On the Stability of a Magnetic Compass Card

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Other Title
  • 磁気コンパスカードの復原性について(予報)(日本航海学会第23回講演会)
  • 磁気コンパスカードの復原性について-予-
  • ジキ コンパスカード ノ フクゲンセイ ニ ツイテ ヨ

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The magnetic compass card must be always steady about the horizontal axis passing through the diameter of it even on the conditions where the ship is heavily rolling. The dynamic stability of the directional system is chiefly due to h (the distance from the compass pivot to the plausible center of gravity weight concerning the directional system in the compass liquid) and W (the weight of system in the liquid). In our experiments, the mesurement of θ (the inclination angle of magnetic compass) were made by changing the value of hW. And by considering the motion of directional system about the horizontal axis of compass card as the pendulum movements, we get the following linear differential equation of second order concerning the inclination angle θ. [numerical formula] In order to make dynamic stability stable, it is necessary that the damping ratio ζ is relatively larger, or the natural frequency of the system is lower than the disturbance frequency imposed to the system.

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