The Hyperbolic Kepler's Equation, and the Elliptic Equation Revisited

Abstract

A procedure is developed that, in two iterations, solves the hyperbolic Kepler's equation in a very efficient manner, and to an accuracy that proves to be always better than 10 to the minus 20th power (relative truncation error). Earlier work on the elliptic equation has been extended by the development of a new procedure that solves to a maximum relative error of 10 to the minus 14th power. Keywords: Great Britain.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1989
Accession Number
ADA213663

Entities

People

  • A. W. Odell
  • Robert H. Gooding

Organizations

  • Royal Aircraft Establishment

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Celestial Mechanics
  • Computations
  • Computers
  • Convergence
  • Equations
  • Errors
  • Foreign Languages
  • Iterations
  • Mechanics
  • Numbers
  • Orbital Elements
  • Precision
  • Standards
  • Theorems
  • Truncation

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis