The nonlinear stage of gravitational instability in flat gaseous systems

Details The nonlinear stage of gravitational instability in flat gaseous systems The nonlinear stage of gravitational instability in flat gaseous systems

Jun 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980azh....57..497p&link_type=abstract

(Astronomicheskii Zhurnal, vol. 57, May-June 1980, p. 497-504.) Soviet Astronomy, vol. 24, May-June 1980, p. 287-291. Translati

Astronomy and Astrophysics

Astronomy

4

Astronomical Models, Galactic Evolution, Gravitational Fields, Interstellar Gas, Perturbation Theory, Adiabatic Conditions, Galactic Rotation, Nonlinearity, Protoplanets, Spiral Galaxies

Scientific paper

The nonlinear evolution of finite-amplitude perturbations that have arisen in flat, gaseous gravitating systems of finite thickness, such as the gaseous components of spiral galaxies, flat protogalaxies and highly flattened protoplanetary clouds, is discussed. Conditions are derived in terms of the gas adiabatic index for the strong growth of Jeans-type perturbations, taking into account the effects of nonlinear terms. The critical adiabatic index below which the perturbations can grow is found to be approximately 1.404, nearly equal to the adiabatic index of a diatomic gas.

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