so that equations (9) and (10) for relative equilibrium reduce to
gMh sin E = KQ = Kμ sin θ cos φ = Kμ sin θ sin (δ − E),
(21)
and will change (3) § 6 into
| tan E = | Kμ sin α cos β | , |
| gMh + Kμ cos α |
(22)
a multiplication of (3) § 6 by cos β (Gilbert, Comptes rendus, 1882).
Changing the sign of K or h and E and denoting the revolutions/second of the gyroscope wheel by F, then in the preceding notation, T denoting the period of vibration as a simple pendulum,
| tan E = | Kμ sin α cos β | = | F sin α cos β | , |
| gMh − Kμ cos α | 86400 A/T2C − F cos α |
(23)