|
Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye 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.
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
Linking options:
https://www.mathnet.ru/eng/vuu379 https://www.mathnet.ru/eng/vuu/y2013/i2/p74
|
Statistics & downloads: |
Abstract page: | 313 | Full-text PDF : | 195 | References: | 36 | First page: | 1 |
|