Statistics – Computation
Scientific paper
Aug 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990a%26a...235..242c&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 235, no. 1-2, Aug. 1990, p. 242-244.
Statistics
Computation
2
Gravitational Collapse, Jeans Theory, Molecular Clouds, Computational Astrophysics, Modal Response, Perturbation Theory
Scientific paper
The applicability of standard normal mode analysis with the resulting gravitational instability criterion is discussed for some typical configurations. It is shown that the small-perturbation method, generally used in the literature, has to be applied locally only, the reason being that the medium of a self-gravitating cloud cannot be considered 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 the Jeans criterion, the gravitational instability sets in for perturbations having their linear dimensions larger than some critical length, L(J), the Jeans length. It is therefore of some importance to estimate the value of the ratio L/L(J) in order to be sure that the local-analysis conclusions are meaningful.
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