Statistical Orbit Determination

1st Edition

Authors: Bob Schutz Byron Tapley George Born
Hardcover ISBN: 9780126836301
eBook ISBN: 9780080541730
Imprint: Academic Press
Published Date: 27th May 2004
Page Count: 547
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Statistical Orbit Determination presents fundmentals of orbit determination--from weighted least squares approaches (Gauss) to today's high-speed computer algorithms that provide accuracy within a few centimeters. Numerous examples and problems are provided to enhance readers' understanding of the material.

Key Features

  • Covers such topics as coordinate and time systems, square root filters, process noise techniques, and the use of fictitious parameters for absorbing un-modeled and incorrectly modeled forces acting on a satellite.
  • Examples and exercises serve to illustrate the principles throughout each chapter.


Graduate students and researchers in aerospace engineering, astrodynamics, geodesy, and oceanography.

Researchers in the aerospace industry and related research laboratories interested in satellite navigation and control.

Table of Contents

1 Orbit Determination Concepts

  • Introduction
  • UniformGravity Field Model
  • Background and Overview
  • Summary
  • References
  • Exercises

2 The Orbit Problem

  • Historical Background
  • Problem of Two Bodies: General Properties
  • Perturbed Motion
  • Coordinate Systems and Time: Introduction
  • Orbit Accuracy
  • References
  • Exercises

3 Observations

  • Introduction
  • Observations
  • Conceptual Measurement Systems
  • Realization of Measurements
  • Measurement Systems
  • Differenced Measurements
  • Satellite Positions
  • Angles
  • References
  • Exercises

4 Fundamentals of Orbit Determination

  • Introduction
  • Linearization of the Orbit Determination Process
  • The Least Squares Solution
  • The Minimum Variance Estimate
  • Maximum Likelihood and Bayesian Estimation
  • Compuational Algorithm for the Batch Processor
  • The Sequential Estimation Algorithm
  • Example Problems
  • State Noise Compensation Algorithm
  • Information Filter
  • Batch and Sequential Estimation
  • Observability
  • Error Sources
  • Orbit Accuracy
  • Smoothing
  • The Probability Ellipsoid
  • Combining Estimates
  • References
  • Exercises

5 Square-Root Solution Methods

  • Introduction
  • Cholesky Decomposition
  • Least Squares Solution via Orthogonal Algorithm
  • Givens Transformations
  • The


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About the Author

Bob Schutz

Affiliations and Expertise

University of Texas at Austin, U.S.A.

Byron Tapley

George Born

Affiliations and Expertise

University of Colorado, U.S.A.