Elastic Curves on the Sphere

Abstract

This paper deals with the derivation of equations suitable for the computation of elastic curves on the sphere. To this end equations for the main invariants of spherical elastic curves are given. A new method for solving geometrically constraint Differential equations is used to compute the curves for given initial values. A classification of the fundamental forms of the curves is presented.... Elastic curves, Geometrically constraint differential equations.

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Document Details

Document Type
Technical Report
Publication Date
Dec 16, 1992
Accession Number
ADA261057

Entities

People

  • Guido Brunnett
  • Peter E. Crouch

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Classification
  • Coefficients
  • Computer Science
  • Computer-Aided Design
  • Curvature
  • Differential Equations
  • Differential Geometry
  • Equations
  • Geometric Forms
  • Geometry
  • Lines (Geometry)
  • Mathematics
  • Numbers
  • Schools
  • Shape
  • Standards
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Regression Analysis.