Astronomical Applications Department, U.S. Naval Observatory Beam Comp Example  Page 39
1
473088
R11
f10
 - 
ZernikeSeries[7818]: calculating the coefficients [11, 3]...
ZernikeSeries[8030]: A[11, 3]:
 + 
1
1351680
C2
(
)
-
 + 
280 359 C d
f14
1
1351680
-
 +   + 
 +   + 
878 C3 C 359 C4 14 405 C2
f13 C
R11
3
 + 
 + 
1
337920
C2
(
)
 - 
313 C 165 d
f13
1
1351680
 + 
 - 
 -   + 
1252 C4 996 C2 2754 C3 12 7 C
f12 C
R11
 
2
 + 
1
450560
C2
(
)
-
 + 
150 479 C d
f12
1
1351680
-
 + 
 -   + 
 + 
2862 C3 2 C 21 731 C2 1437 C4
f11 C
R11
 + 
2
 + 
1
675840
C2
(
)
 - 
272 C 35 d
f11
1
1351680
 + 
 - 
 + 
544 C3 140 C 986 C2 1
f10
R11
3
 + 
ZernikeSeries[8031]: calculating the coefficients [11, 5]...
ZernikeSeries[8168]: calculating the coefficients [11, 7]...
ZernikeSeries[8311]: calculating the coefficients [11, 9]...
ZernikeSeries[8456]: calculating the coefficients [11, 11]...
ZernikeSeries[8835]: calculating the coefficients [12, 0]...
ZernikeSeries[8906]: A[12, 0]:
 + 
17
1081344
C2 d
f14
1
7569408
 -   - 
119 C2 14 174 C
f13
R12
2
 + 
3
90112
C2 d
f13
1
1892352
 -   - 
63 C2 2 93 C
f12
R12
 
 + 
 + 
19
1081344
C2 d
f12
1
7569408
 - 
 + 
133 C2 198 C 8
f11
R12
2
 + 
ZernikeSeries[8906]: calculating the coefficients [12, 2]...
ZernikeSeries[9053]: A[12, 2]:
 + 
7
405504
C2 d
f14
1
3244032
 -   - 
56 C2 6 81 C
f13
R12
2
 + 
59
1622016
C2 d
f13
1
1622016
-
 -   + 
86 C 1 59 C2
f12
R12
 
 + 
 + 
31
1622016
C2 d
f12
1
3244032
 +   - 
62 C2 4 91 C
f11
R12
2
 +