THE APPLICATION OF THE KALMAN FILTER TO SOME ASTRODYNAMICAL PROBLEMS

Abstract

This Memorandum applies dynamic programming to the derivation of the computational equations for a Kalman filter. The problem of using a set of illconditioned observations is considered. For example, w when observations of a satellite taken from a single ground station are spaced too close together in time, the accuracy of the determination of the satellite's orbital parameters is poor. Such a set of observations is said to be ill-conditioned. The general set of computational equations derived is interpreted in terms of an orbit determination problem, an orbit correction process, and a satellite rendezvous problem. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1964
Accession Number
AD0606248

Entities

People

  • F. T. Smith

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Circular Orbits
  • Computational Processes
  • Computations
  • Computer Programming
  • Coordinate Systems
  • Covariance
  • Differential Equations
  • Digital Computers
  • Dynamic Programming
  • Equations
  • Filters
  • Mathematical Filters
  • Orbits
  • Spacecraft
  • Trajectories
  • Vehicles

Readers

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

Technology Areas

  • Space
  • Space - Orbital Debris
  • Space - Space Objects