Global Positioning System Reference
In-Depth Information
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[14
Lin
—
0.4
——
No
PgE
Figure 4.9
Characteristics of the standard deviation ellipse.
[14
Evaluating the left-hand side and dividing both sides by
q
x
1
q
x
2
gives
y
1
q
x
1
+
y
2
q
x
2
−
2
y
1
y
2
q
x
1
,x
2
q
x
1
q
x
2
=
constant
(4.322)
fro
m which it follows that
(
2
y
1
ρ
x
1
,x
2
/
√
q
x
1
q
x
2
)
(
2
y
2
ρ
x
1
,x
2
/
√
q
x
1
q
x
2
)
(
2
y
2
/q
x
2
)
−
dy
1
dy
2
=
(4.323)
−
(
2
y
1
/q
x
1
)
Co
nsider the tangent for which the slope is infinity. The equation of this tangent line is
y
2
=σ
0
√
q
x
2
(4.324)
Su
bstituting this expression into the denominator of (4.323) and equating it to zero
gives
σ
0
√
q
x
2
ρ
x
1
,x
2
√
q
x
1
q
x
2
y
1
q
x
1
=
(4.325)
