Classical Newtonian Gravity

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Classical Newtonian Gravity

Author : Roberto A. Capuzzo Dolcetta
Publisher :
ISBN 13 : 9783030258474
Total Pages : 176 pages
Book Rating : 4.2/5 (584 download)

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Book Synopsis Classical Newtonian Gravity by : Roberto A. Capuzzo Dolcetta

Download or read book Classical Newtonian Gravity written by Roberto A. Capuzzo Dolcetta and published by . This book was released on 2019 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a readily comprehensible introduction to classical Newtonian gravitation, which is fundamental for an understanding of classical mechanics and is particularly relevant to Astrophysics. The opening chapter recalls essential elements of vectorial calculus, especially to provide the formalism used in subsequent chapters. In chapter two Classical Newtonian gravity theory for one point mass and for a generic number N of point masses is then presented and discussed. The theory for point masses is naturally extended to the continuous case. The third chapter addresses the paradigmatic case of spherical symmetry in the mass density distribution (central force), with introduction of the useful tool of qualitative treatment of motion. Subsequent chapters discuss the general case of non-symmetric mass density distribution and develop classical potential theory, with elements of harmonic theory, which is essential to understand the potential development in series of the gravitational potential, the subject of the fourth chapter. Finally, in the last chapter the specific case of motion of a satellite around the earth is considered. Examples and exercises are presented throughout the book to clarify aspects of the theory. The book is aimed at those who wish to progress further beyond an initial bachelor degree, onward to a master degree, and a PhD. It is also a valuable resource for postgraduates and active researchers in the field.

Classical Newtonian Gravity

Author : Roberto A. Capuzzo Dolcetta
Publisher : Springer Nature
ISBN 13 : 3030258467
Total Pages : 176 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Classical Newtonian Gravity by : Roberto A. Capuzzo Dolcetta

Download or read book Classical Newtonian Gravity written by Roberto A. Capuzzo Dolcetta and published by Springer Nature. This book was released on 2019-09-23 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a readily comprehensible introduction to classical Newtonian gravitation, which is fundamental for an understanding of classical mechanics and is particularly relevant to Astrophysics. The opening chapter recalls essential elements of vectorial calculus, especially to provide the formalism used in subsequent chapters. In chapter two Classical Newtonian gravity theory for one point mass and for a generic number N of point masses is then presented and discussed. The theory for point masses is naturally extended to the continuous case. The third chapter addresses the paradigmatic case of spherical symmetry in the mass density distribution (central force), with introduction of the useful tool of qualitative treatment of motion. Subsequent chapters discuss the general case of non-symmetric mass density distribution and develop classical potential theory, with elements of harmonic theory, which is essential to understand the potential development in series of the gravitational potential, the subject of the fourth chapter. Finally, in the last chapter the specific case of motion of a satellite around the earth is considered. Examples and exercises are presented throughout the book to clarify aspects of the theory. The book is aimed at those who wish to progress further beyond an initial bachelor degree, onward to a master degree, and a PhD. It is also a valuable resource for postgraduates and active researchers in the field.

Gravity

Author : Eric Poisson
Publisher : Cambridge University Press
ISBN 13 : 1107032865
Total Pages : 795 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Gravity by : Eric Poisson

Download or read book Gravity written by Eric Poisson and published by Cambridge University Press. This book was released on 2014-05-29 with total page 795 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique graduate textbook that develops powerful approximation methods and their applications to real-life astrophysical systems.

The Search for Non-Newtonian Gravity

Author : Ephraim Fischbach
Publisher : Springer Science & Business Media
ISBN 13 : 1461214386
Total Pages : 313 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis The Search for Non-Newtonian Gravity by : Ephraim Fischbach

Download or read book The Search for Non-Newtonian Gravity written by Ephraim Fischbach and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: A history of the attempts to test the predictions of Newtonian Gravity, describing in detail recent experimental efforts to verify both the inverse-square law and the Equivalence Principle. Interest in these questions has increased in recent years, as it has become recognised that deviations from Newtonian gravity could be a signal for a new fundamental force in nature. This is the first book devoted entirely to this subject, and will thus be useful to both graduate students and researchers interested in this field. It describes the ideas that underlie searches for such deviations, focusing on macroscopic tests. A comprehensive bibliography of some 450 entries supplements the text.

Classical Mechanics, Volume 4

Author : Gregory A DiLisi
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1643273027
Total Pages : 77 pages
Book Rating : 4.6/5 (432 download)

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Book Synopsis Classical Mechanics, Volume 4 by : Gregory A DiLisi

Download or read book Classical Mechanics, Volume 4 written by Gregory A DiLisi and published by Morgan & Claypool Publishers. This book was released on 2019-09-04 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical Mechanics teaches readers how to solve physics problems; in other words, how to put math and physics together to obtain a numerical or algebraic result and then interpret these results physically. These skills are important and will be needed in more advanced science and engineering courses. However, more important than developing problem-solving skills and physical-interpretation skills, the main purpose of this multi-volume series is to survey the basic concepts of classical mechanics and to provide the reader with a solid understanding of the foundational content knowledge of classical mechanics. Classical Mechanics: The Universal Law of Gravitation focuses on the notion that forces act through their associated fields, which is first introduced when discussing Newton's universal law of gravitation. A huge conceptual leap is required from the reader: an object can cause another object to move without even touching it. This is a difficult concept to reconcile with our everyday experiences but it makes perfect sense when we realize that is exactly how the Earth acts on us. Gravity is able to pull on us even though we are not in direct contact with the Earth. Also, the concept of super-position (and when it is applicable) is introduced. Super-position is crucial to the development of problem-solving skills so it will be illustrated in a number of example problems.

Objects in Motion

Author : Paul Fleisher
Publisher : Twenty-First Century Books
ISBN 13 : 9780822529859
Total Pages : 88 pages
Book Rating : 4.5/5 (298 download)

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Book Synopsis Objects in Motion by : Paul Fleisher

Download or read book Objects in Motion written by Paul Fleisher and published by Twenty-First Century Books. This book was released on 2001-01-01 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explains the physics of gravity and gravitational pull, offering information on the contributions made in this area by Copernicus, Galileo, and Newton.

Newton's Gravity

Author : Douglas W. MacDougal
Publisher : Springer Science & Business Media
ISBN 13 : 1461454441
Total Pages : 442 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Newton's Gravity by : Douglas W. MacDougal

Download or read book Newton's Gravity written by Douglas W. MacDougal and published by Springer Science & Business Media. This book was released on 2012-12-16 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Newton’s Gravity” conveys the power of simple mathematics to tell the fundamental truth about nature. Many people, for example, know the tides are caused by the pull of the Moon and to a lesser extent the Sun. But very few can explain exactly how and why that happens. Fewer still can calculate the actual pulls of the Moon and Sun on the oceans. This book shows in clear detail how to do this with simple tools. It uniquely crosses disciplines – history, astronomy, physics and mathematics – and takes pains to explain things frequently passed over or taken for granted in other books. Using a problem-based approach, “Newton’s Gravity” explores the surprisingly basic mathematics behind gravity, the most fundamental force that governs the movements of satellites, planets, and the stars. Author Douglas W. MacDougal uses actual problems from the history of astronomy, as well as original examples, to deepen understanding of how discoveries were made and what they mean. “Newton’s Gravity” concentrates strongly on the development of the science of orbital motion, beginning with Galileo, Kepler, and Newton, each of whom is prominently represented. Quotes and problems from Galileo’s Dialogs Concerning Two New Sciences and particularly Newton’s Principia help the reader get inside the mind of those thinkers and see the problems as they saw them, and experience their concise and typically eloquent writing. This book enables students and curious minds to explore the mysteries of celestial motion without having to know advanced mathematics. It will whet the reader’s curiosity to explore further and provide him or her the tools (mathematical or physical) to do so.

Classical Mechanics

Author : Martin W. McCall
Publisher : John Wiley & Sons
ISBN 13 : 047071574X
Total Pages : 256 pages
Book Rating : 4.4/5 (77 download)

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Book Synopsis Classical Mechanics by : Martin W. McCall

Download or read book Classical Mechanics written by Martin W. McCall and published by John Wiley & Sons. This book was released on 2010-10-11 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition of Classical Mechanics, aimed at undergraduate physics and engineering students, presents ina user-friendly style an authoritative approach to the complementary subjects of classical mechanics and relativity. The text starts with a careful look at Newton's Laws, before applying them in one dimension to oscillations and collisions. More advanced applications - including gravitational orbits and rigid body dynamics - are discussed after the limitations of Newton's inertial frames have been highlighted through an exposition of Einstein's Special Relativity. Examples given throughout are often unusual for an elementary text, but are made accessible to the reader through discussion and diagrams. Updates and additions for this new edition include: New vector notation in Chapter 1 An enhanced discussion of equilibria in Chapter 2 A new section on a body falling a large distance towards a gravitational source in Chapter 2 New sections in Chapter 8 on general rotation about a fixed principal axes, simple examples of principal axes and principal moments of inertia and kinetic energy of a body rotating about a fixed axis New sections in chapter 9: Foucault pendulum and free rotation of a rigid body; the latter including the famous tennis racquet theorem Enhanced chapter summaries at the end of each chapter Novel problems with numerical answers A solutions manual is available at: www.wiley.com/go/mccall

The Method of Fluxions and Infinite Series

Author : Isaac Newton
Publisher :
ISBN 13 :
Total Pages : 378 pages
Book Rating : 4.:/5 (19 download)

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Book Synopsis The Method of Fluxions and Infinite Series by : Isaac Newton

Download or read book The Method of Fluxions and Infinite Series written by Isaac Newton and published by . This book was released on 1736 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World

Author : Sir Isaac Newton
Publisher : Univ of California Press
ISBN 13 : 0520321723
Total Pages : 714 pages
Book Rating : 4.5/5 (23 download)

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Book Synopsis Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World by : Sir Isaac Newton

Download or read book Sir Isaac Newton's Mathematical Principles of Natural Philosophy and His System of the World written by Sir Isaac Newton and published by Univ of California Press. This book was released on 2023-11-15 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1934.

From Newton to Einstein

Author : F Todd Baker
Publisher : Morgan & Claypool Publishers
ISBN 13 : 162705720X
Total Pages : 123 pages
Book Rating : 4.6/5 (27 download)

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Book Synopsis From Newton to Einstein by : F Todd Baker

Download or read book From Newton to Einstein written by F Todd Baker and published by Morgan & Claypool Publishers. This book was released on 2014-12-01 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Newton to Einstein is a book devoted to classical mechanics. "Classical" here includes the theory of special relativity as well because, as argued in the book, it is essentially Newtonian mechanics extended to very high speeds. This information is expanded from the author's popular Q&A website, a site aimed primarily at general readers who are curious about how physics explains the workings of the world. Hence, the answers emphasize concepts over formalism, and the mathematics is kept to a minimum. Students new to physics will find discussion and quantitative calculations for areas often neglected in introductory courses (e.g. air drag and non-inertial frames). The author gives us a more intuitive approach to special relativity than normally taught in introductory courses. One chapter discusses general relativity in a completely non-mathematical way emphasizing the equivalence principle and the generalized principle of relativity; the examples in this chapter can offer a new slant on applications of classical mechanics. Another chapter is devoted to the physics of computer games, sci-fi, superheros, and super weapons for those interested in the intersection of popular culture and science. Professional scientists will find topics that they may find amusing and, in some cases, everyday applications that they had not thought of. Brief tutorials are given for essential concepts (e.g. Newton's laws) and appendices give technical details for the interested reader.

Newtonian Mechanics

Author : George A. Duckett
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781533419088
Total Pages : 270 pages
Book Rating : 4.4/5 (19 download)

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Book Synopsis Newtonian Mechanics by : George A. Duckett

Download or read book Newtonian Mechanics written by George A. Duckett and published by Createspace Independent Publishing Platform. This book was released on 2016-05-24 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: If you have a question about Newtonian Mechanics this is the book with the answers. Newtonian Mechanics: Questions and Answers takes some of the best questions and answers asked on the physics.stackexchange.com website. You can use this book to look up commonly asked questions, browse questions on a particular topic, compare answers to common topics, check out the original source and much more. This book has been designed to be very easy to use, with many internal references set up that makes browsing in many different ways possible. Topics covered include: Newtonian Gravity, Forces, Homework And Exercises, Orbital Motion, Classical Mechanics, Rotational Dynamics, Conservation Laws, Projectile, Momentum, Energy, Drag, Energy Conservation, Acceleration, Friction, Kinematics, Angular Momentum, Work, Reference Frames and many more."

Classical Mechanics And Relativity (Second Edition)

Author : Harald J W Muller-kirsten
Publisher : World Scientific
ISBN 13 : 9811287139
Total Pages : 588 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Classical Mechanics And Relativity (Second Edition) by : Harald J W Muller-kirsten

Download or read book Classical Mechanics And Relativity (Second Edition) written by Harald J W Muller-kirsten and published by World Scientific. This book was released on 2024-01-30 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: The text covers the entire domain of basic classical mechanics and relativity theory (special and general) and has been revised mainly for the purpose of adding exercises without worked solutions that were missing in the first edition. To retain the format of a readable, yet advanced introductory text that can serve as the companion text for a course in mechanics, the more than 100 new exercises on diverse topics are of moderate range; answers are given and occasionally hints are provided. As before, the text aims to cover the entire spectrum of theoretical mechanics from Newton to Einstein. The reader can observe how in the course of time, deeper and deeper insights were achieved with the development of the basic equations of Newton to those of Euler and Lagrange, and to the geodesic equations of space-time and Einstein's relativity. To include diverse problems, a small section on this topic has been added.

An Introduction to Gravity

Author : Joel Franklin
Publisher : Cambridge University Press
ISBN 13 : 1009389734
Total Pages : 340 pages
Book Rating : 4.0/5 (93 download)

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Book Synopsis An Introduction to Gravity by : Joel Franklin

Download or read book An Introduction to Gravity written by Joel Franklin and published by Cambridge University Press. This book was released on 2024-04-11 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Einstein's theory of gravity can be difficult to introduce at the undergraduate level, or for self-study. One way to ease its introduction is to construct intermediate theories between the previous successful theory of gravity, Newton's, and our modern theory, Einstein's general relativity. This textbook bridges the gap by merging Newtonian gravity and special relativity (by analogy with electricity and magnetism), a process that both builds intuition about general relativity, and indicates why it has the form that it does. This approach is used to motivate the structure of the full theory, as a nonlinear field equation governing a second rank tensor with geometric interpretation, and to understand its predictions by comparing it with the, often qualitatively correct, predictions of intermediate theories between Newton's and Einstein's. Suitable for a one-semester course at junior or senior level, this student-friendly approach builds on familiar undergraduate physics to illuminate the structure of general relativity.

Introduction to Classical Mechanics

Author : Jain, Pushpendra K.
Publisher : Mkuki na Nyota Publishers
ISBN 13 : 9987083706
Total Pages : 362 pages
Book Rating : 4.9/5 (87 download)

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Book Synopsis Introduction to Classical Mechanics by : Jain, Pushpendra K.

Download or read book Introduction to Classical Mechanics written by Jain, Pushpendra K. and published by Mkuki na Nyota Publishers. This book was released on 2019-05-22 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces Tanzanian students to the fascinating world of Mechanics - the science of motion and equilibrium. Concepts of mechanics namely vector and scalar quantities, forces, the laws of motion, work, energy, the conservation laws, gravitation, circular, orbital and oscillatory motions cut across not only most branches of physics such as electromagnetism, atomic, molecular, nuclear, astro and space physics, but are also applied to most branches of engineering and technology. This makes mechanics an important component of physics which students must master well at an early stage before branching to various career options. That is why undergraduate programs in sciences at most universities offer mandatory courses on basic mechanics within the ﬁrst year of study. This book meets the needs of students and academics at the entry level courses. This book covers three crucial subareas of mechanics namely Kinematics, Newtonian mechanics and Lagrangian mechanics. Chapter 1 covers introductory aspects. Kinematics is discussed in chapter 2. Newton's laws of motion are introduced in chapter 3. Chapter 4 deals with the conservation of linear momentum. Work, energy and power are covered in chapter 5. Circular motion, Gravitation and planetary motion, and oscillations are covered in chapters 6, 7 and 8 respectively. Chapter 9 presents the aspects of rigid body dynamics, and Lagrangian mechanics is introduced in chapter 10, which lays a foundation for advanced courses in mechanics. The language of physics is universal, and the book is suited to students globally. However, the book recognises and addresses the speciﬁc needs of students in African Universities. There is a marked heterogeneity in the background of students ranging from those who are well prepared to those who are not so well prepared. The book meets the needs of all students. It presents detailed explanations of difﬁcult-to-grasp topics with the help of simple but clearly drawn and labeled diagrams. The discussions and conclusions are presented point-wise, and key words, deﬁnitions, laws, etc., are highlighted. A unique feature of the book is a number of ‘Recipes’ which give students tailor made guidance to problems solving. Application of the recipe is illustrated by a solved example, followed by a similar exercise for students to practice. There are a large number of problems and exercises at the end of each chapter to further sharpen their skills.

Topics in the Foundations of General Relativity and Newtonian Gravitation Theory

Author : David B. Malament
Publisher : University of Chicago Press
ISBN 13 : 0226502473
Total Pages : 363 pages
Book Rating : 4.2/5 (265 download)

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Book Synopsis Topics in the Foundations of General Relativity and Newtonian Gravitation Theory by : David B. Malament

Download or read book Topics in the Foundations of General Relativity and Newtonian Gravitation Theory written by David B. Malament and published by University of Chicago Press. This book was released on 2012-04-02 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Topics in the Foundations of General Relativity and Newtonian Gravitation Theory, David B. Malament presents the basic logical-mathematical structure of general relativity and considers a number of special topics concerning the foundations of general relativity and its relation to Newtonian gravitation theory. These special topics include the geometrized formulation of Newtonian theory (also known as Newton-Cartan theory), the concept of rotation in general relativity, and Gödel spacetime. One of the highlights of the book is a no-go theorem that can be understood to show that there is no criterion of orbital rotation in general relativity that fully answers to our classical intuitions. Topics is intended for both students and researchers in mathematical physics and philosophy of science.

Gravity and Gravitation

Author : Kurtus Ron
Publisher : Ron Kurtus
ISBN 13 : 0976798166
Total Pages : 492 pages
Book Rating : 4.9/5 (767 download)

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Book Synopsis Gravity and Gravitation by : Kurtus Ron

Download or read book Gravity and Gravitation written by Kurtus Ron and published by Ron Kurtus. This book was released on 2011-07 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gravity and Gravitation is a physics book that is written in a form that is easy to understand for high school and beginning college students, as well as science buffs. It is based on the lessons from the School for Champions educational website.The book explains the principles of gravity and gravitation, shows derivations of important gravity equations, and provides applications of those equations. It also compares the different theories of gravitation, from those of Newton to Einstein to present-day concepts.