Dynamic stabilization of non-spherical bodies against unlimited collapse

Details Dynamic stabilization of non-spherical bodies against unlimited collapse Dynamic stabilization of non-spherical bodies against unlimited collapse

2008-01-16

arxiv.org/abs/0801.2538v1

Astronomy and Astrophysics

Astrophysics

MNRAS, accepted, 7 pages, 9 figures

Scientific paper

10.1111/j.1365-2966.2008.12983.x

We solve equations, describing in a simplified way the newtonian dynamics of a selfgravitating nonrotating spheroidal body after loss of stability. We find that contraction to a singularity happens only in a pure spherical collapse, and deviations from the spherical symmetry stop the contraction by the stabilising action of nonlinear nonspherical oscillations. A real collapse happens after damping of the oscillations due to energy losses, shock wave formation or viscosity. Detailed analysis of the nonlinear oscillations is performed using a Poincar\'{e} map construction. Regions of regular and chaotic oscillations are localized on this map.

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