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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2012, Issue 2(27), Pages 164–173
DOI: https://doi.org/10.14498/vsgtu1073 (Mi vsgtu1073) 		 
Calculus Mathematics

Research of efficiency of algorithms of method Everhart with high order of approximating formulas

A. A. Zausaev

Samara State Technical University, Samara, Russia
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DOI: https://doi.org/10.14498/vsgtu1073
Abstract: The modified algorithm for the numerical integration of the equations of celestial motion by the Everhart's method is developed. The study of the effectiveness of the algorithm for approximating high-order formulas is carried. High efficiency of the method is shown on the example of joint integration of the equations of motion of major planets, the Moon, the Sun and the small bodies of Solar system.
Keywords: Everhart's method, numerical integration, orbit, small bodies of Solar system.
Original article submitted 02/V/2012
revision submitted – 21/V/2012
Bibliographic databases:
Document Type: Article
UDC: 519.653:521.182
MSC: Primary 85-08; Secondary 70M20, 65L99
Language: Russian
Citation: A. A. Zausaev, “Research of efficiency of algorithms of method Everhart with high order of approximating formulas”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(27) (2012), 164–173
Citation in format AMSBIB
\Bibitem{Zau12}
\by A.~A.~Zausaev
\paper Research of efficiency of algorithms of method Everhart with high order of approximating formulas
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2012
\vol 2(27)
\pages 164--173
\mathnet{http://mi.mathnet.ru/vsgtu1073}
\crossref{https://doi.org/10.14498/vsgtu1073}
\zmath{https://zbmath.org/?q=an:1326.70045}
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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