The central drop configurations

Details The central drop configurations The central drop configurations

Apr 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cemec..35..383n&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 35, April 1985, p. 383-396.

Statistics

Computation

1

Astronomical Models, Computational Astrophysics, Drops (Liquids), Dynamic Stability, Star Clusters, Circular Orbits, Existence Theorems, Galaxies, Libration, Open Clusters, Theorem Proving, Virial Theorem

Scientific paper

The central-configuration analysis of Nezhinskii (1980, 1982, and 1983) is extended to configurations comprising a point mass, a homogeneous sphere, and several homogeneous fluid drops. The existence of such configurations and the stability of the droplets (in the linear approximation) are demonstrated using the virial approach of Chandrasekhar (1969). Some numerical results are presented graphically, and the astrophysical analogs of these configurations are indicated: it is inferred that an open star cluster in circular orbit about the center of a galaxy can be dynamically stable.

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