Cover -- Title -- Copyright -- Foreword -- Preface -- About the Authors -- Table of Contents -- Chapter 1. Basic Concepts -- 1.1 A Historical Perspective -- 1.2 Velocity and Acceleration -- Problems -- Selected Solutions -- Chapter 2. Celestial Relationships -- 2.1 Coordinate Systems -- 2.2 Time Systems -- References -- Chapter 3. Keplerian Orbits -- 3.1 Newton's Universal Law of Gravitation -- 3.2 General and Restricted Two-Body Problem -- 3.3 Conservation of Mechanical Energy -- 3.4 Conservation of Angular Momentum -- 3.5 Orbital Parameters of a Satellite -- 3.6 Orbital Elements -- References -- Problems -- Selected Solutions -- Chapter 4. Position and Velocity as a Function of Time -- 4.1 General Relationships -- 4.2 Solving Kepler's Equation -- 4.3 A Universal Approach -- 4.4 Expressions with f and g -- 4.5 Summary of the Universal Approach -- 4.6 The Classical Element Set -- 4.7 The Rectangular Coordinate System -- 4.8 Modified Classical to Cartesian Transformation -- 4.9 Rectangular to Modified Classical Elements Transformation -- 4.10 The Spherical (ADBARV) Coordinate System -- 4.11 Rectangular to Spherical Transformation -- 4.12 Spherical to Rectangular Transformation -- 4.13 The Earth-Relative Spherical (LDBARV) Coordinate System -- 4.14 Geodetic and Geocentric Altitudes -- 4.15 Converting from Perigee/Apogee Radii to Perigee/Apogee Altitudes -- 4.16 Converting from Perigee/Apogee Altitudes to Perigee/Apogee Radii -- References -- Problems -- Selected Solutions -- Chapter 5. Orbital Maneuvers -- 5.1 Orbital Energy -- 5.2 Single-Impulse Maneuvers -- 5.3 Single- and Two-Impulse Transfer Comparison for Coplanar Transfers Between Elliptic Orbits That Differ Only in Their Apsidal Orientation -- 5.4 Hohmann Transfer -- 5.5 The Bi-elliptic Transfer -- 5.6 Restricted Three-Impulse Plane Change Maneuver for Circular Orbits.

5.7 General Three-Impulse Plane Change Maneuver for Circular Orbit -- 5.8 Hohmann Transfer with Split-Plane Change -- 5.9 Bi-elliptic Transfer with Split-Plane Change -- 5.10 Transfer Between Coplanar Elliptic Orbits -- References -- Problems -- Selected Solutions -- Chapter 6. Complications to Impulsive Maneuvers -- 6.1 N-Impulse Maneuvers -- 6.2 Fixed-Impulse Transfers -- 6.3 Finite-Duration Burns: Gravity Losses -- 6.4 Very Low Thrust Transfers -- References -- Problems -- Selected Solutions -- Chapter 7. Relative Motion in Orbit -- 7.1 Space Rendezvous -- 7.2 Terminal Rendezvous -- 7.3 Applications of Rendezvous Equations -- 7.4 An Exact Analytical Solution for Two-Dimensional Relative Motion -- 7.5 Optimal Multiple-Impulse Rendezvous -- References -- Problems -- Selected Solutions -- Chapter 8. Introduction to Orbit Perturbations -- 8.1 A General Overview of Orbit Perturbations -- 8.2 Earth Gravity Harmonics -- 8.3 Lunisolar Gravitational Attractions -- 8.4 Radiation Pressure Effects -- 8.5 Atmospheric Drag -- 8.6 Tidal Friction Effects and Mutual Gravitational Attraction -- References -- Chapter 9. Orbit Perturbations: Mathematical Foundations -- 9.1 Equations of Motion -- 9.2 Methods of Solution -- 9.3 Potential Theory -- 9.4 More Definitions of Gravity Harmonics -- 9.5 Perturbations Due to Oblateness (J[sub(2)]) -- 9.6 Integration of the Equations of Variation -- References -- Chapter 10. Applications of Orbit Perturbations -- 10.1 Earth's Oblateness (J[sub(2)]) Effects -- 10.2 Critical Inclination -- 10.3 Sun-Synchronous Orbits -- 10.4 J[sub(3)]) Effects and Frozen Orbits -- 10.5 Earth's Triaxiality Effects and East-West Stationkeeping -- 10.6 Third-Body Perturbations and North/South Stationkeeping -- 10.7 Solar-Radiation-Pressure Effects -- 10.8 Atmospheric Drag Effects -- 10.9 Tidal Friction Effects.

10.10 Long-Term Inclination Variations -- References -- Problems -- Selected Solutions -- Chapter 11. Orbital Systems -- 11.1 Launch Window Considerations -- 11.2 Time of Event Occurrence -- 11.3 Ground-Trace Considerations -- 11.4 Highly Eccentric, Critically Inclined Q = 2 Orbits (Molniya) -- 11.5 Frozen Orbits -- References -- Chapter 12. Lunar and Interplanetary Trajectories -- 12.1 Introduction -- 12.2 Historical Background -- 12.3 Important Concepts -- 12.4 Lunar Trajectories -- 12.5 Analytical Approximations -- 12.6 Three-Dimensional Trajectories -- 12.7 Interplanetary Trajectories -- 12.8 Galileo Mission -- 12.9 Cassini-Huygens Mission to Saturn and Titan -- 12.10 Mars Odyssey Mission -- References -- Problems -- Selected Solutions -- Chapter 13. Space Debris -- 13.1 Introduction -- 13.2 Space Debris Environment: Low Earth Orbit -- 13.3 Debris Measurements -- 13.4 Space Debris Environment: Geosynchronous Equatorial Orbit -- 13.5 Spatial Density -- 13.6 Collision Hazard Assessment Methods -- 13.7 Collision Hazards Associated with Orbit Operations -- 13.8 Debris Cloud Modeling -- 13.9 Lifetime of Nontrackable Debris -- 13.10 Methods of Debris Control -- 13.11 Shielding -- 13.12 Collision Avoidance -- References -- Chapter 14. Optimal Low-Thrust Orbit Transfer -- 14.1 Introduction -- 14.2 The Edelbaum Low-Thrust Orbit-Transfer Problem -- 14.3 The Full Six-State Formulation Using Nonsingular Equinoctial Orbit Elements -- 14.4 Orbit Transfer with Continuous Constant Acceleration -- 14.5 Orbit Transfer with Variable Specific Impulse -- Appendix: The Partials of the M Matrix -- References -- Chapter 15. Orbital Coverage -- 15.1 Coverage from a Single Satellite -- 15.2 Design of Optimal Satellite Constellations for Continuous Zonal and Global Coverage -- 15.3 Considerations in Selecting Satellite Constellations -- 15.4 Nontypical Coverage Patterns.

References -- Problems -- Selected Solutions -- Index -- A -- B -- C -- D -- E -- F -- G -- H -- I -- J -- K -- L -- M -- N -- O -- P -- R -- S -- T -- U -- Z.