Separation of variables in one partial integrable case of Goryachev
Exactly Solvable and Integrable Systems
2010-12-22 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1012.4379,
title = {Separation of variables in one partial integrable case of Goryachev},
author = {Pavel E. Ryabov},
journal= {arXiv preprint arXiv:1012.4379},
year = {2010}
}
Comments
LaTex, 6 pages