1:1:1 resonant periodic orbits in 3-dimensional galactic-type Hamiltonians

Details 1:1:1 resonant periodic orbits in 3-dimensional galactic-type Hamiltonians 1:1:1 resonant periodic orbits in 3-dimensional galactic-type Hamiltonians

Feb 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...282...34c&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 282, no. 1, p. 34-36

Astronomy and Astrophysics

Astrophysics

3

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

Scientific paper

Using a semi-numerical method we find the position and frequency of several types of periodic orbits, in galactic type 3-dimensional 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.

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