Statistics – Computation
Scientific paper
Aug 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989apj...343..142p&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 343, Aug. 1, 1989, p. 142-157. Research supported by SNSF and Observatoire
Statistics
Computation
7
Angular Velocity, Celestial Mechanics, Computational Astrophysics, Disk Galaxies, Galactic Rotation, Astronomical Models, Calculus Of Variations, Galactic Evolution, Polytropic Processes
Scientific paper
A theory for explaining the tendency of disk galaxies to display constant rotational velocities is proposed. The trend toward flat rotations curves is found to result from the minimization of the total energy of axisymmetric systems in equilibrium for which the main energy constituents are gravitational energy and kinetic energy of rotational motion. The model is compared with other situations involving spherical symmetry, including spherical polytropes.
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