Fast computation of Jacobian elliptic functions and incomplete elliptic integrals for constant values of elliptic parameter and elliptic characteristic

Details Fast computation of Jacobian elliptic functions and incomplete elliptic integrals for constant values of elliptic parameter and elliptic characteristic Fast computation of Jacobian elliptic functions and incomplete elliptic integrals for constant values of elliptic parameter and elliptic characteristic

Nov 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009cemda.105..245f&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 105, Issue 1-3, pp. 245-260

Astronomy and Astrophysics

Astronomy

5

Extended Body Dynamics, Rotation, Numerical Method, Elliptic Integrals, Jacobian Elliptic Functions

Scientific paper

In order to accelerate the numerical evaluation of torque-free rotation of triaxial rigid bodies, we present a fast method to compute various kinds of elliptic functions for a series of the elliptic argument when the elliptic parameter and the elliptic characteristic are fixed. The functions we evaluate are the Jacobian elliptic functions and the incomplete elliptic integral of the second and third kinds regarded as a function of that of the first kind. The key technique is the utilization of the Maclaurin series expansion and the addition theorems with respect to the elliptic argument. The new method is around 25 times faster than the method using the incomplete elliptic integral of general kind and around 70 times faster than the method using mathematical libraries given in the latest version of Numerical Recipes.

Affiliated with

Also associated with

No associations

Rating

Fast computation of Jacobian elliptic functions and incomplete elliptic integrals for constant values of elliptic parameter and elliptic characteristic 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 Fast computation of Jacobian elliptic functions and incomplete elliptic integrals for constant values of elliptic parameter and elliptic characteristic, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fast computation of Jacobian elliptic functions and incomplete elliptic integrals for constant values of elliptic parameter and elliptic characteristic will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1263500