The Motion Of The Moon As Computed By The Method Of Hill Brown And Eckert
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The Motion Of The Moon As Computed By The Method Of Hill Brown And Eckert
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Author : Martin C. Gutzwiller
language : en
Publisher:
Release Date : 1986
The Motion Of The Moon As Computed By The Method Of Hill Brown And Eckert written by Martin C. Gutzwiller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Lunar theory categories.
Hamiltonian Dynamical Systems
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Author : H.S. Dumas
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Hamiltonian Dynamical Systems written by H.S. Dumas 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 2012-12-06 with Mathematics categories.
From its origins nearly two centuries ago, Hamiltonian dynamics has grown to embrace the physics of nearly all systems that evolve without dissipation, as well as a number of branches of mathematics, some of which were literally created along the way. This volume contains the proceedings of the International Conference on Hamiltonian Dynamical Systems; its contents reflect the wide scope and increasing influence of Hamiltonian methods, with contributions from a whole spectrum of researchers in mathematics and physics from more than half a dozen countries, as well as several researchers in the history of science. With the inclusion of several historical articles, this volume is not only a slice of state-of-the-art methodology in Hamiltonian dynamics, but also a slice of the bigger picture in which that methodology is imbedded.
Satellite Equivalence Orbits
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Author : Ernst Friedrich Maria Jochim
language : en
Publisher: Springer Nature
Release Date : 2024-12-04
Satellite Equivalence Orbits written by Ernst Friedrich Maria Jochim and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-04 with Science categories.
This book presents the essential characteristics of the different satellite motions. Satellite motions can be classified as anomalistic, draconitic, tropical, Hansen-, Kepler-, meridional, Sun-synodical, Moon-synodical motion, depending on the relevant reference point. When two of these types of motions (in some cases even more than two) are coupled, satellite orbits are obtained, which are called equivalence orbits in this book. They share the special properties of the different coupled motions and are therefore of particular interest in the selection of special satellite orbits. In the book the author calculates mean equivalence orbits with secular perturbation formulas, as well as true equivalence orbits considering a complete orbit model including periodic motion effects. Some of the equivalence orbits can be determined unambiguously and with extremely high accuracy, they are stable in the long term. Others can only be found with low accuracy and reduced stability. The author investigates all possible combinations and the associated general equations of condition are derived in each case. Some well-known families of satellite orbits, such as the Sun-synchronous orbits, can be interpreted as mean equivalence orbits. The study of their stability is of great interest in orbit mechanics. Special applications and numerous numerical examples, graphical representations of all possible ranges of the Kepler elements, and detailed studies of the stability of particularly important equivalence orbits are carried out using the Brouwer orbit model as well as the modification by Eckstein. This lays the foundation for possible refinements using arbitrary extended orbital models and for possibly required orbital corrections. Numerous problems are to deepen the treated topics and/or to stimulate for further investigations. The book will be of interest to Astrodynamics and Aerospace Engineers as well as graduate students studying satellite orbits.
The Hill Brown Theory Of The Moon S Motion
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Author : Curtis Wilson
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-03
The Hill Brown Theory Of The Moon S Motion written by Curtis Wilson 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 2010-06-03 with Mathematics categories.
This book, in three parts, describes three phases in the development of the modern theory and calculation of the Moon's motion. Part I explains the crisis in lunar theory in the 1870s that led G.W. Hill to lay a new foundation for an analytic solution, a preliminary orbit he called the "variational curve." Part II is devoted to E.W. Brown's completion of the new theory as a series of successive perturbations of Hill's variational curve. Part III describes the revolutionary developments in time-measurement and the determination of Earth-Moon and Earth-planet distances that led to the replacement of the Hill–Brown theory in 1984.
Special Functions
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Author : Sergeĭ I︠U︡rʹevich Slavi︠a︡nov
language : en
Publisher: OUP Oxford
Release Date : 2000
Special Functions written by Sergeĭ I︠U︡rʹevich Slavi︠a︡nov and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
The subject of this book is the theory of special functions, not considered as a list of functions exhibiting a certain range of properties, but based on the unified study of singularities of second-order ordinary differential equations in the complex domain. The number and characteristics of the singularities serve as a basis for classification of each individual special function. Links between linear special functions (as solutions of linear second-order equations), and non-linear special functions (as solutions of Painlevé equations) are presented as a basic and new result. Many applications to different areas of physics are shown and discussed. The book is written from a practical point of view and will address all those scientists whose work involves applications of mathematical methods. Lecturers, graduate students and researchers will find this a valuable text and reference work.
Astronomical Papers Prepared For The Use Of The American Ephemeris And Nautical Almanac
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Author :
language : en
Publisher:
Release Date :
Astronomical Papers Prepared For The Use Of The American Ephemeris And Nautical Almanac written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Astronomy categories.
Astronomical Papers Prepared For The Use Of The American Ephemeris And Nautical Almanac
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Author : United States Naval Observatory. Nautical Almanac Office
language : en
Publisher:
Release Date : 1986
Astronomical Papers Prepared For The Use Of The American Ephemeris And Nautical Almanac written by United States Naval Observatory. Nautical Almanac Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Astronomy categories.
The Mathematica Guidebook For Graphics
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Author : Michael Trott
language : en
Publisher: Springer
Release Date : 2017-02-11
The Mathematica Guidebook For Graphics written by Michael Trott and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-11 with Computers categories.
Mathematica is today’s most advanced technical computing system. It features a rich programming environment, two-and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematical functions using state-of-the-art algorithms. Combined with a user-friendly interface, and a complete mathematical typesetting system, Mathematica offers an intuitive, easy-to-handle environment of great power and utility. The Mathematica Guidebook for Graphics provides a comprehensive step-by-step development of how to use Mathematica to visualize functions and data, manipulate graphics, and optimize their appearance. Two-dimensional graphics, contour plots, plots of surfaces, free-form three-dimensional surfaces, and animations are the core topics. Hundreds of detailed examples and programs show a large variety of visualization techniques, algorithms, methods, and tricks. These tools allow the reader to create virtually any possible graphic, from simple curves to scientific visualizations and artistic images and logos. Mathematica graphics functions are discussed in detail, explained in numerous examples, and put to work in programs that are all contained on the accompanying DVD. Unique Features: * Step-by-step introductions to all of Mathematica graphics capabilities * Comprehensive presentation of two-and three-dimensional graphics primitives and directives, as well as plotting capabilities for functions and data * Hundreds of unique and innovative scientific visualizations and artistic images * Website for book with additional materials and updates: http://www.MathematicaGuideBooks.org * Accompanying DVD contains all material as an electronic book with complete, executable Mathematica versions 4 and 5 compatible code and programs, rendered color graphics, and animations Michael Trott is a symbolic computation and computer graphics expert. He holds a Ph.D. in theoretical physics and joined the R&D team at Wolfram Research in 1994, the creators of Mathematica. Since 1998, he has been leading development of the Wolfram Functions Site http://functions.wolfram.com, which currently features more that 80,000 formulas and identities, and thousands of visualizations.
The Mathematica Guidebook For Numerics
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Author : Michael Trott
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-10-27
The Mathematica Guidebook For Numerics written by Michael Trott 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 2006-10-27 with Computers categories.
Provides the reader with working knowledge of Mathematica and key aspects of Mathematica's numerical capabilities needed to deal with virtually any "real life" problem Clear organization, complete topic coverage, and an accessible writing style for both novices and experts Website for book with additional materials: http://www.MathematicaGuideBooks.org Accompanying DVD containing all materials as an electronic book with complete, executable Mathematica 5.1 compatible code and programs, rendered color graphics, and animations
The Mathematica Guidebook For Programming
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Author : Michael Trott
language : en
Publisher: Springer
Release Date : 2013-12-21
The Mathematica Guidebook For Programming written by Michael Trott and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-21 with Mathematics categories.
Mathematica is today’s most advanced technical computing system. It features a rich programming environment, two-and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematical functions using state-of-the-art algorithms. Combined with a user-friendly interface, and a complete mathematical typesetting system, Mathematica offers an intuitive, easy-to-handle environment of great power and utility. The Mathematica Guidebook for Programming provides a comprehensive, step-by-step development of Mathematica programming capabilities and contains an enormous collection of examples and worked exercises. It guides the reader to become fluent in the structure of Mathematica expressions, expression evaluation, pure and named functions, and in procedural, rule-based, and functional programming constructs. Each Mathematica function is discussed in detail, explained in numerous examples. The programs for this book are available to download at the link below: http://extras.springer.com Unique Features: * Step-by-step presentation of Mathematica functions assuming no prior Mathematica programming experience * Clear organization, complete topic coverage, and an accessible writing style for both novices and experts * Detailed discussion of procedural, rule-based, and functional programming * Hundreds of worked examples, illustrations, programs, and fully worked self-study exercises for understanding concepts and learning how to solve real-life problems * Website for book with additional materials: http://www.MathematicaGuideBooks.org Michael Trott is a symbolic computation and computer graphics expert. He holds a Ph.D. in theoretical physics and joined the R&D team at Wolfram Research in 1994, the creators of Mathematica. Since 1998, he has been leading development of the Wolfram Functions Site http://functions.wolfram.com, which currently features more that 80,000 formulas and identities, and thousands of visualizations.