Formal integral of motion for Kuzmin's potential with a small perturbation

Details Formal integral of motion for Kuzmin's potential with a small perturbation Formal integral of motion for Kuzmin's potential with a small perturbation

Apr 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989azh....66..428g&link_type=abstract

Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 66, Mar.-Apr. 1989, p. 428-431. In Russian.

Statistics

Computation

Orbit Perturbation, Perturbation Theory, Stellar Motions, Astrodynamics, Computational Astrophysics, Cylindrical Coordinates

Scientific paper

The corrections to the third (quadratic) integral of motion in stars for
Kuzmin's perturbed potential are found using Contopoulos' method. The
corrections are of the sixth order in phase coordinates, including a
fourth-order correction in velocities. They are the first terms of a
formal integral represented as a series of unknown convergence.

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