Dynamics of rotating gaseous ellipsoid in external force fields

Details Dynamics of rotating gaseous ellipsoid in external force fields Dynamics of rotating gaseous ellipsoid in external force fields

Apr 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990pasj...42..217t&link_type=abstract

Astronomical Society of Japan, Publications (ISSN 0004-6264), vol. 42, no. 2, 1990, p. 217-247.

Statistics

Computation

3

Gravitational Collapse, Interstellar Gas, Rotating Matter, Tides, Computational Astrophysics, Equations Of Motion, Milky Way Galaxy

Scientific paper

General and computationally-tractable equations are presented for the large-amplitude motion of a uniform gaseous ellipsoid rotating in an external force field. When this force is expressed as a linear function of the rectangular coordinates in the space under consideration, the equation of motion is reduced to a set of ordinary differential equations for the angular velocity, semimajor-axes of the ellipsoid, circulation, and temperature of the gaseous medium; they are integrated as an initial-value problem. Ad hoc (though fairly realistic) equations are used for cooling and viscosity to reproduce the gravitational contractions of the rotating gaseous ellipsoid. As one application, a series of equilibrium states of a uniform interstellar gas cloud in the tidal force of the Galaxy was determined, and their gravitational contraction was followed to a compact elongated structure. Two types of contractions are also found; the one is smooth contraction and the other is a violent one in which the prolate ellipsoid tumbles end-over-end with large-scale gas circulation within it.

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