, Volume 8, Issue 9, pp 889-900

Analysis of the motion of a gyro-theodolite

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With the method of analytical mechanics, this paper studies the motions of a gyrotheodolite under the action of (1) the torque of gravity only, (2) the torque applied by the band suspension, (3) the torque of the band suspension with air damping considered, the equations of motion are then established and their solutions are found. Furthermore, analysis of the law of motion and the behaviour of gyro-theodolite during the orientation is made.

Communicated by Zhu Zao-xuan