An Optimal Operation of a Free-Standing Foucault Pendulum

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  • 自立型フーコー振子の最適運転

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This paper presents a new strategy which allows us to achieve a successful Foucault pendulum with a portable and free-standing device developed. A numerical calculation for the two-dimensional Hamilton's equations predicted that the pendulum realizes the ideal Foucault performance when the time-averaged action vanishes. Experimental results strongly confirmed the numerical prediction from measurement of the action as a function of the distance between the control magnets. The device has performed the Foucault pendulum with the sufficiently accurate and reliable rotation rates corresponding to the latitudes. Independency of latitude for the optimal condition to the device was verified by the measurement of the rotation rates of the pendulum at different latitudes. Limit cycle and locking phenomena for the pendulum rotation were observed depending on the distance between the magnets. A criterion for their occurrences was examined by using the Adler equation.

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