Navigation and Tracking in Space. Analysis and Algorithms

Navigation and Tracking in Space: Analysis and Algorithms
	Contents
	Preface
	Introduction
		Background
		Scope of the Book
			Objectives
			Overview of the Book
		Preliminaries
			Linear Algebra
			Three-Dimensional Rotation Matrices
			Probability
			Motion of an Object in Space
		References
	Space Vehicle Dynamics
		Overview
		Reference Frames
			Earth-Centered Inertial Frame
			Earth-Centered Earth-Fixed Frame
			Topocentric Frame
			Solar Ecliptic Coordinate System
			Reference Frame Conversion
		Force Model
			Perturbation Forces
			Thrust
		State Space Model of Space Vehicles
			Earth Orbiting Satellites
			Launch Vehicle
			Reentry Vehicle
			Interplanetary Spacecraft
		References
	Observations
		Overview
		Ground-Based Observations
			Active and Passive Radio Observations
			Satellite Laser Ranging
			Very Long Baseline Interferometry
		Onboard Observations
			Angular Measurements to Celestial Objects
			Earth-Based Target Reference Measurement
			Range Measurement to Known Beacon
			GNSS Observations
			Dilution of Precision
			Inertial Navigation System
		Summary
		References
	Estimation Algorithms
		Overview
		Space Vehicle Navigation as an Estimation Problem
		Least Square Estimation and Batch Processing
		The Kalman Filter
			The Kalman Filter for Discrete Linear Systems
			Extended Kalman Filter
			Unscented Kalman Filter
			Computationally Efficient Unscented Kalman Filters
		Particle Filter
			Sequential Importance Sampling
			Particle Filter Variants
		Nonlinearity and Choice of Estimator
			Nonlinearity Index
			Nonlinearity and Estimator Performance
			Choosing the Right Estimation Algorithm
		MATLAB® Implementation of Estimation Algorithms
			EKF Implementation
			UKF Implementation
			SPUKF Implementation
			ESPUKF Implementation
			Particle Filter Implementation
			ESP-PF Implementation
		Summary
		References
	Navigation and Tracking of Satellites
		Overview
		Initial Position and Velocity Computation
		Satellite Navigation and Tracking Using Sequential Estimation
			System Model
			Satellite Position and Velocity Estimation Using Azimuth, Elevation, and Range Observation
			Satellite Position and Velocity Estimation Using Multi-GNSS Observation
			Factors Affecting Estimation Performance
		Example MATLAB Implementation of GPS-Based Satellite Navigation
		Precise Orbit Determination
		Real-Time Onboard Navigation and Other Practical Considerations
		References
	Navigation and Tracking During Launch and Reentry
		Overview
		Ground-Based Tracking of Reentry Vehicle
		Launch Vehicle Navigation Using GPS
			Reference Trajectory Generation
			Implementation of Sequential Estimator
		Example MATLAB Implementation of Launch Vehicle and Reentry Vehicle Position Estimation
			Reentry Vehicle Tracking
			GNSS-based Navigation of Launch Vehicle
		Practical Considerations
		References
	Navigation and Tracking in Lunar and Deep Space Missions
		Overview
		Challenges in Lunar and Deep Space Navigation
		Ground-Based Tracking of Spacecraft in Lunar Transfer Trajectory
			State Transition Matrix
			Partial Derivative of Measurements
		Delay in Observation
		Implementation of Navigation Algorithm
		Example MATLAB Implementation for Tracking a Spacecraft in Lunar Transfer Trajectory
		Summary and Future Directions
		References
	Appendix
		Anomalies
		Keplerian Elements to ECI Position and Velocity
		ECI Position and Velocity to Keplerian Elements
		Lambert Problem
	Nomenclature
	About the Authors
	Index