Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984ap%26ss.103..137f&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 103, no. 1, Aug. 1984, p. 137-142.
Astronomy and Astrophysics
Astrophysics
4
Gravitational Fields, Ice Environments, Planetary Gravitation, Rotating Matter, Saturn Rings, Dynamic Stability, Elastic Waves, Equations Of Motion, Wave Dispersion
Scientific paper
It is shown that the classical model of a hypothetical continuous ice ring around Saturn, proposed by Laplace and Maxwell, was incorrectly interpreted by them. Specifically, supposing the ring to be infinitely hard and firm, they came to the conclusion that it will fall on the planet's surface. However, in reality such a ring would be destroyed due to internal stresses under displacements which are three orders of magnitude smaller than the distance between the ring and the planet. In conclusion, estimates are given which show that a steel ring (thread) rotating around the earth at the distance of 200 km from the surface would be torn due to its instability before it falls on the earth. For threads of firm aluminium fusions, the opposite picture is to be expected. It is noted that the instabilities indicated may be stabilized by using follow-up ('cybernetic') systems with power plants.
Fridman Alexei M.
Morozov Iu. A.
Poliachenko V. L.
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