Statistical Orbit Determination

Front Cover
Elsevier, Jun 26, 2004 - Science - 547 pages
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.
  • 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.
 

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Contents

Chapter 1 Orbit Determination Concepts
1
Chapter 2 The Orbit Problem
17
Chapter 3 Observations
93
Chapter 4 Fundamentals of Orbit Determination
159
Chapter 5 Square Root Solution Methods
285
Chapter 6 Consider Covariance Analysis
387
Appendix A Probability and Statistics
439
Appendix B Review of Matrix Concepts
473
Appendix E Analytical Theory for NearCircular Orbits
493
Appendix F Example of State Noise and Dynamic Model Compensation
499
Appendix G Solution of the Linearized Equations of Motion
511
Appendix H Transformation between ECI and ECF Coordinates
517
Bibliography Abbreviations
523
Bibliography
525
Author Index
537
Index
541

Appendix C Equations of Motion
485
Appendix D Constants
487

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