Maclaurin hamburger sequence

Details Maclaurin hamburger sequence Maclaurin hamburger sequence

Jul 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...148..289e&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 148, no. 2, July 1985, p. 289-292.

Statistics

Computation

17

Branching (Mathematics), Computational Astrophysics, Gravitational Collapse, Maclaurin Series, Molecular Clouds, Rotating Fluids, Angular Momentum, Astronomical Models, Incompressible Fluids, Spheroids, Toroids

Scientific paper

The gravitational equilibrium sequence of an axisymmetric rotating incompressible fluid has been computed. The fluid has the same specific angular momentum distribution with mass as that of the Maclaurin spheroidal sequence. The present result clarifies the relation between the Maclaurin spheroidal sequence and the Maclaurin toroidal sequence. The Maclaurin spheroidal sequence bifurcates into a concave hamburger like configuration and reaches the Maclaurin toroidal sequence. The absolute value of the ratio of the rotational energy to the gravitational energy increases to 0.5 in the high angular momentum region.

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