Unstable Spiral Modes in Disk-Shaped Galaxies

Physics

Scientific paper

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Scientific paper

The mechanisms for the maintenance and the excitation of trailing spiral modes of density waves in disk-shaped galaxies, as proposed by Lin in 1969 and by Mark recently, are substantiated by an analysis of the gas-dynamical model of the galaxy. The self-excitation of the unstable mode is caused by waves propagating outwards from the corotation circle, which carry away angular momentum of a sign opposite to that contained in the wave system inside that circle. Specifically, a simple dispersion relationship is given as a definite integral, which allows the immediate determination of the pattern frequency and the amplification rate, once the basic galactic model is known.

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