Statistical Orbit Determination

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.

1 Orbit Determination Concepts
2 The Orbit Problem
3 Observations
4 Fundamentals of Orbit Determination
5 Square-root Solution Methods
6 Consider Covariance Analysis

A Probability and Statistics
B Review of Matrix Concepts
C Equations of Motion
D Constants
E Analytical Theory for Near-Circular Orbits
F Example of State Noise and Dynamic Model Compensation
G Solution of the Linearized Equations of Motion
H ECI and ECF Transformation