Nonlinear Estimation Theory Applied to Orbit Determination

Abstract

The study is concerned with the development of an approximate nonlinear filter using the Martingale theory and appropriate smoothing properties. Both the first order and the second order moments are estimated. The filter, which is developed, can be classified as a modified Gaussian second order filter. Its performance is evaluated in a simulated study of the problem of estimating the state of an interplanetary space vehicle during both a simulated Jupiter fly-by and a simulated Jupiter orbiter mission. In addition to the modified Gaussian second order filter, the modified truncated second order filter is evaluated also in the simulated study. Results obtained with each of these filters are compared with numerical results obtained with the extended Kalman filter and the performance of each filter is determined by comparison with the actual estimation errors.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1972
Accession Number
AD0762582

Entities

People

  • Chul Y. Choe

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Ground and Sea Platforms
  • Space

DTIC Thesaurus Topics

  • Computational Science
  • Computer Programs
  • Differential Equations
  • Gaussian Processes
  • Information Science
  • Kalman Filters
  • Mathematical Filters
  • Normal Distribution
  • Plastic Explosives
  • Probability Density Functions
  • Random Variables
  • Random Walk
  • Residuals
  • Space Probes
  • Spacecraft
  • Stochastic Processes
  • Sun

Fields of Study

  • Engineering

Readers

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

Technology Areas

  • Space