FURTHER STATISTICAL PROBLEMS OF TRACKING A TARGET FROM AN OBSERVATORY SATELLITE

Abstract

The statistical problems of estimation and confidence are studied for both the location and speed and heading of a target following a linear course when tracked by radar from an Observatory Satellite. The assumptions are specified upon which the analysis of the subsequent sections is based. The joint distribution of the estimates for target position is derived. The maximum likelihood estimate of target position is obtained and a proof given that it is normally distributed. A detailed comparison is given of the mathematical models of this and the earlier report, and of the important theorems and formulas relating to each. Special cases are presented in which the results can be expressed in a simplified form. Confidence regions are given for target speed and heading. The possibilities for tracking a target are dealt with in a dense environment given certain information on the distribution of target speeds and directions.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1965
Accession Number
AD0615514

Entities

People

  • Sam C. Saunders

Organizations

  • Boeing

Tags

Communities of Interest

  • Air Platforms
  • Space

DTIC Thesaurus Topics

  • Analytic Geometry
  • Artificial Satellites
  • Biodiesels
  • Computations
  • Coordinate Systems
  • Covariance
  • Distribution Functions
  • Equations
  • Errors
  • Hard Copy
  • Mathematical Models
  • Models
  • Normal Distribution
  • Observation
  • Observatories
  • Random Variables
  • Statistical Analysis

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Regression Analysis.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Space Objects