أنظمة التحويل بين نظامي WGS 84 و Clark 1880

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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

    .

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    Z

    ). (

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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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    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.

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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.

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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.