Astronomical Applications Department, U.S. Naval Observatory Sensitivity Integral Page 39
t199 = dcos(t17)
t206 = dsin(t13)
t209 = t81**2
t213 = dcos(t14)
t218 = dcos(t10)
t230 = dsin(t40)
t242 = dcos(t40)
t244 = (t6*t165+t21*t166)*t95+(t2*t153+t7/t99)*t104+(-t162*t132/
#16.D0+3.D0/32.D0/t110*t124)*t147+(t4+(-t9+t146*t167)*t146)/t24*t16
#3+(t4-t9*t160+t154*t167)/t23*t176+(t179+(-t121+12.D0*t156*t133)*t1
#56)*t185/t45+(t2*t143+t7*t142)*t192+(t2*t149+t7/t195)*t199+(-t4+t9
#*t165+t166*t168)/t25*t206+(t6*t164+t21/t209)*t213+(t2*t139+t7*t138
#)*t218+(t4+(3.D0/8.D0*t135+3.D0/4.D0*t127+a2/8.D0)*t155-3.D0/8.D0*
#a4*t151)/s*t230+((-t137/4.D0-3.D0/8.D0*t125-a1/8.D0-t128/2.D0)*t15
#5+(3.D0/4.D0*t134+t119)*t151)*t242
t250 = dcos(t19)
t254 = t93**2
t259 = dcos(t20)
t270 = dcos(t39)
t279 = dsin(t39)
t289 = dsin(t35)
t296 = dsin(t10)
t304 = dsin(t19)
t311 = dsin(t11)
t317 = dsin(t14)
t325 = dsin(t18)
t333 = dsin(t17)
t338 = t77**2
t342 = dcos(t16)
t347 = dcos(t15)
t357 = (-t141*t132/2.D0+3.D0*t140*t124)*t250+(t156*t132/2.D0-3.D
#0/t254*t124)*t259+((-t137/8.D0-a3*t114-t115-t128/4.D0)*t54+(3.D0/8
#.D0*t134+t120)*t53)*t270+(t76*t57/8.D0-t113+(3.D0/8.D0*t127+t117+x
#*t119)*t50)*t279+(-t131/8.D0+(t121/16.D0-t162*t113)*t162)/g*t289+(
#t1+t3*t139+t138*t118)/t36*t296+(-t179+t141*t121-12.D0*t140*t133)/t
#47*t304+(t1+t3*t143+t142*t118)/t34*t311+(-t4+(t9+t164*t168)*t164)*
#t317/t22+(t1+(t3+t153*t118)*t153)*t325/t48+(t1+(t3+t149*t118)*t149
#)*t333/t46+(-t6*t146-t21/t338)*t342+(-t6*t160-t21*t154)*t347+x*(20
#.D0*t126+60.D0*a0+30.D0*t136+15.D0*t129+12.D0*t130)/120.D0
sensitivity_expr = t244+t357
return
end
Here is the full expression for the definite integration result calculated in
section 4
:
defint
(
)
S , , , ,
,
r s g T
1
2
3
32
a
4
(
)
sin 2 (
)
-
s
r
2
(
)
-
s
r
5
3
32
a
4
(
)
sin 2 (
)
+
s
r g
2
(
)
+
s
r g
5
3
32
a
4
(
)
sin 2 (
)
-
s
r
1
(
)
-
s
r
5
+
-
=
3
32
a
4
(
)
sin 2 (
)
-
s
r g
2
(
)
-
s
r g
5
3
32
a
4
(
)
sin 2 (
)
+
s
r g
1
(
)
+
s
r g
5
3
32
a
4
(
)
sin 2 (
)
+
s
r
2
(
)
+
s
r
5
+
-
+
3
32
a
4
(
)
sin 2 (
)
-
s
r g
1
(
)
-
s
r g
5
1
2
+
+
+
+
a
0
a
1
1
a
2
1
2
a
3
1
3
a
4
1
4
(
)
sin (
)
- +
r
r g
1
(
)
- +
1
g r
-
+
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