THE EQUATORIAL ORBIT OF A NEAR-EARTH SATELLITE

Abstract

The orbit of a near-earth satellite is described by finite equations x equals x(t), y equals y(t), z equals z(t) which closely approximate the position of the satellite. Various sets of approximate equations were proposed by various authors but in no case has it been possible to establish rigorous error bounds for these solutions. This is true even when the only non-inverse-square force is due to the oblateness of the earth. Realistic and strict numerical error bounds for an approximate solution are given. Special though this case is, a complete error analysis may have some interest. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1961
Accession Number
AD0266634

Entities

People

  • J.l. Brenner

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Equations
  • Equatorial Orbits
  • Error Analysis
  • Errors
  • Mathematics
  • Orbits

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Operations Research
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris