Fundamentals of Astrodynamics and Applicationshas become the standard astrodynamics reference for those involved in the business of spaceflight. What sets this book apart is that nearly all of the theoretical mathematics is followed by discussions of practical applications implemented in tested software routines available to readers at no cost. For example, the book includes a compendium of algorithms that allow students and professionals to determine orbits with high precision. Without a doubt, when an astrodynamics problem arises, it will continue to be standard practise for engineers to keep this volume close at hand and "look it up in Vallado"

 

• Chapter 1 Equations of Motion
  
  • 1.1 History
  • 1.2 Geometry of Conic Sections
  • 1.3 Two-Body Equation
  • 1.4 Three-body and n-body Equations
• Chapter 2 Kepler’s Equation and Kepler’s Problem
  
  • 2.1 Historical Background
  • 2.2 Kepler’s Equation
  • 2.3 Kepler’s Problem
  • 2.4 Satellite State Representations
  • 2.5 Application: Orbital Elements from r and v
  • 2.6 Application: r and v from Orbital Elements
  • 2.7 Application: Groundtracks 128
  • 2.8 Application: Find Time of Flight (FINDTOF)
• Chapter 3 Coordinate and Time Systems
  
  • 3.1 Historical Background
  • 3.2 The Earth
  • 3.3 Coordinate Systems
  • 3.4 Coordinate Transformations
  • 3.5 Time
  • 3.6 Time Conversions
  • 3.7 Transforming Celestial and Terrestrial Coordinates
  • 3.8 Earth Models and Constants
• Chapter 4 Observations
  
  • 4.1 Introduction
  • 4.2 Obtaining Data
  • 4.3 Introduction to Sensor Systems
  • 4.4 Observation Transformations
• Chapter 5 Celestial Phenomena
  
  • 5.1 Solar Phenomena
  • 5.2 Lunar Phenomena
  • 5.3 Celestial Applications
• Chapter 6 Orbital Maneuvering
  
  • 6.1 Historical Background
  • 6.2 Introduction
  • 6.3 Coplanar Maneuvers
  • 6.4 Noncoplanar Transfers
  • 6.5 Combined Maneuvers
  • 6.6 Circular Rendezvous
  • 6.7 Continuous-Thrust Transfers
  • 6.8 Relative Motion
• Chapter 7 Initial Orbit Determination
  
  • 7.1 Historical Background
  • 7.2 Observations of Range, Azimuth, and Elevation
  • 7.3 Angles-only Observations
  • 7.4 Mixed Observations
  • 7.5 Three Position Vectors and Time
  • 7.6 Two Position Vectors and Time—Lambert’s Problem
  • 7.7 Application: Targeting Problem
• Chapter 8 Special Perturbation Techniques
  
  • 8.1 Historical Background
  • 8.2 Introduction to Perturbations
  • 8.3 Encke’s Formulation
  • 8.4 Cowell’s Formulation
  • 8.5 Numerical Integration Methods
  • 8.6 Disturbing Forces
  • 8.7 Forming Numerical Solutions
  • 8.8 Practical Considerations
• Chapter 9 General Perturbation Techniques
  
  • 9.1 Historical Background
  • 9.2 Introduction
  • 9.3 Variation of Parameters
  • 9.4 Hamilton’s Formulation
  • 9.5 Disturbing-Potential Formulations
  • 9.6 Linearized Perturbations and Effects
  • 9.7 Forming Analytical Solutions
  • 9.8 Semianalytical Solutions
  • 9.9 Practical Considerations
  • 9.10 Summary of Perturbation Effects
• Chapter 10 Orbit Determination and Estimation
  
  • 10.1 Historical Background
  • 10.2 Linear Least Squares
  • 10.3 Nonlinear Least Squares
  • 10.4 Application: Orbit Determination With Differential Correction
  • 10.5 Sequential-Batch Least Squares
  • 10.6 Kalman Filtering
  • 10.7 Forming Differential Correction Solutions
  • 10.8 Practical Considerations
  • 10.9 Applications
• Chapter 11 Mission Analysis
  
  • 11.1 Introduction
  • 11.2 Mission Orbits
  • 11.3 Geometries for Surveillance and Reconnaissance
  • 11.4 Designing and Maintaining Mission Orbits
  • 11.5 Navigation—the Global Positioning System
  • 11.6 Predicting Satellite Look Angles
  • 11.7 Determining Conjunctions
• Appendix A Dictionary of Symbols
• Appendix B Modeling the Atmosphere
• Appendix C Mathematical Fundamentals
• Appendix D Constants and Expansions