Integrable cases and motion trajectories in the Gylden-Meshcherskii problem

Details Integrable cases and motion trajectories in the Gylden-Meshcherskii problem Integrable cases and motion trajectories in the Gylden-Meshcherskii problem

Feb 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989azh....66..135b&link_type=abstract

Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 66, Jan.-Feb. 1989, p. 135-151. In Russian.

Astronomy and Astrophysics

Astronomy

4

Celestial Mechanics, Newton Theory, Orbit Calculation, Trajectory Analysis, Differential Equations, Eccentricity, Integral Equations, Theorem Proving

Scientific paper

The autonomization method was used to find all possible laws of mass variation. In effect, the classical nonstationary Gylden-Meshcherskii problem was reduced to the stationary form. All possible motion trajectories in the Gylden-Meshcherskii problem were found for the mass variation laws obtained. Consideration is given to the class of orbits with a variable parameter and constant eccentricity.

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