Wave action conservation, over-reflection and over-transmission of non-axisymmetric waves in differentially rotating thin discs with self-gravity

Details Wave action conservation, over-reflection and over-transmission of non-axisymmetric waves in differentially rotating thin discs with self-gravity Wave action conservation, over-reflection and over-transmission of non-axisymmetric waves in differentially rotating thin discs with self-gravity

Jun 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992mnras.256..685n&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 256, no. 4, June 15, 1992, p. 685-694.

Astronomy and Astrophysics

Astronomy

14

Accretion Disks, Gravitational Effects, Rotating Disks, Solar System Evolution, Spiral Galaxies, Wave Propagation, Wave Reflection, Cylindrical Coordinates, Density Wave Model, Inertial Coordinates, Motion Stability, Perturbation

Scientific paper

The present examination of the effects of self-gravity on the over-reflection phenomena of linear nonaxisymmetric waves in differentially-rotating Keplerian disks uses coordinates that move with the unperturbed differential rotation. The transmission coefficient T and the reflection coefficient R of waves are obtained as functions of the normalized azimuthal wavenumber for various values of the self-gravity parameter. The results obtained indicate that self-gravity significantly enhances wave amplification. The phenomenon may be understood by analogy with the one-dimensional Schroedinger equation.

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