Journal Article

On the global structure of self-gravitating discs for softened gravity

Jesper Sommer-Larsen, Henrik Vedel and Uffe Hellsten

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 294, issue 3, pages 485-488
Published in print March 1998 | ISSN: 0035-8711
Published online March 1998 | e-ISSN: 1365-2966 | DOI:
On the global structure of self-gravitating discs for softened gravity

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The effects of gravitational softening on the global structure of self-gravitating discs in centrifugal equilibrium are examined in relation to hydrodynamical/gravitational simulations. The one-parameter spline softening proposed by Hernquist & Katz is used.

It is found that if the characteristic size of a disc, r, is comparable to or less than the gravitational softening length, ε, then the cross-section of the simulated disc is significantly larger than that of a no-softening (Newtonian) disc with the same mass and angular momentum.

We demonstrate, furthermore, that if r≲ε/2 then the scaling relation r∝ε3/4 holds for a given mass and specific angular momentum distribution with mass. Finally, we compare some of the theoretical results obtained in this paper and a previous one with the results of numerical Tree-SPH simulations and find qualitative agreement.

Keywords: gravitation; methods: numerical; galaxies: kinematics and dynamics; galaxies: structure

Journal Article.  0 words. 

Subjects: Astronomy and Astrophysics

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