Space Technology Library : Space Technology Library, V. 15 - V. Rauschenbakh

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Space Technology Library

By: V. Rauschenbakh, M. Y. Ovchinnikov, Susan M.P. McKenna-Lawlor

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Hardcover | 31 December 2002

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Hardcover
420 Pages

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24.13 x 16.51 x 2.54

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Essential Spaceflight Dynamics and Magnetospherics describes, in the first instance, some of the key aspects of celestial mechanics and spaceflight dynamics. It begins with classical two and three body problems illustrative of the aesthetic aspects of applying analytical methods of investigation to celestial mechanics. Then, osculating orbital elements are introduced as well as analysis techniques sufficient to evaluate the influence of various disturbing forces on spacecraft. Next a theory of manoeuvres is outlined and the methodology of making interplanetary trajectory corrections. Ideas involving various approaches to orbital element determinations using measured data are also considered. The forces applied to a spacecraft can result in the development of torques that influence attitude motion and the effects of the most important of these are described in terms of equilibrium positions, periodic motions, steady-state and transient motions. Also considered is the problem of attitude control of a spacecraft using active and/or passive methods of orientation and stabilization. In addition, a more advanced treatment of the development of attitude control systems is provided.

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Non-Fiction Science Physics Applied Physics Geophysics Astrophysics Engineering & Technology Transport Technology & Trades Aerospace & Aviation Technology Automotive Technology & Trades Mathematics Applied Mathematics

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Published: 8th December 2010

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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
Table of Contents provided by Ingram. All Rights Reserved.

Space Technology Library

At a Glance

Hardcover

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