{"product_id":"spacecraft-dynamics-and-control-an-introduction-hardback-9781118342367","title":"Spacecraft Dynamics and Control; An Introduction (Hardback) 9781118342367","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSpacecraft Dynamics and Control\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eAn Introduction\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eAnton H. de Ruiter (Author), Christopher Damaren (Author), James R. Forbes (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781118342367, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 4 January 2013\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e592 pages\u003cbr\u003e24.9 x 17 x 3.8 cm, 1.202 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e“In conclusion, this book covers a broad range of areas – including some more in-depth content (stabilisation techniques, practical design issues) – and is best used as an introductory text to the field for latter year undergraduates.”  (\u003ci\u003eThe Aeronautical Journal\u003c\/i\u003e, 1 November 2014)\u003c\/p\u003e \u003cp\u003e“Overall, this book provides a good, comprehensive examination of the fundamentals of translational and rotational dynamics, determination, and control of spacecraft.  Summing Up: Recommended.  All academic and professional aerospace engineering collections.”  (\u003ci\u003eChoice\u003c\/i\u003e, 1 September 2013)\u003c\/p\u003e\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\u003cb\u003eProvides the basics of spacecraft orbital dynamics plus attitude dynamics and control, using vectrix notation\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003cb\u003e\u003ci\u003eSpacecraft Dynamics and Control: An Introduction\u003c\/i\u003e\u003c\/b\u003e 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.\u003c\/p\u003e \u003cul\u003e \u003cli\u003eProvides an accessible, practical aid for teaching and self-study with a layout enabling a fundamental understanding of the subject\u003c\/li\u003e \u003cli\u003eFills 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\u003c\/li\u003e \u003cli\u003eDelivers an outstanding resource for aerospace engineering students, and all those involved in the technical aspects of design and engineering in the space sector\u003c\/li\u003e \u003cli\u003eContains numerous illustrations to accompany the written text. Problems are included to apply and extend the material in each chapter\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eEssential reading for graduate level aerospace engineering students, aerospace professionals, researchers and engineers.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePreface xvii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Kinematics 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Physical Vectors 1\u003c\/p\u003e \u003cp\u003e1.2 Reference Frames and Physical Vector Coordinates 6\u003c\/p\u003e \u003cp\u003e1.3 Rotation Matrices 11\u003c\/p\u003e \u003cp\u003e1.4 Derivatives of Vectors 32\u003c\/p\u003e \u003cp\u003e1.5 Velocity and Acceleration 41\u003c\/p\u003e \u003cp\u003e1.6 More Rigorous Definition of Angular Velocity 42\u003c\/p\u003e \u003cp\u003eNotes 44\u003c\/p\u003e \u003cp\u003eReferences 45\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Rigid Body Dynamics 47\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Dynamics of a Single Particle 47\u003c\/p\u003e \u003cp\u003e2.2 Dynamics of a System of Particles 49\u003c\/p\u003e \u003cp\u003e2.3 Rigid Body Dynamics 52\u003c\/p\u003e \u003cp\u003e2.4 The Inertia Matrix 56\u003c\/p\u003e \u003cp\u003e2.5 Kinetic Energy of a Rigid Body 60\u003c\/p\u003e \u003cp\u003eNotes 63\u003c\/p\u003e \u003cp\u003eReferences 63\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 The Keplerian Two-Body Problem 65\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Equations of Motion 65\u003c\/p\u003e \u003cp\u003e3.2 Constants of the Motion 67\u003c\/p\u003e \u003cp\u003e3.3 Shape of a Keplerian Orbit 69\u003c\/p\u003e \u003cp\u003e3.4 Kepler’s Laws 80\u003c\/p\u003e \u003cp\u003e3.5 Time of Flight 83\u003c\/p\u003e \u003cp\u003e3.6 Orbital Elements 89\u003c\/p\u003e \u003cp\u003e3.7 Orbital Elements given Position and Velocity 92\u003c\/p\u003e \u003cp\u003e3.8 Position and Velocity given Orbital Elements 94\u003c\/p\u003e \u003cp\u003eNotes 98\u003c\/p\u003e \u003cp\u003eReferences 98\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Preliminary Orbit Determination 99\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Orbit Determination from Three Position Vectors 99\u003c\/p\u003e \u003cp\u003e4.2 Orbit Determination from Three Line-of-Sight Vectors 103\u003c\/p\u003e \u003cp\u003e4.3 Orbit Determination from Two Position Vectors and Time (Lambert’s Problem) 109\u003c\/p\u003e \u003cp\u003eNotes 114\u003c\/p\u003e \u003cp\u003eReferences 114\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Orbital Maneuvers 115\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Simple Impulsive Maneuvers 115\u003c\/p\u003e \u003cp\u003e5.2 Coplanar Maneuvers 116\u003c\/p\u003e \u003cp\u003e5.3 Plane Change Maneuvers 123\u003c\/p\u003e \u003cp\u003e5.4 Combined Maneuvers 125\u003c\/p\u003e \u003cp\u003e5.5 Rendezvous 127\u003c\/p\u003e \u003cp\u003eNotes 128\u003c\/p\u003e \u003cp\u003eReference 128\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Interplanetary Trajectories 129\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Sphere of Influence 129\u003c\/p\u003e \u003cp\u003e6.2 Interplanetary Hohmann Transfers 133\u003c\/p\u003e \u003cp\u003e6.3 Patched Conics 137\u003c\/p\u003e \u003cp\u003e6.4 Planetary Flyby 143\u003c\/p\u003e \u003cp\u003e6.5 Planetary Capture 145\u003c\/p\u003e \u003cp\u003eNotes 146\u003c\/p\u003e \u003cp\u003eReferences 147\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Orbital Perturbations 149\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Special Perturbations 150\u003c\/p\u003e \u003cp\u003e7.1.1 Cowell’s Method 151\u003c\/p\u003e \u003cp\u003e7.2 General Perturbations 154\u003c\/p\u003e \u003cp\u003e7.3 Gravitational Perturbations due to a Non-Spherical Primary Body 156\u003c\/p\u003e \u003cp\u003e7.4 Effect of J2 on the Orbital Elements 164\u003c\/p\u003e \u003cp\u003e7.5 Special Types of Orbits 168\u003c\/p\u003e \u003cp\u003e7.6 Small Impulse Form of the Gauss Variational Equations 169\u003c\/p\u003e \u003cp\u003e7.7 Derivation of the Remaining Gauss Variational Equations 171\u003c\/p\u003e \u003cp\u003eNotes 180\u003c\/p\u003e \u003cp\u003eReferences 181\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Low Thrust Trajectory Analysis and Design 183\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Problem Formulation 183\u003c\/p\u003e \u003cp\u003e8.2 Coplanar Circle to Circle Transfers 184\u003c\/p\u003e \u003cp\u003e8.3 Plane Change Maneuver 186\u003c\/p\u003e \u003cp\u003eNotes 188\u003c\/p\u003e \u003cp\u003eReferences 188\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Spacecraft Formation Flying 189\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Mathematical Description 190\u003c\/p\u003e \u003cp\u003e9.2 Relative Motion Solutions 194\u003c\/p\u003e \u003cp\u003e9.3 Special Types of Relative Orbits 203\u003c\/p\u003e \u003cp\u003eNotes 207\u003c\/p\u003e \u003cp\u003eReference 207\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 The Restricted Three-Body Problem 209\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Formulation 209\u003c\/p\u003e \u003cp\u003e10.2 The Lagrangian Points 212\u003c\/p\u003e \u003cp\u003e10.3 Stability of the Lagrangian Points 214\u003c\/p\u003e \u003cp\u003e10.4 Jacobi’s Integral 215\u003c\/p\u003e \u003cp\u003eNotes 218\u003c\/p\u003e \u003cp\u003eReferences 218\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Introduction to Spacecraft Attitude Stabilization 219\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Introduction to Control Systems 220\u003c\/p\u003e \u003cp\u003e11.2 Overview of Attitude Representation and Kinematics 222\u003c\/p\u003e \u003cp\u003e11.3 Overview of Spacecraft Attitude Dynamics 223\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Disturbance Torques on a Spacecraft 227\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Magnetic Torque 227\u003c\/p\u003e \u003cp\u003e12.2 Solar Radiation Pressure Torque 228\u003c\/p\u003e \u003cp\u003e12.3 Aerodynamic Torque 230\u003c\/p\u003e \u003cp\u003e12.4 Gravity-Gradient Torque 231\u003c\/p\u003e \u003cp\u003eNotes 234\u003c\/p\u003e \u003cp\u003eReference 234\u003c\/p\u003e \u003cp\u003e\u003cb\u003e13 Torque-Free Attitude Motion 235\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e13.1 Solution for an Axisymmetric Body 235\u003c\/p\u003e \u003cp\u003e13.2 Physical Interpretation of the Motion 242\u003c\/p\u003e \u003cp\u003eNotes 245\u003c\/p\u003e \u003cp\u003eReferences 245\u003c\/p\u003e \u003cp\u003e\u003cb\u003e14 Spin Stabilization 247\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e14.1 Stability 247\u003c\/p\u003e \u003cp\u003e14.2 Spin Stability of Torque-Free Motion 249\u003c\/p\u003e \u003cp\u003e14.3 Effect of Internal Energy Dissipation 252\u003c\/p\u003e \u003cp\u003eNotes 253\u003c\/p\u003e \u003cp\u003eReferences 253\u003c\/p\u003e \u003cp\u003e\u003cb\u003e15 Dual-Spin Stabilization 255\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e15.1 Equations of Motion 255\u003c\/p\u003e \u003cp\u003e15.2 Stability of Dual-Spin Torque-Free Motion 257\u003c\/p\u003e \u003cp\u003e15.3 Effect of Internal Energy Dissipation 259\u003c\/p\u003e \u003cp\u003eNotes 266\u003c\/p\u003e \u003cp\u003eReferences 266\u003c\/p\u003e \u003cp\u003e\u003cb\u003e16 Gravity-Gradient Stabilization 267\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e16.1 Equations of Motion 268\u003c\/p\u003e \u003cp\u003e16.2 Stability Analysis 272\u003c\/p\u003e \u003cp\u003eNotes 277\u003c\/p\u003e \u003cp\u003eReferences 277\u003c\/p\u003e \u003cp\u003e\u003cb\u003e17 Active Spacecraft Attitude Control 279\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e17.1 Attitude Control for a Nominally Inertially Fixed Spacecraft 280\u003c\/p\u003e \u003cp\u003e17.2 Transfer Function Representation of a System 281\u003c\/p\u003e \u003cp\u003e17.3 System Response to an Impulsive Input 282\u003c\/p\u003e \u003cp\u003e17.4 Block Diagrams 284\u003c\/p\u003e \u003cp\u003e17.5 The Feedback Control Problem 286\u003c\/p\u003e \u003cp\u003e17.6 Typical Control Laws 289\u003c\/p\u003e \u003cp\u003e17.7 Time-Domain Specifications 292\u003c\/p\u003e \u003cp\u003e17.8 Factors that Modify the Transient Behavior 308\u003c\/p\u003e \u003cp\u003e17.9 Steady-State Specifications and System Type 311\u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003e \u003c\/p\u003e \u003cp\u003eJWST251-FM JWST251-De-Ruiter Printer: Yet to Come November 2, 2012 14:18 Trim: 244mm\u003c\/p\u003e \u003cp\u003e×\u003c\/p\u003e \u003cp\u003e168mm\u003c\/p\u003e \u003cp\u003eviii\u003c\/p\u003e \u003cp\u003eContents\u003c\/p\u003e \u003cp\u003e2.4 The Inertia Matrix 56\u003c\/p\u003e \u003cp\u003e2.4.1 A Parallel Axis Theorem\u003c\/p\u003e \u003cp\u003e57\u003c\/p\u003e \u003cp\u003e2.4.2 A Rotational Transformation Theorem\u003c\/p\u003e \u003cp\u003e58\u003c\/p\u003e \u003cp\u003e2.4.3 Principal Axes\u003c\/p\u003e \u003cp\u003e59\u003c\/p\u003e \u003cp\u003e2.5 Kinetic Energy of a Rigid Body 60\u003c\/p\u003e \u003cp\u003eNotes\u003c\/p\u003e \u003cp\u003e63\u003c\/p\u003e \u003cp\u003eReferences 63\u003c\/p\u003e \u003cp\u003e3 The Keplerian Two-Body Problem 65\u003c\/p\u003e \u003cp\u003e3.1 Equations of Motion 65\u003c\/p\u003e \u003cp\u003e3.2 Constants of the Motion 67\u003c\/p\u003e \u003cp\u003e3.2.1 Orbital Angular Momentum\u003c\/p\u003e \u003cp\u003e67\u003c\/p\u003e \u003cp\u003e3.2.2 Orbital Energy\u003c\/p\u003e \u003cp\u003e67\u003c\/p\u003e \u003cp\u003e3.2.3 The Eccentricity Vector\u003c\/p\u003e \u003cp\u003e68\u003c\/p\u003e \u003cp\u003e3.3 Shape of a Keplerian Orbit 69\u003c\/p\u003e \u003cp\u003e3.3.1 Perifocal Coordinate System\u003c\/p\u003e \u003cp\u003e72\u003c\/p\u003e \u003cp\u003e3.4 Kepler’s Laws 80\u003c\/p\u003e \u003cp\u003e3.5 Time of Flight 83\u003c\/p\u003e \u003cp\u003e3.5.1 Circular Orbits\u003c\/p\u003e \u003cp\u003e83\u003c\/p\u003e \u003cp\u003e3.5.2 Elliptical Orbits\u003c\/p\u003e \u003cp\u003e84\u003c\/p\u003e \u003cp\u003e3.5.3 Parabolic Orbits\u003c\/p\u003e \u003cp\u003e88\u003c\/p\u003e \u003cp\u003e3.5.4 Hyperbolic Orbits\u003c\/p\u003e \u003cp\u003e89\u003c\/p\u003e \u003cp\u003e3.6 Orbital Elements 89\u003c\/p\u003e \u003cp\u003e3.6.1 Heliocentric-Ecliptic Coordinate System\u003c\/p\u003e \u003cp\u003e89\u003c\/p\u003e \u003cp\u003e3.6.2 Geocentric-Equatorial Coordinate System\u003c\/p\u003e \u003cp\u003e90\u003c\/p\u003e \u003cp\u003e3.7 Orbital Elements given Position and Velocity 92\u003c\/p\u003e \u003cp\u003e3.8 Position and Velocity given Orbital Elements 94\u003c\/p\u003e \u003cp\u003eNotes\u003c\/p\u003e \u003cp\u003e98\u003c\/p\u003e \u003cp\u003eReferences 98\u003c\/p\u003e \u003cp\u003e4 Preliminary Orbit Determination 99\u003c\/p\u003e \u003cp\u003e4.1 Orbit Determination from Three Position Vectors 99\u003c\/p\u003e \u003cp\u003e4.2 Orbit Determination from Three Line-of-Sight Vectors 103\u003c\/p\u003e \u003cp\u003e4.3 Orbit Determination from Two Position Vectors and Time (Lambert’s\u003c\/p\u003e \u003cp\u003eProblem) 109\u003c\/p\u003e \u003cp\u003e4.3.1 The Lagrangian Coefficients\u003c\/p\u003e \u003cp\u003e110\u003c\/p\u003e \u003cp\u003eNotes\u003c\/p\u003e \u003cp\u003e114\u003c\/p\u003e \u003cp\u003eReferences 114\u003c\/p\u003e \u003cp\u003e5 Orbital Maneuvers 115\u003c\/p\u003e \u003cp\u003e5.1 Simple Impulsive Maneuvers 115\u003c\/p\u003e \u003cp\u003e5.2 Coplanar Maneuvers 116\u003c\/p\u003e \u003cp\u003e5.2.1 Hohmann Transfers\u003c\/p\u003e \u003cp\u003e118\u003c\/p\u003e \u003cp\u003e5.2.2 Bi-Elliptic Transfers\u003c\/p\u003e \u003cp\u003e120\u003c\/p\u003e \u003cp\u003e5.3 Plane Change Maneuvers 123\u003c\/p\u003e \u003cp\u003eFOR SCREEN VIEWING IN DART ONLY\u003c\/p\u003e \u003cp\u003eJWST251-FM JWST251-De-Ruiter Printer: Yet to Come November 2, 2012 14:18 Trim: 244mm\u003c\/p\u003e \u003cp\u003e×\u003c\/p\u003e \u003cp\u003e168mm\u003c\/p\u003e \u003cp\u003eContents\u003c\/p\u003e \u003cp\u003eix\u003c\/p\u003e \u003cp\u003e5.4 Combined Maneuvers 125\u003c\/p\u003e \u003cp\u003e5.5 Rendezvous 127\u003c\/p\u003e \u003cp\u003eNotes\u003c\/p\u003e \u003cp\u003e128\u003c\/p\u003e \u003cp\u003eReference 128\u003c\/p\u003e \u003cp\u003e6 Interplanetary Trajectories 129\u003c\/p\u003e \u003cp\u003e6.1 Sphere of Influence 129\u003c\/p\u003e \u003cp\u003e6.2 Interplanetary Hohmann Transfers 133\u003c\/p\u003e \u003cp\u003e6.3 Patched Conics 137\u003c\/p\u003e \u003cp\u003e6.3.1 Departure Hyperbola\u003c\/p\u003e \u003cp\u003e139\u003c\/p\u003e \u003cp\u003e6.3.2 Arrival Hyperbola\u003c\/p\u003e \u003cp\u003e141\u003c\/p\u003e \u003cp\u003e6.4 Planetary Flyby 143\u003c\/p\u003e \u003cp\u003e6.5 Planetary Capture 145\u003c\/p\u003e \u003cp\u003eNotes\u003c\/p\u003e \u003cp\u003e146\u003c\/p\u003e \u003cp\u003eReferences 147\u003c\/p\u003e \u003cp\u003e7 Orbital Perturbations 149\u003c\/p\u003e \u003cp\u003e7.1 Special Perturbations 150\u003c\/p\u003e \u003cp\u003e7.1.1 Cowell’s Method\u003c\/p\u003e \u003cp\u003e151\u003c\/p\u003e \u003cp\u003e7.1.2 Encke’s Method\u003c\/p\u003e \u003cp\u003e151\u003c\/p\u003e \u003cp\u003e7.2 General Perturbations 154\u003c\/p\u003e \u003cp\u003e7.3 Gravitational Perturbations due to a Non-Spherical Primary Body 156\u003c\/p\u003e \u003cp\u003e7.3.1 The Perturbative Force Per Unit Mass Due to J\u003c\/p\u003e \u003cp\u003e2\u003c\/p\u003e \u003cp\u003e163\u003c\/p\u003e \u003cp\u003e7.4 Effect of\u003c\/p\u003e \u003cp\u003eJ\u003c\/p\u003e \u003cp\u003e2\u003c\/p\u003e \u003cp\u003eon the Orbital Elements 164\u003c\/p\u003e \u003cp\u003e7.5 Special Types of Orbits 168\u003c\/p\u003e \u003cp\u003e7.5.1 Sun-Synchronous Orbits\u003c\/p\u003e \u003cp\u003e168\u003c\/p\u003e \u003cp\u003e7.5.2 Molniya Orbits\u003c\/p\u003e \u003cp\u003e169\u003c\/p\u003e \u003cp\u003e7.6 Small Impulse Form of the Gauss Variational Equations 169\u003c\/p\u003e \u003cp\u003e7.7 Derivation of the Remaining Gauss Variational Equations 171\u003c\/p\u003e \u003cp\u003eNotes\u003c\/p\u003e \u003cp\u003e180\u003c\/p\u003e \u003cp\u003eReferences 181\u003c\/p\u003e \u003cp\u003e8 Low Thrust Trajectory Analysis and Design 183\u003c\/p\u003e \u003cp\u003e8.1 Problem Formulation 183\u003c\/p\u003e \u003cp\u003e8.2 Coplanar Circle to Circle Transfers 184\u003c\/p\u003e \u003cp\u003e8.3 Plane Change Maneuver 186\u003c\/p\u003e \u003cp\u003eNotes\u003c\/p\u003e \u003cp\u003e188\u003c\/p\u003e \u003cp\u003eReferences 188\u003c\/p\u003e \u003cp\u003e9 Spacecraft Formation Flying 189\u003c\/p\u003e \u003cp\u003e9.1 Mathematical Description 190\u003c\/p\u003e \u003cp\u003e9.2 Relative Motion Solutions 194\u003c\/p\u003e \u003cp\u003e9.2.1 Out-of-Plane Motion\u003c\/p\u003e \u003cp\u003e195\u003c\/p\u003e \u003cp\u003e9.2.2 In-Plane Motion\u003c\/p\u003e \u003cp\u003e195\u003c\/p\u003e \u003cp\u003eFOR SCREEN VIEWING IN DART ONLY\u003c\/p\u003e \u003cp\u003eJWST251-FM JWST251-De-Ruiter Printer: Yet to Come November 2, 2012 14:18 Trim: 244mm\u003c\/p\u003e \u003cp\u003e×\u003c\/p\u003e \u003cp\u003e168mm\u003c\/p\u003e \u003cp\u003ex\u003c\/p\u003e \u003cp\u003eContents\u003c\/p\u003e \u003cp\u003e9.2.3 Alternative Description for In-Plane Relative Motion\u003c\/p\u003e \u003cp\u003e198\u003c\/p\u003e \u003cp\u003e9.2.4 Further Examination of In-Plane Motion\u003c\/p\u003e \u003cp\u003e200\u003c\/p\u003e \u003cp\u003e9.2.5 Out-of-Plane Motion - Revisited\u003c\/p\u003e \u003cp\u003e202\u003c\/p\u003e \u003cp\u003e9.3 Special Types of Relative Orbits 203\u003c\/p\u003e \u003cp\u003e9.3.1 Along-Track Orbits\u003c\/p\u003e \u003cp\u003e203\u003c\/p\u003e \u003cp\u003e9.3.2 Projected Elliptical Orbits\u003c\/p\u003e \u003cp\u003e204\u003c\/p\u003e \u003cp\u003e9.3.3 Projected Circular Orbits\u003c\/p\u003e \u003cp\u003e207\u003c\/p\u003e \u003cp\u003eNotes\u003c\/p\u003e \u003cp\u003e207\u003c\/p\u003e \u003cp\u003eReference 207\u003c\/p\u003e \u003cp\u003e10 The Restricted Three-Body Problem 209\u003c\/p\u003e \u003cp\u003e10.1 Formulation 209\u003c\/p\u003e \u003cp\u003e10.1.1 Equations of Motion\u003c\/p\u003e \u003cp\u003e211\u003c\/p\u003e \u003cp\u003e10.2 The Lagrangian Points 212\u003c\/p\u003e \u003cp\u003e10.2.1 Case (i)\u003c\/p\u003e \u003cp\u003e212\u003c\/p\u003e \u003cp\u003e10.2.2 Case (ii)\u003c\/p\u003e \u003cp\u003e213\u003c\/p\u003e \u003cp\u003e10.3 Stability of the Lagrangian Points 214\u003c\/p\u003e \u003cp\u003e10.3.1 Comments\u003c\/p\u003e \u003cp\u003e215\u003c\/p\u003e \u003cp\u003e10.4 Jacobi’s Integral 215\u003c\/p\u003e \u003cp\u003e10.4.1 Hill’s Curves\u003c\/p\u003e \u003cp\u003e216\u003c\/p\u003e \u003cp\u003e10.4.2 Comments on Figure 10.5\u003c\/p\u003e \u003cp\u003e218\u003c\/p\u003e \u003cp\u003eNotes\u003c\/p\u003e \u003cp\u003e218\u003c\/p\u003e \u003cp\u003eReferences 218\u003c\/p\u003e \u003cp\u003e11 Introduction to Spacecraft Attitude Stabilization 219\u003c\/p\u003e \u003cp\u003e11.1 Introduction to Control Systems 220\u003c\/p\u003e \u003cp\u003e11.1.1 Open-loop versus Closed-loop\u003c\/p\u003e \u003cp\u003e220\u003c\/p\u003e \u003cp\u003e11.1.2 Typical Feedback Control Structure\u003c\/p\u003e \u003cp\u003e221\u003c\/p\u003e \u003cp\u003e11.2 Overview of Attitude Representation and Kinematics 222\u003c\/p\u003e \u003cp\u003e11.3 Overview of Spacecraft Attitude Dynamics 223\u003c\/p\u003e \u003cp\u003e11.3.1 Properties of the Inertia Matrix - A Summary\u003c\/p\u003e \u003cp\u003e224\u003c\/p\u003e \u003cp\u003e12 Disturbance Torques on a Spacecraft 227\u003c\/p\u003e \u003cp\u003e12.1 Magnetic Torque 227\u003c\/p\u003e \u003cp\u003e12.2 Solar Radiation Pressure Torque 228\u003c\/p\u003e \u003cp\u003e12.3 Aerodynamic Torque 230\u003c\/p\u003e \u003cp\u003e12.4 Gravity-Gradient Torque 231\u003c\/p\u003e \u003cp\u003eNotes\u003c\/p\u003e \u003cp\u003e234\u003c\/p\u003e \u003cp\u003eReference 234\u003c\/p\u003e \u003cp\u003e13 Torque-Free Attitude Motion 235\u003c\/p\u003e \u003cp\u003e13.1 Solution for an Axisymmetric Body 235\u003c\/p\u003e \u003cp\u003e13.2 Physical Interpretation of the Motion 242\u003c\/p\u003e \u003cp\u003eNotes\u003c\/p\u003e \u003cp\u003e245\u003c\/p\u003e \u003cp\u003eReferences 245\u003c\/p\u003e \u003cp\u003eFOR SCREEN VIEWING IN DART ONLY\u003c\/p\u003e \u003cp\u003eJWST251-FM JWST251-De-Ruiter Printer: Yet to Come November 2, 2012 14:18 Trim: 244mm\u003c\/p\u003e \u003cp\u003e×\u003c\/p\u003e \u003cp\u003e168mm\u003c\/p\u003e \u003cp\u003eContents\u003c\/p\u003e \u003cp\u003exi\u003c\/p\u003e \u003cp\u003e14 Spin Stabilization 247\u003c\/p\u003e \u003cp\u003e14.1 Stability 247\u003c\/p\u003e \u003cp\u003e14.2 Spin Stability of Torque-Free Motion 249\u003c\/p\u003e \u003cp\u003e14.3 Effect of Internal Energy Dissipation 252\u003c\/p\u003e \u003cp\u003e14.3.1 Energy Sink Hypothesis\u003c\/p\u003e \u003cp\u003e252\u003c\/p\u003e \u003cp\u003e14.3.2 Major Axis Rule\u003c\/p\u003e \u003cp\u003e253\u003c\/p\u003e \u003cp\u003eNotes\u003c\/p\u003e \u003cp\u003e253\u003c\/p\u003e \u003cp\u003eReferences 253\u003c\/p\u003e \u003cp\u003e15 Dual-Spin Stabilization 255\u003c\/p\u003e \u003cp\u003e15.1 Equations of Motion 255\u003c\/p\u003e \u003cp\u003e15.2 Stability of Dual-Spin Torque-Free Motion 257\u003c\/p\u003e \u003cp\u003e15.3 Effect of Internal Energy Dissipation 259\u003c\/p\u003e \u003cp\u003eNotes\u003c\/p\u003e \u003cp\u003e266\u003c\/p\u003e \u003cp\u003eReferences 266\u003c\/p\u003e \u003cp\u003e16 Gravity-Gradient Stabilization 267\u003c\/p\u003e \u003cp\u003e16.1 Equations of Motion 268\u003c\/p\u003e \u003cp\u003e16.2 Stability Analysis 272\u003c\/p\u003e \u003cp\u003e16.2.1 Pitch Motion\u003c\/p\u003e \u003cp\u003e272\u003c\/p\u003e \u003cp\u003e16.2.2 Roll-Yaw Motion\u003c\/p\u003e \u003cp\u003e273\u003c\/p\u003e \u003cp\u003e16.2.3 Combined Pitch and Roll\/Yaw\u003c\/p\u003e \u003cp\u003e277\u003c\/p\u003e \u003cp\u003eNotes\u003c\/p\u003e \u003cp\u003e277\u003c\/p\u003e \u003cp\u003eReferences 277\u003c\/p\u003e \u003cp\u003e17 Active Spacecraft Attitude Control 279\u003c\/p\u003e \u003cp\u003e17.1 Attitude Control for a Nominally Inertially Fixed Spacecraft 280\u003c\/p\u003e \u003cp\u003e17.2 Transfer Function Representation of a System 281\u003c\/p\u003e \u003cp\u003e17.3 System Response to an Impulsive Input 282\u003c\/p\u003e \u003cp\u003e17.4 Block Diagrams 284\u003c\/p\u003e \u003cp\u003e17.5 The Feedback Control Problem 286\u003c\/p\u003e \u003cp\u003e17.6 Typical Control Laws 289\u003c\/p\u003e \u003cp\u003e17.7 Time-Domain Specifications 292\u003c\/p\u003e \u003cp\u003e17.8 Factors that Modify the Transient Behavior 308\u003c\/p\u003e \u003cp\u003e17.9 Steady-State Specifications and System Type 311\u003c\/p\u003e \u003cp\u003e17.10 Effect of Disturbances 316\u003c\/p\u003e \u003cp\u003e17.11 Actuator Limitations 319\u003c\/p\u003e \u003cp\u003eNotes 320\u003c\/p\u003e \u003cp\u003eReferences 320\u003c\/p\u003e \u003cp\u003e\u003cb\u003e18 Routh’s Stability Criterion 321\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e18.1 Proportional-Derivative Control with Actuator Dynamics 322\u003c\/p\u003e \u003cp\u003e18.2 Active Dual-Spin Stabilization 325\u003c\/p\u003e \u003cp\u003eNotes 330\u003c\/p\u003e \u003cp\u003eReferences 330\u003c\/p\u003e \u003cp\u003e\u003cb\u003e19 The Root Locus 331\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e19.1 Rules for Constructing the Root Locus 332\u003c\/p\u003e \u003cp\u003e19.2 PD Attitude Control with Actuator Dynamics - Revisited 341\u003c\/p\u003e \u003cp\u003e19.3 Derivation of the Rules for Constructing the Root Locus 345\u003c\/p\u003e \u003cp\u003eNotes 353\u003c\/p\u003e \u003cp\u003eReferences 353\u003c\/p\u003e \u003cp\u003e\u003cb\u003e20 Control Design by the Root Locus Method 355\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e20.1 Typical Types of Controllers 357\u003c\/p\u003e \u003cp\u003e20.2 PID Design for Spacecraft Attitude Control 361\u003c\/p\u003e \u003cp\u003eNotes 369\u003c\/p\u003e \u003cp\u003eReferences 369\u003c\/p\u003e \u003cp\u003e\u003cb\u003e21 Frequency Response 371\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e21.1 Frequency Response and Bode Plots 372\u003c\/p\u003e \u003cp\u003e21.2 Low-Pass Filter Design 383\u003c\/p\u003e \u003cp\u003eNotes 385\u003c\/p\u003e \u003cp\u003eReferences 385\u003c\/p\u003e \u003cp\u003e\u003cb\u003e22 Relative Stability 387\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e22.1 Polar Plots 387\u003c\/p\u003e \u003cp\u003e22.2 Nyquist Stability Criterion 390\u003c\/p\u003e \u003cp\u003e22.3 Stability Margins 399\u003c\/p\u003e \u003cp\u003eNotes 410\u003c\/p\u003e \u003cp\u003eReferences 410\u003c\/p\u003e \u003cp\u003e\u003cb\u003e23 Control Design in the Frequency Domain 411\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e23.1 Feedback Control Problem - Revisited 416\u003c\/p\u003e \u003cp\u003e23.2 Control Design 422\u003c\/p\u003e \u003cp\u003e23.3 Example - PID Design for Spacecraft Attitude Control 430\u003c\/p\u003e \u003cp\u003eNotes 435\u003c\/p\u003e \u003cp\u003eReferences 435\u003c\/p\u003e \u003cp\u003e\u003cb\u003e24 Nonlinear Spacecraft Attitude Control 437\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e24.1 State-Space Representation of the Spacecraft Attitude Equations 437\u003c\/p\u003e \u003cp\u003e24.2 Stability Definitions 440\u003c\/p\u003e \u003cp\u003e24.3 Stability Analysis 442\u003c\/p\u003e \u003cp\u003e24.4 LaSalle’s Theorem 448\u003c\/p\u003e \u003cp\u003e24.5 Spacecraft Attitude Control with Quaternion and Angular Rate Feedback 451\u003c\/p\u003e \u003cp\u003eNotes 456\u003c\/p\u003e \u003cp\u003eReferences 457\u003c\/p\u003e \u003cp\u003e\u003cb\u003e25 Spacecraft Navigation 459\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e25.1 Review of Probability Theory 459\u003c\/p\u003e \u003cp\u003e25.2 Batch Approaches for Spacecraft Attitude Estimation 467\u003c\/p\u003e \u003cp\u003e25.3 The Kalman Filter 477\u003c\/p\u003e \u003cp\u003eNotes 496\u003c\/p\u003e \u003cp\u003eReferences 497\u003c\/p\u003e \u003cp\u003e\u003cb\u003e26 Practical Spacecraft Attitude Control Design Issues 499\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e26.1 Attitude Sensors 499\u003c\/p\u003e \u003cp\u003e26.2 Attitude Actuators 506\u003c\/p\u003e \u003cp\u003e26.3 Control Law Implementation 511\u003c\/p\u003e \u003cp\u003e26.4 Unmodeled Dynamics 523\u003c\/p\u003e \u003cp\u003eNotes 539\u003c\/p\u003e \u003cp\u003eReferences\u003c\/p\u003e \u003cp\u003eAppendix A: Review of Complex Variables 541\u003c\/p\u003e \u003cp\u003eAppendix B: Numerical Simulation of Spacecraft Motion 557\u003c\/p\u003e \u003cp\u003eNotes 561\u003c\/p\u003e \u003cp\u003eReference 561\u003c\/p\u003e \u003cp\u003eIndex 563\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mechanical engineering \u0026amp; materials [\u003ca 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