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math-ph2002
A note on geodesics on ellipsoid
A. M. Perelomov
It is shown that the Jacobi problem of geodesics on ellipsoid may be reduced to more simple one, namely to the special case of the Clebsch problem. The last one may be solved direc…
math-ph2001
Kovalevskaya top -- an elementary approach
A. M. Perelomov
The goal of this note is to give an elementary and very short solution to equations of motion for the Kovalevskaya top. For this we use some results from original papers by Kovalev…
math-ph2001
Lax representation for the systems of S.Kowalevskaya type
A. M. Perelomov
We descibe a number of dynamical systems that are generalizations of S. Kowalevskaya system and admit the Lax representation.