442 Alex Goodman 
27 
1 
Ba = | Z, sin wt d(wt ) (C4) 
0 
and 
1 277 
Zoe = || Zp cos wt d(at). (C5) 
‘0 
The operations indicated by Eqs. (C4) and (C5) are performed by the force-component 
separator, sine-cosine potentiometer, integrating amplifier, and timer diagrammed in Fig. 22. 
The result of the integration is provided by the digital readout and is defined as 
Zo = Z cose (C6) 
and 
Zz = -Z, sin ¢. (C7) 
Likewise, for the pure pitching condition the resultant gage signal has the form (see 
Fig. 5) 
Z, = 2, + Z. (cos (at - a - ‘| (C8) 
P, ’, 
Z, = 4, + (4, cos ¢) cos (wt = 5 + (Z,sin¢) sin (ut - 3) . (C9) 
The integration performed is as follows: 
(ot) +27 
Zi. 7 if Z, sin [wt - (at) |] d(at ) (C10) 
(ot), 
and 
(ot) ,+27 
1 
Sa aia | Zp cos [ot - (wt) | d(wt ) (C11) 
(wt), 
where 
(wt), = 2 4 ete, 
