Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990acaps..10...12h&link_type=abstract
(Acta Astrophysica Sinica, vol. 10, no. 1, 1990, p. 12-22) Chinese Astronomy and Astrophysics (ISSN 0275-1062), vol. 14, June 19
Astronomy and Astrophysics
Astrophysics
Gravitational Collapse, Pressure Gradients, Spheroids, Polytropic Processes, Prolate Spheroids, Thermodynamic Properties
Scientific paper
The effect of a density inhomogeneity on the gravitational collapse of a spheroid is discussed. It is shown that a small initial density inhomogeneity which decreases outwards will lead to a considerable pressure gradient which will tend to resist gravitation at the late stage of the collapse. This effect depends strongly on the thermodynamic process. An oblate inhomogeneous spheroid will oscillate for the polytropic process with index 5/3. For a prolate inhomogeneous spheroid with a large initial ellipticity, however, the instability proposed by Lin et al. (1965) may even be strengthened.
He Nan
Yue Zeng-Yuan
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