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8/9/2019 Clark 1880 WGS 84
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Clark 1880WGS 84
. )Datum(
GIS
. .
)Simart(
. .))Habcood()1
1
.
.)(
. ( ( . .
)1( Coordinate systems and Transformation, (2002) Available at www. GIs mapTransformation. com
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)2(:
Geodetic Coordinate System -1
.
( ) . .
.
)3(:
X = ( N + h ) cos ( phi ) cos ( lamb da )
Y = ( N + h ) cas ( phi ) sin ( lamb da )
Z = [ N ( e
) + h ] sin ( phi )
:
h=
phi=
lambda=
e=
N=
)2( Knippers. R. A and Hendrikse. M. J. (2000) Coordinate Transform motionCartographic. Karnkatern. 2000. P3.
)3( Coordinate System and Transformation. () Available at www. GIS map.
transformation. com.
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.
WGS8 :
( ) ( )
( ) ( ) [ ]( ) xyLambda
hNNeyxZphi
Nphiyxh
/tan
)(1tan
cos/
122
1
22
2
122
=
++=
+=
- Geographic Coordinate System
x .Z ) .)
y )X , Z( Z
). ( .
)4(.
)5(
:fo lo Latitude and Longitude of grid origin
fp lp Latitude and Longitude of point
ko Central Meridian Scale Factor .
)4( Basic under standing of coordinate system, (2003) Available www. GIS map.com
)5( The useful surveying Data, (2003) Available at www.swsurveys.com.
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FE FN False Eastings an
Northings
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)1(
: Knippers. R. A and Hendrikse M. T. Coordinate Transformation
x y z
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Quadratic C
y
. y.
* :
Coordinates system and tran
:
.
.
.)*(
)(oordinate System
X
X
. .
)X Y(
x. (
sformation. www.GIS map transformation.co
.
.
.
-
.X
y
)D(
), y
.
8/9/2019 Clark 1880 WGS 84
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Z
). (
8/9/2019 Clark 1880 WGS 84
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Loud P. Q ueen. & charles
)6( Datums and Coordinates,
)(
R. Blinn. The Busics of Geographic Informa
sys
(2001) Available at www. natianal mapping.
): (
:tion
ems.
)6(:
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8/9/2019 Clark 1880 WGS 84
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4- :Analytical Coordinate System
.
)h,(
) , ( .
) , ( .
) , ( )x , y( )7(
, )x .y( .
)8(:
( h, ) ( , ) ( , ) ( x , y )
) , ( )x , y( :
= g ( x , y )
= g ( x , y )
) . ( :www.GIS map.Basic understanding of coordinate systems .
)7( Basic understanding of coordinate systems, (2003) Available at www. GIS map.
)8( 127.
8/9/2019 Clark 1880 WGS 84
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)9( Projections and coordinate
.))9
()
=
1(
1(
=
x y z
x y - z
ystems, (2005) Available at www. geog.ubc.culc
a
ba
F
=
1
2
3
22
2
)sin
)1(
e
ea
2
1
22 )sin e
a
ur.ses.
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.
1
.
.))12 .
)Datum(
) , , h. (
). (( ( x , y , z
:
( , , h ) Dutuma ( x , y , z ) Datuma ( x , y , z ) Datumb
( h ) Datumt
Clark 1880WGS 84 )(
WGSClark 1880
1
=F=
= a=
/8.6
68.om
/.66
68.
.8
/f
-.
)(
b = ( f) a=
66.6
m66.6
.
a - b=
8.688m
8.8
-.
4 =b / a = .688..8
)12( Knippers, R. A. and Hendrikse. J. (2000) Coordinate Transformation Kartografic.Kernkatern. P8.
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WGSClark 1880
- f
=
e
= ( b/a )
= ( -f )
f
==
e
.66
.888
6
.68
.88
-.
-.88
)RMS(
=
66.6m
6.6
=
( + b ) / =
68.
m6.
8
=
ra
+ ( b
/e ) In [( + e ) / ( e ) ] =
=
66.
km
6.8
m
.6 x 8
Km
6
.8
.
V = a b /
= =
( / V ) / = ( a b
) /
88
Km
6.
m
8 x
Km
6m
8
.
3/)2( 22 ba +
=)/(2/1 A
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WGSClark 1880
10
= ab / ( a + b
)
6.8
m688m.8
11
=
- =
- )(=
-=a
.km
( see apove )
. x
km
( see above )
.
1
=
-
=
- =
.86km
66.8
m
86.km
68 m
-6.
-8
1
=6. km68.8 Km-.6
14
=a ( e ) =
/
- =
a ( -e
) =
6.68
m
6.
m
6 m
68
-6.
8
:
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( (
)( )
()h()x , y , z(
) )13 ). (
)13( Datum and Coordinates, (2001) Available at www. National mapping.
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AB
Datum BDatum A
)(
: - Loud P. Queen. & Charles R. Blinn. The Basics of Geographic information systems.
8/9/2019 Clark 1880 WGS 84
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.
.
WGS8 :))14
Datum Name = E llipseid Name , shift x shift y hiht Z Name Geographic Areaov as Datum Name = Ellipseid Name The girendatum
shift values are compared to WGS8 .
)Datum( 1880WGS84
-
Clark88WGS8 :)15(.
Longitude ( Clarke 88 ) = Longitude ( WGS 8 ) ( Corrected nears )
)14( Knippers, R. A. and Hendrikse. J. (2000) Coordinate Transformation Kartografic.Kernkatern. P12.
)15( Wonnocoh, R. (1997). World Geodetic system 84, Op. cit. P23.
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Latitude ( Clark 88 ) = Latitude ( WGS8) ( Corrected to nears )
WGS84Clark1880UTM -
UTM ) )UTM.
UTM :
Zene ( ) UTM Easting ( Clark 88 ) = UTM Easting WGS8( )
UTm Northing ( clark88 ) = UTM NorthingWGS8 +( )
Zone ( ) UTM Easting ( clark 88 ) = UTM EastingWGS8( )
UTM Northing ( clarK88) = UTM NorthingWGS8 +( )
)()16(.
)4( 1880WGS84
)16( Wonnocoh, R. (1997). World Geodetic system 84, Op. cit. P25.
WGS84 1880
a = .4
f = 0.4
x = -4
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:Loud P. Queen . & Charles R. Blinn. The Basics of Geographic Information
systems.