Astronomical Applications Department, U.S. Naval Observatory Sensitivity Integral Page 20
difficulty to integrating the original
integral
,
d
1
2
(
)
+
+
+
+
a
0
a
1
x
a
2
x
2
a
3
x
3
a
4
x
4
(
)
sin s x
2
(
)
-
(
)
sin r x
(
)
sin r g x
2
x
6.2. Graphical Representation of the Singular Surfaces
Let's look at a 3D plot of the singular surfaces. The plot below, though numerically incorrect
in detail (s and r have been scaled), nonetheless correctly shows the topology of the surfaces.
This is also not encouraging!
ssp
plots
implicitplot3d
denoms
=
s
..
-
1
1
=
r
..
-
1
1
=
g
..
-
1
1
=
scaling
constrained
,
,
,
,
,
(
:=
=
style
patch
=
lightmodel
light2
=
orientation
[
]
,
110 70
=
title
"Singular Surfaces"
,
,
,
,
=
labels
[
]
,
,
"s" "r" "g" )
ssp
Page 20
