Elliptic Integrals in the Minkowski Plane

Abstract

Expressions for the perimeter of the unit circle of a normal linear plane in terms of elliptic integrals of the first and second kinds are given. Asymptotic results, where the center is close to the boundary are discussed. An affine transformation is used to obtain similar results for an ellipse.

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Document Details

Document Type
Technical Report
Publication Date
May 09, 1991
Accession Number
ADA236710

Entities

People

  • Dave Logothetti
  • Mostafa Ghandehari

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Banach Space
  • Bodies
  • Boundaries
  • Classification
  • Convex Bodies
  • Convex Sets
  • Coordinate Systems
  • Hypergeometric Functions
  • Inequalities
  • Integrals
  • Mathematics
  • Notation
  • Security
  • Theorems
  • Trigonometry
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Mathematical Modeling and Probability Theory.