Formulas and Fortran Programs to Determine Zonal Coefficients from Satellite Observations,

Abstract

Following a proposal by Moritz and Schwarz the collocation method is applied to determine zonal coefficients from satellite observations. The perturbation equations are specialized from Kaula's more general formulas and are supplemented by a recurrence relation for the inclination function. The computational formulas for the collocation procedure are summarized and a method is given to determine the optimal number of coefficients by an eigenvalue analysis of the error covariance matrix. Two programs have been developed. The first one computes the coefficients of the perturbation equation, the second one determines the collocation solution and performs the accuracy analysis.

Document Details

Document Type
Technical Report
Publication Date
May 01, 1975
Accession Number
ADA015768

Entities

People

  • Klaus-peter Schwarz

Organizations

  • Ohio State University

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Accuracy
  • Artificial Satellites
  • Coefficients
  • Cooperation
  • Covariance
  • Data Science
  • Differential Equations
  • Eigenvalues
  • Equations
  • Errors
  • Mathematical Analysis
  • Mathematics
  • Observation
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Mathematical Modeling and Probability Theory.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris