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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2011, Issue 2(23), Pages 116–122 (Mi vsgtu945)  

Celestial Mechanics and Astronomy

Numerical modelling of major planets movement on the new interaction principle basis

A. F. Zausaev

Dept. of Applied Mathematics and Computer Science, Samara State Technical University, Samara

Abstract: Numerical integration of the equations of movement of major planets, on the basis of a new principle of interaction is spent. Elements of orbits of major planets on large time interval (1602—2200) are calculated. Results of calculations are compared with elements of the orbits defined according to coordinates and speeds by numerical theory DE405. It is shown that elements of orbits of the exterior planets, found on new algorithm, will well be coordinated with dates DE405. For internal planets Venus, the Earth and Mars have insignificant discrepancies in secular offsets of perihelions in comparison with dates DE405.

Keywords: orbital elements, numerical integration, motion differential equation, barycentric coordinates

DOI: https://doi.org/10.14498/vsgtu945

Full text: PDF file (185 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

UDC: 521.1
MSC: Primary 85-08; Secondary 70M20, 65L99
Original article submitted 20/IV/2011
revision submitted – 20/V/2011

Citation: A. F. Zausaev, “Numerical modelling of major planets movement on the new interaction principle basis”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(23) (2011), 116–122

Citation in format AMSBIB
\Bibitem{Zau11}
\by A.~F.~Zausaev
\paper Numerical modelling of major planets movement on~the new interaction principle basis
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2011
\vol 2(23)
\pages 116--122
\mathnet{http://mi.mathnet.ru/vsgtu945}
\crossref{https://doi.org/10.14498/vsgtu945}


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  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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