A predictability limit for collapsing isothermal spheres

Details A predictability limit for collapsing isothermal spheres A predictability limit for collapsing isothermal spheres

Jun 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979apj...230..839b&link_type=abstract

Astrophysical Journal, Part 1, vol. 230, June 15, 1979, p. 839-846.

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20

Dynamic Stability, Gravitational Collapse, Hydrodynamics, Perturbation Theory, Stellar Evolution, Bessel Functions, Density Distribution, Euler-Lagrange Equation, Isothermal Processes, Jeans Theory, Nonequilibrium Conditions, Radial Velocity, Velocity Distribution

Scientific paper

Using numerical hydrodynamic techniques, we have analyzed the radial instabilities of the nonhomologous collapse of isothermal spheres. The linear stability analysis shows that modes with shorter and shorter lengths become unstable as the collapse proceeds, as expected from a simple application of the Jeans criterion. The nonlinear analysis shows that the large-scale structure of the cloud is affected by initial perturbations in less than the free-fall time. We take these results to imply that, given the practical impossibility of knowing the initial spectrum of perturbations, no theoretical calculation can predict the complete evolution of a collapsing cloud.

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