On the stability of periodic Poincaré solutions of Hamiltonian systems in the degenerate case
The sufficient conditions for the orbital stability of periodic Poincaré solutions in the case of natural degeneracy are obtained for a certain class of Hamiltonian systems with two degrees of freedom. The orbital stability of periodic Poincaré solutions in the problem of periodic motions relative to the centre of mass of a dynamically symmetric artificial satellite with an inertia ellipsoid close to a sphere, in a circular orbit, is investigated as an application.
Hamiltonian systems with two degrees of freedom
dynamically symmetric artificial satellite
scientific article; zbMATH DE number 3909823