Geography Reference
In-Depth Information
x
=
X
(cos
α
12
)
2
+(
Y
y
1
)sin
α
12
cos
α
12
+
x
1
(sin
α
12
)
2
−
(23.187)
y
=
J
x
0
)
j
,
tan
α
12
=
y
2
−
y
1
j=0
c
j
(
x
∧
−
x
1
,
(23.188)
x
2
−
End of Corollary.
2
to (
x, y
)
∈
C
will be based on
the clothoidal parameters/coecients
{c
1
...c
7
}
given in Table
23.8
. We have chosen a radius of
initial curvature of 1
/κ
0
=5
,
000m with a gradient of
κ
0
=10
−
6
m
−
2
. A part of a clothoid up to
x
= 250m,
y
= 260m has been plotted in Figs.
23.40
and
23.41
. For 50 points we have given the
clothoidal coordinates (
x, y
)
Our case study of a minimal distance mapping of (
X,Y
)
∈
R
∈
C
,(
X,Y
)
∈
R
2
which are close to
C
and (
x
−
X,y
−
Y
)datain
the millimeter range in Table
23.8
.
Here we have dealt with a
railway track
which has been surveyed from points
chose to the
clothoid,
the circle or the straight line. In particular, we have aimed at a relation of the
measure-
ment points
chose to the clothoid, the circle or the straight line given in an
expat base
Search WWH ::
Custom Search