NASA Scientific and Technical Reports

NASA Scientific and Technical Reports
Author: United States. National Aeronautics and Space Administration Scientific and Technical Information Division
Publisher:
Total Pages: 428
Release: 1968
Genre: Aeronautics
ISBN:

Analytical Techniques of Celestial Mechanics

Analytical Techniques of Celestial Mechanics
Author: Victor A. Brumberg
Publisher: Springer Science & Business Media
Total Pages: 243
Release: 2012-12-06
Genre: Science
ISBN: 3642794548

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.

NASA Contractor Report

NASA Contractor Report
Author: United States. National Aeronautics and Space Administration
Publisher:
Total Pages: 750
Release: 1967
Genre: Astronautics
ISBN:

Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: Theory and Applications

Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: Theory and Applications
Author: Alessandra Celletti
Publisher: Springer Science & Business Media
Total Pages: 434
Release: 2007-02-02
Genre: Science
ISBN: 1402053258

The book provides the most recent advances of Celestial Mechanics, as provided by high-level scientists working in this field. It covers theoretical investigations as well as applications to concrete problems. Outstanding review papers are included in the book and they introduce the reader to leading subjects, like the variational approaches to find periodic orbits and the space debris polluting the circumterrestrial space.