Toruń Centre for Astronomy
Nicolaus Copernicus University

Normalization algorithms of Hamiltonian near an equilibrium point

Maciejewski Andrzej J., Gozdziewski Krzysztof
1991

Algorithms of linear and nonlinear normalization of a Hamiltonian system near an equilibrium point are described. They were applied to determination of stability libration point in photogravitational restricted problem and to refinement of periodic orbits in the restricted three body problem.

Keywords
Algorithms, Computational Astrophysics, Equilibrium Equations, Hamiltonian Functions, Orbital Mechanics, Gravitational Effects, Libration, Linear Transformations, Three Body Problem