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The Three Body Problem

The Three Body Problem Book
Author : Cixin Liu
Publisher : Tor Books
Release : 2016-01-12
ISBN : 9780765382030
Language : En, Es, Fr & De

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Book Description :

"Wildly imaginative, really interesting." —President Barack Obama on The Three-Body Problem trilogy The Three-Body Problem is the first chance for English-speaking readers to experience the Hugo Award-winning phenomenon from China's most beloved science fiction author, Liu Cixin. 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 Remembrance of Earth's Past Trilogy The Three-Body Problem The Dark Forest Death's End Other Books Ball Lightning (forthcoming)

Dark Forest

Dark Forest Book
Author : Anonim
Publisher : Unknown
Release : 2016
ISBN : 9781784971618
Language : En, Es, Fr & De

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Download Dark Forest book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

The Three body Problem from Pythagoras to Hawking

The Three body Problem from Pythagoras to Hawking Book
Author : Mauri Valtonen,Joanna Anosova,Konstantin Kholshevnikov,Aleksandr Mylläri,Victor Orlov,Kiyotaka Tanikawa
Publisher : Springer
Release : 2016-04-13
ISBN : 9783319227252
Language : En, Es, Fr & De

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Book Description :

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.

The Three Body Problem

The Three Body Problem Book
Author : C. Marchal
Publisher : Elsevier
Release : 2012-12-02
ISBN : 0444600744
Language : En, Es, Fr & De

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Book Description :

Recent research on the theory of perturbations, the analytical approach and the quantitative analysis of the three-body problem have reached a high degree of perfection. The use of electronics has aided developments in quantitative analysis and has helped to disclose the extreme complexity of the set of solutions. This accelerated progress has given new orientation and impetus to the qualitative analysis that is so complementary to the quantitative analysis. The book begins with the various formulations of the three-body problem, the main classical results and the important questions and conjectures involved in this subject. The main part of the book describes the remarkable progress achieved in qualitative analysis which has shed new light on the three-body problem. It deals with questions such as escapes, captures, periodic orbits, stability, chaotic motions, Arnold diffusion, etc. The most recent tests of escape have yielded very impressive results and border very close on the true limits of escape, showing the domain of bounded motions to be much smaller than was expected. An entirely new picture of the three-body problem is emerging, and the book reports on this recent progress. The structure of the solutions for the three-body problem lead to a general conjecture governing the picture of solutions for all Hamiltonian problems. The periodic, quasi-periodic and almost-periodic solutions form the basis for the set of solutions and separate the chaotic solutions from the open solutions.

The Three Body Problem

The Three Body Problem Book
Author : Valtonen. M. J. (Mauri J.),Mauri Valtonen,Hannu Karttunen
Publisher : Cambridge University Press
Release : 2006-03-02
ISBN : 9780521852241
Language : En, Es, Fr & De

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Book Description :

"How do three celestial bodies move under their mutual gravitational attraction? It is a problem that has been studied by Isaac Newton and leading mathematicians over the last two centuries. Poincare's conclusion that the problem represents an example ofchaos in nature, opens new possibilities of dealing with it: a statistical approach. For the first time such methods are presented in a systematic way. The book surveys statistical methods as well as more traditional methods, suitable for students of celestial mechanics at advanced undergraduate level."--BOOK JACKET.

Ball Lightning

Ball Lightning Book
Author : Cixin Liu
Publisher : Tor Books
Release : 2018-08-14
ISBN : 0765394081
Language : En, Es, Fr & De

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Book Description :

From the New York Times bestselling author of the Three-Body Trilogy, Cixin Liu's Ball Lightning is the story of what happens when the beauty of scientific inquiry runs up against the drive to harness new discoveries with no consideration of their possible consequences. When Chen’s parents are incinerated before his eyes by a blast of ball lightning, he devotes his life to cracking the secret of this mysterious natural phenomenon. His search takes him to stormy mountaintops, an experimental military weapons lab, and an old Soviet science station. The more he learns, the more he comes to realize that ball lightning is just the tip of an entirely new frontier. While Chen’s quest for answers gives purpose to his lonely life, it also pits him against soldiers and scientists with motives of their own: a beautiful army major with an obsession with dangerous weaponry, and a physicist who has no place for ethical considerations in his single-minded pursuit of knowledge. "Wildly imaginative."—Barack Obama on The Three-Body Problem trilogy Tor books by Cixin Liu The Remembrance of Earth's Past #1 The Three-Body Problem #2 The Dark Forest #3 Death's End At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.

The Integral Manifolds of the Three Body Problem

The Integral Manifolds of the Three Body Problem Book
Author : Christopher Keil McCord,Kenneth Ray Meyer,Quidong Wang
Publisher : American Mathematical Soc.
Release : 1998
ISBN : 0821806920
Language : En, Es, Fr & De

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Book Description :

The phase space of the spatial three-body problem is an open subset in ${\mathbb R}^{18}$. Holding the ten classical integrals of energy, center of mass, linear and angular momentum fixed defines an eight dimensional submanifold. For fixed nonzero angular momentum, the topology of this manifold depends only on the energy. This volume computes the homology of this manifold for all energy values. This table of homology shows that for negative energy, the integral manifolds undergo seven bifurcations. Four of these are the well-known bifurcations due to central configurations, and three are due to 'critical points at infinity'. This disproves Birkhoff's conjecture that the bifurcations occur only at central configurations.

       Book
Author : 刘慈欣
Publisher : Unknown
Release : 2010
ISBN : 9787229030933
Language : En, Es, Fr & De

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Book Description :

Download book written by 刘慈欣, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Poincare and the Three Body Problem

Poincare and the Three Body Problem Book
Author : June Barrow-Green
Publisher : American Mathematical Soc.
Release : 1997
ISBN : 9780821803677
Language : En, Es, Fr & De

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Book Description :

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.

On Lagrange s Theory of the Three body Problem

On Lagrange s Theory of the Three body Problem Book
Author : Karl Stumpff
Publisher : Unknown
Release : 1963
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download On Lagrange s Theory of the Three body Problem book written by Karl Stumpff, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

The Three Body Problem

The Three Body Problem Book
Author : Cixin Liu
Publisher : Tor Books
Release : 2014-11-11
ISBN : 1466853441
Language : En, Es, Fr & De

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Book Description :

Soon to be a Netflix Original Series! “War of the Worlds for the 21st century.” – Wall Street Journal The Three-Body Problem is the first chance for English-speaking readers to experience the Hugo Award-winning phenomenon from China's most beloved science fiction author, Liu Cixin. 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 Ball Lightning Supernova Era To Hold Up The Sky (forthcoming) At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.

Generating Families in the Restricted Three Body Problem

Generating Families in the Restricted Three Body Problem Book
Author : Michel Henon
Publisher : Springer
Release : 2013-10-03
ISBN : 9783662145173
Language : En, Es, Fr & De

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Book Description :

hereafter calledvolume the of In a volume study previous (H6non 1997, I), the restricted initiated. families in problem (We generating three body was recallthat families defined asthe limits offamilies of are periodic generating determinationof orbitsfor Themain wasfoundto lieinthe 4 problem p 0.) bifurcation wheretwo the betweenthebranches ata ormore orbit, junctions A solutionto this was familiesof orbits intersect. partial problem generating and sidesof theuseofinvariants: Manysimple symmetries passage. givenby In the evolution of the bifurcations can be solved in this way. particular, orbits be described almost nine natural families of can completely. periodic become i.e.when thenumber of asthe bifurcations morecomplex, However, fails. the bifurcation orbit themethod families increases, passingthrough of This volume describes another to the a approach problem, consisting in of bifurcation ofthe families the a analysis vicinity detailed, quantitative used in Vol. I. orbit. This moreworkthan the requires qualitativeapproach in at to deter it has the of least, However, advantage allowing us, principle branches Infact it morethanthat: minein allcaseshowthe are joined. gives almost all the first order we will see in asymptotic approxima that, cases, the families in the ofthe bifurcation can be derived. tion of neighbourhood found in with This a comparison numerically allows, particular, quantitative families. and The 11 dealswiththerelevant definitions Chapter generalequations. of describedin 12 16.The ofbifurcations 1 is Chaps. study type quantitative it is described in 17 23. 3 of 2 ismore Chaps. Type analysis type involved; its hadnot been at thetime of isevenmore completed complex; analysis yet writing.

The Three Body Problem Series

The Three Body Problem Series Book
Author : Cixin Liu
Publisher : Tor Books
Release : 2017-03-14
ISBN : 076539748X
Language : En, Es, Fr & De

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Book Description :

This discounted ebundle of the Three-Body Trilogy includes: The Three-Body Problem, The Dark Forest, Death’s End "Wildly imaginative, really interesting." —President Barack Obama The Three-Body trilogy by New York Times bestseller Cixin Liu keeps you riveted with high-octane action, political intrigue, and unexpected twists in this saga of first contact with the extraterrestrial Trisolaris. The Three-Body Problem — 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 Dark Forest — In The Dark Forest, the aliens' human collaborators may have been defeated, but the presence of the sophons, the subatomic particles that allow Trisolaris instant access to all human information remains. Humanity responds with the Wallfacer Project, a daring plan that grants four men enormous resources to design secret strategies, hidden through deceit and misdirection from Earth and Trisolaris alike. Three of the Wallfacers are influential statesmen and scientists, but the fourth is a total unknown. Luo Ji, an unambitious Chinese astronomer and sociologist, is baffled by his new status. All he knows is that he's the one Wallfacer that Trisolaris wants dead. Death’s End — Half a century after the Doomsday Battle, Cheng Xin, an aerospace engineer from the early 21st 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? Other Books by Cixin Liu (Translated to English) The Remembrance of Earth's Past The Three-Body Problem The Dark Forest Death's End Other Books Ball Lightning At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.

Nuclear Science Abstracts

Nuclear Science Abstracts Book
Author : Anonim
Publisher : Unknown
Release : 1974
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Download Nuclear Science Abstracts book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

The Three Body Problem and the Equations of Dynamics

The Three Body Problem and the Equations of Dynamics Book
Author : Henri Poincaré
Publisher : Springer
Release : 2017-05-11
ISBN : 3319528998
Language : En, Es, Fr & De

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Book Description :

Here is an accurate and readable translation of a seminal article by Henri Poincaré that is a classic in the study of dynamical systems popularly called chaos theory. In an effort to understand the stability of orbits in the solar system, Poincaré applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to arrive at properties of the equations’ solutions, such as orbital resonances and horseshoe orbits. Poincaré wrote for professional mathematicians and astronomers interested in celestial mechanics and differential equations. Contemporary historians of math or science and researchers in dynamical systems and planetary motion with an interest in the origin or history of their field will find his work fascinating.

The Quantum Mechanical Three Body Problem

The Quantum Mechanical Three Body Problem Book
Author : Erich W. Schmid,Horst Zieģelmann
Publisher : Elsevier
Release : 2017-01-31
ISBN : 1483160785
Language : En, Es, Fr & De

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Book Description :

The Quantum Mechanical Three-Body Problem deals with the three-body problem in quantum mechanics. Topics include the two- and three-particle problem, the Faddeev equations and their solution, separable potentials, and variational methods. This book has eight chapters; the first of which introduces the reader to the quantum mechanical three-body problem, its difficulties, and its importance in nuclear physics. Scattering experiments with three-particle breakup are presented. Attention then turns to some concepts of quantum mechanics, with emphasis on two-particle scattering and the Hamiltonian for three particles. The chapters that follow are devoted to the Faddeev equations, including those for scattering states and transition operators, and how such equations can be solved in practice. The solution of the Faddeev equations for separable potentials and local potentials is presented, along with the use of Padé approximation to solve the Faddeev equations. This book concludes with an appraisal of variational methods for bound states, elastic and rearrangement scattering, and the breakup reaction. A promising variational method for solving the Faddeev equations is described. This book will be of value to students interested in three-particle physics and to experimentalists who want to understand better how the theoretical data are derived.

Geometrical Themes Inspired by the N body Problem

Geometrical Themes Inspired by the N body Problem Book
Author : Luis Hernández-Lamoneda,Haydeé Herrera,Rafael Herrera
Publisher : Springer
Release : 2018-02-26
ISBN : 3319714287
Language : En, Es, Fr & De

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Book Description :

Presenting a selection of recent developments in geometrical problems inspired by the N-body problem, these lecture notes offer a variety of approaches to study them, ranging from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references. A. Guillot’s notes aim to describe differential equations in the complex domain, motivated by the evolution of N particles moving on the plane subject to the influence of a magnetic field. Guillot studies such differential equations using different geometric structures on complex curves (in the sense of W. Thurston) in order to find isochronicity conditions. R. Montgomery’s notes deal with a version of the planar Newtonian three-body equation. Namely, he investigates the problem of whether every free homotopy class is realized by a periodic geodesic. The solution involves geometry, dynamical systems, and the McGehee blow-up. A novelty of the approach is the use of energy-balance in order to motivate the McGehee transformation. A. Pedroza’s notes provide a brief introduction to Lagrangian Floer homology and its relation to the solution of the Arnol’d conjecture on the minimal number of non-degenerate fixed points of a Hamiltonian diffeomorphism.

Periodic Solutions of the N Body Problem

Periodic Solutions of the N Body Problem Book
Author : Kenneth R. Meyer
Publisher : Springer
Release : 2006-11-17
ISBN : 3540480730
Language : En, Es, Fr & De

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Book Description :

The N-body problem is the classical prototype of a Hamiltonian system with a large symmetry group and many first integrals. These lecture notes are an introduction to the theory of periodic solutions of such Hamiltonian systems. From a generic point of view the N-body problem is highly degenerate. It is invariant under the symmetry group of Euclidean motions and admits linear momentum, angular momentum and energy as integrals. Therefore, the integrals and symmetries must be confronted head on, which leads to the definition of the reduced space where all the known integrals and symmetries have been eliminated. It is on the reduced space that one can hope for a nonsingular Jacobian without imposing extra symmetries. These lecture notes are intended for graduate students and researchers in mathematics or celestial mechanics with some knowledge of the theory of ODE or dynamical system theory. The first six chapters develops the theory of Hamiltonian systems, symplectic transformations and coordinates, periodic solutions and their multipliers, symplectic scaling, the reduced space etc. The remaining six chapters contain theorems which establish the existence of periodic solutions of the N-body problem on the reduced space.

The Three Body Problem and the Equations of Dynamics

The Three Body Problem and the Equations of Dynamics Book
Author : Henri Poincaré
Publisher : Springer
Release : 2018-07-28
ISBN : 9783319850122
Language : En, Es, Fr & De

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Book Description :

Here is an accurate and readable translation of a seminal article by Henri Poincaré that is a classic in the study of dynamical systems popularly called chaos theory. In an effort to understand the stability of orbits in the solar system, Poincaré applied a Hamiltonian formulation to the equations of planetary motion and studied these differential equations in the limited case of three bodies to arrive at properties of the equations’ solutions, such as orbital resonances and horseshoe orbits. Poincaré wrote for professional mathematicians and astronomers interested in celestial mechanics and differential equations. Contemporary historians of math or science and researchers in dynamical systems and planetary motion with an interest in the origin or history of their field will find his work fascinating.

Methods of Celestial Mechanics

Methods of Celestial Mechanics Book
Author : Gerhard Beutler
Publisher : Springer Science & Business Media
Release : 2004-11-18
ISBN : 3540407499
Language : En, Es, Fr & De

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Book Description :

G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students as well as an excellent reference for practitioners. The first volume gives a thorough treatment of celestial mechanics and presents all the necessary mathematical details that a professional would need. The reader will appreciate the well-written chapters on numerical solution techniques for ordinary differential equations, as well as that on orbit determination. In the second volume applications to the rotation of earth and moon, to artificial earth satellites and to the planetary system are presented. The author addresses all aspects that are of importance in high-tech applications, such as the detailed gravitational fields of all planets and the earth, the oblateness of the earth, the radiation pressure and the atmospheric drag. The concluding part of this monumental treatise explains and details state-of-the-art professional and thoroughly-tested software for celestial mechanics.