Leonhard Euler S Contributions To The Method Of The Variation Of The Orbital Elements
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Leonhard Euler S Contributions To The Method Of The Variation Of The Orbital Elements
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Author : Louise Ahrndt Golland
language : en
Publisher:
Release Date : 1991
Leonhard Euler S Contributions To The Method Of The Variation Of The Orbital Elements written by Louise Ahrndt Golland and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Celestial mechanics categories.
Leonhard Euler
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Author : Robert E. Bradley
language : en
Publisher: Elsevier
Release Date : 2007-03-20
Leonhard Euler written by Robert E. Bradley and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-20 with Mathematics categories.
The year 2007 marks the 300th anniversary of the birth of one of the Enlightenment’s most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the world’s best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including much previously unknown information about Euler’s life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Euler’s philosophy. Others describe his influence on the subsequent growth of European mathematics and physics in the 19th century. Still others give technical details of Euler’s innovations in probability, number theory, geometry, analysis, astronomy, mechanics and other fields of mathematics and science. - Over 20 essays by some of the best historians of mathematics and science, including Ronald Calinger, Peter Hoffmann, Curtis Wilson, Kim Plofker, Victor Katz, Ruediger Thiele, David Richeson, Robin Wilson, Ivor Grattan-Guinness and Karin Reich- New details of Euler's life in two essays, one by Ronald Calinger and one he co-authored with Elena Polyakhova- New information on Euler's work in differential geometry, series, mechanics, and other important topics including his influence in the early 19th century
The Legacy Of Leonhard Euler
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Author : Lokenath Debnath
language : en
Publisher: World Scientific
Release Date : 2010
The Legacy Of Leonhard Euler written by Lokenath Debnath and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.
This book primarily serves as a historical research monograph on the biographical sketch and career of Leonhard Euler and his major contributions to numerous areas in the mathematical and physical sciences. It contains fourteen chapters describing Euler?s works on number theory, algebra, geometry, trigonometry, differential and integral calculus, analysis, infinite series and infinite products, ordinary and elliptic integrals and special functions, ordinary and partial differential equations, calculus of variations, graph theory and topology, mechanics and ballistic research, elasticity and fluid mechanics, physics and astronomy, probability and statistics. The book is written to provide a definitive impression of Euler?s personal and professional life as well as of the range, power, and depth of his unique contributions. This tricentennial tribute commemorates Euler the great man and Euler the universal mathematician of all time. Based on the author's historically motivated method of teaching, special attention is given to demonstrate that Euler?s work had served as the basis of research and developments of mathematical and physical sciences for the last 300 years. An attempt is also made to examine his research and its relation to current mathematics and science. Based on a series of Euler?s extraordinary contributions, the historical development of many different subjects of mathematical sciences is traced with a linking commentary so that it puts the reader at the forefront of current research.
Leonhard Euler And The Foundations Of Celestial Mechanics
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Author : Dora Musielak
language : en
Publisher:
Release Date : 2022
Leonhard Euler And The Foundations Of Celestial Mechanics written by Dora Musielak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
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.
Leonhard Euler And The Foundations Of Celestial Mechanics
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Author : Dora Musielak
language : en
Publisher: Springer Nature
Release Date : 2022-11-01
Leonhard Euler And The Foundations Of Celestial Mechanics written by Dora Musielak and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-01 with Science categories.
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.
Newton S Forgotten Lunar Theory
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Author : Nick Kollerstrom
language : en
Publisher:
Release Date : 2000
Newton S Forgotten Lunar Theory written by Nick Kollerstrom and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Science categories.
"Around the turn of the eighteenth century, one of the most pressing practical scientific problems was accurate prediction of the moon's position. Although Isaac Newton had hoped to solve this problem using the dynamic approach developed in Principia in 1687, he never succeeded in doing so. Instead, he reverted to an old-fashioned kinematic theory, using epicyclic motion. A terse summary of the theory was published in 1702 by David Gregory as part of his Astronomiae elementa. The present work includes Newton's full text with annotations explaining terms and relating the text to Kollerstrom's analysis. In this detailed study, Kollerstrom solves the enigma of Newton's "forgotten" lunar theory. He ascertains, for the first time ever, just what Newton's theory did and did not achieve."--Amazon.
Orbital Mechanics For Engineering Students
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Author : Howard D Curtis
language : en
Publisher: Elsevier
Release Date : 2009-10-26
Orbital Mechanics For Engineering Students written by Howard D Curtis and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-26 with Technology & Engineering categories.
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
Directory Of History Departments And Organizations In The United States And Canada
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Author :
language : en
Publisher:
Release Date : 1992
Directory Of History Departments And Organizations In The United States And Canada written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with History categories.
Satellites
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Author : Michel Capderou
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-31
Satellites written by Michel Capderou and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-31 with Science categories.
This useful resource deals with satellite orbits, showing how the wide range of available orbits can be used in communications, positioning, remote-sensing, meteorology, and astronomy.
History Of Astronomy
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Author : John Lankford
language : en
Publisher: Taylor & Francis
Release Date : 1997
History Of Astronomy written by John Lankford and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with History categories.
First Published in 1997. Routledge is an imprint of Taylor & Francis, an informa company.