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Application of Computer Algebra Methods to Some Problems of Theoretical and Applied Celestial Mechanics

In: Computer Algebra in Scientific Computing

Author

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  • Akmal Vakhidov

    (Technical University Dresden,, Lohrmann Observatory)

Abstract

Applications of computer algebra methods to some problems of dynamical astronomy are described. It is shown, how with the help of computer algebra it is possible to solve different important problems of applied celestial mechanics: in particular, to develop efficient analytical and semianalytical theories of motion of celestial bodies, to construct efficient algorithms for computation of some special functions of celestial mechanics, to solve some problems of asteroid dynamics. Possibilities to use computer-algebraic methods for efficient solution of other topical problems of dynamics of Hamiltonian systems are discussed.

Suggested Citation

  • Akmal Vakhidov, 2000. "Application of Computer Algebra Methods to Some Problems of Theoretical and Applied Celestial Mechanics," Springer Books, in: Victor G. Ganzha & Ernst W. Mayr & Evgenii V. Vorozhtsov (ed.), Computer Algebra in Scientific Computing, pages 383-393, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-57201-2_29
    DOI: 10.1007/978-3-642-57201-2_29
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