The complex geometry of Lagrange top
solv-int
2007-05-23 v1 Exactly Solvable and Integrable Systems
Abstract
We prove that the heavy symmetric top (Lagrange, 1788) linearizes on a two-dimensional non-compact algebraic group -- the generalized Jacobian of an elliptic curve with two points identified. This leads to a transparent description of its complex and real invariant level sets. We also deduce, by making use of a Baker-Akhiezer function, simple explicit formulae for the general solution of Lagrange top.
Cite
@article{arxiv.solv-int/9809012,
title = {The complex geometry of Lagrange top},
author = {Lubomir Gavrilov and Angel Zhivkov},
journal= {arXiv preprint arXiv:solv-int/9809012},
year = {2007}
}
Comments
LaTex, 26 pages