مکانیک تحلیلی سیستم‌های فضایی، ویرایش دوم

This book provides a comprehensive treatment of dynamics of space systems, starting with the fundamentals and covering topics from basic kinematics and dynamics to more advanced celestial mechanics. All material is presented in a consistent manner, and the reader is guided through the various derivations and proofs in a tutorial way. Cookbook formulas are avoided; instead, the reader is led to understand the principles underlying the equations at issue, and shown how to apply them to various dynamical systems. The book is divided into two parts. Part I covers analytical treatment of topics such as basic dynamic principles up to advanced energy concepts. Special attention is paid to the use of rotating reference frames that often occur in aerospace systems. Part II covers basic celestial mechanics, treating the two-body problem, restricted three-body problem, gravity field modeling, perturbation methods, spacecraft formation flying, and orbit transfers. MATLAB[registered], Mathematica[registered] and C-Code toolboxes are provided for the rigid body kinematics routines discussed in chapter 3, and the basic orbital 2-body orbital mechanics routines discussed in chapter 9. A solutions manual is also available for professors. MATLAB[registered] is a registered trademark of The Math Works, Inc.; Mathematica[registered] is a registered trademark of Wolfram Research, Inc. Cover ......Page 1 Title ......Page 4 Foreword......Page 10 Table of Contents......Page 12 Preface ......Page 18 Part 1: Basic Mechanics......Page 24 1. Particle Kinematics......Page 26 2. Newtonian Mechanics......Page 54 3. Rigid Body Kinematics......Page 102 4. Eulerian Mechanics......Page 166 5. Generalized Methods of Analytical Dynamics......Page 230 6. Variational Methods in Analytical Dynamics......Page 312 7. Hamilton’s Generalized Formulations ofAnalytical Dynamics......Page 344 8. Nonlinear Spacecraft Stability and Control......Page 374 Part 2: Celestial Mechanics......Page 460 9. Classical Two-Body Problem......Page 462 10. Restricted Three-Body Problem......Page 516 11. Gravitational Potential Field Models......Page 560 12. Perturbation Methods......Page 584 13. Transfer Orbits......Page 640 14. Spacecraft Formation Flying......Page 696 Appendix A: Transport Theorem DerivationUsing Linear Algebra......Page 778 Appendix B: Various Euler Angle Transformations......Page 782 Appendix C: MRP Identity Proof......Page 786 Appendix D: Conic Section Transformations......Page 788 Appendix E: Numerical Subroutines Library......Page 792 Appendix F: First-Order Mapping Between Mean andOsculating Orbit Elements......Page 798 Appendix G: Direct Linear Mapping BetweenCartesian Hill Frame Coordinatesand Orbit Element Differences......Page 802 Appendix H: Hamel Coefficients for theRotational Motion of aRigid Body......Page 804 Index......Page 812 Supporting Materials......Page 818 "This book provides a comprehensive treatment of dynamics of space systems, starting with the fundamentals and covering topics from basic kinematics and dynamics to more advanced celestial mechanics. All material is presented in a consistent manner, and the reader is guided through the various derivations and proofs in a tutorial way. Cookbook formulas are avoided; instead, the reader is led to understand the principles underlying the equations at issue, and shown how to apply them to various dynamical systems. The book is divided into two parts. Part I covers analytical treatment of topics such as basic dynamic principles up to advanced energy concepts. Special attention is paid to the use of rotating reference frames that often occur in aerospace systems. Part II covers basic celestial mechanics, treating the two-body problem, restricted three-body problem, gravity field modeling, perturbation methods, spacecraft formation flying, and orbit transfers. MATLAB®, Mathematica® and C-Code toolboxes are provided for the rigid body kinematics routines discussed in chapter 3, and the basic orbital 2-body orbital mechanics routines discussed in chapter 9. A solutions manual is also available for professors. MATLAB® is a registered trademark of The MathWorks, Inc.; Mathematica® is a registered trademark of Wolfram Research, Inc."--Publisher's website Particle Kinematics -- Newtonian Mechanics -- Rigid Body Kinematics -- Eulerian Mechanics -- Generalized Methods Of Analytical Dynamics -- Variational Methods In Analytical Dynamics -- Hamilton's Generalized Formulations Of Analytical Dynamics -- Nonlinear Spacecraft Stability And Control -- Classical Two-body Problem -- Restricted Three-body Problem -- Gravitational Potential Field Models -- Perturbation Methods -- Transfer Orbits -- Spacecraft Formation Flying -- Appendix A. Transport Theorem Derivation Using Linear Algebra -- Appendix B. Various Euler Angle Transformations -- Appendix C. Mrp Identity Proof -- Appendix D. Conic Section Transformations -- Appendix E. Numerical Subroutines Library -- Appendix F. First-order Mapping Between Mean And Osculating Orbit Elements -- Appendix G. Direct Linear Mapping Between Cartesian Hill Frame Coordinates And Orbit Element Differences -- Appendix H. Hamel Coefficients For The Rotational Motion Of A Rigid Body. Hanspeter Schaub, John L. Junkins. Includes Bibliographical References And Index.