SOLUTION OF THE PROBLEM OF ARTIFICIAL SATELLITE THEORY WITHOUT DRAG

Abstract

Sections 1 - 6 give the solution of the main problem for a spheroidal earth with the potential limited to the principal term and the second harmonic which contains the small factor k2. The solution is developed in powers of k2 in canonical variables by a method which is basically the same as that used in a different problem by von Zeipel (1916). The per iodic terms are divided in two classes: The short-period terms contain the mean anomaly in their arguments; the arguments of the long-periodterms are multiples of the mean argument of the perigee

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1959
Accession Number
AD0240342

Entities

People

  • Dirk Brouwer

Organizations

  • Yale University

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Artificial Satellites
  • Coefficients
  • Computations
  • Contracts
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Government Procurement
  • Governments
  • Grids
  • Grids (Coordinates)
  • Harmonics
  • Integrals
  • Longitude
  • Physics Laboratories
  • Tank Guns

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris