Normalization Algorithms of Hamiltonian Near an Equilibrium Point
Abstract
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.
 Publication:

Astrophysics and Space Science
 Pub Date:
 May 1991
 DOI:
 10.1007/BF00642349
 Bibcode:
 1991Ap&SS.179....1M
 Keywords:

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