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

Computer Science

Scientific paper

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Magnetic Anomalies, Orbital Mechanics, Planetary Magnetic Fields, Saturn Rings, Lorentz Force, Orthogonality, Voyager Project

Scientific paper

A necessary and sufficient condition for a closed periodic orbit to be nonplanar is derived from the numerator of the expression for the torsion of a space curve. It is established that only the component of force orthogonal to the velocity can contribute to aplanarity. This associates aplanarity with a force that does no work which in turn suggests a magnetic force anomaly as the cause of the 'braid' configurations of Saturn's F-ring. It is suggested that a similar explanation might be applied for the spoke features of the B-ring.

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