A Runge-Kutta Process for Starting Near-Circular Orbit Integrations.

Abstract

In order to use the eighth order Gauss-Jackson second sum method for integrating second order differential equations it is necessary to provide the first eight points by some other means. It is common practice to use the classical fourth order Runge-Kutta process for this purpose. This process is, however, rather inefficient. By a suitable choice of parameters for a fourth order process it is shown that a nearly three-fold improvement in starting efficiency can be obtained. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1972
Accession Number
AD0755744

Entities

People

  • R. H. Merson

Organizations

  • Royal Aircraft Establishment

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Circular Orbits
  • Differential Equations
  • Efficiency
  • Equations
  • Mathematics
  • Orbits

Fields of Study

  • Mathematics

Readers

  • Joint Military Operations and Doctrine.
  • Regression Analysis.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space