Analytical Mechanics Of Space Systems
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Analytical Mechanics Of Space Systems
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Author : Hanspeter Schaub
language : en
Publisher: AIAA (American Institute of Aeronautics & Astronautics)
Release Date : 2014
Analytical Mechanics Of Space Systems written by Hanspeter Schaub and has been published by AIAA (American Institute of Aeronautics & Astronautics) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Celestial mechanics categories.
The Analytical Mechanics of Space Systems, Third Edition provides comprehensive treatment of the dynamics of space systems, starting with the fundamentals and covering topics from basic kinematics and dynamics to more advanced celestial mechanics. Taking a tutorial approach, the text guides the reader through the various derivations and proofs to explain the principles underlying the equations at issue and shows how to apply them to various dynamical systems. Part I covers analytical treatment of basic dynamic principles through advanced energy concepts, including 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®, Python, and C-Code toolboxes arc provided for rigid body kinematics routines and basic two-body orbital mechanics routines. Topics Discussed, The third edition streamlines presentation by including additional examples, homework problems, and illustrations. It includes expanded discussion on, Numerically integrating MRPs and using heading measurements and evaluating a three-dimensional orientation, Numerically integrating the complex VSCMG differential equations of motion The Lyapunov function and stability definitions, Implementing a rate-based attitude servo control solution, and integrating an integral feedback component with a reaction-wheel-based attitude control, featuring new examples, Developing acceleration-based VSCMG steering laws for three-axis attitude control developments, New Appendix I describes how to implement Kalman filter estimating MRP coordinates in a nonsingular fashion Book jacket.
Analytical Mechanics Of Space Systems
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Author : Hanspeter Schaub
language : en
Publisher: AIAA
Release Date : 2003
Analytical Mechanics Of Space Systems written by Hanspeter Schaub and has been published by AIAA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Celestial mechanics categories.
Analytical Mechanics
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Author : Joseph S. Torok
language : en
Publisher: John Wiley & Sons
Release Date : 1999-11-04
Analytical Mechanics written by Joseph S. Torok and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11-04 with Technology & Engineering categories.
Literatur zur analytischen Mechanik enthalt meist nur die klassische Theorie, an der sich seit Jahren nichts geandert hat. Dieses Buch fullt eine Lucke, indem es rund 250 neue Beispiele und rund 400 neue Aufgaben bietet sowie nun auch computergestutzte Rechenmethoden behandelt. Mathematische Theorie und ingenieurtechnische Anwendungen stehen dabei stets in einem ausgewogenen Verhaltnis zueinander. Mit vielen anschaulichen Abbildungen! (11/99)
Analytical Mechanics
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Author : A.I. Lurie
language : en
Publisher: Springer
Release Date : 2014-12-04
Analytical Mechanics written by A.I. Lurie and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-04 with Technology & Engineering categories.
This is a translation of A.I. Lurie’s classical Russian textbook on analytical mechanics. It offers a consummate exposition of the subject of analytical mechanics through a deep analysis of its most fundamental concepts. The book has served as a desk text for at least two generations of researchers working in those fields where the Soviet Union accomplished the greatest technological breakthrough of the 20th century - a race into space. Those and other related fields continue to be intensively explored since then, and the book clearly demonstrates how the fundamental concepts of mechanics work in the context of up-to-date engineering problems.
Analytical Mechanics
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Author : Carl S. Helrich
language : en
Publisher: Springer
Release Date : 2016-10-01
Analytical Mechanics written by Carl S. Helrich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-01 with Science categories.
This advanced undergraduate textbook begins with the Lagrangian formulation of Analytical Mechanics and then passes directly to the Hamiltonian formulation and the canonical equations, with constraints incorporated through Lagrange multipliers. Hamilton's Principle and the canonical equations remain the basis of the remainder of the text. Topics considered for applications include small oscillations, motion in electric and magnetic fields, and rigid body dynamics. The Hamilton-Jacobi approach is developed with special attention to the canonical transformation in order to provide a smooth and logical transition into the study of complex and chaotic systems. Finally the text has a careful treatment of relativistic mechanics and the requirement of Lorentz invariance. The text is enriched with an outline of the history of mechanics, which particularly outlines the importance of the work of Euler, Lagrange, Hamilton and Jacobi. Numerous exercises with solutions support the exceptionally clear and concise treatment of Analytical Mechanics.
Analytical Mechanics
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Author : Louis N. Hand
language : en
Publisher: Cambridge University Press
Release Date : 1998-11-13
Analytical Mechanics written by Louis N. Hand and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-13 with Science categories.
Analytical Mechanics, first published in 1999, provides a detailed introduction to the key analytical techniques of classical mechanics, one of the cornerstones of physics. It deals with all the important subjects encountered in an undergraduate course and prepares the reader thoroughly for further study at graduate level. The authors set out the fundamentals of Lagrangian and Hamiltonian mechanics early on in the book and go on to cover such topics as linear oscillators, planetary orbits, rigid-body motion, small vibrations, nonlinear dynamics, chaos, and special relativity. A special feature is the inclusion of many 'e-mail questions', which are intended to facilitate dialogue between the student and instructor. Many worked examples are given, and there are 250 homework exercises to help students gain confidence and proficiency in problem-solving. It is an ideal textbook for undergraduate courses in classical mechanics, and provides a sound foundation for graduate study.
Analytical Mechanics
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Author : Ioan Merches
language : en
Publisher: CRC Press
Release Date : 2014-08-26
Analytical Mechanics written by Ioan Merches and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-26 with Science categories.
Giving students a thorough grounding in basic problems and their solutions, Analytical Mechanics: Solutions to Problems in Classical Physics presents a short theoretical description of the principles and methods of analytical mechanics, followed by solved problems. The authors thoroughly discuss solutions to the problems by taking a comprehensive approach to explore the methods of investigation. They carefully perform the calculations step by step, graphically displaying some solutions via Mathematica® 4.0. This collection of solved problems gives students experience in applying theory (Lagrangian and Hamiltonian formalisms for discrete and continuous systems, Hamilton-Jacobi method, variational calculus, theory of stability, and more) to problems in classical physics. The authors develop some theoretical subjects, so that students can follow solutions to the problems without appealing to other reference sources. This has been done for both discrete and continuous physical systems or, in analytical terms, systems with finite and infinite degrees of freedom. The authors also highlight the basics of vector algebra and vector analysis, in Appendix B. They thoroughly develop and discuss notions like gradient, divergence, curl, and tensor, together with their physical applications. There are many excellent textbooks dedicated to applied analytical mechanics for both students and their instructors, but this one takes an unusual approach, with a thorough analysis of solutions to the problems and an appropriate choice of applications in various branches of physics. It lays out the similarities and differences between various analytical approaches, and their specific efficiency.
Classical And Analytical Mechanics
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Author : Alex Poznyak
language : en
Publisher: Elsevier
Release Date : 2021-04-08
Classical And Analytical Mechanics written by Alex Poznyak and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-08 with Technology & Engineering categories.
Classical and Analytical Mechanics: Theory, Applied Examples, and Practice provides a bridge between the theory and practice related to mechanical, electrical, and electromechanical systems. It includes rigorous mathematical and physical explanations while maintaining an interdisciplinary engineering focus. Applied problems and exercises in mechanical, mechatronic, aerospace, electrical, and control engineering are included throughout and the book provides detailed techniques for designing models of different robotic, electrical, defense, and aerospace systems. The book starts with multiple chapters covering kinematics before moving onto coverage of dynamics and non-inertial and variable mass systems. Euler’s dynamic equations and dynamic Lagrange equations are covered next with subsequent chapters discussing topics such as equilibrium and stability, oscillation analysis, linear systems, Hamiltonian formalism, and the Hamilton-Jacobi equation. The book concludes with a chapter outlining various electromechanical models that readers can implement and adapt themselves. Bridges theory and practice by providing readers techniques for solving common problems through mechanical, electrical, and electromechanical models alongside the underlying theoretical foundations Describes variable mass, non-inertial systems, dynamic Euler’s equations, gyroscopes, and other related topics Includes a broad offering of practical examples, problems, and exercises across an array of engineering disciplines
Analytical Dynamics
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Author : Firdaus E. Udwadia
language : en
Publisher: Cambridge University Press
Release Date : 1996-02-23
Analytical Dynamics written by Firdaus E. Udwadia and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-02-23 with Science categories.
Constrained motion is of paramount importance in the design and analysis of mechanical systems and central to the study of analytical dynamics. The problem of constrained motion was first posed over two hundred years ago, and it has been worked on vigorously ever since. This book offers a fresh approach to the subject. Eminently readable, it is written as an introduction to analytical dynamics, with emphasis on fundamental concepts in mechanics. The connection between generalized inverses of matrices and constrained motion is a central theme. The book begins with a description of the motion of a particle subjected to holonomic and nonholonomic constraints and presents explicit equations of motion. Examples are provided throughout the book, and carefully formulated problems at the end of each chapter reinforce the material covered. This computationally appealing approach will be useful to students in engineering and the applied sciences.
Methods Of Analytical Dynamics
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Author : Leonard Meirovitch
language : en
Publisher: McGraw-Hill Companies
Release Date : 1970
Methods Of Analytical Dynamics written by Leonard Meirovitch and has been published by McGraw-Hill Companies this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Science categories.
A balanced presentation that encompasses both formalism and structure in analytical dynamics, this text also addresses solution methods. Its remarkably broad and comprehensive exploration of the subject employs an approach as natural as it is logical. In addition to material usually covered in graduate courses in dynamics and nonlinear mechanics, Methods of Analytical Dynamics presents selected modern applications. Contents include discussions of fundamentals of Newtonian and analytical mechanics, motion relative to rotating reference frames, rigid body dynamics, behavior of dynamical systems, geometric theory, stability of multi-degree-of-freedom autonomous and nonautonomous systems, and analytical solutions by perturbation techniques. Later chapters cover transformation theory, the Hamilton-Jacobi equation, theory and applications of the gyroscope, and problems in celestial mechanics and spacecraft dynamics. Two helpful appendixes offer additional information on dyadics and elements of topology and modern analysis. Book jacket.