Orbit Perturbations Due to an Axi-Symmetric Gravitational Field, Analyzed Over Extended Periods of Time

Abstract

The author's untruncated orbital theory for perturbations due to the Earth's zonal harmonics, previously developed to cover all terms associated with (j sub 2)sq and J sub l, is being extended to cover the secular and long-periodic effects associated with (J sub 2)cm and (J sub 2)(J sub l). If J sub 2 and J sub l (l > 2) are regarded as first-order and second-order respectively, this means that formal third-order errors will no longer build up to second order over a time scale of order up to 1/(J sub 2) in angular measure. The extended theory has been partially checked out for an earth model involving just J sub 2 and J sub 3.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1992
Accession Number
ADA248544

Entities

People

  • R. H. Gooding

Tags

Communities of Interest

  • C4I
  • Space

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Angular Momentum
  • Coefficients
  • Computational Science
  • Computer Programs
  • Computers
  • Coordinate Systems
  • Earth Models
  • Eccentricity
  • Equations
  • Errors
  • Gravitational Fields
  • Models
  • Notation
  • Periodic Variations
  • Reliability

Fields of Study

  • Mathematics
  • Physics

Readers

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

Technology Areas

  • Space
  • Space - Orbital Debris