A semi-numerical method for resonances in galactic-type Hamiltonians

Details A semi-numerical method for resonances in galactic-type Hamiltonians A semi-numerical method for resonances in galactic-type Hamiltonians

Jul 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...287..752c&link_type=abstract

Astronomy and Astrophysics 287, 752-756 (1994)

Astronomy and Astrophysics

Astrophysics

11

Celestial Mechanics, Stellar Dynamics, Galaxy: Kinematics And Dynamics

Scientific paper

A semi-numerical method is used for the derivation of the parameters (position and frequency) of the resonant periodic orbits, in a galactic type two dimensional Hamiltonian system. Two kinds of periodic orbits are found: (i) orbits starting perpendicularly from the x-axis and (ii) orbits going through the origin. The comparison of our results, with those given by numerical integration of the equations of motion shows that, when the maximum perturbation is less or equal to about 10% of the unperturbed Hamiltonian, the agreement is good.

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