Gravitational Equilibrium of a Multi-Body Fluid System

Details Gravitational Equilibrium of a Multi-Body Fluid System Gravitational Equilibrium of a Multi-Body Fluid System

Dec 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983pthph..70.1534e&link_type=abstract

Progress of Theoretical Physics, Vol. 70, No. 6, pp. 1534-1541

Physics

13

Scientific paper

We have computed gravitational equilibrium sequences for systems consisting of N incompressible fluid bodies (N = 3, 4, 5). The component fluids are assumed congruent. The system seems to become a lobe-like shape for N = 3 case and a ring-like shape for N >= 4 cases according as the fluid bodies come nearer to each other. For every sequence there is a critical equilibrium whose dimensionless angular momentum has the minimum value of the sequence.
As the final outcome is nearly in equilibrium in the computation of a collapsing gas cloud, we can apply the present results to the interpretation of these dynamical calculations. For instance, the gas cloud can never fissure into any N-body equilibrium when its dimensionless angular momentum is below the critical value of the N-body sequence.

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