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Coordenadas planas

Coordenadas planas. Rubén C. Rodríguez. Temario. Coordenadas Gauss Krüger Coordenadas U. T. M. Gauss Krüger. X = Q + k [AM + f1 ( a, f,  Q = arco ecuador-polo k = 1 (tangente) Y = Faja + 500 000 + k * f2 ( a, f,  AM, a, f: Internacional 1924 ó WGS 84

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Coordenadas planas

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  1. Coordenadas planas Rubén C. Rodríguez

  2. Temario • Coordenadas Gauss Krüger • Coordenadas U. T. M.

  3. Gauss Krüger • X = Q + k [AM + f1 ( a, f,  • Q = arco ecuador-polo k = 1 (tangente) • Y = Faja + 500 000 + k * f2 ( a, f,  • AM, a, f: Internacional 1924 ó WGS 84 • X = N Y = E • Software cartografía digital: X ? Y ?

  4. U. T. M. • M. T. U., Mercator Transversa Universal • caso particular Gauss-Krüger • N = Q + k [AM + f1 ( a, f,  • Q = 10 000 000 k = 0.9996 (secante) • E = 500 000 + k * f2 ( a, f,  • Zona: ancho 6º Zona 1: o = -177º

  5. Deformación lineal • m = 1 + y2 /2 R2 • o y (km) m cm/km 7’ 10 1.000 001 0.1 0.5º 44 1.000 024 2 1 88 1.000 095 9 1.5 132 1.000 213 21 2 176 1.000 378 38 2.5 220 1.000 591 59 3 264 1.000 851 85

  6. Convergencia plana de meridianos • o seno (primer término)

  7. Reducción de acimut • o corrección arco - cuerda • (2y1 + y2) (X1 - X2)/6 R2

  8. ACIMUTES GEODÉSICOS Y PLANOS X paralela al meridiano central meridiano tg m P1  cuerda Az p geodésica  Az g tg g Po Y Azp = Azg -  Azg = Azp +  JHM / EST

  9. ÁNGULOS ELIPSÓIDICOS Y PLANOS P1 elipp1 elipAzp 2 + Azp1 +  c 1 elipAzp2  Azp1 +  g1  P2 p1  c 2  elip g2 Po JHM / EST

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