Ten Place Tables of the Jacobian Elliptic Functions. Part III.

Abstract

The report contains ten place tables of the Jacobian elliptic functions am(u,k) sn(n,k) cn(u,k) dn(u,k), E(am(u,k)) where u = the integral from zero to phi of ( d(theta)/the square root of (1-(k squared)(sin squared theta))); am(u,k) = phi; sn(u,k) = sin phi; cn(u,k) = cos phi; dn(u,k) = the square root of (1 - (k squared)(sin squared phi)); E(phi,k) = the integral from zero to phi of the square root of (1 - (k squared)(sin squared theta))d(theta) for k squared = .950 (.001).999, u = 0(.01)K(k) where K(k) = the integral from zero to pi/2 of (d(theta)/the square root of (1 - (k squared)(sin squared theta))). (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1971
Accession Number
AD0729198

Entities

People

  • Henry E. Fettis
  • James C. Caslin

Organizations

  • Air Force Research Laboratory

Tags

DTIC Thesaurus Topics

  • Integrals
  • Square Roots

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics