Precise computation of acceleration due to uniform ring or disk

Details Precise computation of acceleration due to uniform ring or disk Precise computation of acceleration due to uniform ring or disk

Dec 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010cemda.108..339f&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 108, Issue 4, pp.339-356

Astronomy and Astrophysics

Astronomy

3

Complete Elliptic Integrals, Attraction Of A Ring, Attraction Of A Disk

Scientific paper

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.

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