NUMERICAL METHODS FOR SOLVING FINITE DIFFERENCE EQUATIONS AND THEIR USE IN THE COMPUTATION OF ORBITS OF ARTIFICIAL SATELLITES OF THE EARTH.

Abstract

The need for such methods arose in solving certain celestial mechanics problems in which one had to find the solution of a system of nonlinear differential equations describing motion over long time intervals. These problems involved the determination of the time of existence of an artificial satellite, the determination of the evolution of a satellite's orbit, the interval of validity of a given prognosis of an orbit, etc. The methods presented are of a general nature and can be used for the solution of a broad class of nonlinear oscillatory systems. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 15, 1961
Accession Number
AD0615399

Entities

People

  • G. P. Taratynova

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Celestial Mechanics
  • Difference Equations
  • Differential Equations
  • Equations
  • Intervals
  • Mechanics
  • Nonlinear Differential Equations
  • Time Intervals

Fields of Study

  • Mathematics

Readers

  • Astronomy and Astrophysics.
  • Operations Research
  • Theoretical Analysis.

Technology Areas

  • Space
  • Space - Orbital Debris