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CALC ΔLAT, ΔLONG GOOD COPY ΔLAT, ΔLong [drawing] Θ=90-Θ* FOR SPHERICAL COS: dΘ=-dΘ* dlΘ=rdΘ=-rdΘ* dlΘ=rsinΘdΦ [arrow to above] GRIFFITH'S INTRO TO E&M Notice dΘ*=ΔLAT dΦ=ΔLONG SUBSTITUTE dΘ*,dΦ dlΘ=-rdΘ*=-rΔlat dlΦ=rsinΘdΦ=rsin(90-Θ*)Δlong=-rsin(Θ*-90)Δlong =rcosΘ*Δlong Δlat*,Δlong* ARE DISTANCES, Δlat,Δlong ARE ANGLES. [drawing] Δlat*=Xsin(Π-β1-δ) =Xsin(β1+δ) Δlong*=Xcos(Π-β1-δ) =Xcos(β1+δ) For α<<1; sinα~α x=rsinα~rα [drawing] Δlat*~rαsin(β1+δ) Δlong*~-rαcos(β1+δ) NOTICE Δlat*=dlΘ rαsin(β1+δ)=-rΔlat => Δlat=-αsin(β1+δ) NOTICE Δlong*=dlΦ -rαcos(β1+δ)=rcosΘ*Δlong => Δlong= -αcos(β1+δ)/cosΘ* = -αcos(β1+δ)/cos(nlat) DEGUELLE, M. FRIEDEL