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- Title
Precise computation of acceleration due to uniform ring or disk.
- Authors
Fukushima, Toshio
- 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.
- Subjects
DISKS (Astrophysics); ACCELERATION (Mechanics); CELESTIAL mechanics; GRAVITATIONAL fields; MATHEMATICAL combinations; ELLIPTIC functions; ORBITAL mechanics; RINGS of Saturn; SATURN (Planet)
- Publication
Celestial Mechanics & Dynamical Astronomy, 2010, Vol 108, Issue 4, p339
- ISSN
0923-2958
- Publication type
Article
- DOI
10.1007/s10569-010-9304-4