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Orbital mechanics
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Embry Riddle Aero University - CIRCCOLL - Circulating Collection
TL1050.O73 2002
1 available
TL1050.O73 2002
1 available
Embry Riddle Aero University - CIRCCOLL - Circulating Collection
TL1080.O73 1991
1 available
TL1080.O73 1991
1 available
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Contributors
ISBN
9781563475375
9781563470073
9781563470073
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Table of Contents
From the Book - Regular Print - Third edition.
1.1 A Historical Perspective 1 --
1.2 Velocity and Acceleration 5 --
Chapter 2. Celestial Relationships 11 --
2.1 Coordinate Systems 11 --
2.2 Time Systems 17 --
Chapter 3. Keplerian Orbits 21 --
3.1 Newton's Universal Law of Gravitation 21 --
3.2 General and Restricted Two-Body Problem 21 --
3.3 Conservation of Mechanical Energy 23 --
3.4 Conservation of Angular Momentum 24 --
3.5 Orbital Parameters of a Satellite 25 --
3.6 Orbital Elements 28 --
Chapter 4. Position and Velocity as a Function of Time 35 --
4.1 General Relationships 35 --
4.2 Solving Kepler's Equation 40 --
4.3 A Universal Approach 55 --
4.4 Expressions with f and g 59 --
4.5 Summary of the Universal Approach 60 --
4.6 Classical Element Set 61 --
4.7 Rectangular Coordinate System 62 --
4.8 Modified Classical to Cartesian Transformation 62 --
4.9 Rectangular to Modified Classical Elements Transformation 66 --
4.10 Spherical (ADBARV) Coordinate System 67 --
4.11 Rectangular to Spherical Transformation 68 --
4.12 Spherical to Rectangular Transformation 69 --
4.13 Earth-Relative Spherical (LDBARV) Coordinate System 70 --
4.14 Geodetic and Geocentric Altitudes 71 --
4.15 Converting from Perigee/Apogee Radii to Perigee/Apogee Altitudes 76 --
4.16 Converting from Perigee/Apogee Altitudes to Perigee/Apogee Radii 77 --
Chapter 5. Orbital Maneuvers 87 --
5.1 Orbital Energy 87 --
5.2 Single-Impulse Maneuvers 89 --
5.3 Single- and Two-Impulse Transfer Comparison for Coplanar Transfers Between Elliptic Orbits That Differ Only in Their Apsidal Orientation 92 --
5.4 Hohmann Transfer 94 --
5.5 Bi-elliptic Transfer 96 --
5.6 Restricted Three-Impulse Plane Change Maneuver for Circular Orbits 99 --
5.7 General Three-Impulse Plane Change Maneuver for Circular Orbit 103 --
5.8 Hohmann Transfer with Split-Plane Change 104 --
5.9 Bi-elliptic Transfer with Split-Plane Change 107 --
5.10 Transfer Between Coplanar Elliptic Orbits 107 --
Chapter 6. Complications to Impulsive Maneuvers 117 --
6.1 N-Impulse Maneuvers 117 --
6.2 Fixed-Impulse Transfers 117 --
6.3 Finite-Duration Burns: Gravity Losses 126 --
6.4 Very Low Thrust Transfers 130 --
Chapter 7. Relative Motion in Orbit 135 --
7.1 Space Rendezvous 135 --
7.2 Terminal Rendezvous 155 --
7.3 Applications of Rendezvous Equations 162 --
7.4 An Exact Analytical Solution for Two-Dimensional Relative Motion 172 --
7.5 Optimal Multiple-Impulse Rendezvous 177 --
Chapter 8. Introduction to Orbit Perturbations 185 --
8.1 A General Overview of Orbit Perturbations 185 --
8.2 Earth Gravity Harmonics 186 --
8.3 Lunisolar Gravitational Attractions 187 --
8.4 Radiation Pressure Effects 188 --
8.5 Atmospheric Drag 189 --
8.6 Tidal Friction Effects and Mutual Gravitational Attraction 190 --
Chapter 9. Orbit Perturbations: Mathematical Foundations 193 --
9.1 Equations of Motion 193 --
9.2 Methods of Solution 195 --
9.3 Potential Theory 202 --
9.4 More Definitions of Gravity Harmonics 204 --
9.5 Perturbations Due to Oblateness (J[subscript 2]) 207 --
9.6 Integration of the Equations of Variation 209 --
Chapter 10. Applications of Orbit Perturbations 215 --
10.1 Earth's Oblateness (J[subscript 2]) Effects 215 --
10.2 Critical Inclination 217 --
10.3 Sun-Synchronous Orbits 218 --
10.4 J[subscript 3] Effects and Frozen Orbits 220 --
10.5 Earth's Triaxiality Effects and East-West Stationkeeping 221 --
10.6 Third-Body Perturbations and North/South Stationkeeping 222 --
10.7 Solar-Radiation-Pressure Effects 223 --
10.8 Atmospheric Drag Effects 227 --
10.9 Tidal Friction Effects 230 --
10.10 Long-Term Inclination Variations 233 --
Chapter 11. Orbital Systems 241 --
11.1 Launch Window Considerations 241 --
11.2 Time of Event Occurrence 253 --
11.3 Ground-Trace Considerations 254 --
11.4 Highly Eccentric, Critically Inclined Q = 2 Orbits (Molniya) 256 --
11.5 Frozen Orbits 259 --
Chapter 12. Lunar and Interplanetary Trajectories 265 --
12.2 Historical Background 266 --
12.3 Important Concepts 274 --
12.4 Lunar Trajectories 279 --
12.5 Analytical Approximations 280 --
12.6 Three-Dimensional Trajectories 287 --
12.7 Interplanetary Trajectories 287 --
12.8 Galileo Mission 294 --
12.9 Cassini-Huygens Mission to Saturn and Titan 296 --
12.10 Mars Odyssey Mission 298 --
Chapter 13. Space Debris 301 --
13.2 Space Debris Environment: Low Earth Orbit 302 --
13.3 Debris Measurements 303 --
13.4 Space Debris Environment: Geosynchronous Equatorial Orbit 307 --
13.5 Spatial Density 310 --
13.6 Collision Hazard Assessment Methods 315 --
13.7 Collision Hazards Associated with Orbit Operations 320 --
13.8 Debris Cloud Modeling 322 --
13.9 Lifetime of Nontrackable Debris 327 --
13.10 Methods of Debris Control 328 --
13.11 Shielding 329 --
13.12 Collision Avoidance 330 --
Chapter 14. Optimal Low-Thrust Orbit Transfer 335 --
14.2 Edelbaum Low-Thrust Orbit-Transfer Problem 335 --
14.3 Full Six-State Formulation Using Nonsingular Equinoctial Orbit Elements 354 --
14.4 Orbit Transfer with Continuous Constant Acceleration 372 --
14.5 Orbit Transfer with Variable Specific Impulse 389 --
Appendix Partials of the M Matrix 399 --
Chapter 15. Orbital Coverage 411 --
15.1 Coverage from a Single Satellite 411 --
15.2 Design of Optimal Satellite Constellations for Continuous Zonal and Global Coverage 429 --
15.3 Considerations in Selecting Satellite Constellations 439 --
15.4 Nontypical Coverage Patterns 442.
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