Astronomy and Astrophysics – Astronomy
Scientific paper
Jun 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980azh....57..505r&link_type=abstract
(Astronomicheskii Zhurnal, vol. 57, May-June 1980, p. 505-510.) Soviet Astronomy, vol. 24, May-June 1980, p. 291-294. Translati
Astronomy and Astrophysics
Astronomy
1
Density Wave Model, Disk Galaxies, Galactic Evolution, Spiral Galaxies, Nonlinear Systems, Wave Interaction
Scientific paper
Equations describing the nonlinear interaction of spiral density waves in flat galaxies are obtained by the method of averaged Lagrangians. Galaxies are modeled by an infinitely thin gas disk. The instability of a moderate-amplitude density wave against nonlinear breakup into several trigger spiral waves is considered; the conditions whereby such instability can set in are established and its growth rate is determined. Mutual interaction of spiral density waves should be taken into account when discussing the evolution of spiral arms in galaxies.
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