Astronomy and Astrophysics – Astronomy
Scientific paper
Sep 1995
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995mnras.276..453b&link_type=abstract
Monthly Notices of the Royal Astronomical Society, Volume 276, Issue 2, pp. 453-459.
Astronomy and Astrophysics
Astronomy
44
Gravitation, Celestial Mechanics, Stellar Dynamics, Galaxies: Structure, Dark Matter
Scientific paper
We consider models of thin discs (with and without bulges) in the Bekenstein-Milgrom formulation of MOND as a modification of Newtonian gravity. Analytic solutions are found for the full gravitational fields of Kuzmin discs, and of disc-plus-bulge generalizations of them. For all these models a simple relation between the MOND potential field, pi, and the Newtonian potential, rho_N, holds everywhere outside the disc: mu(--∇pi--/a_0)∇pi=∇rho_N. We give exact expressions for the rotation curves for these models. We also find that this algebraic relation is a very good approximation for exponential discs. The algebraic relation outside the disc is then extended into the disc to derive an improved approximation for the MOND rotation curve of disc galaxies, requiring only knowledge of the Newtonian curve and the surface density.
Brada Rafael
Milgrom Mordehai
No associations
LandOfFree
Exact solutions and approximations of MOND fields of disc galaxies does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exact solutions and approximations of MOND fields of disc galaxies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact solutions and approximations of MOND fields of disc galaxies will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-831218