Harmonic Function Expansion of Nearly Oblate Systems

Details Harmonic Function Expansion of Nearly Oblate Systems Harmonic Function Expansion of Nearly Oblate Systems

1995-05-18

arxiv.org/abs/astro-ph/9505086v1

Mon.Not.Roy.Astron.Soc. 276 (1995) 1009

Astronomy and Astrophysics

Astrophysics

8 pages, PostScript, to appear in Monthly Notices, also available at http://www.cita.utoronto.ca/~syer/papers/

Scientific paper

We show how to develop an expansion of nearly oblate systems in terms of a set of potential-density pairs. A harmonic (multipole) structure is imposed on the potential set at infinity, and the density can be made everywhere regular. We concentrate on a set whose zeroth order functions describe the perfect oblate spheroid of de Zeeuw (1985). This set is not bi-orthogonal, but it can be shown to be complete in a weak sense. Poisson's equation can be solved approximately by truncating the expansion of the potential in such a set. A simple example of a potential which is not one of the basis functions is expanded using the symmetric members of the basis set up to fourth order. The basis functions up to first order are reconstructed approximately using 10,000 particles to show that this set could be used as part of an $N$-body code.

Affiliated with

Also associated with

No associations

Rating

Harmonic Function Expansion of Nearly Oblate Systems 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 Harmonic Function Expansion of Nearly Oblate Systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Harmonic Function Expansion of Nearly Oblate Systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-243982