Analytical And Numerical Methods Of Celestial Mechanics

Author : Gleb Aleksandrovich Chebotarev
Publisher : Unknown
Page : 362 pages
File Size : 46,6 Mb
Release : 1967
Category : Science
ISBN : UOM:39015008084579

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Analytical and Numerical Methods of Celestial Mechanics by Gleb Aleksandrovich Chebotarev Pdf

The stated purpose of this book is to fill a gap in the Russian-language astronomical literature, which had lacked a fundamental textbook on celestial mechanics. The treatment is limited to detailed step-by-step analysis of six methods on which present-day theories of planetary, cometary, and satellite motion are based, beginning with the differential equations and culminating in a comparison of theory with observations. These are the Laplace-Newcomb method, the Hill planetary method, the method of variation of arbitrary constants, the Hill lunar method, and the periodic-orbit and Cowell methods. (Author).

Author : Victor A. Brumberg
Publisher : Springer Science & Business Media
Page : 243 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642794544

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Analytical Techniques of Celestial Mechanics by Victor A. Brumberg Pdf

The aim of this book is to describe contemporary analytical and semi analytical techniques for solving typical celestial-mechanics problems. The word "techniques" is used here as a term intermediate between "methods" and "recipes". One often conceives some method of solution of a problem as a general mathematical tool, while not taking much care with its computa tional realization. On the other hand, the word "recipes" may nowadays be understood in the sense of the well-known book Numerical Recipes (Press et al. , 1992), where it means both algorithms and their specific program realiza tion in Fortran, C or Pascal. Analytical recipes imply the use of some general or specialized computer algebra system (CAS). The number of different CAS currently employed in celestial mechanics is too large to specify just a few of the most preferable systems. Besides, it seems reasonable not to mix the essence of any algorithm with its particular program implementation. For these reasons, the analytical techniques of this book are to be regarded as algorithms to be implemented in different ways depending on the hardware and software available. The book was preceded by Analytical Algorithms of Celestial Mechanics by the same author, published in Russian in 1980. In spite of there being much common between these books, the present one is in fact a new mono graph.

Author : Gerhard Beutler
Publisher : Springer Science & Business Media
Page : 473 pages
File Size : 40,6 Mb
Release : 2005-11-20
Category : Science
ISBN : 9783540268703

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Methods of Celestial Mechanics by Gerhard Beutler Pdf

G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students as well as an excellent reference for practitioners. The first volume gives a thorough treatment of celestial mechanics and presents all the necessary mathematical details that a professional would need. The reader will appreciate the well-written chapters on numerical solution techniques for ordinary differential equations, as well as that on orbit determination. In the second volume applications to the rotation of earth and moon, to artificial earth satellites and to the planetary system are presented. The author addresses all aspects that are of importance in high-tech applications, such as the detailed gravitational fields of all planets and the earth, the oblateness of the earth, the radiation pressure and the atmospheric drag. The concluding part of this monumental treatise explains and details state-of-the-art professional and thoroughly-tested software for celestial mechanics.

Author : Philippe G. Ciarlet
Publisher : Elsevier
Page : 650 pages
File Size : 50,6 Mb
Release : 2002-01-03
Category : Science
ISBN : 0444509062

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Handbook of Numerical Analysis by Philippe G. Ciarlet Pdf

This series of volumes covers all the major aspects of numerical analysis, serving as the basic reference work on the subject. Each volume concentrates on one to three particular topics. Each article, written by an expert, is an in-depth survey, reflecting up-to-date trends in the field, and is essentially self-contained. The handbook will cover the basic methods of numerical analysis, under the following general headings: solution of equations in Rn; finite difference methods; finite element methods; techniques of scientific computing; optimization theory; and systems science. It will also cover the numerical solution of actual problems of contemporary interest in applied mathematics, under the following headings: numerical methods for fluids; numerical methods for solids; and specific applications - including meteorology, seismology, petroleum mechanics and celestial mechanics.

Author : Daniel Benest,Claude Froeschlé
Publisher : Atlantica Séguier Frontières
Page : 526 pages
File Size : 47,6 Mb
Release : 1992
Category : Science
ISBN : 2863320912

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Modern Methods in Celestial Mechanics by Daniel Benest,Claude Froeschlé Pdf

Author : Gerhard Beutler
Publisher : Springer
Page : 466 pages
File Size : 49,6 Mb
Release : 2009-09-02
Category : Science
ISBN : 3540829172

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Methods of Celestial Mechanics by Gerhard Beutler Pdf

G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students as well as an excellent reference for practitioners. The first volume gives a thorough treatment of celestial mechanics and presents all the necessary mathematical details that a professional would need. The reader will appreciate the well-written chapters on numerical solution techniques for ordinary differential equations, as well as that on orbit determination. In the second volume applications to the rotation of earth and moon, to artificial earth satellites and to the planetary system are presented. The author addresses all aspects that are of importance in high-tech applications, such as the detailed gravitational fields of all planets and the earth, the oblateness of the earth, the radiation pressure and the atmospheric drag. The concluding part of this monumental treatise explains and details state-of-the-art professional and thoroughly-tested software for celestial mechanics.

Author : Victor Brumberg
Publisher : Springer
Page : 236 pages
File Size : 41,5 Mb
Release : 2011-12-22
Category : Science
ISBN : 3642794556

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Analytical Techniques of Celestial Mechanics by Victor Brumberg Pdf

The aim of this book is to describe contemporary analytical and semi analytical techniques for solving typical celestial-mechanics problems. The word "techniques" is used here as a term intermediate between "methods" and "recipes". One often conceives some method of solution of a problem as a general mathematical tool, while not taking much care with its computa tional realization. On the other hand, the word "recipes" may nowadays be understood in the sense of the well-known book Numerical Recipes (Press et al. , 1992), where it means both algorithms and their specific program realiza tion in Fortran, C or Pascal. Analytical recipes imply the use of some general or specialized computer algebra system (CAS). The number of different CAS currently employed in celestial mechanics is too large to specify just a few of the most preferable systems. Besides, it seems reasonable not to mix the essence of any algorithm with its particular program implementation. For these reasons, the analytical techniques of this book are to be regarded as algorithms to be implemented in different ways depending on the hardware and software available. The book was preceded by Analytical Algorithms of Celestial Mechanics by the same author, published in Russian in 1980. In spite of there being much common between these books, the present one is in fact a new mono graph.

Author : NASA-University Conference on the Science and Technology of Space Exploration, Chicago, 1962
Publisher : Unknown
Page : 52 pages
File Size : 45,9 Mb
Release : 1963
Category : Astrodynamics
ISBN : STANFORD:36105024705233

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Celestial Mechanics and Space Flight Analysis by NASA-University Conference on the Science and Technology of Space Exploration, Chicago, 1962 Pdf

Author : Philippe G. Ciarlet
Publisher : Elsevier
Page : 650 pages
File Size : 40,9 Mb
Release : 2002-01-03
Category : Science
ISBN : 0444509062

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Handbook of Numerical Analysis by Philippe G. Ciarlet Pdf

This series of volumes covers all the major aspects of numerical analysis, serving as the basic reference work on the subject. Each volume concentrates on one to three particular topics. Each article, written by an expert, is an in-depth survey, reflecting up-to-date trends in the field, and is essentially self-contained. The handbook will cover the basic methods of numerical analysis, under the following general headings: solution of equations in Rn; finite difference methods; finite element methods; techniques of scientific computing; optimization theory; and systems science. It will also cover the numerical solution of actual problems of contemporary interest in applied mathematics, under the following headings: numerical methods for fluids; numerical methods for solids; and specific applications - including meteorology, seismology, petroleum mechanics and celestial mechanics.

Author : Gerhard Beutler
Publisher : Springer Science & Business Media
Page : 452 pages
File Size : 48,5 Mb
Release : 2005-11-21
Category : Science
ISBN : 9783540265122

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Methods of Celestial Mechanics by Gerhard Beutler Pdf

G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students as well as an excellent reference for practitioners. The first volume gives a thorough treatment of celestial mechanics and presents all the necessary mathematical details that a professional would need. The reader will appreciate the well-written chapters on numerical solution techniques for ordinary differential equations, as well as that on orbit determination. In the second volume applications to the rotation of earth and moon, to artificial earth satellites and to the planetary system are presented. The author addresses all aspects that are of importance in high-tech applications, such as the detailed gravitational fields of all planets and the earth, the oblateness of the earth, the radiation pressure and the atmospheric drag. The concluding part of this monumental treatise explains and details state-of-the-art professional and thoroughly-tested software for celestial mechanics.

Author : Philippe G. Ciarlet,Jacques-Louis Lions
Publisher : Gulf Professional Publishing
Page : 698 pages
File Size : 47,5 Mb
Release : 1990
Category : Mathematics
ISBN : 0444509062

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Handbook of Numerical Analysis by Philippe G. Ciarlet,Jacques-Louis Lions Pdf

Includes following subjects: Solution of equations in Rn, Finite difference methods, Finite element methods, Techniques of scientific computing, Optimization theory and systems science, Numerical methods for fluids, Numerical methods for solids, Specific applications

Author : Nikolay Emelyanov
Publisher : Elsevier
Page : 520 pages
File Size : 43,7 Mb
Release : 2020-10-16
Category : Science
ISBN : 9780128227121

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The Dynamics of Natural Satellites of the Planets by Nikolay Emelyanov Pdf

The Dynamics of Natural Satellites of the Planets is an accessible reference for understanding the celestial mechanics of planetary moons through the lens of both theory and observation. Based on decades of research by the author, the book utilizes state-of-the-art observations of the natural satellites in the solar system to establish models, measurements and calculations to better understand the theory of the satellite movement and dynamics. It presents an extensive set of study methods and results on the motion of natural satellites of the planets and includes reviews and references to related publication for further explanation. By relating observations to numerical theory, the book serves as a quick and comprehensive reference for applying the theory of orbital dynamics to observational data on orbits and physical properties of the natural satellites in order to formulate state-of-the-art explanations and models, particularly for determining the parameters of satellite motion. Combines astronomy and celestial mechanics, providing astrometric data from observations to inform methods and models for predicting natural satellite dynamics Includes both theory and observation in one place and presents new models based on observations Organized into small sections, each providing specific measurements, calculations or models, making it a quick and comprehensive reference

Author : I.M. Wytrzyszczak,J.H. Lieske,R.A. Feldman
Publisher : Springer Science & Business Media
Page : 600 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401155342

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Dynamics and Astrometry of Natural and Artificial Celestial Bodies by I.M. Wytrzyszczak,J.H. Lieske,R.A. Feldman Pdf

IAU Colloquium 165, Dynamics and Astrometry of Natural and Artificial Celestial Bodies, was held in Poznan, Poland, in July 1996, bringing together over 200 scientists from 27 countries who discussed their work in 179 oral and poster presentations. The present volume contains 83 of the papers presented at the meeting. The meeting brought together specialists from diverse fields who focused on the very close collaboration between dynamics and astrometry, where one discipline contributes to the progress of the other. The oral sessions were organized into general categories pertaining to: solar system dynamics; new observational techniques, catalogues, and astrometry; dynamics and observational problems of artificial satellites and space debris; rotation of solar system objects; reference systems and astronomical standards; new mathematical techniques; and three all-day poster sessions. This volume is divided into seven parts, comprising 83 contributions, a list of participants and an index.

Author : Eduard L. Stiefel,Gerhard Scheifele
Publisher : Unknown
Page : 301 pages
File Size : 43,9 Mb
Release : 1971
Category : Celestial mechanics
ISBN : OCLC:278001733

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Linear and Regular Celestial Mechanics by Eduard L. Stiefel,Gerhard Scheifele Pdf

Author : Anonim
Publisher : Unknown
Page : 60 pages
File Size : 40,9 Mb
Release : 1962
Category : Electronic
ISBN : NASA:31769000652134

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CELESTIAL MECHANICS AND SPACE FLIGHT ANALYSIS by Anonim Pdf