The liquid switch gyroscope is used as a reference of the original horizontal coordinate system in the inertial navigation system of ballistic rockets. The stability of gyro is significant for finding ground level when a missile enters the destination region. A damping is adapted to increase the tremor convergence rate which may be caused by vibrations of generators, crustal movement and others. This paper proposed several experiments of the liquid electrolyte in the gyro horizon. The damping rate is variational with the bubbles. As a result of that, small tremor can be eliminated and the gyrohorizon can achieve steady mode rapidly.