| Preface | p. v |
| About the Authors | p. ix |
| Two-Body Problem | p. 1 |
| Equations of Motion | p. 1 |
| Integral of Energy | p. 4 |
| The Area Integral | p. 5 |
| Laplace's Integral | p. 7 |
| Kepler's Laws | p. 11 |
| Kepler's Equation | p. 13 |
| Qualitative Analysis of Orbits | p. 17 |
| Orbit Evolution | p. 17 |
| Orbital Transfer | p. 18 |
| SC Braking in the Atmosphere | p. 19 |
| Interplanetary Flight | p. 20 |
| Circular Velocity | p. 20 |
| Escape-Velocity | p. 23 |
| Hyperbolic Escape Velocity | p. 23 |
| Perturbed Motion | p. 25 |
| The n-Body Problem | p. 25 |
| Planetocentric Form of Equations | p. 28 |
| The Three-Body Problem | p. 30 |
| The Lagrange and Euler Cases | p. 30 |
| Restricted Three-Body Problem | p. 33 |
| Hill's Surface | p. 34 |
| Singular Points of a Zero-Velocity Surface | p. 39 |
| Gravispheres | p. 43 |
| Sphere of Attraction | p. 44 |
| Sphere of Influence | p. 45 |
| Kislik Gravisphere | p. 50 |
| Osculating Elements | p. 57 |
| Reference System and Orbital Elements | p. 57 |
| Equations of Perturbed Motion | p. 60 |
| Introduction of Osculating Elements | p. 61 |
| Definition of the 'Main Operation' | p. 62 |
| Equations for Osculating Elements | p. 62 |
| Transformation to the Argument of Latitude | p. 69 |
| Braking in the Earth's Atmosphere | p. 71 |
| Qualitative Analysis | p. 71 |
| The Descending SC 'Paradox' | p. 76 |
| Terrestrial Nonsphericity | p. 79 |
| Introduction to Models | p. 79 |
| Oblateness of the Gravitational Field | p. 81 |
| Calculation of Perturbing Accelerations | p. 84 |
| Evolution of the Equatorial Orbit | p. 86 |
| Precession of the Inclined Orbit | p. 88 |
| Clarification of 'Inconsistency' | p. 90 |
| Orbits with Specific Inclinations | p. 92 |
| SC in the Field of Two Centers | p. 97 |
| Elements of Manoeuvring Theory | p. 103 |
| Statement of the Problem | p. 103 |
| Orbital Plane Orientation Changing | p. 108 |
| In-plane Manoeuvres | p. 111 |
| Effect of a Tangent Pulse [Delta]V[subscript T] | p. 112 |
| Effect of a Normal Pulse [Delta]V[subscript s] | p. 114 |
| Manoeuvre of Landing a SC | p. 115 |
| Change of the Period of SC Revolution | p. 117 |
| Trajectory Corrections | p. 119 |
| SC Motion Close to a Target Planet | p. 120 |
| Segment of a Nominal Trajectory | p. 122 |
| Properties of the Correction | p. 124 |
| Two-parameter Correction | p. 126 |
| Optimum Correction Point | p. 127 |
| Singularity of the Correction Matrix | p. 129 |
| Correction Using the Singular Matrix | p. 131 |
| Rendezvous Manoeuvring | p. 133 |
| Control-Free Relative Motion | p. 133 |
| Approaches to Rendezvous Manoeuvring | p. 135 |
| Gravity-Assist Manoeuvre | p. 139 |
| Description of the Manoeuvre | p. 139 |
| Application for Interplanetary Missions | p. 143 |
| Inclination Change of the Orbit | p. 145 |
| About Orbit Determination | p. 149 |
| Least Square Method | p. 150 |
| Concept of Recurrent Methods | p. 152 |
| Introduction to Attitude Control | p. 155 |
| Types of Attitude Control Systems | p. 155 |
| Scheme for SC Active Attitude Control | p. 160 |
| Estimation of Propellant Consumption | p. 162 |
| Effect of a Constant Perturbing Torque | p. 165 |
| SC Gyros for Attitude Control | p. 169 |
| Bounded Angular Momentum of a SC | p. 170 |
| Unbounded Angular Momentum of a SC | p. 171 |
| Gravity-Gradient Torque Effect | p. 173 |
| General Assumptions | p. 173 |
| Reference Systems | p. 175 |
| Kinematic Relationships | p. 178 |
| Gravity-Gradient Torque | p. 179 |
| Equations of SC Motion | p. 183 |
| SC Motion in a Circular Orbit | p. 185 |
| Planar Motion of a SC | p. 185 |
| SC Equilibrium Positions | p. 192 |
| Sufficient Conditions for Stability | p. 195 |
| Necessary Conditions for Stability | p. 197 |
| SC Motion in an Elliptical Orbit | p. 201 |
| Equation of Planar SC Motion | p. 201 |
| Linear Librations | p. 203 |
| Stability of the Solution of Mathieu's Equation | p. 205 |
| Non-linear Librations | p. 207 |
| Periodic Motion of a SC | p. 209 |
| Solutions for Slightly Elliptical Orbits | p. 209 |
| Numerical Investigation | p. 212 |
| Spinning Axisymmetric SC | p. 219 |
| Equations of Motion | p. 219 |
| Stationary Motions of a SC | p. 221 |
| Conditions of Stability | p. 224 |
| Equilibrium of a Gyrostat | p. 227 |
| Equations of Motion | p. 227 |
| Particular Cases of Equilibrium Positions | p. 229 |
| Effect of Aerodynamic Torque | p. 233 |
| General Assumptions | p. 233 |
| Atmospheric Density Approximation | p. 237 |
| Effect of the Earth's Rotation | p. 240 |
| Equilibrium Positions | p. 242 |
| SC in the Geomagnetic Field | p. 247 |
| The Geomagnetic Field | p. 247 |
| Models of the Geomagnetic Field | p. 250 |
| Dipole Terms (n=1) | p. 250 |
| Quadrupole Terms (n = 2) | p. 253 |
| Octupole Terms (n = 3) | p. 254 |
| Equations of Motion | p. 255 |
| SC Planar Motion | p. 259 |
| Asymptotic Solution | p. 259 |
| Numerical Construction of Periodic Solutions | p. 260 |
| Investigation of Stability | p. 265 |
| SC Spatial Motion | p. 268 |
| Motion of a SC under Damping | p. 275 |
| Equations of Motion | p. 276 |
| Fast Time. Equations of Motion in Standard Form | p. 280 |
| Averaging the Equations of Motion | p. 283 |
| Two Orthogonal Rods | p. 285 |
| Case without Hysteresis Rods | p. 286 |
| Case of Weak Damping | p. 287 |
| Appendices | p. 291 |
| Method of van der Pol | p. 291 |
| Periodic Equations | p. 293 |
| Poincare's Method | p. 297 |
| Bibliography | p. 299 |
| Addendum: The Space Environment | p. 303 |
| Solar Activity and Near Earth Space | p. 303 |
| The Sun and the Solar Wind | p. 303 |
| Co-rotating Interaction Regions | p. 304 |
| The Solar Cycle | p. 305 |
| Solar Flares | p. 307 |
| Coronal Mass Ejections | p. 307 |
| Prediction of Proton Events | p. 309 |
| Numerical Modeling | p. 310 |
| The Earth's Magnetosphere | p. 312 |
| Particle Populations in the Magnetosphere | p. 315 |
| Galactic Cosmic Rays | p. 315 |
| The Van Allen Belts | p. 316 |
| Particle Motion in the Geomagnetic Field | p. 318 |
| The South Atlantic Anomaly | p. 320 |
| Magnetic Storms | p. 320 |
| External Magnetic Field Models | p. 323 |
| Relativistic Electrons | p. 325 |
| Thermospheric Heating | p. 327 |
| Atmospheric Drag | p. 327 |
| Solar Radiation Pressure | p. 330 |
| Solar Sailing | p. 332 |
| Perturbing Effects on Orbiting SC | p. 332 |
| Drag Free SC and their Applications | p. 334 |
| The Environment and SC Performance | p. 337 |
| Electronics and Energetic Particle Radiation | p. 337 |
| Models of near Earth Energetic Particles | p. 339 |
| Radiation Models for Mission Evaluations | p. 340 |
| SC Charging | p. 342 |
| SC Contamination | p. 347 |
| Sputtering from SC Surfaces | p. 348 |
| Corrosive Oxygen | p. 348 |
| Thermal Problems | p. 350 |
| Ambient Electric and Magnetic Fields | p. 351 |
| Overview of In-Orbit Disturbances | p. 352 |
| Surface and Internal Charging | p. 356 |
| Phantom Commands | p. 358 |
| Total Ionizing Dose and Single Event Effects | p. 359 |
| Solar Cell Degradation and Displacement Damage | p. 359 |
| Loss of Attitude Control/Orientation | p. 360 |
| Loss of Signal Phase and Amplitude Lock | p. 360 |
| Solar Radio Interference | p. 361 |
| Orbit Decay | p. 361 |
| Biological Effects | p. 362 |
| Interplanetary Conditions | p. 364 |
| Beyond the Solar System | p. 365 |
| List of References for Addendum | p. 367 |
| Index of Scientists Cited in Footnotes | p. 375 |
| Index | p. 377 |
| List of Figures | p. 391 |
| List of Tables | p. 397 |
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