AIDJEX Bulletin #40 - Polar Science Center - University of Washington

where the roots are
sin 2y
- b’ + cos 2y
0, =
and the cosine may be found from trigonometric identities and equation (81)
as
The direction of increasing values of c1 and S2 are then required to be con-
5 K
sistent with -~/2 < ~/2, or positive x. The coefficients of equation
a-
(86) may be simplified somewhat. It can be shown that
The cosine becomes
and, when divided by the bracketed portion of the second coefficient in
equation (86), may be written as
cos K+_
-
b’ + cos 2y
OF sin 2y + cos 2y
JZ [l+b cos 2y sin 2y 13
(92)
Finally, substituting all appropriate terms into the governing equations
(86) provides
141