Bilaketa azkar bat eginda, nik hau topau dot:

<http://www.uwgb.edu/dutchs/UsefulData/UTMFormulas.HTM>http://www.uwgb.edu/dutchs/UsefulData/UTMFormulas.HTM

Azalpenez gain, Excel horri bat dakar bihurketa egiten dauena.

    Igor

Está chupao!



Converting UTM to Latitude and Longitude

y = northing, x = easting (relative to central meridian; subtract 500,000 from conventional UTM coordinate).



Calculate the Meridional Arc

This is easy: M = y/k0.



Calculate Footprint Latitude

   * mu = M/[a(1 - e2/4 - 3e4/64 - 5e6/256...)
   * e1 = [1 - (1 - e2)1/2]/[1 + (1 - e2)1/2]

footprint latitude fp = mu + J1sin(2mu) + J2sin(4mu) + J3sin(6mu) + J4sin(8mu), where:
   * J1 = (3e1/2 - 27e13/32 ..)
   * J2 = (21e12/16 - 55e14/32 ..)
   * J3 = (151e13/96 ..)
   * J4 = (1097e14/512 ..)



Calculate Latitude and Longitude

   * e'2 = (ea/b)2 = e2/(1-e2)
   * C1 = e'2cos2(fp)
   * T1 = tan2(fp)
* R1 = a(1-e2)/(1-e2sin2(fp))3/2. This is the same as rho in the forward conversion formulas above, but calculated for fp instead of lat. * N1 = a/(1-e2sin2(lat))1/2. This is the same as nu in the forward conversion formulas above, but calculated for fp instead of lat.
   * D = x/(N1k0)

lat = fp - Q1(Q2 - Q3 + Q4), where:
   * Q1 = N1 tan(fp)/R1
   * Q2 = (D2/2)
   * Q3 = (5 + 3T1 + 10C1 - 4C12 -9e'2)D4/24
   * Q4 = (61 + 90T1 + 298C1 +45T12  - 3C12 -252e'2)D6/720

long = long0 + (Q5 - Q6 + Q7)/cos(fp), where:
   * Q5 = D
   * Q6 = (1 + 2T1 + C1)D3/6
   * Q7 = (5 - 2C1 + 28T1 - 3C12 + 8e'2 + 24T12)D5/120
Luistxo



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