Inner Lindblad resonance in galaxies. Nonlinear theory. I.
Abstract
In the reported investigation use is made of the actionangle 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 actionangle variables. A thirdorder 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.
 Publication:

The Astrophysical Journal
 Pub Date:
 November 1975
 DOI:
 10.1086/153922
 Bibcode:
 1975ApJ...201..566C
 Keywords:

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