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On a magnetic anomaly origin for the braids of Saturn's F-Ring

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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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  2. Eisenhart, L. P.: 1940.,An Introduction to Differential Geometry, Princeton Univ. Press, Princeton: p. 22.

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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

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  • Magnetic Field
  • Periodic Orbit
  • Magnetic Force
  • Magnetic Anomaly
  • Space Curve