Solution of equations of problem of motion of a heavy rigid body about a fixed point in the Kowalevskaya's case using theta-function

Details Solution of equations of problem of motion of a heavy rigid body about a fixed point in the Kowalevskaya's case using theta-function Solution of equations of problem of motion of a heavy rigid body about a fixed point in the Kowalevskaya's case using theta-function

Mar 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983cemec..29..249e&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 29, March 1983, p. 249-253.

Mathematics

3

Celestial Mechanics, Equations Of Motion, Fixed Points (Mathematics), Hamilton-Jacobi Equation, Potential Fields, Rigid Structures, Abel Function, Elliptic Functions, Particle Motion, Time Functions

Scientific paper

Equations of motion of a heavy rigid body about a fixed point in the
Kowalevskaya's case are reduced to those of the plane motion of a
particle under the action of potential force. In the new form of
equations of motion, elliptic coordinates λ, μ are used, and
motion has taken the Hamilton-Jacobi form.

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