Transformations and OSGM02 user guide - Leica Geosystems

⎛ ⎛ 5 2 5 3 ⎞ ⎛2 21 3 ⎞⎞⎜ ⎜1+n + n + n ⎟(φ −φ0) −⎜3n+ 3n+ n ⎟sin(φ −φ0)cos( φ + φ0) ⎟⎜ ⎝ 4 4 ⎠ ⎝ 8 ⎠⎟= bF0⎜⎟⎜⎛152 15 3 ⎞35 3+ ⎜ n + n ⎟sin(2(φ − φ ))cos(2( + )) − sin(3( − ))cos(3( + ))⎟0φ φ0n φ φ0φ φ0⎝ ⎝ 8 8 ⎠24⎠M (B6)νIII = sin φ cos24νIIIA = sin φ cos720ν 5VI = cos φ120I = M + N 0νII = sinφcosφ253φ(5− tan2φ(61−58 tanIV = ν cosφ⎛ ⎞= ν 3 νV cos φ⎜− tan2 φ ⎟6 ⎝ ρ ⎠2φ + 9η)2φ + tan4φ)2422 2( 5 −18tanφ + tan φ + 14η− 58 tan φη)246N = I + II( λ − λ0 ) + III( λ − λ0)+ IIIA( λ − λ0)(B7)35E = E0 + IV(λ − λ0) + V( λ − λ0)+ VI( λ − λ0)(B8)Transformations and OSGM02 user guide appendix Bv2.1 9/2002 © crown copyrightPage 35