Isothermal spheres in the modified dynamics
1984; IOP Publishing; Volume: 287; Linguagem: Inglês
10.1086/162716
ISSN1538-4357
Autores Tópico(s)Astro and Planetary Science
Resumoview Abstract Citations (106) References (24) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Isothermal spheres in the modified dynamics Milgrom, M. Abstract Dynamics which differ from the Newtonian in the limit of small accelerations are used in the present consideration of self-gravitating isotropic and anisotropic isothermal spheres (IS), which serve as reference models for such astrophysical objects as globular and open clusters, galactic bulges, and clusters of galaxies. In these spheres, both the radial and the tangential velocity dispersions are independent of the radius. All ISs have finite mass, and their density decreases asymptotically according to a power law. There is an absolute maximum to the average surface density an IS can have, irrespective of the velocity dispersion, anisotropy ratio, or any other property of the IS. The mass of an IS is nearly proportional to the fourth power of the space velocity dispersion, sigma. Attention is given to a class of solutions for which acceleration is much smaller than the acceleration constant everywhere in the sphere, as is the case in clusters of galaxies, dwarf ellipticals, and some open clusters. Publication: The Astrophysical Journal Pub Date: December 1984 DOI: 10.1086/162716 Bibcode: 1984ApJ...287..571M Keywords: Celestial Sphere; Galactic Clusters; Globular Clusters; Gravitational Effects; Isotherms; Stellar Motions; Anisotropy; Asymptotic Methods; Integral Equations; Newton Theory; Astrophysics full text sources ADS |
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