Statistical Orbit DeterminationStatistical Orbit Determination presents fundmentals of orbit determinationfrom weighted least squares approaches (Gauss) to today's highspeed computer algorithms that provide accuracy within a few centimeters. Numerous examples and problems are provided to enhance readers' understanding of the material.

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Contents
1  
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 
541  
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Common terms and phrases
ˆxk accuracy algorithm altimeter applications Assume axis Cholesky Cholesky decomposition clock components computed consider covariance consider parameters constant coordinate system covariance matrix defined density function derived described deviation diagonal differential equations dynamic Earth ephemeris epoch equations of motion error covariance matrix estimation error covariance example expressed filter ﬁst frequency given by Eq GPS satellites gravitational Hence Householder transformation initial conditions integration ionosphere laser least squares linear mass measurement update node normal normal matrix Note observation errors obtained orbit determination orbit elements orthogonal transformations performance index perturbation position and velocity positive definite priori information process noise propagation pseudorange random variable range receiver represents residuals rotation Section semimajor axis sequential estimation signal solution square root Tapley tion TOPEX/Poseidon tracking transition matrix upper triangular variance yields zero