Abstract
The distribution functions for the total linear and angular momentum ofN particles selected from an equilibrium gas are derived. The most probable momentum increases withN. If the particles of an astronomical system are assumed to come from an original ‘cosmic gas’, universal mass-versus-momentum relations can be derived. The derived mass-versus-angular momentum relation is similar but not identical to that which has been reported. The derived relationship applies to the initial conditions and evolutionary effects may account for the difference between this prediction and the observed relationship.
References
Birch, P.: 1982,Nature 298, 451.
Carrasco, L., Roth, M., and Serrano, A.: 1982,Astron. Astrophys. 106, 89.
Kendall, M. G. and Stuart, A.: 1963,The Advanced Theory of Statistics, Vol. I, Griffin, London.
Sisteró, R. F.: 1983,Astrophys. Letters 23, 235.
Trimble, V.: 1984,Astrophys. Space Sci. 104, 133.
Weinberg, S.: 1977,The First Three Minutes, Basic Books Inc., New York.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Macrossan, M.N. A thermodynamic origin of a universal mass-angular momentum relationship. Astrophys Space Sci 133, 403–410 (1987). https://doi.org/10.1007/BF00642499
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00642499