea...1..106e&link_type=abstract

Sankt-Peterburgskii Universitet, Vestnik, Seriia 1 - Matematika, Mekhanika, Astronomiia (ISSN 0024-0850), no. 1, Jan. 1992, p. 1

Astronomy and Astrophysics

Astronomy

Mimas, Orbital Elements, Orbital Resonances (Celestial Mechanics), Tethys, Numerical Integration, Orbit Perturbation

Scientific paper

An analysis is made of a resonance equation for Saturn's satellite system Mimas-Tethys which includes several harmonics in the expansion of the perturbation function. An algorithm for determining the first integral of the equation in terms of a Poisson series is proposed and implemented. A part of the integral expression obtained by computer algebra methods is presented. An algorithm is proposed for the reducibility to canonic form of the dynamic system corresponding to the resonance equation.

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