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Author : Hanspeter Schaub,John L. Junkins
Publisher : AIAA
Page : 744 pages
File Size : 44,9 Mb
Release : 2003
Category : Celestial mechanics
ISBN : 1600860273
Author : Hanspeter Schaub,John L. Junkins
Publisher : AIAA (American Institute of Aeronautics & Astronautics)
Page : 0 pages
File Size : 44,8 Mb
Release : 2009
Category : Celestial mechanics
ISBN : 1600867219
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.
Author : Hanspeter Schaub
Publisher : Unknown
Page : 716 pages
File Size : 47,6 Mb
Release : 2003
Category : Celestial mechanics
ISBN : 1563475634
Author : Hanspeter Schaub,John L. Junkins
Publisher : AIAA (American Institute of Aeronautics & Astronautics)
Page : 0 pages
File Size : 51,6 Mb
Release : 2014
Category : Celestial mechanics
ISBN : 1624102409
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.
Author : Carl S. Helrich
Publisher : Springer
Page : 349 pages
File Size : 55,9 Mb
Release : 2016-10-01
Category : Science
ISBN : 9783319444918
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.
Author : Alex Poznyak
Publisher : Elsevier
Page : 524 pages
File Size : 44,6 Mb
Release : 2021-04-08
Category : Technology & Engineering
ISBN : 9780323898898
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
Author : Vladimir S Aslanov
Publisher : Butterworth-Heinemann
Page : 420 pages
File Size : 40,8 Mb
Release : 2017-04-22
Category : Technology & Engineering
ISBN : 9780081018743
Rigid Body Dynamics for Space Applications explores the modern problems of spaceflight mechanics, such as attitude dynamics of re-entry and space debris in Earth's atmosphere; dynamics and control of coaxial satellite gyrostats; deployment, dynamics, and control of a tether-assisted return mission of a re-entry capsule; and removal of large space debris by a tether tow. Most space systems can be considered as a system of rigid bodies, with additional elastic and viscoelastic elements and fuel residuals in some cases. This guide shows the nature of the phenomena and explains the behavior of space objects. Researchers working on spacecraft attitude dynamics or space debris removal as well as those in the fields of mechanics, aerospace engineering, and aerospace science will benefit from this book. Provides a complete treatise of modeling attitude for a range of novel and modern attitude control problems of spaceflight mechanics Features chapters on the application of rigid body dynamics to atmospheric re-entries, tethered assisted re-entry, and tethered space debris removal Shows relatively simple ways of constructing mathematical models and analytical solutions describing the behavior of very complex material systems Uses modern methods of regular and chaotic dynamics to obtain results
Author : Louis N. Hand,Janet D. Finch
Publisher : Cambridge University Press
Page : 569 pages
File Size : 41,8 Mb
Release : 1998-11-13
Category : Science
ISBN : 9781139643313
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.
Author : Joseph S. Torok
Publisher : John Wiley & Sons
Page : 378 pages
File Size : 47,5 Mb
Release : 1999-11-04
Category : Technology & Engineering
ISBN : 0471332070
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)
Author : Henri Gouin
Publisher : Elsevier
Page : 322 pages
File Size : 54,6 Mb
Release : 2020-11-27
Category : Mathematics
ISBN : 9780128229866
Mathematical Methods of Analytical Mechanics uses tensor geometry and geometry of variation calculation, includes the properties associated with Noether's theorem, and highlights methods of integration, including Jacobi's method, which is deduced. In addition, the book covers the Maupertuis principle that looks at the conservation of energy of material systems and how it leads to quantum mechanics. Finally, the book deduces the various spaces underlying the analytical mechanics which lead to the Poisson algebra and the symplectic geometry. Helps readers understand calculations surrounding the geometry of the tensor and the geometry of the calculation of the variation Presents principles that correspond to the energy conservation of material systems Defines the invariance properties associated with Noether's theorem Discusses phase space and Liouville's theorem Identifies small movements and different types of stabilities
Author : Claudio Pellegrini,Richard K. Cooper
Publisher : Springer Science & Business Media
Page : 344 pages
File Size : 47,7 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9781475758672
By modern analytic mechanics we mean the classical mechanics of today, that is, the mechanics that has proven particularly useful in understanding the universe as we experience it from the solar system, to particle accelerators, to rocket motion. The mathematical and numerical techniques that are part of this mechanics that we present are those that we have found to be particularly productive in our work in the subject. The balance of topics in this book is somewhat different from previous texts. We emphasize the use of phase space to describe the dynamics of a system and to have a qualitative understanding of nonlinear systems. We incorporate exercises that are to be done using a computer to solve linear and nonlinear problems and to have a graphical representation of the results. While analytic solutions of physics problems are to be prefer. red, it is not always possible to find them for all problems. When that happens, techniques other than analysis must be brought to bear on the problem. In many cases numerical treatments are useful in generating solutions, and with these solutions often come new insights. These insights can sometimes be used for making further analytic progress, and often the process is iterative. Thus the ability to use a computer to solve problems is one of the tools of the modern physicist. Just as analytic problem-solving enhances the student's understanding of physics, so will using the computer enhance his or her appreciation of the subject.
Author : A.I. Lurie
Publisher : Springer Science & Business Media
Page : 859 pages
File Size : 44,6 Mb
Release : 2013-03-09
Category : Technology & Engineering
ISBN : 9783540456773
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.
Author : John L. Bohn
Publisher : Cambridge University Press
Page : 219 pages
File Size : 55,8 Mb
Release : 2018-08-30
Category : Science
ISBN : 9781107145764
An accessible guide to analytical mechanics, using intuitive examples to illustrate the underlying mathematics, helping students formulate, solve and interpret problems in mechanics.
Author : Sh.Kh Soltakhanov,Mikhail Yushkov,S. Zegzhda
Publisher : Springer Science & Business Media
Page : 354 pages
File Size : 48,8 Mb
Release : 2009-05-27
Category : Technology & Engineering
ISBN : 9783540858478
A general approach to the derivation of equations of motion of as holonomic, as nonholonomic systems with the constraints of any order is suggested. The system of equations of motion in the generalized coordinates is regarded as a one vector relation, represented in a space tangential to a manifold of all possible positions of system at given instant. The tangential space is partitioned by the equations of constraints into two orthogonal subspaces. In one of them for the constraints up to the second order, the motion low is given by the equations of constraints and in the other one for ideal constraints, it is described by the vector equation without reactions of connections. In the whole space the motion low involves Lagrangian multipliers. It is shown that for the holonomic and nonholonomic constraints up to the second order, these multipliers can be found as the function of time, positions of system, and its velocities. The application of Lagrangian multipliers for holonomic systems permits us to construct a new method for determining the eigenfrequencies and eigenforms of oscillations of elastic systems and also to suggest a special form of equations for describing the system of motion of rigid bodies. The nonholonomic constraints, the order of which is greater than two, are regarded as programming constraints such that their validity is provided due to the existence of generalized control forces, which are determined as the functions of time. The closed system of differential equations, which makes it possible to find as these control forces, as the generalized Lagrange coordinates, is compound. The theory suggested is illustrated by the examples of a spacecraft motion. The book is primarily addressed to specialists in analytic mechanics.
Author : Howard D Curtis
Publisher : Elsevier
Page : 744 pages
File Size : 45,9 Mb
Release : 2009-10-26
Category : Technology & Engineering
ISBN : 9780080887845
Orbital Mechanics for Engineering Students, Second Edition, provides an introduction to the basic concepts of space mechanics. These include vector kinematics in three dimensions; Newton’s laws of motion and gravitation; relative motion; the vector-based solution of the classical two-body problem; derivation of Kepler’s equations; orbits in three dimensions; preliminary orbit determination; and orbital maneuvers. The book also covers relative motion and the two-impulse rendezvous problem; interplanetary mission design using patched conics; rigid-body dynamics used to characterize the attitude of a space vehicle; satellite attitude dynamics; and the characteristics and design of multi-stage launch vehicles. Each chapter begins with an outline of key concepts and concludes with problems that are based on the material covered. This text is written for undergraduates who are studying orbital mechanics for the first time and have completed courses in physics, dynamics, and mathematics, including differential equations and applied linear algebra. Graduate students, researchers, and experienced practitioners will also find useful review materials in the book. NEW: Reorganized and improved discusions of coordinate systems, new discussion on perturbations and quarternions NEW: Increased coverage of attitude dynamics, including new Matlab algorithms and examples in chapter 10 New examples and homework problems