Here [B.sub.2] is integration constant
. In this case, using (17), the EoS parameter for Einstein-Aether gravity can be written as
where C is an integration constant
which will be determined by using reality condition of [square root of -G].
At tuning the current (torque) loop to the maximum speed, the influence of elastic mechanical oscillations on it for the integration constant
of the current loop [T.sub.T] << [T.sub.y] ([T.sub.y] = 1/[[OMEGA].sub.12]) and [gamma] = 1.01-1.5 is considered insignificant  which allows the transfer function to be adopted after conversion as [W.sub.KT] (p) [approximately equal to] 1.0.
In addition, substituting (2) into (9), the integration constant
[c.sub.1] was obtained as follows:
where [[rho].sub.0] is an integration constant
. In this case, (38) takes the form
where [[alpha].sub.2] = [[beta].sub.2], [[alpha].sub.1] = 1, [[beta].sub.1] = 1/t, and the integration constant
Integrating (11) twice and assuming the integration constant
to be zero, we obtain
Integrating (9) once and setting the integration constant
to zero, we obtain
Their amplitudes and phases are given by two complex integration constants
. Since, by definition, there should be no retrograde quasi-diurnal motion of the pole in either reference frames, we chose only one complex integration constant
(initial position of the pole) and constrain the other one so that the free diurnal motion disappears.