On loosely wound spiral density waves of galaxies

Details On loosely wound spiral density waves of galaxies On loosely wound spiral density waves of galaxies

Jul 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979scisn..22..806x&link_type=abstract

Scientia Sinica, vol. 22, July 1979, p. 806-818.

Astronomy and Astrophysics

Astronomy

Asymptotic Methods, Density Wave Model, Hydrodynamic Equations, Spiral Galaxies, Wave Equations, Astronomical Models, Equations Of Motion, Perturbation Theory, Poisson Equation, Wave Propagation

Scientific paper

In this paper the loosely wound galactic spiral density wave is studied using a hydrodynamic model. The basic equation of wave propagation is derived, and the calculation is made for Toomre's (= 2) galactic model. The results show that the behaviors of loosely wound spiral density waves are considerably different from those of tightly wound ones. Owing to the existence of the 'loosely wound effect', a linear density wave with real wave numer, generally speaking, will always be unstable. For a trailing wave, its amplitude will grow within the corotation circle and decay outside the corotation circle. For a leading wave, the behavior is just the opposite.

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