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Analytical and Numerical Methods of Celestial Mechanics

1967 Science
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Release : 1967
Genre : Science
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Book Synopsis Analytical and Numerical Methods of Celestial Mechanics by : Gleb Aleksandrovich Chebotarev

Download or read book Analytical and Numerical Methods of Celestial Mechanics written by Gleb Aleksandrovich Chebotarev. This book was released on 1967. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Analytical and numerical methods of celestial mechanics

1967
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Release : 1967
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Analytical and numerical methods of celestial mechanics by : G.A. Chebotarev

Download or read book Analytical and numerical methods of celestial mechanics written by G.A. Chebotarev. This book was released on 1967. Available in PDF, EPUB and Kindle. Book excerpt:

Analytical Techniques of Celestial Mechanics

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 548/5 ( reviews)

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Book Synopsis Analytical Techniques of Celestial Mechanics by : Victor A. Brumberg

Download or read book Analytical Techniques of Celestial Mechanics written by Victor A. Brumberg. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Methods of Celestial Mechanics

2005-11-20 Science
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Release : 2005-11-20
Genre : Science
Kind : eBook
Book Rating : 707/5 ( reviews)

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Book Synopsis Methods of Celestial Mechanics by : Gerhard Beutler

Download or read book Methods of Celestial Mechanics written by Gerhard Beutler. This book was released on 2005-11-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analytical Techniques of Celestial Mechanics

2011-12-22 Science
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Release : 2011-12-22
Genre : Science
Kind : eBook
Book Rating : 551/5 ( reviews)

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Book Synopsis Analytical Techniques of Celestial Mechanics by : Victor Brumberg

Download or read book Analytical Techniques of Celestial Mechanics written by Victor Brumberg. This book was released on 2011-12-22. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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