The Two-body Problem

The Two-body Problem
Author: Thomas Farber
Publisher:
Total Pages: 107
Release: 2012
Genre: Epigrams, English
ISBN: 9780982012529

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Dual-career Academic Couples

Dual-career Academic Couples
Author: Londa L. Schiebinger
Publisher:
Total Pages: 108
Release: 2008
Genre: Academic couples
ISBN:

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The Two-Body Problem

The Two-Body Problem
Author: Lisa Wolf-Wendel
Publisher: JHU Press
Total Pages: 202
Release: 2004-12-01
Genre: Education
ISBN: 0801881498

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Approximately eight of every ten academics have spouses or partners who are working professionals, and almost half of these partners are academics as well. In fact, dual-career academic couples are so prevalent that "the two-body problem" has become a common way of referring to the situation. Increasingly, intense competition to hire the best faculty forces institutions to assist dual-career couples in finding suitable employment for the accompanying spouse or partner. The authors of The Two-Body Problem examine policies and practices used by colleges and universities to respond to the needs of dual-career couples within the economic, legal, and demographic contexts of higher education. Using data from an extensive survey of public and private universities as well as in-depth case studies of institutions representing distinctive approaches to this problem, the authors find that the type of institution—its location, size, governance, mission, and resource availability—is a critical factor in determining dual-career employment options. The Two-Body Problem describes various accommodation models in depth and provides valuable information for college and university administrators responsible for hiring faculty and supporting their performance.

The Three-Body Problem

The Three-Body Problem
Author: Mauri J. Valtonen
Publisher: Cambridge University Press
Total Pages: 366
Release: 2006-03-02
Genre: Mathematics
ISBN: 9780521852241

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How do three celestial bodies move under their mutual gravitational attraction? This problem has been studied by Isaac Newton and leading mathematicians over the last two centuries. Poincaré's conclusion, that the problem represents an example of chaos in nature, opens the new possibility of using a statistical approach. For the first time this book presents these methods in a systematic way, surveying statistical as well as more traditional methods. The book begins by providing an introduction to celestial mechanics, including Lagrangian and Hamiltonian methods, and both the two and restricted three body problems. It then surveys statistical and perturbation methods for the solution of the general three body problem, providing solutions based on combining orbit calculations with semi-analytic methods for the first time. This book should be essential reading for students in this rapidly expanding field and is suitable for students of celestial mechanics at advanced undergraduate and graduate level.

Orbital Mechanics for Engineering Students

Orbital Mechanics for Engineering Students
Author: Howard D. Curtis
Publisher: Elsevier
Total Pages: 740
Release: 2009-10-26
Genre: Technology & Engineering
ISBN: 0080887848

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Orbital Mechanics for Engineering Students, Second Edition, provides an introduction to the basic concepts of space mechanics. These include vector kinematics in three dimensions; Newton’s laws of motion and gravitation; relative motion; the vector-based solution of the classical two-body problem; derivation of Kepler’s equations; orbits in three dimensions; preliminary orbit determination; and orbital maneuvers. The book also covers relative motion and the two-impulse rendezvous problem; interplanetary mission design using patched conics; rigid-body dynamics used to characterize the attitude of a space vehicle; satellite attitude dynamics; and the characteristics and design of multi-stage launch vehicles. Each chapter begins with an outline of key concepts and concludes with problems that are based on the material covered. This text is written for undergraduates who are studying orbital mechanics for the first time and have completed courses in physics, dynamics, and mathematics, including differential equations and applied linear algebra. Graduate students, researchers, and experienced practitioners will also find useful review materials in the book. NEW: Reorganized and improved discusions of coordinate systems, new discussion on perturbations and quarternions NEW: Increased coverage of attitude dynamics, including new Matlab algorithms and examples in chapter 10 New examples and homework problems

The Three-Body Problem

The Three-Body Problem
Author: Cixin Liu
Publisher: Tor Books
Total Pages: 400
Release: 2014-11-11
Genre: Fiction
ISBN: 1466853441

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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 Quantum Mechanical Few-Body Problem

The Quantum Mechanical Few-Body Problem
Author: W. Glöckle
Publisher: Springer Science & Business Media
Total Pages: 207
Release: 2012-12-06
Genre: Science
ISBN: 3642820816

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Few-body systems are both technically relatively simple and physically non trivial enough to test theories quantitatively. For instance the He-atom played historically an important role in verifying predictions of QED. A similar role is contributed nowadays to the three-nucleon system as a testing ground far nuclear dynamics and maybe in the near future to few-quark systems. They are also often the basic building blocks for many-body systems like to some extent nuclei, where the real many-body aspect is not the dominant feature. The presentation of the subject given here is based on lectures held at var ious places in the last ten years. The selection of the topics is certainly subjec tive and influenced by my own research interests. The content of the book is simply organized according to the increasing nu mb er of particles treated. Be cause of its conceptual simplicity single particle motion is very suitable for in troducing the basic elements of scattering theory. Using these elements the two-body system is treated for the specific case of two nucleons, which is of great importance in the study of the nuclear interaction. Great space is devoted to the less trivial few-body system consisting of three particles. Again physical examples are taken solely from nuclear physics. Finally the four particle system is discussed so as to familiarize the reader with the techniques required for the formulations of n-bodies in general.

Variational Principles in Classical Mechanics

Variational Principles in Classical Mechanics
Author: Douglas Cline
Publisher:
Total Pages:
Release: 2018-08
Genre:
ISBN: 9780998837277

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Two dramatically different philosophical approaches to classical mechanics were proposed during the 17th - 18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Euler, Lagrange, Hamilton, and Jacobi, developed powerful alternative variational formulations based on the assumption that nature follows the principle of least action. These variational formulations now play a pivotal role in science and engineering.This book introduces variational principles and their application to classical mechanics. The relative merits of the intuitive Newtonian vectorial formulation, and the more powerful variational formulations are compared. Applications to a wide variety of topics illustrate the intellectual beauty, remarkable power, and broad scope provided by use of variational principles in physics.The second edition adds discussion of the use of variational principles applied to the following topics:(1) Systems subject to initial boundary conditions(2) The hierarchy of related formulations based on action, Lagrangian, Hamiltonian, and equations of motion, to systems that involve symmetries.(3) Non-conservative systems.(4) Variable-mass systems.(5) The General Theory of Relativity.Douglas Cline is a Professor of Physics in the Department of Physics and Astronomy, University of Rochester, Rochester, New York.

The Quantum Mechanical Three-Body Problem

The Quantum Mechanical Three-Body Problem
Author: Erich W. Schmid
Publisher: Elsevier
Total Pages: 226
Release: 2017-01-31
Genre: Science
ISBN: 1483160785

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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.

The Restricted Three-Body Problem and Holomorphic Curves

The Restricted Three-Body Problem and Holomorphic Curves
Author: Urs Frauenfelder
Publisher: Springer
Total Pages: 381
Release: 2018-08-29
Genre: Mathematics
ISBN: 3319722786

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The book serves as an introduction to holomorphic curves in symplectic manifolds, focusing on the case of four-dimensional symplectizations and symplectic cobordisms, and their applications to celestial mechanics. The authors study the restricted three-body problem using recent techniques coming from the theory of pseudo-holomorphic curves. The book starts with an introduction to relevant topics in symplectic topology and Hamiltonian dynamics before introducing some well-known systems from celestial mechanics, such as the Kepler problem and the restricted three-body problem. After an overview of different regularizations of these systems, the book continues with a discussion of periodic orbits and global surfaces of section for these and more general systems. The second half of the book is primarily dedicated to developing the theory of holomorphic curves - specifically the theory of fast finite energy planes - to elucidate the proofs of the existence results for global surfaces of section stated earlier. The book closes with a chapter summarizing the results of some numerical experiments related to finding periodic orbits and global surfaces of sections in the restricted three-body problem. This book is also part of the Virtual Series on Symplectic Geometry http://www.springer.com/series/16019