A family of integrable perturbed Kepler systems

Abstract

In the framework of the Poisson geometry of twistor space we consider a family of perturbed 3-dimensional Kepler systems. We show that Hamilton equations of this systems are integrated by quadratures. Their solutions for some subcases are given explicitly in terms of Jacobi elliptic functions.

26 pages

Cited by in corpus (1)

• Integrable Hamiltonian systems on the symplectic realizations of $\text{e}(3{)}^{\ast }$