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Free-Fall Collapse of an Homogeneous Spheroid

Whitworth's (1981) Isothermal Free-Energy Surface
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  • D. Lynden-Bell (1962), Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 58, Issue 4, pp. 709 - 711: On the gravitational collapse of a cold rotating gas cloud
    NOTE … according to the new ADS listing, the authors associated with this paper title should be, D. Lynden-Bell & C. T. C. Wall

In the course of researches on the formation of galaxies one meets the following idealized problem. What is the form of the collapse under gravitational forces of a uniformly rotating spheroidal gas cloud? In the special case where initially the gas is absolutely cold and of uniform density within the spheroid, we show that the collapse proceeds through a series of uniform, uniformly rotating spheroids until a disk is formed.

  • D. Lynden-Bell (1964), ApJ, 139, 1195: On Large-Scale Instabilities during Gravitational Collapse and the Evolution of Shrinking Maclaurin Spheroids
  • Classic paper by C. C. Lin, Leon Mestel, and Frank Shu (1965, ApJ, 142, 143) titled, "The Gravitational Collapse of a Uniform Spheroid."

See Also

Whitworth's (1981) Isothermal Free-Energy Surface

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