Stability of a contracting flat model stellar system of finite radius

Details Stability of a contracting flat model stellar system of finite radius Stability of a contracting flat model stellar system of finite radius

Feb 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985pazh...11...89n&link_type=abstract

(Pis'ma v Astronomicheskii Zhurnal, vol. 11, Feb. 1985, p. 89-93) Soviet Astronomy Letters (ISSN 0360-0327), vol. 11, Jan.-Feb.

Astronomy and Astrophysics

Astronomy

Collapse, Nonlinear Systems, Perturbation, Stellar Models, Stellar Systems, Legendre Functions, Pressure, Stability

Scientific paper

An exact, self-consistent, nonlinear model of a contracting, pressure-free stellar system having the form of a nonrotating, finite-radius disk is constructed in the Newtonian approximation. This nonstationary model is tested for stability against asymmetric perturbations. For all perturbation models other than the trivial harmonics, power-law Jeans instability will develop, disrupting the self-similar collapse process and causing the disk to break into separate pieces.

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