Accurate Potentials in Power Law Disks

Details Accurate Potentials in Power Law Disks Accurate Potentials in Power Law Disks

Apr 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007asd..soft...30h&link_type=abstract

Astrophysics Software Database, CAU Kiel, Germany (http://www1.astrophysik.uni-kiel.de/asd/).

Astronomy and Astrophysics

Astrophysics

Fortran

Scientific paper

APPlawD ("Accurate Potentials in Power Law Disks") determines the gravitational potential in the equatorial plane of a flat axially symmetric disk (inside and outside) with finite size and power law surface density profile. Potential values are computed on the basis of the "density splitting method" (Huré & Pierens, 2005, ApJ, 624, 289), were the residual Poisson integral is expanded over the modulus of the complete elliptic integral of the first kind. In contrast with classical multipole expansions of potential theory, the residual series has a cubic convergence rate inside sources, leading to very accurate potential values for low order truncations of the series.

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