FORM OF SURFACE OF VISCOELASTIC CELESTIAL BODIES UNDER THE ACTION OF GRAVITATIONAL FORCES
Abstract
The effect of viscosity on the shape of viscoelastic celestial bodies is considered by the example of the motion of two homogeneous bodies, a planet and its satellite, about an attracting center. It is analyzed the structure of displacements of body’s points under the action of gravitational forces. The canonical equations of the surfaces of the elastic, viscous and viscoelastic bodies and their orientation are found in corresponding coordinate frames.
References
Список литературы / References
Love A E H (1944) A Treatise on the Mathematical Theory of Elasticity 4th ed. (Dover, New York) p 670
Murray C D Dermott S F (1999) Solar System Dynamics (Cambridge University Press) p 606
Zlenko A (2019) The Perturbing Potential and the Torques in one Three-Body Problem J. Phys.: Conf. Ser. 1301 012022. doi:10.1088/1742-6596/1301/1/012006
Zlenko A (2020) Displacements of Points of a Viscoelastic Ball Caused by Tides. J. Phys.: Conf. Ser. 1705 012026
Zlenko A (2020) Deformed state of viscoelastic bodies in one problem of tidal interaction. IOP Conf. Ser.: Mater. Sci. Eng. 868 012022
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