Periodic solutions in the Kovalevskaya case of a rigid body in rotation about a fixed point

Details Periodic solutions in the Kovalevskaya case of a rigid body in rotation about a fixed point Periodic solutions in the Kovalevskaya case of a rigid body in rotation about a fixed point

Jul 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992ap%26ss.193..309e&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 193, no. 2, July 1992, p. 309-315.

Astronomy and Astrophysics

Astrophysics

1

Asymptotic Methods, Celestial Mechanics, Equations Of Motion, Integrals, Poincare Problem, Rigid Structures, Elliptic Functions, Jacobi Matrix Method

Scientific paper

The method of small parameters introduced by Poincare is used to obtain
the period solution of the problem of a rigid body in the Kovalevskaya
case with k (the Kovalevskaya constant of integration) as a small
parameter. The asymptotic solution is obtained in terms of elliptic
integrals for the (complete integrable) Kovalevskaya top.

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