Abstract
The potential of gravity forces is found inside a thin homogeneous ring when the ring’s mean radius is much larger than the diameter of its cross section. Rings with elliptic and almost circular cross sections are considered.
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REFERENCES
Laplace, P.S., On the Figure of the Ring of Saturn, Celestial Mechanics, 1966, vol. 2, pp. 494–518.
Kovalevskaya, S.V., Supplement and Comments to the Laplace’s Investigation about the Shape of the Ring of Saturn, in Kovalevskaya, S.V., Nauchnye trudy (Kovalevskaya, S.V., Selected Papers), Akad. Nauk SSSR, 1948, pp. 139–152.
Duboshin, G.N., Teoriya prityazheniya (Theory of Attraction), Moscow: Fizmatgiz, 1961, pp. 107–113.
Kondrat’ev, B.P., Teoriya potentsiala i figury ravnovesiya (Theory of Potential and Equilibrium Figures), Moskva-Izhevsk: Inst. Komp. Issled., 2003, pp. 69–74.
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Translated from Kosmicheskie Issledovaniya, Vol. 43, No. 4, 2005, pp. 260–268.
Original Russian Text Copyright © 2005 by Kasatkin.
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Kasatkin, G.V. Internal Gravitational Field of a Thin Homogeneous Ring. Cosmic Res 43, 245–253 (2005). https://doi.org/10.1007/s10604-005-0042-4
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DOI: https://doi.org/10.1007/s10604-005-0042-4