caa a22 4500 475775686 CHVBK 20180406123630.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1023/A:1026674016980 doi (NATIONALLICENCE)springer-10.1023/A:1026674016980 Solar and Lunar Tides in Magma [Elektronische Daten] [B. Voitsekhovskii, R. Garipov] A planet consisting of an ideal incompressible fluid under the action of natural gravitation and attraction of celestial bodies is considered. The inhomogeneity and the presence of a solid core are modeled by a point mass concentrated at the center of the homogeneous planet. A formula is obtained that expresses the mass of the core in terms of the coefficient of flattening of the planet and the angular velocity of its rotation about its axis. The height of tides caused by the action of the Sun and satellites is determined. For the Earth, the numerical values have the same orders of magnitude as the height of tidal waves in the ocean. The initial assumption is valid if the energy of elastic deformation due to tidal forces is much smaller than the kinetic energy of the relative tidal motion of the planetary mass. This is shown to be typical of giant planets and, to a lesser degree, of the Earth. Exact Dirichlet, Riemann, and Ovsyannikov solutions and matrix calculus are used. Plenum Publishing Corporation, 2000 Voitsekhovskii B. Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsk aut Garipov R. Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsk aut Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/6(2000-11-01), 961-969 0021-8944 41:6<961 2000 41 10808 https://doi.org/10.1023/A:1026674016980 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1026674016980 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Voitsekhovskii B. Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsk aut NATIONALLICENCE 700 1- Garipov R. Lavrent'ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsk aut NATIONALLICENCE 773 0- Journal of Applied Mechanics and Technical Physics Kluwer Academic Publishers-Plenum Publishers 41/6(2000-11-01), 961-969 0021-8944 41:6<961 2000 41 10808 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer