{"product_id":"foundations-of-space-dynamics-isbn-9781119455349","title":"Foundations of Space Dynamics","description":"\u003cp\u003e\u003cb\u003eAn introduction to orbital mechanics and spacecraft attitude dynamics\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eFoundations of Space Dynamics\u003c\/i\u003e offers an authoritative text that combines a comprehensive review of both orbital mechanics and dynamics. The author a noted expert in the field covers up-to-date topics including: orbital perturbations, Lambert's transfer, formation flying, and gravity-gradient stabilization. The text provides an introduction to space dynamics in its entirety, including important analytical derivations and practical space flight examples.\u003c\/p\u003e \u003cp\u003eWritten in an accessible and concise style, \u003ci\u003eFoundations of Space Dynamics\u003c\/i\u003e highlights analytical development and rigor, rather than numerical solutions via ready-made computer codes. To enhance learning, the book is filled with helpful tables, figures, exercises, and solved examples.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eThis important book:\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003e\u003cb\u003eCovers space dynamics with a systematic and comprehensive approach\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eIs designed to be a practical text filled with real-world examples\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eContains information on the most current applications\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eIncludes up-to-date topics from orbital perturbations to gravity- gradient stabilization\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eOffers a deep understanding of space dynamics often lacking in other textbooks\u003c\/b\u003e\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eWritten for undergraduate and graduate students and professionals in aerospace engineering, \u003ci\u003eFoundations of Space Dynamics\u003c\/i\u003e offers an introduction to the most current information on orbital mechanics and dynamics.\u003c\/p\u003e \u003cp\u003ePreface xiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1 Introduction 1\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Space Flight 1\u003c\/p\u003e \u003cp\u003e1.1.1 Atmosphere as Perturbing Environment 1\u003c\/p\u003e \u003cp\u003e1.1.2 Gravity as the Governing Force 4\u003c\/p\u003e \u003cp\u003e1.1.3 Topics in Space Dynamics 5\u003c\/p\u003e \u003cp\u003e1.2 Reference Frames and Time Scales 5\u003c\/p\u003e \u003cp\u003e1.2.1 Sidereal Frame 5\u003c\/p\u003e \u003cp\u003e1.2.2 Celestial Frame 8\u003c\/p\u003e \u003cp\u003e1.2.3 Synodic Frame 8\u003c\/p\u003e \u003cp\u003e1.2.4 Julian Date 8\u003c\/p\u003e \u003cp\u003e1.3 Classification of Space Missions 10\u003c\/p\u003e \u003cp\u003eExercises 10\u003c\/p\u003e \u003cp\u003eReferences 11\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2 Dynamics 13\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Notation and Basics 13\u003c\/p\u003e \u003cp\u003e2.2 Plane Kinematics 14\u003c\/p\u003e \u003cp\u003e2.3 Newton’s Laws 16\u003c\/p\u003e \u003cp\u003e2.4 Particle Dynamics 17\u003c\/p\u003e \u003cp\u003e2.5 The \u003ci\u003en\u003c\/i\u003e-Body Problem 20\u003c\/p\u003e \u003cp\u003e2.6 Dynamics of a Body 24\u003c\/p\u003e \u003cp\u003e2.7 Gravity Field of a Body 27\u003c\/p\u003e \u003cp\u003e2.7.1 Legendre Polynomials 29\u003c\/p\u003e \u003cp\u003e2.7.2 Spherical Coordinates 31\u003c\/p\u003e \u003cp\u003e2.7.3 Axisymmetric Body 34\u003c\/p\u003e \u003cp\u003e2.7.4 Spherical Body with Radially Symmetric Mass Distribution 37\u003c\/p\u003e \u003cp\u003eExercises 37\u003c\/p\u003e \u003cp\u003eReferences 40\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3 Keplerian Motion 41\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 The Two-Body Problem 41\u003c\/p\u003e \u003cp\u003e3.2 Orbital Angular Momentum 43\u003c\/p\u003e \u003cp\u003e3.3 Orbital Energy Integral 45\u003c\/p\u003e \u003cp\u003e3.4 Orbital Eccentricity 46\u003c\/p\u003e \u003cp\u003e3.5 Orbit Equation 49\u003c\/p\u003e \u003cp\u003e3.5.1 Elliptic Orbit 53\u003c\/p\u003e \u003cp\u003e3.5.2 Parabolic Orbit 56\u003c\/p\u003e \u003cp\u003e3.5.3 Hyperbolic Orbit 56\u003c\/p\u003e \u003cp\u003e3.5.4 Rectilinear Motion 58\u003c\/p\u003e \u003cp\u003e3.6 Orbital Velocity and Flight Path Angle 60\u003c\/p\u003e \u003cp\u003e3.7 Perifocal Frame and Lagrange’s Coefficients 63\u003c\/p\u003e \u003cp\u003eExercises 65\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4 Time in Orbit 69\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Position and Velocity in an Elliptic Orbit 70\u003c\/p\u003e \u003cp\u003e4.2 Solution to Kepler’s Equation 75\u003c\/p\u003e \u003cp\u003e4.2.1 Newton’s Method 76\u003c\/p\u003e \u003cp\u003e4.2.2 Solution by Bessel Functions 78\u003c\/p\u003e \u003cp\u003e4.3 Position and Velocity in a Hyperbolic Orbit 80\u003c\/p\u003e \u003cp\u003e4.4 Position and Velocity in a Parabolic Orbit 84\u003c\/p\u003e \u003cp\u003e4.5 Universal Variable for Keplerian Motion 86\u003c\/p\u003e \u003cp\u003eExercises 88\u003c\/p\u003e \u003cp\u003eReferences 89\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5 Orbital Plane 91\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Rotation Matrix 91\u003c\/p\u003e \u003cp\u003e5.2 Euler Axis and Principal Angle 94\u003c\/p\u003e \u003cp\u003e5.3 Elementary Rotations and Euler Angles 97\u003c\/p\u003e \u003cp\u003e5.4 Euler-Angle Representation of the Orbital Plane 101\u003c\/p\u003e \u003cp\u003e5.4.1 Celestial Reference Frame 103\u003c\/p\u003e \u003cp\u003e5.4.2 Local-Horizon Frame 104\u003c\/p\u003e \u003cp\u003e5.4.3 Classical Euler Angles 106\u003c\/p\u003e \u003cp\u003e5.5 Planet-Fixed Coordinate System 111\u003c\/p\u003e \u003cp\u003eExercises 114\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6 Orbital Manoeuvres 117\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Single-Impulse Orbital Manoeuvres 119\u003c\/p\u003e \u003cp\u003e6.2 Multi-impulse Orbital Transfer 123\u003c\/p\u003e \u003cp\u003e6.2.1 Hohmann Transfer 124\u003c\/p\u003e \u003cp\u003e6.2.2 Rendezvous in Circular Orbit 127\u003c\/p\u003e \u003cp\u003e6.2.3 Outer Bi-elliptic Transfer 130\u003c\/p\u003e \u003cp\u003e6.3 Continuous Thrust Manoeuvres 133\u003c\/p\u003e \u003cp\u003e6.3.1 Planar Manoeuvres 134\u003c\/p\u003e \u003cp\u003e6.3.2 Constant Radial Acceleration from Circular Orbit 135\u003c\/p\u003e \u003cp\u003e6.3.3 Constant Circumferential Acceleration from Circular Orbit 136\u003c\/p\u003e \u003cp\u003e6.3.4 Constant Tangential Acceleration from Circular Orbit 139\u003c\/p\u003e \u003cp\u003eExercises 141\u003c\/p\u003e \u003cp\u003eReferences 143\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7 Relative Motion in Orbit 145\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Hill-Clohessy-Wiltshire Equations 148\u003c\/p\u003e \u003cp\u003e7.2 Linear State-Space Model 151\u003c\/p\u003e \u003cp\u003e7.3 Impulsive Manoeuvres About a Circular Orbit 153\u003c\/p\u003e \u003cp\u003e7.3.1 Orbital Rendezvous 153\u003c\/p\u003e \u003cp\u003e7.4 Keplerian Relative Motion 155\u003c\/p\u003e \u003cp\u003eExercises 158\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8 Lambert’s Problem 161\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Two-Point Orbital Transfer 161\u003c\/p\u003e \u003cp\u003e8.1.1 Transfer Triangle and Terminal Velocity Vectors 162\u003c\/p\u003e \u003cp\u003e8.2 Elliptic Transfer 164\u003c\/p\u003e \u003cp\u003e8.2.1 Locus of the Vacant Focii 165\u003c\/p\u003e \u003cp\u003e8.2.2 Minimum-Energy and Minimum-Eccentricity Transfers 166\u003c\/p\u003e \u003cp\u003e8.3 Lambert’s Theorem 168\u003c\/p\u003e \u003cp\u003e8.3.1 Time in Elliptic Transfer 169\u003c\/p\u003e \u003cp\u003e8.3.2 Time in Hyperbolic Transfer 173\u003c\/p\u003e \u003cp\u003e8.3.3 Time in Parabolic Transfer 175\u003c\/p\u003e \u003cp\u003e8.4 Solution to Lambert’s Problem 177\u003c\/p\u003e \u003cp\u003e8.4.1 Parameter of Transfer Orbit 178\u003c\/p\u003e \u003cp\u003e8.4.2 Stumpff Function Method 179\u003c\/p\u003e \u003cp\u003e8.4.3 Hypergeometric Function Method 185\u003c\/p\u003e \u003cp\u003eExercises 188\u003c\/p\u003e \u003cp\u003eReferences 190\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9 Orbital Perturbations 191\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 Perturbing Acceleration 191\u003c\/p\u003e \u003cp\u003e9.2 Osculating Orbit 192\u003c\/p\u003e \u003cp\u003e9.3 Variation of Parameters 194\u003c\/p\u003e \u003cp\u003e9.3.1 Lagrange Brackets 197\u003c\/p\u003e \u003cp\u003e9.4 Lagrange Planetary Equations 199\u003c\/p\u003e \u003cp\u003e9.5 Gauss Variational Model 209\u003c\/p\u003e \u003cp\u003e9.6 Variation of Vectors 214\u003c\/p\u003e \u003cp\u003e9.7 Mean Orbital Perturbation 219\u003c\/p\u003e \u003cp\u003e9.8 Orbital Perturbation Due to Oblateness 220\u003c\/p\u003e \u003cp\u003e9.8.1 Sun-Synchronous Orbits 225\u003c\/p\u003e \u003cp\u003e9.8.2 Molniya Orbits 226\u003c\/p\u003e \u003cp\u003e9.9 Effects of Atmospheric Drag 227\u003c\/p\u003e \u003cp\u003e9.9.1 Life of a Satellite in a Low Circular Orbit 228\u003c\/p\u003e \u003cp\u003e9.9.2 Effect on Orbital Angular Momentum 229\u003c\/p\u003e \u003cp\u003e9.9.3 Effect on Orbital Eccentricity and Periapsis 231\u003c\/p\u003e \u003cp\u003e9.10 Third-Body Perturbation 235\u003c\/p\u003e \u003cp\u003e9.10.1 Lunar and Solar Perturbations on an Earth Satellite 238\u003c\/p\u003e \u003cp\u003e9.10.2 Sphere of Influence and Conic Patching 243\u003c\/p\u003e \u003cp\u003e9.11 Numerical Methods for Perturbed Keplerian Motion 246\u003c\/p\u003e \u003cp\u003e9.11.1 Cowell’s Method 246\u003c\/p\u003e \u003cp\u003e9.11.2 Encke’s Method 246\u003c\/p\u003e \u003cp\u003eExercises 250\u003c\/p\u003e \u003cp\u003eReferences 254\u003c\/p\u003e \u003cp\u003e\u003cb\u003e10 Three-Body Problem 255\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e10.1 Equations of Motion 256\u003c\/p\u003e \u003cp\u003e10.2 Particular Solutions by Lagrange 257\u003c\/p\u003e \u003cp\u003eEquilibrium Solutions in a Rotating Frame 257\u003c\/p\u003e \u003cp\u003eConic Section Solutions 259\u003c\/p\u003e \u003cp\u003e10.3 Circular Restricted Three-Body Problem 261\u003c\/p\u003e \u003cp\u003e10.3.1 Equations of Motion in the Inertial Frame 261\u003c\/p\u003e \u003cp\u003e10.4 Non-dimensional Equations in the Synodic Frame 263\u003c\/p\u003e \u003cp\u003e10.5 Lagrangian Points and Stability 267\u003c\/p\u003e \u003cp\u003e10.5.1 Stability Analysis 268\u003c\/p\u003e \u003cp\u003e10.6 Orbital Energy and Jacobi’s Integral 270\u003c\/p\u003e \u003cp\u003e10.6.1 Zero-Relative-Speed Contours 272\u003c\/p\u003e \u003cp\u003e10.6.2 Tisserand’s Criterion 275\u003c\/p\u003e \u003cp\u003e10.7 Canonical Formulation 276\u003c\/p\u003e \u003cp\u003e10.8 Special Three-Body Trajectories 278\u003c\/p\u003e \u003cp\u003e10.8.1 Perturbed Orbits About a Primary 279\u003c\/p\u003e \u003cp\u003e10.8.2 Free-Return Trajectories 279\u003c\/p\u003e \u003cp\u003eExercises 282\u003c\/p\u003e \u003cp\u003eReference 283\u003c\/p\u003e \u003cp\u003e\u003cb\u003e11 Attitude Dynamics 285\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e11.1 Euler’s Equations of Attitude Kinetics 286\u003c\/p\u003e \u003cp\u003e11.2 Attitude Kinematics 288\u003c\/p\u003e \u003cp\u003e11.3 Rotational Kinetic Energy 290\u003c\/p\u003e \u003cp\u003e11.4 Principal Axes 292\u003c\/p\u003e \u003cp\u003e11.5 Torque-Free Rotation of Spacecraft 294\u003c\/p\u003e \u003cp\u003e11.5.1 Stability of Rotational States 295\u003c\/p\u003e \u003cp\u003e11.6 Precession and Nutation 298\u003c\/p\u003e \u003cp\u003e11.7 Semi-Rigid Spacecraft 299\u003c\/p\u003e \u003cp\u003e11.7.1 Dual-Spin Stability 301\u003c\/p\u003e \u003cp\u003e11.8 Solution to Torque-Free Euler’s Equations 303\u003c\/p\u003e \u003cp\u003e11.8.1 Axisymmetric Spacecraft 304\u003c\/p\u003e \u003cp\u003e11.8.2 Jacobian Elliptic Functions 307\u003c\/p\u003e \u003cp\u003e11.8.3 Runge-Kutta Solution 308\u003c\/p\u003e \u003cp\u003e11.9 Gravity-Gradient Stabilization 312\u003c\/p\u003e \u003cp\u003eExercises 321\u003c\/p\u003e \u003cp\u003e\u003cb\u003e12 Attitude Manoeuvres 323\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e12.1 Impulsive Manoeuvres with Attitude Thrusters 323\u003c\/p\u003e \u003cp\u003e12.1.1 Single-Axis Rotation 324\u003c\/p\u003e \u003cp\u003e12.1.2 Rigid Axisymmetric Spin-Stabilized Spacecraft 326\u003c\/p\u003e \u003cp\u003e12.1.3 Spin-Stabilized Asymmetric Spacecraft 330\u003c\/p\u003e \u003cp\u003e12.2 Attitude Manoeuvres with Rotors 330\u003c\/p\u003e \u003cp\u003e12.2.1 Reaction Wheel 332\u003c\/p\u003e \u003cp\u003e12.2.2 Control-Moment Gyro 333\u003c\/p\u003e \u003cp\u003e12.2.3 Variable-Speed Control-Moment Gyro 334\u003c\/p\u003e \u003cp\u003eExercises 335\u003c\/p\u003e \u003cp\u003eReferences 337\u003c\/p\u003e \u003cp\u003e\u003cb\u003eA Numerical Solution of Ordinary Differential Equations 339\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eA.1 Fixed-Step Runge-Kutta Algorithms 339\u003c\/p\u003e \u003cp\u003eA.2 Variable-Step Runge-Kutta Algorithms 340\u003c\/p\u003e \u003cp\u003eA.3 Runge-Kutta-Nyström Algorithms 342\u003c\/p\u003e \u003cp\u003eReferences 343\u003c\/p\u003e \u003cp\u003e\u003cb\u003eB Jacobian Elliptic Functions 345\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003eReference 346\u003c\/p\u003e \u003cp\u003eIndex 347\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eAshish Tewari\u003c\/b\u003e \u003ci\u003eis a Professor in the Department of Aerospace Engineering at IIT Kanpur. He specializes in flight mechanics and control.\u003c\/i\u003e  \u003c\/p\u003e\u003cp\u003e\u003cb\u003eAn introduction to orbital mechanics and spacecraft attitude dynamics\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e\u003ci\u003eFoundations of Space Dynamics\u003c\/i\u003e offers an authoritative text that combines a comprehensive review of both orbital mechanics and dynamics. The author - a noted expert in the field - covers up-to-date topics including: orbital perturbations, Lambert's transfer, formation flying, and gravity-gradient stabilization. The text provides an introduction to space dynamics in its entirety, including important analytical derivations and practical space flight examples.\u003c\/p\u003e \u003cp\u003eWritten in an accessible and concise style, \u003ci\u003eFoundations of Space Dynamics\u003c\/i\u003e highlights analytical development and rigor, rather than numerical solutions via ready-made computer codes. To enhance learning, the book is filled with helpful tables, figures, exercises, and solved examples.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eThis important book:\u003c\/b\u003e\u003c\/p\u003e \u003cul\u003e \u003cli\u003e\u003cb\u003eCovers space dynamics with a systematic and comprehensive approach\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eIs designed to be a practical text filled with real-world examples\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eContains information on the most current applications\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eIncludes up-to-date topics from orbital perturbations to gravity- gradient stabilization\u003c\/b\u003e\u003c\/li\u003e \u003cli\u003e\u003cb\u003eOffers a deep understanding of space dynamics often lacking in other textbooks\u003c\/b\u003e\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eWritten for undergraduate and graduate students and professionals in aerospace engineering, \u003ci\u003eFoundations of Space Dynamics\u003c\/i\u003e offers an introduction to the most current information on orbital mechanics and dynamics.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":47989238857957,"sku":"NP9781119455349","price":84.5,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/1842\/7735\/files\/9781119455349.jpg?v=1761783331","url":"https:\/\/k12savings.com\/products\/foundations-of-space-dynamics-isbn-9781119455349","provider":"K12savings","version":"1.0","type":"link"}