Author: Craig A. Stephenson
Publisher: American Mathematical Soc.
ISBN: 1470456710
Category : Education
Languages : en
Pages : 269
Book Description
Owing to its simple formulation and intractable nature, along with its application to the lunar theory, the three-body problem has since it was first studied by Newton in the Principia attracted the attention of many of the world's most gifted mathematicians and astronomers. Two of these, Euler and Lagrange, discovered the problem's first periodic solutions. However, it was not until Hill's discovery in the late 1870s of the variational orbit that the importance of the periodic solutions was fully recognized, most notably by Poincaré, but also by others such as Sir George Darwin. The book begins with a detailed description of the early history of the three-body problem and its periodic solutions, with chapters dedicated to the pioneering work of Hill, Poincaré, and Darwin. This is followed by the first in-depth account of the contribution to the subject by the mathematical astronomer Forest Ray Moulton and his research students at the University of Chicago. The author reveals how Moulton's Periodic Orbits, published in 1920 and running to some 500 pages, arose from Moulton's ambitious goal of creating an entirely new lunar theory. The methods Moulton developed in the pursuit of this goal are described and an examination is made of both the reception of his work and his legacy for future generations of researchers.
Periodic Orbits: F. R. Moulton’s Quest for a New Lunar Theory
Author: Craig A. Stephenson
Publisher: American Mathematical Soc.
ISBN: 1470456710
Category : Education
Languages : en
Pages : 269
Book Description
Owing to its simple formulation and intractable nature, along with its application to the lunar theory, the three-body problem has since it was first studied by Newton in the Principia attracted the attention of many of the world's most gifted mathematicians and astronomers. Two of these, Euler and Lagrange, discovered the problem's first periodic solutions. However, it was not until Hill's discovery in the late 1870s of the variational orbit that the importance of the periodic solutions was fully recognized, most notably by Poincaré, but also by others such as Sir George Darwin. The book begins with a detailed description of the early history of the three-body problem and its periodic solutions, with chapters dedicated to the pioneering work of Hill, Poincaré, and Darwin. This is followed by the first in-depth account of the contribution to the subject by the mathematical astronomer Forest Ray Moulton and his research students at the University of Chicago. The author reveals how Moulton's Periodic Orbits, published in 1920 and running to some 500 pages, arose from Moulton's ambitious goal of creating an entirely new lunar theory. The methods Moulton developed in the pursuit of this goal are described and an examination is made of both the reception of his work and his legacy for future generations of researchers.
Publisher: American Mathematical Soc.
ISBN: 1470456710
Category : Education
Languages : en
Pages : 269
Book Description
Owing to its simple formulation and intractable nature, along with its application to the lunar theory, the three-body problem has since it was first studied by Newton in the Principia attracted the attention of many of the world's most gifted mathematicians and astronomers. Two of these, Euler and Lagrange, discovered the problem's first periodic solutions. However, it was not until Hill's discovery in the late 1870s of the variational orbit that the importance of the periodic solutions was fully recognized, most notably by Poincaré, but also by others such as Sir George Darwin. The book begins with a detailed description of the early history of the three-body problem and its periodic solutions, with chapters dedicated to the pioneering work of Hill, Poincaré, and Darwin. This is followed by the first in-depth account of the contribution to the subject by the mathematical astronomer Forest Ray Moulton and his research students at the University of Chicago. The author reveals how Moulton's Periodic Orbits, published in 1920 and running to some 500 pages, arose from Moulton's ambitious goal of creating an entirely new lunar theory. The methods Moulton developed in the pursuit of this goal are described and an examination is made of both the reception of his work and his legacy for future generations of researchers.
Max Dehn
Author: Jemma Lorenat
Publisher: American Mathematical Society
ISBN: 1470461064
Category : Mathematics
Languages : en
Pages : 292
Book Description
Max Dehn (1878?1952) is known to mathematicians today for his seminal contributions to geometry and topology?Dehn surgery, Dehn twists, the Dehn invariant, etc. He is also remembered as the first mathematician to solve one of Hilbert?s famous problems. However, Dehn's influence as a scholar and teacher extended far beyond his mathematics. Dehn also lived a remarkable life, described in this book in three phases. The first phase focuses on his early career as one of David Hilbert?s most gifted students. The second, after World War I, treats his time in Frankfurt where he led an intimate community of mathematicians in explorations of historical texts. The final phase, after 1938, concerns his flight from Nazi Germany to Scandinavia and eventually to the United States where, after various teaching experiences, the Dehns settled at iconic Black Mountain College. This book is a collection of essays written by mathematicians and historians of art and science. It treats Dehn?s mathematics and its influence, his journeys, and his remarkable engagement in history and the arts. A great deal of the information found in this book has never before been published.
Publisher: American Mathematical Society
ISBN: 1470461064
Category : Mathematics
Languages : en
Pages : 292
Book Description
Max Dehn (1878?1952) is known to mathematicians today for his seminal contributions to geometry and topology?Dehn surgery, Dehn twists, the Dehn invariant, etc. He is also remembered as the first mathematician to solve one of Hilbert?s famous problems. However, Dehn's influence as a scholar and teacher extended far beyond his mathematics. Dehn also lived a remarkable life, described in this book in three phases. The first phase focuses on his early career as one of David Hilbert?s most gifted students. The second, after World War I, treats his time in Frankfurt where he led an intimate community of mathematicians in explorations of historical texts. The final phase, after 1938, concerns his flight from Nazi Germany to Scandinavia and eventually to the United States where, after various teaching experiences, the Dehns settled at iconic Black Mountain College. This book is a collection of essays written by mathematicians and historians of art and science. It treats Dehn?s mathematics and its influence, his journeys, and his remarkable engagement in history and the arts. A great deal of the information found in this book has never before been published.
Theory of Interplanetary Flights
Author: Grigor A. Gurzadyan
Publisher: CRC Press
ISBN: 1000116719
Category : Technology & Engineering
Languages : en
Pages : 394
Book Description
This monograph contains an overview of classical dynamics, providing a solid basis on which to build an understanding of the theory of interplanetary flights. The treatment of the topic is based on both historical and topical perspectives. The theoretical development is illustrated with a number of practical examples, bringing to bear the author's experience gained from working on the Soviet space programme. Many examples are taken from current space missions - new data is included on the Shoemaker-Levy 9 comet, the flight of ULYSSES over the Solar poles and the Voyager's tour of the solar system.
Publisher: CRC Press
ISBN: 1000116719
Category : Technology & Engineering
Languages : en
Pages : 394
Book Description
This monograph contains an overview of classical dynamics, providing a solid basis on which to build an understanding of the theory of interplanetary flights. The treatment of the topic is based on both historical and topical perspectives. The theoretical development is illustrated with a number of practical examples, bringing to bear the author's experience gained from working on the Soviet space programme. Many examples are taken from current space missions - new data is included on the Shoemaker-Levy 9 comet, the flight of ULYSSES over the Solar poles and the Voyager's tour of the solar system.
History of Astronomy
Author: John Lankford
Publisher: Routledge
ISBN: 1136508279
Category : History
Languages : en
Pages : 615
Book Description
This Encyclopedia traces the history of the oldest science from the ancient world to the space age in over 300 entries by leading experts.
Publisher: Routledge
ISBN: 1136508279
Category : History
Languages : en
Pages : 615
Book Description
This Encyclopedia traces the history of the oldest science from the ancient world to the space age in over 300 entries by leading experts.
Design Guide to Orbital Flight
Author: Martin Company
Publisher:
ISBN:
Category : Artificial satellites
Languages : en
Pages : 960
Book Description
Publisher:
ISBN:
Category : Artificial satellites
Languages : en
Pages : 960
Book Description
U.S. Government Research & Development Reports
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1198
Book Description
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1198
Book Description
U. S. Government Research and Development Reports
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1198
Book Description
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1198
Book Description
Government Reports Announcements
Author:
Publisher:
ISBN:
Category : Technology
Languages : en
Pages : 756
Book Description
Publisher:
ISBN:
Category : Technology
Languages : en
Pages : 756
Book Description
Bibliography of Scientific and Industrial Reports
Author:
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 1212
Book Description
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 1212
Book Description
Government Reports Announcements & Index
Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1212
Book Description
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1212
Book Description