The Gravitational Million Body Problem

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The Gravitational Million-Body Problem

Author : D. C. Heggie
Publisher : Cambridge University Press
ISBN 13 : 9780521773034
Total Pages : 22 pages
Book Rating : 4.7/5 (73 download)

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Book Synopsis The Gravitational Million-Body Problem by : D. C. Heggie

Download or read book The Gravitational Million-Body Problem written by D. C. Heggie and published by Cambridge University Press. This book was released on 2003-01-23 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: The globular star clusters of the Milky Way contain hundreds of thousands of stars held together by gravitational interactions, and date from the time when the Milky Way was forming. This 2003 text describes the theory astronomers need for studying globular star clusters. The gravitational million-body problem is an idealised model for understanding the dynamics of a cluster with a million stars. After introducing the million-body problem from various view-points, the book systematically develops the tools needed for studying the million-body problems in nature, and introduces the most important theoretical models. Including a comprehensive treatment of few-body interactions, and developing an intuitive but quantitative understanding of the three-body problem, the book introduces numerical methods, relevant software, and current problems. Suitable for graduate students and researchers in astrophysics and astronomy, this text also has important applications in the fields of theoretical physics, computational science and mathematics.

The Million-Body Problem

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (118 download)

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Book Synopsis The Million-Body Problem by :

Download or read book The Million-Body Problem written by and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Consider the problem of gravitational interactions between millions of bodies, such as the countless stars in a galaxy. Amazingly, mathematics can reveal useful information even in these complicated cases. Discover how the analysis of the motions of galaxies led to the prediction of dark matter.

Gravitational N-Body Simulations

Author : Sverre J. Aarseth
Publisher : Cambridge University Press
ISBN 13 : 9780521432726
Total Pages : 440 pages
Book Rating : 4.4/5 (327 download)

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Book Synopsis Gravitational N-Body Simulations by : Sverre J. Aarseth

Download or read book Gravitational N-Body Simulations written by Sverre J. Aarseth and published by Cambridge University Press. This book was released on 2003-10-23 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses in detail all the relevant numerical methods for the classical N-body problem. It demonstrates how to develop clear and elegant algorithms for models of gravitational systems, and explains the fundamental mathematical tools needed to describe the dynamics of a large number of mutually attractive particles. Particular attention is given to the techniques needed to model astrophysical phenomena such as close encounters and the dynamics of black hole binaries. The author reviews relevant work in the field and covers applications to the problems of planetary formation and star cluster dynamics, both of Pleiades type and globular clusters. Self-contained and pedagogical, this book is suitable for graduate students and researchers in theoretical physics, astronomy and cosmology.

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.

Poincare and the Three Body Problem

Author : June Barrow-Green
Publisher : American Mathematical Soc.
ISBN 13 : 9780821803677
Total Pages : 294 pages
Book Rating : 4.8/5 (36 download)

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Book Synopsis Poincare and the Three Body Problem by : June Barrow-Green

Download or read book Poincare and the Three Body Problem written by June Barrow-Green and published by American Mathematical Soc.. This book was released on 1997 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Poincare's famous memoir on the three body problem arose from his entry in the competition celebrating the 60th birthday of King Oscar of Sweden and Norway. His essay won the prize and was set up in print as a paper in Acta Mathematica when it was found to contain a deep and critical error. In correcting this error Poincare discovered mathematical chaos, as is now clear from June Barrow-Green's pioneering study of a copy of the original memoir annotated by Poincare himself, recently discovered in the Institut Mittag-Leffler in Stockholm. Poincare and the Three Body Problem opens with a discussion of the development of the three body problem itself and Poincare's related earlier work. The book also contains intriguing insights into the contemporary European mathematical community revealed by the workings of the competition. After an account of the discovery of the error and a detailed comparative study of both the original memoir and its rewritten version, the book concludes with an account of the final memoir's reception, influence and impact, and an examination of Poincare's subsequent highly influential work in celestial mechanics.

Death's End

Author : Cixin Liu
Publisher : Macmillan
ISBN 13 : 0765377101
Total Pages : 605 pages
Book Rating : 4.7/5 (653 download)

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Book Synopsis Death's End by : Cixin Liu

Download or read book Death's End written by Cixin Liu and published by Macmillan. This book was released on 2016-09-20 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mutually assured destruction has led to decades of peace between humanity and the Trisolarans, but a new force is awakening and this delicate balance can no longer hold... Half a century after the Doomsday Battle, the uneasy balance of Dark Forest Deterrence keeps the Trisolaran invaders at bay. Earth enjoys unprecedented prosperity due to the infusion of Trisolaran knowledge. With human science advancing daily and the Trisolarans adopting Earth culture, it seems that the two civilizations will soon be able to co-exist peacefully as equals without the terrible threat of mutually assured annihilation. But the peace has also made humanity complacent. Cheng Xin, an aerospace engineer from the early twenty-first century, awakens from hibernation in this new age. She brings with her knowledge of a long-forgotten program dating from the beginning of the Trisolar Crisis, and her very presence may upset the delicate balance between two worlds. Will humanity reach for the stars or die in its cradle? Death's End is the New York Times bestselling conclusion to Cixin Liu's tour-de-force series that began with The Three-Body Problem. "The War of the Worlds for the twenty-first century . . . Packed with a sense of wonder." --The Wall Street Journal "A meditation on technology, progress, morality, extinction, and knowledge that doubles as a cosmos- in-the-balance thriller." --NPR The Remembrance of Earth's Past Trilogy The Three-Body Problem The Dark Forest Death's End Other Books Ball Lightning (forthcoming)

The Three-Body Problem

Author : Cixin Liu
Publisher : Tor Books
ISBN 13 : 1466853441
Total Pages : 400 pages
Book Rating : 4.4/5 (668 download)

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Book Synopsis The Three-Body Problem by : Cixin Liu

Download or read book The Three-Body Problem written by Cixin Liu and published by Tor Books. This book was released on 2014-11-11 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The inspiration for the Netflix series 3 Body Problem! WINNER OF THE HUGO AWARD FOR BEST NOVEL Over 1 million copies sold in North America “A mind-bending epic.”—The New York Times • “War of the Worlds for the 21st century.”—The Wall Street Journal • “Fascinating.”—TIME • “Extraordinary.”—The New Yorker • “Wildly imaginative.”—Barack Obama • “Provocative.”—Slate • “A breakthrough book.”—George R. R. Martin • “Impossible to put down.”—GQ • “Absolutely mind-unfolding.”—NPR • “You should be reading Liu Cixin.”—The Washington Post The Three-Body Problem is the first novel in the groundbreaking, Hugo Award-winning series from China's most beloved science fiction author, Cixin Liu. Set against the backdrop of China's Cultural Revolution, a secret military project sends signals into space to establish contact with aliens. An alien civilization on the brink of destruction captures the signal and plans to invade Earth. Meanwhile, on Earth, different camps start forming, planning to either welcome the superior beings and help them take over a world seen as corrupt, or to fight against the invasion. The result is a science fiction masterpiece of enormous scope and vision. The Three-Body Problem Series The Three-Body Problem The Dark Forest Death's End Other Books by Cixin Liu Ball Lightning Supernova Era To Hold Up the Sky The Wandering Earth A View from the Stars At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.

The Cambridge N-Body Lectures

Author : Sverre Aarseth
Publisher : Springer
ISBN 13 : 1402084315
Total Pages : 405 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Cambridge N-Body Lectures by : Sverre Aarseth

Download or read book The Cambridge N-Body Lectures written by Sverre Aarseth and published by Springer. This book was released on 2008-09-02 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published under the auspices of the Royal Astronomical Society, this volume contains a set of extensive school tested lectures, with the aim to give a coherent and thorough background knowledge of the subject and to introduce the latest developments in N-body computational astrophysics. The topics cover a wide range from the classical few-body problem with discussions of resonance, chaos and stability to realistic modelling of star clusters as well as descriptions of codes, algorithms and special hardware for N-body simulations. This collection of topics, related to the gravitational N-body problem, will prove useful to both students and researchers in years to come. 1) Published under the auspices of the Royal Astronomical Society.

The Three-body Problem from Pythagoras to Hawking

Author : Mauri Valtonen
Publisher : Springer
ISBN 13 : 3319227262
Total Pages : 183 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis The Three-body Problem from Pythagoras to Hawking by : Mauri Valtonen

Download or read book The Three-body Problem from Pythagoras to Hawking written by Mauri Valtonen and published by Springer. This book was released on 2016-05-03 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, written for a general readership, reviews and explains the three-body problem in historical context reaching to latest developments in computational physics and gravitation theory. The three-body problem is one of the oldest problems in science and it is most relevant even in today’s physics and astronomy. The long history of the problem from Pythagoras to Hawking parallels the evolution of ideas about our physical universe, with a particular emphasis on understanding gravity and how it operates between astronomical bodies. The oldest astronomical three-body problem is the question how and when the moon and the sun line up with the earth to produce eclipses. Once the universal gravitation was discovered by Newton, it became immediately a problem to understand why these three-bodies form a stable system, in spite of the pull exerted from one to the other. In fact, it was a big question whether this system is stable at all in the long run. Leading mathematicians attacked this problem over more than two centuries without arriving at a definite answer. The introduction of computers in the last half-a-century has revolutionized the study; now many answers have been found while new questions about the three-body problem have sprung up. One of the most recent developments has been in the treatment of the problem in Einstein’s General Relativity, the new theory of gravitation which is an improvement on Newton’s theory. Now it is possible to solve the problem for three black holes and to test one of the most fundamental theorems of black hole physics, the no-hair theorem, due to Hawking and his co-workers.

Gravitational N-Body Problem

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (251 download)

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Book Synopsis Gravitational N-Body Problem by :

Download or read book Gravitational N-Body Problem written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

N-body Gravitational Problem

Author : Karel Havel
Publisher :
ISBN 13 :
Total Pages : 104 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis N-body Gravitational Problem by : Karel Havel

Download or read book N-body Gravitational Problem written by Karel Havel and published by . This book was released on 2008 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is based on the previously published e-books of the same author: N Bodies -- no problem : unrestricted two and three dimensional solutions (first edition February 2005; second expanded edition September 2005) and N-body Gravitational Problem: Unrestricted Solution (June 2007)"--

Handbook of Gravitational Wave Astronomy

Author : Cosimo Bambi
Publisher : Springer Nature
ISBN 13 : 9811643067
Total Pages : 1895 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Handbook of Gravitational Wave Astronomy by : Cosimo Bambi

Download or read book Handbook of Gravitational Wave Astronomy written by Cosimo Bambi and published by Springer Nature. This book was released on 2022-07-02 with total page 1895 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook provides an updated comprehensive description of gravitational wave astronomy. In the first part, it reviews gravitational wave experiments, from ground and space based laser interferometers to pulsar timing arrays and indirect detection from the cosmic microwave background. In the second part, it discusses a number of astrophysical and cosmological gravitational wave sources, including black holes, neutron stars, possible more exotic objects, and sources in the early Universe. The third part of the book reviews the methods to calculate gravitational waveforms. The fourth and last part of the book covers techniques employed in gravitational wave astronomy data analysis. This book represents both a valuable resource for graduate students and an important reference for researchers in gravitational wave astronomy.

Galileo Unbound

Author : David D. Nolte
Publisher : Oxford University Press
ISBN 13 : 0192528505
Total Pages : 384 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Galileo Unbound by : David D. Nolte

Download or read book Galileo Unbound written by David D. Nolte and published by Oxford University Press. This book was released on 2018-07-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.

Dynamical Systems

Author : Wang Sang Koon
Publisher : Springer
ISBN 13 : 9780387495156
Total Pages : 336 pages
Book Rating : 4.4/5 (951 download)

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Book Synopsis Dynamical Systems by : Wang Sang Koon

Download or read book Dynamical Systems written by Wang Sang Koon and published by Springer. This book was released on 2011-06-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers global solutions to the restricted three-body problem from a geometric point of view. The authors seek dynamical channels in the phase space which wind around the planets and moons and naturally connect them. These low energy passageways could slash the amount of fuel spacecraft need to explore and develop our solar system. In order to effectively exploit these passageways, the book addresses the global transport. It goes beyond the traditional scope of libration point mission design, developing tools for the design of trajectories which take full advantage of natural three or more body dynamics, thereby saving precious fuel and gaining flexibility in mission planning. This is the key for the development of some NASA mission trajectories, such as low energy libration point orbit missions (e.g., the sample return Genesis Discovery Mission), low energy lunar missions and low energy tours of outer planet moon systems, such as a mission to tour and explore in detail the icy moons of Jupiter. This book can serve as a valuable resource for graduate students and advanced undergraduates in applied mathematics and aerospace engineering, as well as a manual for practitioners who work on libration point and deep space missions in industry and at government laboratories. the authors include a wealth of background material, but also bring the reader up to a portion of the research frontier.

Workshop on Molecular Dynamics on Parallel Computers

Author : Rdiger Esser
Publisher : World Scientific
ISBN 13 : 9789810242329
Total Pages : 400 pages
Book Rating : 4.2/5 (423 download)

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Book Synopsis Workshop on Molecular Dynamics on Parallel Computers by : Rdiger Esser

Download or read book Workshop on Molecular Dynamics on Parallel Computers written by Rdiger Esser and published by World Scientific. This book was released on 2000 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Molecular dynamics is a well-established technique for simulating complex many-particle systems in many areas of physics, chemistry, and astrophysics. The huge computational requirements for simulations of large systems, especially with long-range forces, demand the use of massively parallel computers. Designing efficient algorithms for these problems is a highly non-trivial task. This book contains the invited talks and abstracts presented at a conference by more than 100 researchers from various fields: computer science, solid state physics, high energy physics, polymers, biochemistry, granular materials and astrophysics. Most of the contributions have been written by users of massively parallel computers and deal with practical issues, but there are also contributions tackling more fundamental algorithmic problems.

Galactic Dynamics

Author : James Binney
Publisher : Princeton University Press
ISBN 13 : 1400828724
Total Pages : 902 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Galactic Dynamics by : James Binney

Download or read book Galactic Dynamics written by James Binney and published by Princeton University Press. This book was released on 2011-10-30 with total page 902 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since it was first published in 1987, Galactic Dynamics has become the most widely used advanced textbook on the structure and dynamics of galaxies and one of the most cited references in astrophysics. Now, in this extensively revised and updated edition, James Binney and Scott Tremaine describe the dramatic recent advances in this subject, making Galactic Dynamics the most authoritative introduction to galactic astrophysics available to advanced undergraduate students, graduate students, and researchers. Every part of the book has been thoroughly overhauled, and many sections have been completely rewritten. Many new topics are covered, including N-body simulation methods, black holes in stellar systems, linear stability and response theory, and galaxy formation in the cosmological context. Binney and Tremaine, two of the world's leading astrophysicists, use the tools of theoretical physics to describe how galaxies and other stellar systems work, succinctly and lucidly explaining theoretical principles and their applications to observational phenomena. They provide readers with an understanding of stellar dynamics at the level needed to reach the frontiers of the subject. This new edition of the classic text is the definitive introduction to the field. ? A complete revision and update of one of the most cited references in astrophysics Provides a comprehensive description of the dynamical structure and evolution of galaxies and other stellar systems Serves as both a graduate textbook and a resource for researchers Includes 20 color illustrations, 205 figures, and more than 200 problems Covers the gravitational N-body problem, hierarchical galaxy formation, galaxy mergers, dark matter, spiral structure, numerical simulations, orbits and chaos, equilibrium and stability of stellar systems, evolution of binary stars and star clusters, and much more Companion volume to Galactic Astronomy, the definitive book on the phenomenology of galaxies and star clusters

Computational Science – ICCS 2023

Author : Jiří Mikyška
Publisher : Springer Nature
ISBN 13 : 3031360214
Total Pages : 751 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Computational Science – ICCS 2023 by : Jiří Mikyška

Download or read book Computational Science – ICCS 2023 written by Jiří Mikyška and published by Springer Nature. This book was released on 2023-06-30 with total page 751 pages. Available in PDF, EPUB and Kindle. Book excerpt: The five-volume set LNCS 14073-14077 constitutes the proceedings of the 23rd International Conference on Computational Science, ICCS 2023, held in Prague, Czech Republic, during July 3-5, 2023. The total of 188 full papers and 94 short papers presented in this book set were carefully reviewed and selected from 530 submissions. 54 full and 37 short papers were accepted to the main track; 134 full and 57 short papers were accepted to the workshops/thematic tracks. The theme for 2023, "Computation at the Cutting Edge of Science", highlights the role of Computational Science in assisting multidisciplinary research. This conference was a unique event focusing on recent developments in scalable scientific algorithms, advanced software tools; computational grids; advanced numerical methods; and novel application areas. These innovative novel models, algorithms, and tools drive new science through efficient application in physical systems, computational and systems biology, environmental systems, finance, and others.