Transformations and OSGM02 user guide - Leica Geosystems
Transformations and OSGM02 user guide - Leica Geosystems
Transformations and OSGM02 user guide - Leica Geosystems
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Projection constantsProjectionScale factoron centralmeridian (F 0)True origin(φ 0<strong>and</strong> λ 0)Map coordinatesof true origin (m)(E 0<strong>and</strong> N 0)NationalGrid0.9996012717 lat 49° Nlong 2° WITM 0.99982 Lat 53° 30' Nlong 8° WE 400 000N 100 000E 600 000N 750 000To convert a position from the graticule of latitude <strong>and</strong> longitude coordinates (λ, φ) to a grid of easting <strong>and</strong> northingcoordinates (E, N) using a transverse mercator projection, for example OSGB36 National Grid, ITM or UTM (UniversalTransverse Mercator), compute the following formulae. Remember to express all angles in radians. You will need theellipsoid constants a, b <strong>and</strong> e 2 <strong>and</strong> the projection constants listed below:N 0– northing of true origin;E 0– easting of true origin;F 0– scale factor on central meridian;φ 0– latitude of true origin; <strong>and</strong>λ 0– longitude of true origin <strong>and</strong> central meridian.ρna−ba+b= (B2)2 2 −0.5ν = aF (1−e sin φ)(B3)02 2 2 −1.5= aF ( 1−e )( 1−e φ)(B4)0sinν= −1ρ2η (B5)<strong>Transformations</strong> <strong>and</strong> <strong>OSGM02</strong> <strong>user</strong> <strong>guide</strong> appendix Bv2.1 9/2002 © crown copyrightPage 34
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