Growth of a Bar Perturbation during Isothermal Collapse

Details Growth of a Bar Perturbation during Isothermal Collapse Growth of a Bar Perturbation during Isothermal Collapse

Aug 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999apj...521..703h&link_type=abstract

The Astrophysical Journal, Volume 521, Issue 2, pp. 703-707.

Astronomy and Astrophysics

Astronomy

25

Stars: Binaries: General, Gravitation, Hydrodynamics, Instabilities, Stars: Formation

Scientific paper

We investigate the stability of a similarity solution for a gravitationally collapsing isothermal sphere by means of a normal-mode analysis. When the central density increases in proportion to rho_c~(t_0-t)^-2, the bar mode grows in proportion to (t_0-t)^-0.354. Here the symbol t denotes the time and the symbol t_0 denotes an epoch. When the bar mode grows, the dense part of the collapsing cloud becomes either a thin filament or a disk. Since a thin filament is likely to fragment, the bar-mode instability will probably result in multiple stars at the center of the collapsing cloud.

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