Spacecraft Dynamics and Control -

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Auteur(s) : Collectif

Editeur : John Wiley & Sons

Langue : Anglais

Parution : 31/12/2012

Nombre de pages : 590

Expédition : 1186

Dimensions : 25.0 x 17.5 x 3.6

ISBN : 9781118342367

Résumé :

Provides the basics of spacecraft orbital dynamics plus attitude dynamics and control, using vectrix notation

Spacecraft Dynamics and Control: An Introduction presents the fundamentals of classical control in the context of spacecraft attitude control. This approach is particularly beneficial for the training of students in both of the subjects of classical control as well as its application to spacecraft attitude control. By using a physical system (a spacecraft) that the reader can visualize (rather than arbitrary transfer functions), it is easier to grasp the motivation for why topics in control theory are important, as well as the theory behind them.? The entire treatment of both orbital and attitude dynamics makes use of vectrix notation, which is a tool that allows the user to write down any vector equation of motion without consideration of a reference frame. This is particularly suited to the treatment of multiple reference frames. Vectrix notation also makes a very clear distinction between a physical vector and its coordinate representation in a reference frame. This is very important in spacecraft dynamics and control problems, where often multiple coordinate representations are used (in different reference frames) for the same physical vector.

• Provides an accessible, practical aid for teaching and self-study with a layout enabling a fundamental understanding of the subject
• Fills a gap in the existing literature by providing an analytical toolbox offering the reader a lasting, rigorous methodology for approaching vector mechanics, a key element vital to new graduates and practicing engineers alike
• Delivers an outstanding resource for aerospace engineering students, and all those involved in the technical aspects of design and engineering in the space sector
• Contains numerous illustrations to accompany the written text. Problems are included to apply and extend the material in each chapter

Essential reading for graduate level aerospace engineering students, aerospace professionals, researchers and engineers.

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Biographie:

Anton de Ruiter, Assistant Professor, Mechanical and Aerospace Engineering Department, Carleton University, Ottawa, Canada.
Obtained his PhD in Aerospace Engineering from the University of Toronto in 2005.? Until 2006 he was a Visiting Research Fellow at the Space Technologies Branch of the Canadian Space Agency.?His interests include Nano-Satellite Technologies, Interplanetary Missions, Spacecraft Formation Flying, Spacecraft Attitude and Orbit Determination and Control, GPS-based Spacecraft Navigation, Control Systems, and Optimization Theory and Applications.?Professor De Ruiter has written extensively on spacecraft dynamics and related topics for journals, articled papers and conference proceedings.

Christopher J. Damaren, Professor, University of Toronto Institute for Aerospace Studies.
Obtained his doctorate at UTIAS in 1990 in the area of control systems for flexible spacecraft. In the 1990's most of his research concentrated on control system design for large structurally flexible robot manipulator systems such as the Space Station robotic systems developed by Canada. Since joining the faculty of UTIAS in 1999, his research group has been involved in the dynamics and control of spacecraft including the orbital, attitude, and structural motions of these systems.

James R. Forbes, Assistant Professor, Department of Mechanical Engineering, McGill University.
Obtained his doctorate at UTIAS in 2011 in the area of control system design with applications to aerospace systems, including spacecraft attitude control. His teaching duties at McGill University include spacecraft dynamics and control courses at the upper undergraduate/beginning graduate level...

Sommaire:

Preface xvii

1 Kinematics 1

1.1 Physical Vectors 1

1.2 Reference Frames and Physical Vector Coordinates 6

1.3 Rotation Matrices 11

1.4 Derivatives of Vectors 32

1.5 Velocity and Acceleration 41

1.6 More Rigorous Definition of Angular Velocity 42

Notes 44

References 45

2 Rigid Body Dynamics 47

2.1 Dynamics of a Single Particle 47

2.2 Dynamics of a System of Particles 49

2.3 Rigid Body Dynamics 52

2.4 The Inertia Matrix 56

2.5 Kinetic Energy of a Rigid Body 60

Notes 63

References 63

3 The Keplerian Two-Body Problem 65

3.1 Equations of Motion 65

3.2 Constants of the Motion 67

3.3 Shape of a Keplerian Orbit 69

3.4 Kepler's Laws 80

3.5 Time of Flight 83

3.6 Orbital Elements 89

3.7 Orbital Elements given Position and Velocity 92

3.8 Position and Velocity given Orbital Elements 94

Notes 98

References 98

4 Preliminary Orbit Determination 99

4.1 Orbit Determination from Three Position Vectors 99

4.2 Orbit Determination from Three Line-of-Sight Vectors 103

4.3 Orbit Determination from Two Position Vectors and Time (Lambert's Problem) 109

Notes 114

References 114

5 Orbital Maneuvers 115

5.1 Simple Impulsive Maneuvers 115

5.2 Coplanar Maneuvers 116

5.3 Plane Change Maneuvers 123

5.4 Combined Maneuvers 125

5.5 Rendezvous 127

Notes 128

Reference 128

6 Interplanetary Trajectories 129

6.1 Sphere of Influence 129

6.2 Interplanetary Hohmann Transfers 133

6.3 Patched Conics 137

6.4 Planetary Flyby 143

6.5 Planetary Capture 145

Notes 146

References 147

7 Orbital Perturbations 149

7.1 Special Perturbations 150

7.1.1 Cowell's Method 151

7.2 General Perturbations 154

7.3 Gravitational Perturbations due to a Non-Spherical Primary Body 156

7.4 Effect of J2 on the Orbital Elements 164

7.5 Special Types of Orbits 168

7.6 Small Impulse Form of the Gauss Variational Equations 169

7.7 Derivation of the Remaining Gauss Variational Equations 171

Notes 180

References 181

8 Low Thrust Trajectory Analysis and Design 183

8.1 Problem Formulation 183

8.2 Coplanar Circle to Circle Transfers 184

8.3 Plane Change Maneuver 186

Notes 188

References 188

9 Spacecraft Formation Flying 189

9.1 Mathematical Description 190

9.2 Relative Motion Solutions 194

9.3 Special Types of Relative Orbits 203

Notes 207

Reference 207

10 The Restricted Three-Body Problem 209

10.1 Formulation 209

10.2 The Lagrangian Points 212

10.3 Stability of the Lagrangian Points 214

10.4 Jacobi's Integral 215

Notes 218

References 218

11 Introduction to Spacecraft Attitude Stabilization 219

11.1 Introduction to Control Systems 220

11.2 Overview of Attitude Representation and Kinematics 222

11.3 Overview of Spacecraft Attitude Dynamics 223

12 Disturbance Torques on a Spacecraft 227

12.1 Magnetic Torque 227

12.2 Solar Radiation Pressure Torque 228

12.3 Aerodynamic Torque 230

12.4 Gravity-Gradient Torque 231

Notes 234

Reference 234

13 Torque-Free Attitude Motion 235

13.1 Solution for an Axisymmetric Body 235

13.2 Physical Interpretation of the Motion 242

Notes 245

References 245

14 Spin Stabilization 247

14.1 Stability 247

14.2 Spi...