Applicability of Jeans criterion.

Details Applicability of Jeans criterion. Applicability of Jeans criterion.

Mar 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995pobeo..48..191c&link_type=abstract

Publications de l'Observatoire Astronomique de Beograd, No. 48, p. 191 - 202

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Gravitational Instability: Gas Clouds

Scientific paper

The applicability of the gravitational instability criterion is discussed for some typical configurations. It is shown that the small perturbation method has to be applied only locally, the reason being that the medium of a self-gravitating cloud cannot be considered as homogeneous throughout the whole space. Consequently, there is an upper limit to the geometrical size of a perturbation, defined by the typical inhomogeneity scale length L. On the other hand, according to Jeans criterion, the gravitational instability sets in for perturbations having their linear dimensions larger than some critical length LJ, the Jeans length. It is therefore of importance to estimate the value of the ratio L/LJ in order to be sure that the local analysis conclusions are meaningful.

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