Optimal Estimation for the Satellite Attitude using Star Tracker Measurements

Abstract

An optimal estimation scheme is presented, which determines the satellite attitude using the gyro readings and the star tracker measurements of a commonly used satellite attitude measuring unit. The scheme is mainly based on the exponential Fourier densities that have the desirable closure property under conditioning. By updating a finite and fixed number of parameters, the conditional probability density, which is an exponential Fourier density, is recursively determined. Simulation results indicate that the scheme is effective and robust. It is believed that this approach is applicable to many other attitude measuring units. As no linearization and approximation are necessary in the approach, it is ideal for systems involving high levels of randomness. When a system involves little randomness and linearization is not expected to incur much error, the approach can provide a benchmark against which such suboptimal estimators as the extended Kalman filter and the least-squares estimator can be compared. In this spirit, simulated data for HEAO-A were processed to compare the optimal scheme and the extended Kalman filter. The results are presented.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1978
Accession Number
ADA064779

Entities

People

  • James Ting-ho Lo

Organizations

  • University of Maryland, Baltimore County

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Computational Science
  • Computations
  • Computer Programs
  • Computers
  • Coordinate Systems
  • Detectors
  • Eigenvalues
  • Eigenvectors
  • Equations
  • Estimators
  • Euler Angles
  • Kalman Filters
  • Mathematical Filters
  • Measurement
  • Probability
  • Sequences
  • Three Dimensional

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Inertial Navigation Systems.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers