The value and variations of density in mass centres of ellipsoidal planets
1Fis, MM, 1Zazuliak, PM, 1Cherniaha, PH 1Lviv Polytechnic National University, Lviv, Ukraine |
Kinemat. fiz. nebesnyh tel (Online) 2013, 29(2):62-68 |
Start Page: Positional and Theoretical Astronomy |
Language: Ukrainian |
Abstract: A formula for the determination of the density value in the mass centre of a planet is derived. The values calculated are in good agreement with observational data. The obtained boundaries for their changes enable one to build more reliable mass distributions, which is especially urgent in the study of the internal structure of planets of the solar system. |
Keywords: ellipsoidal planets, formula, mass distribution |
1.A. D. Bermant, A Short Course of Mathematical Analysis (Nauka, Moscow, 1964) [in Russian].
2.K. E. Bullen, The Earth’s Density (Chapman and Hall, London, 1975).
https://doi.org/10.1007/978-94-009-5700-8
3.N. P. Grushinskii, Theory of the Figure of the Earth (Nauka, Moscow, 1976) [in Russian].
4.V. N. Zharkov, Interior Structure of the Earth and Planets (Nauka, Moscow, 1983) [in Russian].
5.G. A. Meshcheryakov and M. M. Fys, “On Biorthogonal Systems in the Ellipsoid,” in Theoretical and Applied Problems of Computational Mathematics (Mosco, 1981w), p. 120 [in Russian].
6.A. M. Dziewonski and D. L. Anderson, “Preliminary Reference Earth Model,” Phys. Earth Planet. Inter. 25, 297–356 (1981).
https://doi.org/10.1016/0031-9201(81)90046-7
7.A. N. Marchenko, “On the Representation of Planet’s Gravitational and Magnetic Fields. Planet’s Radial Density Profiles,” Astron. School’s Report 1(2), 12–28 (2000).
8.F. Tisserand, Traite de mecanique celeste (Gauthier-Villars, Paris, 1891), Vol. 2.
9.J. M. Warh, “The Forced Nutations of an Elliptical, Rotating, Elastic and Oceanless Earth,” Geophys. J. R. Astron. Soc. 64, 705–727 (1981).
https://doi.org/10.1111/j.1365-246X.1981.tb02691.x