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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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