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Author : Otto Dziobek
Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Theories of Planetary Motions written by Otto Dziobek and published by . This book was released on 1892 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William J. Hussey
Publisher :
ISBN 13 : 9783337883065
Total Pages : 308 pages
Book Rating : 4.8/5 (83 download)
Download or read book Mathematical Theories of Planetary Motions written by William J. Hussey and published by . This book was released on 2019-12-11 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Otto Dziobek
Publisher :
ISBN 13 :
Total Pages : 294 pages
Book Rating : 4.:/5 (1 download)
Download or read book Mathematical Theories of Planetary Motions written by Otto Dziobek and published by . This book was released on 1962 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Otto Dziobek
Publisher : Forgotten Books
ISBN 13 : 9781333344610
Total Pages : 312 pages
Book Rating : 4.3/5 (446 download)
Download or read book Mathematical Theories of Planetary Motions (Classic Reprint) written by Otto Dziobek and published by Forgotten Books. This book was released on 2016-08-24 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Mathematical Theories of Planetary Motions This work is intended not merely as an introduction to the special study of astronomy, but rather for the student of mathematics who desires an insight into the creations of his masters in this field. The lack of a text-book, giving within moderate limits and in a strictly scientific manner the principles of mathematical astronomy in their present remark ably simple and lucid form, is undoubtedly the reason why so many mathematicians extend their knowledge of the solar system but little beyond Kepler's laws. The author has endeavored to meet this need and at the same time to produce a book which shall be so near the present state of the science as to include recent investigations and to indicate unsettled questions. The subject of the work is that part of celestial mechanics which treats of the motions of heavenly bodies considered as material points. This is its most important part, and it is fundamental in the theories of rotation, tides and the figures of bodies. The author hopes to treat of these in a separate work. The simplest processes and those which best represent the present state of the science have always been selected. Especial care has been taken to guard against brilliant hypotheses which explorers in this field have so often indulged in but which are not suitable in a text-book. References to original sources of information are invariably given. These will be useful to students who desire to study further. Assistance in this direction is also afforded by the historical sketches accompanying each important sub-division' of the work. The tables at the end of the book give the numerical values of the elements of the solar system according to Leverrier and Newcomb. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Otto Franz Dziobek
Publisher :
ISBN 13 :
Total Pages : 316 pages
Book Rating : 4.E/5 ( download)
Download or read book Mathematical theories of planetary motion written by Otto Franz Dziobek and published by . This book was released on 1892 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Otto Franz 1856-1919 Dziobek
Publisher : Wentworth Press
ISBN 13 : 9781372861611
Total Pages : 312 pages
Book Rating : 4.8/5 (616 download)
Download or read book MATHEMATICAL THEORIES OF PLANE written by Otto Franz 1856-1919 Dziobek and published by Wentworth Press. This book was released on 2016-08-28 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Otto Dziobek
Publisher : Palala Press
ISBN 13 : 9781347508640
Total Pages : 312 pages
Book Rating : 4.5/5 (86 download)
Download or read book Mathematical Theories of Planetary Motions written by Otto Dziobek and published by Palala Press. This book was released on 2015-12-06 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Otto Franz Dziobek
Publisher : Palala Press
ISBN 13 : 9781354713358
Total Pages : 312 pages
Book Rating : 4.7/5 (133 download)
Download or read book Mathematical Theories of Planetary Motions; written by Otto Franz Dziobek and published by Palala Press. This book was released on 2016-04-26 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : Otto Dziobek
Publisher :
ISBN 13 : 9781294961796
Total Pages : 308 pages
Book Rating : 4.9/5 (617 download)
Download or read book Mathematical Theories of Planetary Motions - Scholar's Choice Edition written by Otto Dziobek and published by . This book was released on 2015-02-08 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author : C. M. Linton
Publisher : Cambridge University Press
ISBN 13 : 1139453793
Total Pages : 530 pages
Book Rating : 4.1/5 (394 download)
Download or read book From Eudoxus to Einstein written by C. M. Linton and published by Cambridge University Press. This book was released on 2004-08-12 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since man first looked towards the heavens, a great deal of effort has been put into trying to predict and explain the motions of the sun, moon and planets. Developments in man's understanding have been closely linked to progress in the mathematical sciences. Whole new areas of mathematics, such as trigonometry, were developed to aid astronomical calculations, and on numerous occasions throughout history, breakthroughs in astronomy have only been possible because of progress in mathematics. This book describes the theories of planetary motion that have been developed through the ages, beginning with the homocentric spheres of Eudoxus and ending with Einstein's general theory of relativity. It emphasizes the interaction between progress in astronomy and in mathematics, showing how the two have been inextricably linked since Babylonian times. This valuable text is accessible to a wide audience, from amateur astronomers to professional historians of astronomy.
Author : Tan Arjun
Publisher : World Scientific Publishing Company
ISBN 13 : 9813101520
Total Pages : 282 pages
Book Rating : 4.8/5 (131 download)
Download or read book Theory Of Orbital Motion written by Tan Arjun and published by World Scientific Publishing Company. This book was released on 2008-01-04 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orbital motion is a vital subject which has engaged the greatest minds in mathematics and physics from Kepler to Einstein. It has gained in importance in the space age and touches every scientist in any field of space science. Still, there is almost a total dearth of books in this important field at the elementary and intermediate levels — at best a chapter in an undergraduate or graduate mechanics course.This book addresses that need, beginning with Kepler's laws of planetary motion followed by Newton's law of gravitation. Average and extremum values of dynamical variables are treated and the central force problem is formally discussed. The planetary problem in Cartesian and complex coordinates is tackled and examples of Keplerian motion in the solar system are also considered. The final part of the book is devoted to the motion of artificial Earth satellites and the modifications of their orbits by perturbing forces of various kinds.
Author : George Biddell Airy
Publisher :
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.A/5 ( download)
Download or read book Mathematical Tracts on the Lunar and Planetary Theories, the Figure of the Earth, Precession and Nutation, the Calculus of Variations, and the Undulatory Theory of Optics written by George Biddell Airy and published by . This book was released on 1831 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Isaac Todhunter
Publisher :
ISBN 13 :
Total Pages : 520 pages
Book Rating : 4.B/5 (1 download)
Download or read book A History of the Mathematical Theories of Attraction and the Figure of the Earth written by Isaac Todhunter and published by . This book was released on 1873 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Donald Benson
Publisher : Oxford University Press
ISBN 13 : 019989101X
Total Pages : 256 pages
Book Rating : 4.1/5 (998 download)
Download or read book The Ballet of the Planets written by Donald Benson and published by Oxford University Press. This book was released on 2012-03-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Ballet of the Planets unravels the beautiful mystery of planetary motion, revealing how our understanding of astronomy evolved from Archimedes and Ptolemy to Copernicus, Kepler, and Newton. Mathematician Donald Benson shows that ancient theories of planetary motion were based on the assumptions that the Earth was the center of the universe and the planets moved in a uniform circular motion. Since ancient astronomers noted that occasionally a planet would exhibit retrograde motion--would seem to reverse its direction and move briefly westward--they concluded that the planets moved in epicyclic curves, circles with smaller interior loops, similar to the patterns of a child's Spirograph. With the coming of the Copernican revolution, the retrograde motion was seen to be apparent rather than real, leading to the idea that the planets moved in ellipses. This laid the ground for Newton's great achievement--integrating the concepts of astronomy and mechanics--which revealed not only how the planets moved, but also why. Throughout, Benson focuses on naked-eye astronomy, which makes it easy for the novice to grasp the work of these pioneers of astronomy.
Author : Christopher M. Linton
Publisher :
ISBN 13 : 9780511214677
Total Pages : 516 pages
Book Rating : 4.2/5 (146 download)
Download or read book From Eudoxus to Einstein written by Christopher M. Linton and published by . This book was released on 2004 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since Babylonian times, a great deal of effort has been put into trying to predict and explain the motions of the sun, moon, and planets. This book describes the theories of planetary motion that have been developed through the ages, emphasizing the interaction between progress in astronomy and mathematics.
Author : Victor Guillemin
Publisher : American Mathematical Soc.
ISBN 13 : 082184184X
Total Pages : 88 pages
Book Rating : 4.8/5 (218 download)
Download or read book Variations on a Theme by Kepler written by Victor Guillemin and published by American Mathematical Soc.. This book was released on 2006 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the Colloquium Lectures presented by Shlomo Sternberg in 1990. The authors delve into the mysterious role that groups, especially Lie groups, play in revealing the laws of nature by focusing on the familiar example of Kepler motion: the motion of a planet under the attraction of the sun according to Kepler's laws. Newton realized that Kepler's second law--that equal areas are swept out in equal times--has to do with the fact that the force is directed radially to the sun. Kepler's second law is really the assertion of the conservation of angular momentum, reflecting the rotational symmetry of the system about the origin of the force. In today's language, we would say that the group $O(3)$ (the orthogonal group in three dimensions) is responsible for Kepler's second law. By the end of the nineteenth century, the inverse square law of attraction was seen to have $O(4)$ symmetry (where $O(4)$ acts on a portion of the six-dimensional phase space of the planet). Even larger groups h The remainder of the book is aimed at specialists.It begins with a demonstration that the Kepler problem and the hydrogen atom exhibit $O(4)$ symmetry and that the form of this symmetry determines the inverse square law in classical mechanics and the spectrum of the hydrogen atom in quantum mechanics. The space of regularized elliptical motions of the Kepler problem (also known as the Kepler manifold) plays a central role in this book. The last portion of the book studies the various cosmological models in this same conformal class (and having varying isometry groups) from the viewpoint of projective geometry. The computation of the hydrogen spectrum provides an illustration of the principle that enlarging the phase space can simplify the equations of motion in the classical setting and aid in the quantization problem in the quantum setting. The authors provide a short summary of the homological quantization of constraints and a list of recent applications to many interesting finite-dimensional set
Author : Henri Poincaré
Publisher : Springer
ISBN 13 : 3319528998
Total Pages : 265 pages
Book Rating : 4.3/5 (195 download)
Download or read book The Three-Body Problem and the Equations of Dynamics written by Henri Poincaré and published by Springer. This book was released on 2017-05-11 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
