P { −(A + Ma2) n2 + Kn + gMa} − RMn2a = 0;
(17)
and so the effect may be investigated on the Fleuriais gyroscopic horizon of the motion of the ship.
Suppose the motion λ is due to the suspension of the gyrostat from a point on the axis of a second gyrostat suspended from a fixed point.
Distinguishing the second gyrostat by a suffix, then λ = bῶ1, if b denotes the distance between the points of suspension of the two gyrostats; and the motion of the second gyrostat influenced by the reaction of the first, is given by
(A1 + M1h12)ῶ1 − K1ῶ1i
| = −g (M1h1 + Mb) ῶ1 − b (X + Yi) = −g (M1h1 + Mb) ῶ1 − Mb(aῶ + λ); |
(18)
so that, in the small vibration,
| R | { −(A1 + M1h12) n2 + K1n + g (M1h1 + Mb) } = Mn2b (aP + R), |
| b |