1:1:1 resonant periodic orbits in 3dimensional galactictype Hamiltonians
Abstract
Using a seminumerical method we find the position and frequency of several types of periodic orbits, in galactic type 3dimensional Hamiltonian systems, in the 1:1:1 resonance. Our results are compared with those given by numerical integration of the equations of motion. It is found that, when the maximum perturbation is less or equal to about 10% of the unperturbed Hamiltonian, the agreement is good.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 February 1994
 Bibcode:
 1994A&A...282...34C
 Keywords:

 Galactic Structure;
 Hamiltonian Functions;
 Kinematics;
 Orbit Calculation;
 Orbit Perturbation;
 Orbital Resonances (Celestial Mechanics);
 Stellar Orbits;
 Three Body Problem;
 Three Dimensional Models;
 Astronomical Models;
 Equations Of Motion;
 Harmonic Oscillators;
 Least Squares Method;
 Numerical Integration;
 Astrophysics