Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982a%26a...106...89c&link_type=abstract
Astronomy and Astrophysics, vol. 106, no. 1, Feb. 1982, p. 89-93.
Astronomy and Astrophysics
Astrophysics
27
Angular Momentum, Astrodynamics, Galactic Rotation, Planetary Rotation, Space Density, Star Clusters, Stellar Rotation, Celestial Mechanics, Gravitational Effects, Kinetic Energy, Scaling Laws
Scientific paper
The relationship between angular momentum density j and mass M is investigated for a number of astronomical objects, and an updated version of the log j versus log M diagram is presented. It is shown that the specific angular momentum density follows an M to the k power law, where k is greater than or equal to 2/3 but less than or equal to 3/4. It is also found that this relationship is scaled by a weak power of the density, and that this density dependence increases the slope of the log j-log M relation when it is derived for a sample of objects with different mean density values. The power law is explained in terms of the mechanical equilibrium between gravitational and rotational energy (Ozernoy, 1967). The relationship may also be used to predict a relationship between radius and mass for flat galaxies, with M at the 0.33-0.5 power. This conclusion is found to be in close agreement with observations.
Carrasco Luis
Roth Marcel
Serrano Alfonso
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