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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.], 2014, Issue 3(36), Pages 118–131 (Mi vsgtu1304)  

This article is cited in 3 scientific papers (total in 3 papers)

Mathematical Modeling

The Investigation of the Motion of Planets, the Moon, and the Sun Based on a New Principle of Interaction

A. F. Zausaev

Samara State Technical University, Samara, 443100, Russian Federation

Abstract: A new principle of interaction of the surrounding space with material bodies is investigated. Under the surrounding space we understand the physical vacuum, whose properties are currently still in the formative stage. Gravity is the result of the interaction of the physical vacuum with moving material bodies. It is assumed that the movement of material objects leads to a change in the density of the surrounding space, i.e. areas which density is significantly less than the density of the environment are forming. Gravity is explained by the properties of compression space relative the motion of material bodies. The differential equations of motion of $n$ material bodies are received. It should be noted that the system of differential equations does not contain the masses and forces of interaction between bodies explicitly. The elements of orbits of the large planets are calculated in the interval of time (1600–2200 years). The results of calculation are compared with elements of orbits founded on data of coordinates and of velocities DE405/LE405. It is shown that the coordinates and the elements of orbits of the large planets, the Moon and the Sun obtained with help of new method are in satisfactory agreement with the coordinates DE405/LE405. Based on the studies, the following conclusions are made: the differential equations of motion satisfactorily describe the motion of the major planets in the time interval of 600 years; these equations are significantly simpler than the differential equations taking into account the relativistic effects, moreover, outlay of machine time is more than twice smaller the latter's.

Keywords: orbital elements, numerical integration, differential equation of motion, gravity, equatorial system, physical vacuum

DOI: https://doi.org/10.14498/vsgtu1304

Full text: PDF file (751 kB) (published under the terms of the Creative Commons Attribution 4.0 International License)
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Bibliographic databases:

UDC: 521.31
MSC: Primary 85-08; Secondary 70M20, 65L99
Original article submitted 20/III/2014
revision submitted – 01/VII/2014

Citation: A. F. Zausaev, “The Investigation of the Motion of Planets, the Moon, and the Sun Based on a New Principle of Interaction”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(36) (2014), 118–131

Citation in format AMSBIB
\Bibitem{Zau14}
\by A.~F.~Zausaev
\paper The Investigation of the Motion of Planets, the Moon, and the Sun Based on a New Principle of Interaction
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2014
\vol 3(36)
\pages 118--131
\mathnet{http://mi.mathnet.ru/vsgtu1304}
\crossref{https://doi.org/10.14498/vsgtu1304}
\zmath{https://zbmath.org/?q=an:06968922}
\elib{https://elibrary.ru/item.asp?id=23085717}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. A. F. Zausaev, “Sopostavlenie koordinat bolshikh planet, Luny i Solntsa, poluchennykh na osnove novogo printsipa vzaimodeistviya i banka dannykh DE405”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 20:1 (2016), 121–148  mathnet  crossref  zmath  elib
    2. A. F. Zausaev, M. A. Romanyuk, “Sravnenie razlichnykh matematicheskikh modelei na primere resheniya uravnenii dvizheniya bolshikh planet i Luny”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 23:1 (2019), 152–185  mathnet  crossref  zmath  elib
    3. A. F. Zausaev, M. A. Romanyuk, A. A. Zausaev, “Matematicheskoe modelirovanie dvizheniya asteroidov, prinadlezhaschikh k gruppam Apollona i Atona”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 24:4 (2020), 692–717  mathnet  crossref  elib
  • Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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