Archive of Issues
Russia Izhevsk; Saint Petersburg
Section | Mechanics |
Title | A non-homogeneous sphere as a model of the planets. Internal points of maximum gravity |
Author(-s) | Kondratyev B.P.ab, Trubitsyna N.G.b, Oparin A.O.b, Solovyeva P.O.b |
Affiliations | Pulkovo Observatory of the Russian Academy of Sciencesa, Udmurt State Universityb |
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 |
UDC | 521.1 |
MSC | 70F15 |
DOI | 10.20537/vm130208 |
Received | 1 February 2013 |
Language | Russian |
Citation | Kondratyev B.P., Trubitsyna N.G., Oparin A.O., Solovyeva P.O. A non-homogeneous sphere as a model of the planets. Internal points of maximum gravity, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2013, issue 2, pp. 74-84. |
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