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Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, Issue 2, Pages 74–84 (Mi vuu379)  

This article is cited in 1 scientific paper (total in 1 paper)

MECHANICS

A non-homogeneous sphere as a model of the planets. Internal points of maximum gravity

B. P. Kondratyevab, N. G. Trubitsynaa, A. O. Oparina, P. O. Solovyevaa

a Udmurt State University, Izhevsk, Russia
b Pulkovo Observatory of Russian Academy of Sciences, St. Petersburg, Russia

Abstract: We obtained the criterion for the existence of gravitational potential inflection points within a inhomogeneous spherical planet. According to the criterion obtained, inflection points (the point of local maximum gravity) can exist only at such a distance $r$ from the center, at which the matter density is two-thirds of the average density of the inner ball with a specified radius. The criterion is defined for the axial moment of the planet inertia too.

Keywords: inhomogeneous spheres, Newton's potential, moment of inertia, inflection points of potential, model of the planets.

Full text: PDF file (352 kB)
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UDC: 521.1
MSC: 70F15
Received: 01.02.2013

Citation: B. P. Kondratyev, N. G. Trubitsyna, A. O. Oparin, P. O. Solovyeva, “A non-homogeneous sphere as a model of the planets. Internal points of maximum gravity”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2013, no. 2, 74–84

Citation in format AMSBIB
\Bibitem{KonTruOpa13}
\by B.~P.~Kondratyev, N.~G.~Trubitsyna, A.~O.~Oparin, P.~O.~Solovyeva
\paper A non-homogeneous sphere as a model of the planets. Internal points of maximum gravity
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2013
\issue 2
\pages 74--84
\mathnet{http://mi.mathnet.ru/vuu379}


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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. Kondratyev B.P., Trubitsyna N.G., “Inflection Points of Potential and Polar Moments of Inertia of Spherical Celestial Bodies”, Solar Syst. Res., 49:3 (2015), 179–190  crossref  isi  elib  scopus
  • Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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