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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2007, Issue 2(15), Pages 151–154 (Mi vsgtu545)  

Celestial Mechanics

Mathematical modeling of close encounters of Solar system small bodies with major planets and the Moon

V. V. Abramov

Samara State Technical University

Abstract: We establish the choice of numerical integration method for the motion equations of solar system small bodies in moments of close encounters with major planets and the Moon. The performed research shows that the multi-step Adams–Moulton method with preliminary chosen smaller step and increased order of approximation is more preferable for these moments. The modeling of moments of encounters using the one-step Everhart method with variable step sufficiently increases the global time of numerical process and requires the following optimization of step change criterion.

DOI: https://doi.org/10.14498/vsgtu545

Full text: PDF file (142 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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UDC: 521.1; 523.642
Received 21.04.2007

Citation: V. V. Abramov, “Mathematical modeling of close encounters of Solar system small bodies with major planets and the Moon”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(15) (2007), 151–154

Citation in format AMSBIB
\Bibitem{Abr07}
\by V.~V.~Abramov
\paper Mathematical modeling of close encounters of Solar system small bodies with major planets and the Moon
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2007
\vol 2(15)
\pages 151--154
\mathnet{http://mi.mathnet.ru/vsgtu545}
\crossref{https://doi.org/10.14498/vsgtu545}


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