An Inverse of the Elliptic Coverage Function
Abstract
This report describes an algorithm, INELP, to evaluate an inverse of the elliptic coverage function, ELP. Given a circular target T centered at (h, k); r, the radius of T, is determined for a specified probability P of a shot falling in T under a two-dimensional normal distribution function with mean zero and standard deviations u, v. A Fortran 77 double-precision subroutine, INVELP, is available that is based on INELP. It produces r to approximately eight significant digits when 10(exp -20) is less than or equal to P less than or equal to 1 - 10(exp -11), 0 less than or equal to h / u less than or equal to 10(exp 14), and 0 less than or equal to k / v less than or equal to 10(exp 14). Appendixes contain refined limits of integration for P, Grubbs' approximation for r(sub 0), probability over a square circumscribing a circle, and a 28-page table that shows the tabulation of r as a function of P, h, k, v (u = 1).
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 2005
- Accession Number
- ADA468235
Entities
People
- Armido Didonato
Organizations
- Naval Surface Warfare Center