Precise computation of acceleration due to uniform ring or disk

Author: Fukushima, Toshio

Source: Celestial Mechanics and Dynamical Astronomy, Volume 108, Number 4, December 2010 , pp. 339-356(18)

Publisher: Springer

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Abstract:

We describe a precise numerical method to evaluate the acceleration vector of an inverse-square force law caused by a uniform ring or disk. The method consists of two parts. One is rewriting of the analytic expressions of the vector to reduce the loss of information in its computation. The other is a procedure to compute a special linear combination of the complete elliptic integrals of the first and the second kind appeared in the rewritten expressions.

Keywords: Complete elliptic integrals; Attraction of a ring; Attraction of a disk

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s10569-010-9304-4

Affiliations: 1: National Astronomical Observatory of Japan, 2-21-1, Ohsawa, Mitaka, Tokyo, 181-8588, Japan, Email: Toshio.Fukushima@nao.ac.jp

Publication date: 2010-12-01