Error Ellipsoid Probability Distribution,

Abstract

The objectives of the analysis were (1) to determine the error ellipse associated with impact prediction, and (2) to determine the error ellipsoid associated with the prediction of spatial positions (q-dimensional/k-family), by specifying the dimensionality (eigenvalues) and orientation (eigenvectors) of the diagonalized error volume. A q-dimensional error ellipsoid is defined in a prediction function space and centered about the true prediction point. For each volume, there is a definite probability that a sample prediction point will be within the region. This probability is defined by integration of the density function over the error volume.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1974
Accession Number
AD0780551

Entities

People

  • George A. Ellis

Organizations

  • Rome Laboratory

Tags

DTIC Thesaurus Topics

  • Direction Finding
  • Eigenvalues
  • Eigenvectors
  • Ellipsoids
  • Mathematics
  • Navigation
  • Orientation (Direction)
  • Position Finding
  • Probability
  • Probability Distributions
  • Random Variables

Fields of Study

  • Mathematics

Readers

  • Geodesy
  • Linear Algebra
  • Regression Analysis.

Technology Areas

  • Space
  • Space - Orbital Debris