Abstract
The rotating two-body Manev problem is defined by means of the Hamiltonian function with (α, β)∈ℝ+×ℝ being two structural parameters. Using the Liouville–Arnold theorem and a particular analysis of the momentum map in its critical points, we obtain a complete topological classification of the different invariant sets of the phase flow of this problem. This analysis, in some aspects very computational, is made with the help of a standard commercial mathematical package.
Acknowledgements
This work has been partially supported by MCYT (grant numbers MTM2005-03860 and MTM2005-06098-C02-01), Fundación Séneca (grant numbers 00684–FI–04 and 05783–PI–07) and JCCM (grant numbers PAI06-0114 and PBC05-011-3).