Physics
Scientific paper
Jan 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991zhetf..99....3d&link_type=abstract
Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki (ISSN 0044-4510), vol. 99, Jan. 1991, p. 3-21. In Russian.
Physics
4
Gravitational Effects, Planetary Waves, Rotating Fluids, Turbulence Effects, Binary Stars, Galactic Nuclei, Jeans Theory, Mass Spectra, Perturbation Theory
Scientific paper
A nonlinear equation is derived for the dynamics of the perturbations of a small but finite-amplitude gas system of inhomogeneous density rotating as a rigid body. In the particular case of short-wave perturbations this equation reduces to the Charney-Obukhov or Hasegawa-Mima equation. The weak turbulence spectrum of the equation leads to familiar relationships between the main parameters of the galactic gas population and, in particular, to the stellar mass spectrum discovered by Salpeter (1955). The stationary Larichev-Reznik solution of the equation is obtained in the form of a dipole solitary vortex (modon) with a circular separatrix. Possible manifestations of modons in double galaxies, double gaalxy nuclei, and double stars are examined.
Dolotin Valerii V.
Fridman Alexei M.
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