Two Kinds of Axially Symmetric Equilibrium Sequencesof Self-Gravitating and Rotating Incompressible Fluid ---Two-Ring Sequence and Core-Ring Sequence---
Abstract
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.
- Publication:
-
Progress of Theoretical Physics
- Pub Date:
- April 1983
- DOI:
- 10.1143/PTP.69.1131
- Bibcode:
- 1983PThPh..69.1131E