About an unsuspected integrable problem

Details About an unsuspected integrable problem About an unsuspected integrable problem

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..33..239m&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 33, July 1984, p. 239-250.

Mathematics

19

Celestial Mechanics, Gravitational Effects, Orbit Calculation, Particle Motion, Planetary Gravitation, Differential Equations, Numerical Integration, Secular Variations, Transformations (Mathematics)

Scientific paper

The motion of a particle orbiting a planet is investigated when both the gravitational attraction of the planet and the radial radiation force due to the sun are taken into account. Because of this latter force, a rotating frame is introduced so as to maintain the sun at fixed coordinates. It is established that the secular problem, which has two degrees of freedom, is completely integrable and that it possesses only periodical solutions. An explicit analytical solution is provided.

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