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Author : George William Collins
Publisher :
ISBN 13 :
Total Pages : 166 pages
Book Rating : 4.:/5 (43 download)
Download or read book The Foundations of Celestial Mechanics written by George William Collins and published by . This book was released on 1989 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Elena Bannikova
Publisher : Springer
ISBN 13 : 9783031045752
Total Pages : 0 pages
Book Rating : 4.0/5 (457 download)
Download or read book Foundations of Celestial Mechanics written by Elena Bannikova and published by Springer. This book was released on 2022-09-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to classical celestial mechanics. It is based on lectures delivered by the authors over many years at both Padua University (MC) and V.N. Karazin Kharkiv National University (EB). The book aims to provide a mathematical description of the gravitational interaction of celestial bodies. The approach to the problem is purely formal. It allows the authors to write equations of motion and solve them to the greatest degree possible, either exactly or by approximate techniques, when there is no other way. The results obtained provide predictions that can be compared with the observations. Five chapters are supplemented by appendices that review certain mathematical tools, deepen some questions (so as not to interrupt the logic of the mainframe with heavy technicalities), give some examples, and provide an overview of special functions useful here, as well as in many other fields of physics. The authors also present the original investigation of torus potential. This book is aimed at senior undergraduate students of physics or astrophysics, as well as graduate students undertaking a master’s degree or Ph.D.
Author : J. M. A. Danby
Publisher :
ISBN 13 :
Total Pages : 376 pages
Book Rating : 4.:/5 (45 download)
Download or read book Fundamentals of Celestial Mechanics written by J. M. A. Danby and published by . This book was released on 1962 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. Hestenes
Publisher : Springer Science & Business Media
ISBN 13 : 9400948026
Total Pages : 655 pages
Book Rating : 4.4/5 (9 download)
Download or read book New Foundations for Classical Mechanics written by D. Hestenes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applica tions matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.
Author : D. Hestenes
Publisher : Springer Science & Business Media
ISBN 13 : 0306471221
Total Pages : 716 pages
Book Rating : 4.3/5 (64 download)
Download or read book New Foundations for Classical Mechanics written by D. Hestenes and published by Springer Science & Business Media. This book was released on 2005-12-17 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: (revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applications matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.
Author : Sergei Kopeikin
Publisher : John Wiley & Sons
ISBN 13 : 3527634576
Total Pages : 897 pages
Book Rating : 4.5/5 (276 download)
Download or read book Relativistic Celestial Mechanics of the Solar System written by Sergei Kopeikin and published by John Wiley & Sons. This book was released on 2011-10-25 with total page 897 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative book presents the theoretical development of gravitational physics as it applies to the dynamics of celestial bodies and the analysis of precise astronomical observations. In so doing, it fills the need for a textbook that teaches modern dynamical astronomy with a strong emphasis on the relativistic aspects of the subject produced by the curved geometry of four-dimensional spacetime. The first three chapters review the fundamental principles of celestial mechanics and of special and general relativity. This background material forms the basis for understanding relativistic reference frames, the celestial mechanics of N-body systems, and high-precision astrometry, navigation, and geodesy, which are then treated in the following five chapters. The final chapter provides an overview of the new field of applied relativity, based on recent recommendations from the International Astronomical Union. The book is suitable for teaching advanced undergraduate honors programs and graduate courses, while equally serving as a reference for professional research scientists working in relativity and dynamical astronomy. The authors bring their extensive theoretical and practical experience to the subject. Sergei Kopeikin is a professor at the University of Missouri, while Michael Efroimsky and George Kaplan work at the United States Naval Observatory, one of the world?s premier institutions for expertise in astrometry, celestial mechanics, and timekeeping.
Author : Aurel Wintner
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (16 download)
Download or read book The Analytical Foundations of Celestial Mechanics written by Aurel Wintner and published by . This book was released on 1947 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir I. Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 3540489266
Total Pages : 505 pages
Book Rating : 4.5/5 (44 download)
Download or read book Mathematical Aspects of Classical and Celestial Mechanics written by Vladimir I. Arnold and published by Springer Science & Business Media. This book was released on 2007-07-05 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of the book is to acquaint mathematicians, physicists and engineers with classical mechanics as a whole, in both its traditional and its contemporary aspects. As such, it describes the fundamental principles, problems, and methods of classical mechanics, with the emphasis firmly laid on the working apparatus, rather than the physical foundations or applications. Chapters cover the n-body problem, symmetry groups of mechanical systems and the corresponding conservation laws, the problem of the integrability of the equations of motion, the theory of oscillations and perturbation theory.
Author : Ralph Abraham
Publisher : CRC Press
ISBN 13 : 0429689047
Total Pages : 849 pages
Book Rating : 4.4/5 (296 download)
Download or read book Foundations Of Mechanics written by Ralph Abraham and published by CRC Press. This book was released on 2019-04-24 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Mechanics is a mathematical exposition of classical mechanics with an introduction to the qualitative theory of dynamical systems and applications to the two-body problem and three-body problem.
Author : A. Hagihara
Publisher :
ISBN 13 :
Total Pages : 195 pages
Book Rating : 4.:/5 (399 download)
Download or read book Foundations of celestial mechanics written by A. Hagihara and published by . This book was released on 1947 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Diarmuid Ó'Mathúna
Publisher : Springer Science & Business Media
ISBN 13 : 0817645950
Total Pages : 241 pages
Book Rating : 4.8/5 (176 download)
Download or read book Integrable Systems in Celestial Mechanics written by Diarmuid Ó'Mathúna and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shows that exact solutions to the Kepler (two-body), the Euler (two-fixed center), and the Vinti (earth-satellite) problems can all be put in a form that admits the general representation of the orbits and follows a definite shared pattern Includes a full analysis of the planar Euler problem via a clear generalization of the form of the solution in the Kepler case Original insights that have hithertofore not appeared in book form
Author : Giovanni Gallavotti
Publisher : Springer Science & Business Media
ISBN 13 : 3662046709
Total Pages : 529 pages
Book Rating : 4.6/5 (62 download)
Download or read book Foundations of Fluid Dynamics written by Giovanni Gallavotti and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph on fluid mechanics is not only a superb and unique textbook but also an impressive piece of research. It is the only textbook that fully covers turbulence, all the way from the works of Kolmogorov to modern dynamics.
Author : Florin Diacu
Publisher : Princeton University Press
ISBN 13 : 9780691005454
Total Pages : 258 pages
Book Rating : 4.0/5 (54 download)
Download or read book Celestial Encounters written by Florin Diacu and published by Princeton University Press. This book was released on 1999-03-28 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celestial Encounters traces the history of attempts to solve the problem of celestial mechanics first posited in Isaac Newton's Principia in 1686. More generally, the authors reflect on mathematical creativity and the roles that chance encounters, politics, and circumstance play in it. 23 halftones. 64 line illustrations.
Author : David M. Bressoud
Publisher : Springer Science & Business Media
ISBN 13 : 1461209595
Total Pages : 399 pages
Book Rating : 4.4/5 (612 download)
Download or read book Second Year Calculus written by David M. Bressoud and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second Year Calculus: From Celestial Mechanics to Special Relativity covers multi-variable and vector calculus, emphasizing the historical physical problems which gave rise to the concepts of calculus. The book guides us from the birth of the mechanized view of the world in Isaac Newton's Mathematical Principles of Natural Philosophy in which mathematics becomes the ultimate tool for modelling physical reality, to the dawn of a radically new and often counter-intuitive age in Albert Einstein's Special Theory of Relativity in which it is the mathematical model which suggests new aspects of that reality. The development of this process is discussed from the modern viewpoint of differential forms. Using this concept, the student learns to compute orbits and rocket trajectories, model flows and force fields, and derive the laws of electricity and magnetism. These exercises and observations of mathematical symmetry enable the student to better understand the interaction of physics and mathematics.
Author : Roger R. Bate
Publisher : Courier Corporation
ISBN 13 : 9780486600611
Total Pages : 484 pages
Book Rating : 4.6/5 (6 download)
Download or read book Fundamentals of Astrodynamics written by Roger R. Bate and published by Courier Corporation. This book was released on 1971-01-01 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaching text developed by U.S. Air Force Academy and designed as a first course emphasizes the universal variable formulation. Develops the basic two-body and n-body equations of motion; orbit determination; classical orbital elements, coordinate transformations; differential correction; more. Includes specialized applications to lunar and interplanetary flight, example problems, exercises. 1971 edition.
Author : Dora Musielak
Publisher : Springer Nature
ISBN 13 : 3031123220
Total Pages : 228 pages
Book Rating : 4.0/5 (311 download)
Download or read book Leonhard Euler and the Foundations of Celestial Mechanics written by Dora Musielak and published by Springer Nature. This book was released on 2022-11-01 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: The intention of this book is to shine a bright light on the intellectual context of Euler’s contributions to physics and mathematical astronomy. Leonhard Euler is one of the most important figures in the history of science, a blind genius who introduced mathematical concepts and many analytical tools to help us understand and describe the universe. Euler also made a monumental contribution to astronomy and orbital mechanics, developing what he called astronomia mechanica. Orbital mechanics of artificial satellites and spacecraft is based on Euler’s analysis of astromechanics. However, previous books have often neglected many of his discoveries in this field. For example, orbital mechanics texts refer to the five equilibrium points in the Sun-Earth-Moon system as Lagrange points, failing to credit Euler who first derived the differential equations for the general n-body problem and who discovered the three collinear points in the three-body problem of celestial mechanics. These equilibrium points are essential today in space exploration; the James Webb Space Telescope (successor to the Hubble), for example, now orbits the Sun near L2, one of the collinear points of the Sun-Earth-Moon system, while future missions to study the universe will place observatories in orbit around Sun-Earth and Earth-Moon equilibrium points that should be properly called Euler-Lagrange points. In this book, the author uses Euler’s memoirs, correspondence, and other scholarly sources to explore how he established the mathematical groundwork for the rigorous study of motion in our Solar System. The reader will learn how he studied comets and eclipses, derived planetary orbits, and pioneered the study of planetary perturbations, and how, old and blind, Euler put forward the most advanced lunar theory of his time.
Author : Aurel Frederick Wintner
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 ( download)
Download or read book The Analytical Foundations of Celestial Mechanics written by Aurel Frederick Wintner and published by . This book was released on 1941 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
