Geodesic
A non-homogeneous sphere as a model of the planets. Internal points of maximum gravity
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2013), pp. 74-84
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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, inflection points of potential, model of the planets.
Mots-clés : moment of inertia 
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     title = {A non-homogeneous sphere as a model of the planets. {Internal} points of maximum gravity},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
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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. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2013), pp. 74-84. http://geodesic.mathdoc.fr/item/VUU_2013_2_a7/

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