A new class of periodic solutions in the Kovalevskaya case of a rigid body in rotation about a fixed point

Details A new class of periodic solutions in the Kovalevskaya case of a rigid body in rotation about a fixed point A new class of periodic solutions in the Kovalevskaya case of a rigid body in rotation about a fixed point

Sep 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..37...71e&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 37, Sept. 1985, p. 71-79.

Physics

Celestial Mechanics, Equations Of Motion, Rigid Structures, Rotating Bodies, Elliptic Functions, Integrals

Scientific paper

The equation of motion of a rigid body in Kovalevskaya case is reduced
to a plane motion. By using the method of small parameters introduced by
Poincaré, the existence of a periodic solution is established.

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