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samahiji
Frequent Visitor

Latitude & Longitude calculation from UTM

Hi,

I have a table with utm coordinates that I need to convert them to latitude & longitude in order to be used in arcGIS.

The code below did will for latitude but not for longitude!!

Any idea?

 

let
    Source = ...,
   // Convert UTM to Lat/Long
   AddLatitude = Table.AddColumn(Source, "Latitude", each
       let
           Easting = [BOTTOMX],
           Northing = [BOTTOMY],
           UTMZoneNumber = 39,
           k0 = 0.9996,
           a = 6378137.0,
           e = 0.081819190842622,
           e1sq = 0.006739496742337,
           northernHemisphere = true,
           x = Easting - 500000.0,
           y = if northernHemisphere then Northing else Northing - 10000000.0,
           LongOrigin = (UTMZoneNumber - 1.0) * 6.0 - 180.0 + 3.0,
           M = y / k0,
           mu = M / (a * (1.0 - Number.Power(e, 2.0) / 4.0 - 3.0 * Number.Power(e, 4.0) / 64.0 - 5.0 * Number.Power(e, 6.0) / 256.0)),
           e1 = (1.0 - Number.Sqrt(1.0 - e * e)) / (1.0 + Number.Sqrt(1.0 - e * e)),
           phi1Rad = mu + (3.0 * e1 / 2.0 - 27.0 * Number.Power(e1, 3.0) / 32.0) * Number.Sin(2.0 * mu) + (21.0 * Number.Power(e1, 2.0) / 16.0 - 55.0 * Number.Power(e1, 4.0) / 32.0) * Number.Sin(4.0 * mu) + (151.0 * Number.Power(e1, 3.0) / 96.0) * Number.Sin(6.0 * mu),
           N1 = a / Number.Sqrt(1.0 - Number.Power(e * Number.Sin(phi1Rad), 2.0)),
           T1 = Number.Power(Number.Tan(phi1Rad), 2.0),
           C1 = e1sq * Number.Power(Number.Cos(phi1Rad), 2.0),
           R1 = a * (1.0 - e * e) / Number.Power(1.0 - Number.Power(e * Number.Sin(phi1Rad), 2.0), 1.5),
           D = x / (N1 * k0),
           Latitude = phi1Rad - (N1 * Number.Tan(phi1Rad) / R1) * (Number.Power(D, 2.0) / 2.0 - (5.0 + 3.0 * T1 + 10.0 * C1 - 4.0 * C1 * C1 - 9.0 * e1sq) * Number.Power(D, 4.0) / 24.0 + (61.0 + 90.0 * T1 + 298.0 * C1 + 45.0 * T1 * T1 - 252.0 * e1sq - 3.0 * C1 * C1) * Number.Power(D, 6.0) / 720.0),
           LatitudeDeg = Latitude * (180.0 / Number.PI)
       in
           LatitudeDeg
   ),
   AddLongitude = Table.AddColumn(AddLatitude, "Longitude", each let
   Easting = [BOTTOMX],
   Northing = [BOTTOMY],
   UTMZoneNumber = 39,
   k0 = 0.9996,
   a = 6378137.0,
   e = 0.081819190842622,
   e1sq = 0.006739496742337,
   northernHemisphere = true,
   x = Easting - 500000.0,
   y = if northernHemisphere then Northing else Northing - 10000000.0,
   LongOrigin = (UTMZoneNumber - 1.0) * 6.0 - 180.0 + 3.0,
   M = y / k0,
   mu = M / (a * (1.0 - Number.Power(e, 2.0) / 4.0 - 3.0 * Number.Power(e, 4.0) / 64.0 - 5.0 * Number.Power(e, 6.0) / 256.0)),
   e1 = (1.0 - Number.Sqrt(1.0 - e * e)) / (1.0 + Number.Sqrt(1.0 - e * e)),
   phi1Rad = mu + (3.0 * e1 / 2.0 - 27.0 * Number.Power(e1, 3.0) / 32.0) * Number.Sin(2.0 * mu) + (21.0 * Number.Power(e1, 2.0) / 16.0 - 55.0 * Number.Power(e1, 4.0) / 32.0) * Number.Sin(4.0 * mu) + (151.0 * Number.Power(e1, 3.0) / 96.0) * Number.Sin(6.0 * mu),
   N1 = a / Number.Sqrt(1.0 - Number.Power(e * Number.Sin(phi1Rad), 2.0)),
   T1 = Number.Power(Number.Tan(phi1Rad), 2.0),
   C1 = e1sq * Number.Power(Number.Cos(phi1Rad), 2.0),
   R1 = a * (1.0 - e * e) / Number.Power(1.0 - Number.Power(e * Number.Sin(phi1Rad), 2.0), 1.5),
   D = x / (N1 * k0),
   Longitude = LongOrigin + (D - (1.0 + 2.0 * T1 + C1) * Number.Power(D, 3.0) / 6.0 + (5.0 - 2.0 * C1 + 28.0 * T1 - 3.0 * Number.Power(T1, 2.0) + 8.0 * e1sq + 24.0 * Number.Power(T1, 3.0)) * Number.Power(D, 5.0) / 120.0) / Number.Cos(phi1Rad),
   LongitudeDeg = Longitude * (180.0 / Number.PI)
in
   LongitudeDeg)
in
    AddLongitude
1 ACCEPTED SOLUTION
Greg_Deckler
Community Champion
Community Champion

@samahiji I did this in DAX once. Maybe DAX is OK for you to use or perhaps it can help point you to where your issue is. Northings and Eastings to Latitude and Longitude - Microsoft Fabric Community



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1 REPLY 1
Greg_Deckler
Community Champion
Community Champion

@samahiji I did this in DAX once. Maybe DAX is OK for you to use or perhaps it can help point you to where your issue is. Northings and Eastings to Latitude and Longitude - Microsoft Fabric Community



Follow on LinkedIn
@ me in replies or I'll lose your thread!!!
Instead of a Kudo, please vote for this idea
Become an expert!: Enterprise DNA
External Tools: MSHGQM
YouTube Channel!: Microsoft Hates Greg
Latest book!:
DAX For Humans

DAX is easy, CALCULATE makes DAX hard...

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