![]() ![]() Note that the false northings of the origin, if the equator, will need to be large to avoid negative northings and for the UTM projection is in fact 10,000,000m. Mu1 = M1/ĭ = (E - FE)/(nu1*k0), with nu1 = nu for lat1įor areas south of the equator the value of latitude lat will be negative and the formulas above, to compute the E and N, will automatically result in the correct values. Where lat1 may be found as for the Cassini projection from: The reverse formulas to convert Easting and Northing projected coordinates to latitude and longitude are: With lat in radians and M0 for lat0, the latitude of the origin, derived in the same way. Where T = tan^2(lat) nu = a /(1 - esq*sin^2(lat))^0.5Ī = (lon - lon0)cos(lat), with lon and lon0 in radians. The formulas to derive the projected Easting and Northing coordinates are in the form of a series as follows:Įasting, E = FE + k0*nu Users are encouraged to use that document rather than the text which follows as reference because limitations in the transcription will be avoided. ![]() Note: These formulas have been transcribed from EPSG Guidance Note #7-2. ![]()
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