Separation of variables in one partial integrable case of Goryachev

Details Separation of variables in one partial integrable case of Goryachev Separation of variables in one partial integrable case of Goryachev

2010-12-20

arxiv.org/abs/1012.4379v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTex, 6 pages

Scientific paper

We show that the equations of motion in one partial integrable case of
Goryachev in the rigid body dynamics can be separated by the appropriate change
of variables, the new variables x, y being hyperelliptic functions of time. The
natural phase variables (components of coordinates and momenta) are expressed
via x,y explicitly in elementary algebraic functions.

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