Two Kinds of Axially Symmetric Equilibrium Sequencesof Self-Gravitating and Rotating Incompressible Fluid ---Two-Ring Sequence and Core-Ring Sequence---

Details Two Kinds of Axially Symmetric Equilibrium Sequencesof Self-Gravitating and Rotating Incompressible Fluid ---Two-Ring Sequence and Core-Ring Sequence--- Two Kinds of Axially Symmetric Equilibrium Sequencesof Self-Gravitating and Rotating Incompressible Fluid ---Two-Ring Sequence and Core-Ring Sequence---

Apr 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983pthph..69.1131e&link_type=abstract

Progress of Theoretical Physics, Vol. 69, No. 4, pp. 1131-1136

Physics

9

Scientific paper

We have computed two kinds of axially symmetric equilibrium sequences of self-gravitating and uniformly rotating fluid which is composed of two disconnected bodies -- two-ring equilibrium and core-ring equilibrium. For the two-ring case there is only one sequence which does not suffer from mass-shedding. This sequence leads to (or bifurcates from) the Maclaurin sequence. For any other two-ring equilibrium sequence, mass-shedding occurs from the lighter ring to the heavier ring. The core-ring equilibrium also reaches a critical equilibrium beyond which there is no equilibrium with the uniform rotation owing to mass-shedding. If the differential rotation is taken into account, the core-ring sequence may lead to the two-ring sequence without mass-shedding after occurrence of the same kind of bifurcation as the Maclaurin leads to one-ring.

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