From the numerator of the expression for thetorsion of a space curve a necessary and sufficient condition for the existence of aplanarity in a closed periodic orbit is derived. It is shown thatonly the component of force orthogonal to the velocity can contribute to aplanarity. The aplanarity is thus associated with a force which does no work and this suggests a magnetic force anomaly as the cause of the braid configurations of the F-Ring. Following this suggestion one finds that such a magnetic field cannot be oriented parallel or orthogonal to the velocity.
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Becker, R. and Saunter, F.: 1964,Electromagnetic Fields and Interactions, Blaisdell Publ. Co., New York; p. 347.
Eisenhart, L. P.: 1940.,An Introduction to Differential Geometry, Princeton Univ. Press, Princeton: p. 22.
Smith, B.: 1980, vide infra.
Sutton, C.: 1980, ‘Saturn's Secrets Revealed”,New Scientist, Vol.88, No. 1228/20 Nov 1980, 491.
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Kyrala, A. On a magnetic anomaly origin for the braids of Saturn's F-Ring. The Moon and the Planets 25, 129–130 (1981). https://doi.org/10.1007/BF00911813
- Magnetic Field
- Periodic Orbit
- Magnetic Force
- Magnetic Anomaly
- Space Curve