Integrable Systems in Celestial Mechanics by Diarmuid Ó'mathIntegrable Systems in Celestial Mechanics by Diarmuid Ó'math

Integrable Systems in Celestial Mechanics

byDiarmuid Ó'math

Hardcover | August 12, 2008

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Direct involvement with the subject area of the present work dates from my years with NASA at its Electronics Research Center (ERC) in Cambridge, M- sachusetts, in the 1960s. However, my approach to the problems of mathem- ical physics had been shaped earlier in my time as a graduate student in the Mathematics Department at MIT. The passage of time tends merely to further enhance my appreciation of that graduate study program, where I had the b- e?t of the intensive courses from Norman Levinson, C.-C. Lin, Jurgen ¨ Moser, and Eric Reissner. In the case of Reissner, my years as research assistant were a formative apprenticeship - one could say on the "shop-?oor". The stimulus to organize my convictions in book form came from my friends at Birkh¨ auser Boston, and I wish to thank Ann Kostant for providing me with the opportunity and support in producing it; a special thanks goes to Edwin Beschler, formerly of Birkh¨ auser, for his consistent encouragement over the years. In the course of writing, I had the good-humored support and invaluable help from my one-time teacher and long-time friend, Vincent Hart. He read each chapter as it was written and his sharp eye picked up my many slips and errors. More signi?cantly, his persistent questioning on the original form of Chapter 3 forced me to address all parameter ranges and provide solution forms to cover all possibilities for the case of negative energy.
Title:Integrable Systems in Celestial MechanicsFormat:HardcoverDimensions:234 pagesPublished:August 12, 2008Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0817640967

ISBN - 13:9780817640965

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Table of Contents

General Introduction.- Lagrangian Mechanics.- The Kepler Problem.- The Euler Problem I - Planar Case.- The Euler Problem II - Three-dimensional Case.- The Earth Satellite - General Analysis.- The Earth Satellite - Some Special Orbits.