Stellar dynamics of spiral galaxies - Nonlinear effects at the 4/1 resonance

Details Stellar dynamics of spiral galaxies - Nonlinear effects at the 4/1 resonance Stellar dynamics of spiral galaxies - Nonlinear effects at the 4/1 resonance

Jan 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986a%26a...155...11c&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 155, no. 1, Jan. 1986, p. 11-23.

Astronomy and Astrophysics

Astrophysics

90

Astronomical Models, Resonance, Spiral Galaxies, Stellar Orbits, Corotation, Density Distribution, Interstellar Gas, Nonlinear Systems

Scientific paper

It is found that the main families of orbits in a realistic model of a spiral galaxy enhance the spiral arms up to the resonance epicyclic frequency/angular velocity in the rotating frame = 4/1. Beyond this resonance the response density is out of phase, if the density excess is strong enough. Therefore strong spirals seem to terminate near the 4/1 resonance. If the amplitude is very small the response is in phase up to corotation; thus the results of the linear theory are recovered. The same results are derived by considering the motions of gas clouds that undergo collisions at each spiral arm.

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