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| Foreword | |
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| Preface | |
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| About the Authors | |
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| Basic Concepts | |
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| A Historical Perspective | |
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| Velocity and Acceleration | |
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| Problems | |
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| Selected Solutions | |
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| Celestial Relationships | |
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| Coordinate Systems | |
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| Time Systems | |
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| References | |
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| Keplerian Orbits | |
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| Newton's Universal Law of Gravitation | |
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| General and Restricted Two-Body Problem | |
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| Conservation of Mechanical Energy | |
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| Conservation of Angular Momentum | |
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| Orbital Parameters of a Satellite | |
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| Orbital Elements | |
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| References | |
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| Problems | |
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| Selected Solutions | |
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| Position and Velocity as a Function of Time | |
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| General Relationships | |
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| Solving Kepler's Equation | |
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| A Universal Approach | |
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| Expressions with f and g | |
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| Summary of the Universal Approach | |
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| The Classical Element Set | |
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| The Rectangular Coordinate System | |
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| Modified Classical to Cartesian Transformation | |
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| Rectangular to Modified Classical Elements Transformation | |
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| The Spherical (ADBARV) Coordinate System | |
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| Rectangular to Spherical Transformation | |
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| Spherical to Rectangular Transformation | |
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| The Earth-Relative Spherical (LDBARV) Coordinate System | |
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| Geodetic and Geocentric Altitudes | |
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| Converting from Perigee/Apogee Radii to Perigee/Apogee Altitudes | |
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| Converting from Perigee/Apogee Altitudes to Perigee/Apogee Radii | |
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| References | |
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| Problems | |
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| Selected Solutions | |
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| Orbital Maneuvers | |
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| Orbital Energy | |
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| Single-Impulse Maneuvers | |
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| Single- and Two-Impulse Transfer Comparison for Coplanar Transfers Between Elliptic Orbits That Differ Only in Their Apsidal Orientation | |
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| Hohmann Transfer | |
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| The Bi-elliptic Transfer | |
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| Restricted Three-Impulse Plane Change Maneuver for Circular Orbits | |
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| General Three-Impulse Plane Change Maneuver for Circular Orbit | |
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| Hohmann Transfer with Split-Plane Change | |
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| Bi-elliptic Transfer with Split-Plane Change | |
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| Transfer Between Coplanar Elliptic Orbits | |
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| References | |
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| Problems | |
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| Selected Solutions | |
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| Complications to Impulsive Maneuvers | |
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| N-Impulse Maneuvers | |
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| Fixed-Impulse Transfers | |
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| Finite-Duration Burns: Gravity Losses | |
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| Very Low Thrust Transfers | |
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| Reference | |
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| Problems | |
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| Selected Solutions | |
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| Relative Motion in Orbit | |
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| Space Rendezvous | |
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| Terminal Rendezvous | |
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| Applications of Rendezvous Equations | |
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| An Exact Analytical Solution for Two-Dimensional Relative Motion | |
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| Optimal Multiple-Impulse Rendezvous | |
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| References | |
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| Problems | |
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| Selected Solutions | |
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| Introduction to Orbit Perturbations | |
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| A General Overview of Orbit Perturbations | |
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| Earth Gravity Harmonics | |
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| Lunisolar Gravitational Attractions | |
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| Radiation Pressure Effects | |
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| Atmospheric Drag | |
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| Tidal Friction Effects and Mutual Gravitational Attraction | |
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| References | |
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| Orbit Perturbations: Mathematical Foundations | |
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| Equations of Motion | |
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| Methods of Solution | |
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| Potential Theory | |
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| More Definitions of Gravity Harmonics | |
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| Perturbations Due to Oblateness (J[subscript 2]) | |
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| Integration of the Equations of Variation | |
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| References | |
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| Applications of Orbit Perturbations | |
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| Earth's Oblateness (J[subscript 2]) Effects | |
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| Critical Inclination | |
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| Sun-Synchronous Orbits | |
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| J[subscript 3] Effects and Frozen Orbits | |
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| Earth's Triaxiality Effects and East-West Stationkeeping | |
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| Third-Body Perturbations and North/South Stationkeeping | |
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| Solar-Radiation-Pressure Effects | |
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| Atmospheric Drag Effects | |
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| Tidal Friction Effects | |
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| Long-Term Inclination Variations | |
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| References | |
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| Problems | |
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| Selected Solutions | |
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| Orbital Systems | |
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| Launch Window Considerations | |
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| Time of Event Occurrence | |
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| Ground-Trace Considerations | |
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| Highly Eccentric, Critically Inclined Q = 2 Orbits (Molniya) | |
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| Frozen Orbits | |
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| References | |
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| Lunar and Interplanetary Trajectories | |
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| Introduction | |
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| Historical Background | |
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| Important Concepts | |
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| Lunar Trajectories | |
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| Analytical Approximations | |
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| Three-Dimensional Trajectories | |
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| Interplanetary Trajectories | |
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| Galileo Mission | |
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| Cassini-Huygens Mission to Saturn and Titan | |
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| Mars Odyssey Mission | |
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| References | |
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| Problems | |
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| Selected Solutions | |
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| Space Debris | |
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| Introduction | |
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| Space Debris Environment: Low Earth Orbit | |
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| Debris Measurements | |
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| Space Debris Environment: Geosynchronous Equatorial Orbit | |
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| Spatial Density | |
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| Collision Hazard Assessment Methods | |
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| Collision Hazards Associated with Orbit Operations | |
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| Debris Cloud Modeling | |
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| Lifetime of Nontrackable Debris | |
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| Methods of Debris Control | |
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| Shielding | |
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| Collision Avoidance | |
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| References | |
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| Optimal Low-Thrust Orbit Transfer | |
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| Introduction | |
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| The Edelbaum Low-Thrust Orbit-Transfer Problem | |
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| The Full Six-State Formulation Using Nonsingular Equinoctial Orbit Elements | |
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| Orbit Transfer with Continuous Constant Acceleration | |
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| Orbit Transfer with Variable Specific Impulse | |
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| The Partials of the M Matrix | |
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| References | |
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| Orbital Coverage | |
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| Coverage from a Single Satellite | |
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| Design of Optimal Satellite Constellations for Continuous Zonal and Global Coverage | |
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| Considerations in Selecting Satellite Constellations | |
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| Nontypical Coverage Patterns | |
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| References | |
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| Problems | |
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| Selected Solutions | |
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| Index | |
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| Series Pages | |