Polytropic gas bodies and the problem of stability

Details Polytropic gas bodies and the problem of stability Polytropic gas bodies and the problem of stability

Jun 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978cha%26a..19...66h&link_type=abstract

Acta Astronomica Sinica, vol. 19, June 1978, p. 66-80. In Chinese, with abstract in English.

Other

Dynamic Stability, Gas Dynamics, Polytropic Processes, Stellar Evolution, Stellar Structure, Gravitational Effects, Isothermal Processes, Magnetohydrodynamic Stability, Singularity (Mathematics), Stellar Atmospheres

Scientific paper

With reference to polytropes, a generalized Lame-Emden equation of index n is obtained by introducing two defined nondimensional variables. The equation is applicable for any value of n (including the isothermal case) except for n equal to 1, which is the constant pressure case. The solutions are considered in terms of the characteristics of singular points on a plane, and an instability criterion is derived. This criterion permits transformation of the stability problem into a geometrical problem, and, for the Emden solution, the whole range of n is divided into a stable region, a thermally unstable region, and a gravitationally unstable region.

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