Mathematics – Dynamical Systems
Scientific paper
Jan 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979apj...227..407m&link_type=abstract
Astrophysical Journal, Part 1, vol. 227, Jan. 15, 1979, p. 407-414.
Mathematics
Dynamical Systems
67
Astronomical Models, Galactic Evolution, Galactic Structure, Gravitational Collapse, Self Consistent Fields, Stellar Systems, Astrodynamics, Many Body Problem, Stellar Motions
Scientific paper
The self-consistent dynamical development of six stellar systems, started from rotating spherical configurations, has been studied by means of a fully three-dimensional n-body integration. The six examples had different initial angular velocities and velocity dispersions. All settled down into prolate bars rotating about a short axis within two initial rotation periods. The bars are long-lived, robust, and stable. Bars are the natural form toward which rapidly rotating stellar dynamical systems develop, instead of the flattened axisymmetric disks that had been expected. The early stages of each collapse are reasonably well described by a theoretical model according to which a collapse passes through a sequence of rigidly rotating, uniform-density spheroids. The first significant departures from spheroidal form were axisymmetric in all cases. Rings formed in some examples, sheets in others, with transition cases between these extremes. Nonaxisymmetric forms developed from these intermediate stages.
Miller Richard H.
Smith Barbara F.
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