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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 258, Pages 256–261 (Mi znsl1041)  
Symbolic computation of the averaged Hamiltonian, describing the motion of asteroids under the influence of major planets

I. V. Tupikova, A. A. Vakhidov

Technische Universität Dresden, Institut für Planetare Geodäsie Lohrmann-Observatorium
Full-text PDF (120 kB)
Abstract: The problem of developing a semianalytical theory of motion of minor planets is considered.The theory is constructed by means of Lie-series method using the Le Verrier expansions of planetary disturbing function. The averaging procedure is realized symbolically by means of computer algebra system MAPLE. The averaged Hamiltonian is used for symbolic computation of right parts of canonical differential equations of motion. These equations are integrated numerically by means of traditional numerical software.
Received: 10.06.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 108, Issue 6, Pages 1089–1093
DOI: https://doi.org/10.1023/A:1013552707968
Bibliographic databases:
UDC: 517
Language: English
Citation: I. V. Tupikova, A. A. Vakhidov, “Symbolic computation of the averaged Hamiltonian, describing the motion of asteroids under the influence of major planets”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part IV, Zap. Nauchn. Sem. POMI, 258, POMI, St. Petersburg, 1999, 256–261; J. Math. Sci. (New York), 108:6 (2002), 1089–1093
Citation in format AMSBIB
\Bibitem{TupVak99}
\by I.~V.~Tupikova, A.~A.~Vakhidov
\paper Symbolic computation of the averaged Hamiltonian, describing the motion of asteroids under the influence of major planets
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~IV
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 258
\pages 256--261
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1041}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1755830}
\zmath{https://zbmath.org/?q=an:1168.70310}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 108
\issue 6
\pages 1089--1093
\crossref{https://doi.org/10.1023/A:1013552707968}
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