Inner Lindblad resonance in galaxies - Nonlinear theory. I

Details Inner Lindblad resonance in galaxies - Nonlinear theory. I Inner Lindblad resonance in galaxies - Nonlinear theory. I

Nov 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975apj...201..566c&link_type=abstract

Astrophysical Journal, vol. 201, Nov. 1, 1975, pt. 1, p. 566-584.

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Applications

55

Galactic Structure, Orbital Elements, Orbital Resonances (Celestial Mechanics), Resonance, Spiral Galaxies, Stellar Motions, Astronomical Models, Celestial Mechanics, Hamiltonian Functions, Orbit Perturbation

Scientific paper

In the reported investigation use is made of the action-angle variables employed by Kalnajs (1971) in the study of galactic resonant problems. The Hamiltonian corresponding to a spiral galaxy is expressed with the aid of action-angle variables. A third-order epicyclic theory is used and the spiral perturbation relations are developed. Attention is given to resonant orbits, the resonant form of the Hamiltonian, the periodic orbits near resonance, and questions of applications.

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