Newtonian Dynamics

Author : Richard Fitzpatrick
Publisher : CRC Press
Page : 280 pages
File Size : 48,5 Mb
Release : 2021-12-22
Category : Science
ISBN : 9781000509533

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Newtonian Dynamics by Richard Fitzpatrick Pdf

This textbook provides a comprehensive review of Newtonian dynamics at a level suitable for undergraduate physics students. It demonstrates that Newton’s three laws of motion, combined with a few simple force laws, can not only describe the motions of everyday objects observed on the surface of the Earth, but can also account for the motions of celestial objects seen in the sky. It helps bridge the problematic transition between elementary physics courses and upper-division physics course. The book will start off at a level suitable for undergraduate (freshman) physics students and will very gradually increase, until, towards the end, it will approach (but not quite reach) a level characteristic of a graduate (senior) physics course. Each chapter of the book will end with a large number of numerical and analytical exercises and, in all appropriate cases, the final answers to the exercises will be specified. The large number of exercises will allow students to accurately test their understanding of the material presented in the book, ideal for students who are self-studying or are taking classes remotely. Key features: Provides a brief and accessible introduction to a complex topic. Contains a thorough treatment of the motions of heavenly bodies than conventional elementary mechanics texts. Provides a wealth of end-of-chapter exercises to test understanding.

Author : Joseph O’Leary
Publisher : Springer Nature
Page : 106 pages
File Size : 40,8 Mb
Release : 2021-10-23
Category : Science
ISBN : 9783030801854

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General Relativistic and Post-Newtonian Dynamics for Near-Earth Objects and Solar System Bodies by Joseph O’Leary Pdf

Owing to the increased accuracy requirements in fields such as astrometry and geodesy the general theory of relativity must be taken into account for any mission requiring highly accurate orbit information and for practically all observation and measurement techniques. This book highlights the confluence of Applied Mathematics, Physics and Space Science as seen from Einstein's general theory of relativity and aims to bridge the gap between theoretical and applied domains. The book investigates three distinct areas of general relativity: Exact solutions of the Einstein field equations of gravitation. Dynamics of near-Earth objects and solar system bodies. Relativistic orbitography. This book is an updated and expanded version of the author’s PhD thesis which was awarded the International Astronomical Union PhD prize in Division A: Fundamental Astronomy. Included is a new introduction aimed at graduate students of General Relativity and extended discussions and results on topics in post-Newtonian dynamics and general relativistic spacecraft propagation.

Author : Ralph Baierlein
Publisher : McGraw-Hill Science, Engineering & Mathematics
Page : 344 pages
File Size : 53,5 Mb
Release : 1983
Category : Science
ISBN : UOM:39015015755534

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Newtonian Dynamics by Ralph Baierlein Pdf

Author : J. Bruce Brackenridge
Publisher : Univ of California Press
Page : 316 pages
File Size : 50,6 Mb
Release : 1996-02-29
Category : Science
ISBN : 9780520916852

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The Key to Newton's Dynamics by J. Bruce Brackenridge Pdf

While much has been written on the ramifications of Newton's dynamics, until now the details of Newton's solution were available only to the physics expert. The Key to Newton's Dynamics clearly explains the surprisingly simple analytical structure that underlies the determination of the force necessary to maintain ideal planetary motion. J. Bruce Brackenridge sets the problem in historical and conceptual perspective, showing the physicist's debt to the works of both Descartes and Galileo. He tracks Newton's work on the Kepler problem from its early stages at Cambridge before 1669, through the revival of his interest ten years later, to its fruition in the first three sections of the first edition of the Principia.

Author : Mark D. Ardema
Publisher : Springer Science & Business Media
Page : 325 pages
File Size : 47,5 Mb
Release : 2006-10-28
Category : Technology & Engineering
ISBN : 9780387232768

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Newton-Euler Dynamics by Mark D. Ardema Pdf

Unlike other books on this subject, which tend to concentrate on 2-D dynamics, this text focuses on the application of Newton-Euler methods to complex, real-life 3-D dynamics problems. It is thus ideal for elective courses in intermediate dynamics.

Author : Julian B. Barbour
Publisher : Oxford University Press, USA
Page : 775 pages
File Size : 55,6 Mb
Release : 2001
Category : Astronomy
ISBN : 9780195132021

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The Discovery of Dynamics by Julian B. Barbour Pdf

"Originally published as Absolute or relative motion? volume 1, The discovery of dynamics, Cambridge University Press, 1989".

Author : Ruben Santamaria
Publisher : Springer Nature
Page : 389 pages
File Size : 46,7 Mb
Release : 2024-01-20
Category : Science
ISBN : 9783031370427

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Molecular Dynamics by Ruben Santamaria Pdf

This molecular dynamics textbook takes the reader from classical mechanics to quantum mechanics and vice versa, and from few-body systems to many-body systems. It is self-contained, comprehensive, and builds the theory of molecular dynamics from basic principles to applications, allowing the subject to be appreciated by readers from physics, chemistry, and biology backgrounds while maintaining mathematical rigor. The book is enhanced with illustrations, problems and solutions, and suggested reading, making it ideal for undergraduate and graduate courses or self-study. With coverage of recent developments, the book is essential reading for students who explore and characterize phenomena at the atomic level. It is a useful reference for researchers in physics and chemistry, and can act as an entry point for researchers in nanoscience, materials engineering, genetics, and related fields who are seeking a deeper understanding of nature.

Author : A. J. Roberts
Publisher : SIAM
Page : 760 pages
File Size : 46,7 Mb
Release : 2014-12-18
Category : Mathematics
ISBN : 9781611973556

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Model Emergent Dynamics in Complex Systems by A. J. Roberts Pdf

Arising out of the growing interest in and applications of modern dynamical systems theory, this book explores how to derive relatively simple dynamical equations that model complex physical interactions. The author’s objectives are to use sound theory to explore algebraic techniques, develop interesting applications, and discover general modeling principles. Model Emergent Dynamics in Complex Systems unifies into one powerful and coherent approach the many varied extant methods for mathematical model reduction and approximation. Using mathematical models at various levels of resolution and complexity, the book establishes the relationships between such multiscale models and clarifying difficulties and apparent paradoxes and addresses model reduction for systems, resolves initial conditions, and illuminates control and uncertainty. The basis for the author’s methodology is the theory and the geometric picture of both coordinate transforms and invariant manifolds in dynamical systems; in particular, center and slow manifolds are heavily used. The wonderful aspect of this approach is the range of geometric interpretations of the modeling process that it produces—simple geometric pictures inspire sound methods of analysis and construction. Further, pictures drawn of state spaces also provide a route to better assess a model’s limitations and strengths. Geometry and algebra form a powerful partnership and coordinate transforms and manifolds provide a powerfully enhanced and unified view of a swathe of other complex system modeling methodologies such as averaging, homogenization, multiple scales, singular perturbations, two timing, and WKB theory. Audience Advanced undergraduate and graduate students, engineers, scientists, and other researchers who need to understand systems and modeling at different levels of resolution and complexity will all find this book useful.

Author : Bai-lin Hao
Publisher : World Scientific
Page : 402 pages
File Size : 54,7 Mb
Release : 1987
Category : Science
ISBN : 997150362X

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Directions in Chaos by Bai-lin Hao Pdf

Volume 2 of Directions in Chaos consists of the contributions made to the Beijing Summer School on Chaotic Phenomena in Nonlinear Systems held in August 1987.

Author : Bailin Hao
Publisher : World Scientific
Page : 400 pages
File Size : 55,5 Mb
Release : 1988-04-01
Category : Science
ISBN : 9789814513722

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Directions In Chaos - Volume 2 by Bailin Hao Pdf

Volume 2 of Directions in Chaos consists of the contributions made to the Beijing Summer School on Chaotic Phenomena in Nonlinear Systems held in August 1987.

Author : Lawrence Sklar
Publisher : Cambridge University Press
Page : 283 pages
File Size : 52,7 Mb
Release : 2013
Category : Philosophy
ISBN : 9780521888196

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Philosophy and the Foundations of Dynamics by Lawrence Sklar Pdf

Examines the main theories of dynamics, their original inception and their evolution over time into contemporary foundational theories.

Author : Bhimsen K. Shivamoggi
Publisher : Springer
Page : 396 pages
File Size : 42,5 Mb
Release : 2014-05-14
Category : Technology & Engineering
ISBN : 9789400770942

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Nonlinear Dynamics and Chaotic Phenomena: An Introduction by Bhimsen K. Shivamoggi Pdf

This book starts with a discussion of nonlinear ordinary differential equations, bifurcation theory and Hamiltonian dynamics. It then embarks on a systematic discussion of the traditional topics of modern nonlinear dynamics -- integrable systems, Poincaré maps, chaos, fractals and strange attractors. The Baker’s transformation, the logistic map and Lorenz system are discussed in detail in view of their central place in the subject. There is a detailed discussion of solitons centered around the Korteweg-deVries equation in view of its central place in integrable systems. Then, there is a discussion of the Painlevé property of nonlinear differential equations which seems to provide a test of integrability. Finally, there is a detailed discussion of the application of fractals and multi-fractals to fully-developed turbulence -- a problem whose understanding has been considerably enriched by the application of the concepts and methods of modern nonlinear dynamics. On the application side, there is a special emphasis on some aspects of fluid dynamics and plasma physics reflecting the author’s involvement in these areas of physics. A few exercises have been provided that range from simple applications to occasional considerable extension of the theory. Finally, the list of references given at the end of the book contains primarily books and papers used in developing the lecture material this volume is based on. This book has grown out of the author’s lecture notes for an interdisciplinary graduate-level course on nonlinear dynamics. The basic concepts, language and results of nonlinear dynamical systems are described in a clear and coherent way. In order to allow for an interdisciplinary readership, an informal style has been adopted and the mathematical formalism has been kept to a minimum. This book is addressed to first-year graduate students in applied mathematics, physics, and engineering, and is useful also to any theoretically inclined researcher in the physical sciences and engineering. This second edition constitutes an extensive rewrite of the text involving refinement and enhancement of the clarity and precision, updating and amplification of several sections, addition of new material like theory of nonlinear differential equations, solitons, Lagrangian chaos in fluids, and critical phenomena perspectives on the fluid turbulence problem and many new exercises.

Author : Juha Jeronen,Tero Tuovinen,Matti Kurki
Publisher : Springer Nature
Page : 524 pages
File Size : 51,5 Mb
Release : 2024-01-08
Category : Technology & Engineering
ISBN : 9783031472503

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Fundamental Mathematical Modeling of Additive Manufacturing by Juha Jeronen,Tero Tuovinen,Matti Kurki Pdf

This book elucidates the fundamental thermomechanical behaviour inherent in the 3D printing process within a laser-based powder bed fusion (L-PBF) system. It presents foundational concepts and provides in-depth derivations of the governing equations. The analysis encompasses arbitrary anisotropic linear viscoelastic materials, accounting for thermal effects. The authors leverage the theory of axially moving materials, a framework previously employed in the analysis of production processes within the process industry. They introduce a coordinate frame that moves in tandem with the printing laser, adopting an Eulerian perspective towards the in-motion solid. Designed for graduate students and researchers, this book is poised to foster a profound comprehension and spur innovative technological advancements in the realm of additive manufacturing.

Author : Nathaniel Goldberg,Chris Gavaler
Publisher : Routledge
Page : 185 pages
File Size : 40,9 Mb
Release : 2020-07-01
Category : Philosophy
ISBN : 9781000164114

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Revising Fiction, Fact, and Faith by Nathaniel Goldberg,Chris Gavaler Pdf

This book addresses how our revisionary practices account for relations between texts and how they are read. It offers an overarching philosophy of revision concerning works of fiction, fact, and faith, revealing unexpected insights about the philosophy of language, the metaphysics of fact and fiction, and the history and philosophy of science and religion. Using the novels of J.R.R. Tolkien as exemplars, the authors introduce a fundamental distinction between the purely physical and the linguistic aspects of texts. They then demonstrate how two competing theories of reference—descriptivism and referentialism—are instead constitutive of a single semantic account needed to explain all kinds of revision. The authors also propose their own metaphysical foundations of fiction and fact. The next part of the book brings the authors’ philosophy of revision into dialogue with Thomas Kuhn’s famous analysis of factual, and specifically scientific, change. It also discusses a complex episode in the history of paleontology, demonstrating how scientific and popular texts can diverge over time. Finally, the authors expand their philosophy of revision to religious texts, arguing that, rather than being distinct, such texts are always read as other kinds, that faith tends to be more important as evidence for religious texts than for others, and that the latter explains why religious communities tend to have remarkable historical longevity. Revising Fiction, Fact, and Faith offers a unique and comprehensive account of the philosophy of revision. It will be of interest to a wide range of scholars and advanced students working in philosophy of language, metaphysics, philosophy of literature, literary theory and criticism, and history and philosophy of science and religion.

Author : Archie E. Roy
Publisher : Springer Science & Business Media
Page : 581 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781468459975

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Predictability, Stability, and Chaos in N-Body Dynamical Systems by Archie E. Roy Pdf

The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d'Ampezzo, Italy between August 6 and August 17, 1990 under the title "Predictability, Stability, and Chaos in N-Body Dynamical Systems". The Institute was the latest in a series held at three-yearly inter vals from 1972 to 1987 in dynamical astronomy, theoretical mechanics and celestial mechanics. These previous institutes, held in high esteem by the international community of research workers, have resulted in a series of well-received Proceedings. The 1990 Institute attracted 74 participants from 16 countries, six outside the NATO group. Fifteen series of lectures were given by invited speakers; additionally some 40 valuable presentations were made by the younger participants, most of which are included in these Proceedings. The last twenty years in particular has been a time of increasingly rapid progress in tackling long-standing and also newly-arising problems in dynamics of N-body systems, point-mass and non-point-mass, a rate of progress achieved because of correspondingly rapid developments of new computer hardware and software together with the advent of new analytical techniques. It was a time of exciting progress culminating in the ability to carry out research programmes into the evolution of the outer Solar 8 System over periods of more than 10 years and to study star cluster and galactic models in unprecedented detail.