In accordance with the conventional approach we derive from Fig. (13)
and Snell's law:
*
Sin (2), 5 n = index of refraction (91)
e
sin n
in Ç b
and from the sine law:
in (z) x!
sn imo. p where r = R + H (Fig. 12) (92)
sin € r
p
with (91) and (92) it follows that:
* rt sin (2) in (2) = K
| n r. sin (z) -nr siníez) =
| pp P "p v» (95)
in particular for point A, K = nr, sin (z), where r, - R « H,
Further from Figure (13), omitting subscripts,
+
K à
ac = T ‚and C, -K ar (94)
r ly - «e 1/2 T r V nz)? - k*
Applying formula (9h) to points (Q) outside of the effective atmosphere, where
n = unity, we obtain with Ty = R + ]
r
d -l
a” K = r - Sin 8 (95)
r
and, correspondingly, from Fig. (12) for all points for which Ty? ry
+ oo - sin (96)
| Cc, = (2),
"KR
q T
q