Methods of Computer Algebra and the Many Bodies Algebra

Details Methods of Computer Algebra and the Many Bodies Algebra Methods of Computer Algebra and the Many Bodies Algebra

Jul 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001camb.book.....g&link_type=abstract

Russian University of peoples friendship (Russian UDN), Moscow, 2001. 215 pp. (Russian title: Metody komp'uternoi algebry v prob

Other

Celestial Mechanics, Many Bodies Problem, Restricted Many Bodies Problem, Homographic Solutions, Lyapunov Stability, Kam-Theory, Birkhoff'S Normalisation Method, Computer Algebra

Scientific paper

The monograph concerns with qualitative methoids in n>3 bodies restricted problems by methods of computer algebra. The book consists of 4 chapters. The first two chapters contain the theory of homographic solutions in the many bodies problem. Other two chapters concern with Lyapunov stability of new solutions of differential equations based on KAM -theory. The computer method of the Birkhoff's normalisation method of the hamiltonians for the restricted 4, 5, 6, and 7 bodies is presented in detail.
The book is designed for scientific researchers, doctorants, and students of the Physical-Mathematical departments. It could be used as well in University courses of qualitative theory of differential equations.

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