Generation of potential/surface density pairs in flat disks Power law distributions

Details Generation of potential/surface density pairs in flat disks Power law distributions Generation of potential/surface density pairs in flat disks Power law distributions

2007-06-25

arxiv.org/abs/0706.3616v1

Astronomy and Astrophysics

Astrophysics

Accepted for publication in Astronomy & Astrophysics 7 pages, 8 figures, F90-code available at http://www.obs.u-bordeaux1.fr

Scientific paper

10.1051/0004-6361:20066808

We report a simple method to generate potential/surface density pairs in flat axially symmetric finite size disks. Potential/surface density pairs consist of a ``homogeneous'' pair (a closed form expression) corresponding to a uniform disk, and a ``residual'' pair. This residual component is converted into an infinite series of integrals over the radial extent of the disk. For a certain class of surface density distributions (like power laws of the radius), this series is fully analytical. The extraction of the homogeneous pair is equivalent to a convergence acceleration technique, in a matematical sense. In the case of power law distributions, the convergence rate of the residual series is shown to be cubic inside the source. As a consequence, very accurate potential values are obtained by low order truncation of the series. At zero order, relative errors on potential values do not exceed a few percent typically, and scale with the order N of truncation as 1/N**3. This method is superior to the classical multipole expansion whose very slow convergence is often critical for most practical applications.

Affiliated with

Also associated with

No associations

Rating

Generation of potential/surface density pairs in flat disks Power law distributions 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 Generation of potential/surface density pairs in flat disks Power law distributions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generation of potential/surface density pairs in flat disks Power law distributions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-230190