On the dynamics of the four-dimensional rigid body in a quadratic potential field
Author(s) -
Angel Zhivkov,
Milena Stanislavova
Publication year - 1995
Publication title -
journal of mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.708
H-Index - 119
eISSN - 1089-7658
pISSN - 0022-2488
DOI - 10.1063/1.531285
Subject(s) - rigid body , quadratic equation , rotation (mathematics) , mathematics , dynamics (music) , degrees of freedom (physics and chemistry) , field (mathematics) , classical mechanics , rigid body dynamics , potential field , mathematical analysis , physics , mathematical physics , pure mathematics , geometry , quantum mechanics , geophysics , acoustics
We study the nondegenerated solutions of the rotation of a four‐dimensional rigid body in a quadratic potential field. This problem has 6 degrees of freedom. We obtain 143 topologically different solutions and explicit formulas in Prym theta‐functions.
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