CALCULO DE COORDENADAS GEODSICAS A PARTIR DE COORDENADAS GEOCENTRICAS

DATOS:Coordenadas Geocentricas:X = 1252944.578Y = 6211554.154Z = 759680.850

Datos Geodsicos:

a = 6378137.000b = 6356752.314 = (a-b)/b = 0.0033528107 e = (2 )

= 0.006694380e = 0.081819191e' = e / (1 - )e' = 0.006716901

=P = 6336661.19684604

CALCULO DE LATITUD DE REFERENCIA

= Arctang (Z a / P b) = 6.8591483792 6 51 '

SEN = 0.1194289771COS = 0.9928427466

CALCULO DE LATITUD

= Arctang ( Z + e' b (sen)P -e a cos

= 6.8819697862 6 52 '

SEN = 0.1198244255COS = 0.9927950982

CALCULO DE LONGITUD

= Arctang (Y/X) = 78.5957848277 78 35 '

RADIO DE CURVATURA

N = a

N = 6378443.54640868

ALTITUD:

h =h = 4203.9990583537

e

P (X+ Y)

(1+e sen )

P/cos - N

CALCULO DE COORDENADAS GEODSICAS A PARTIR DE COORDENADAS GEOCENTRICAS

DATOS:Coordenadas Geograficas = 6 52 ' 55.091'' = 78 35 ' 44.8254''h= 4203.999

SEN = 0.1198244255COS = 0.9927950982SEN = 0.9802566306COS = 0.1977294571

Datos Geodsicos:

a = 6378137.000b = 6356752.314 = (a-b)/bf = 0.0033528107 e = (2 )

= 0.006694380e = 0.081819191e' = e / (1 - )e' = 0.006716901

CALCULO DE CURVATURA DEL ELIPSOIDE EN LA PRIMERA VERTICAL

N = a

N = 6378443.54640868

CALCULO DE COORDENADAS GEOCENTRICAS

X = (N+h) COS COSY = (N+h) COS SENOZ =

X = 1252944.578Y = 6211554.154Z = 759680.605018615

e

(1+e sen )

(N(1-e)+ h) SENO

CALCULO DE COORDENADAS UTM A PARTIR DE COORDENADAS GEOGRAFICAS

DATOS:Coordenadas Geograficas = 6 52 ' 55.091'' S = 78 35 ' 44.8254'' Wh= 4203.999

Datos Geodsicos:

a = 6378137.000b = 6356752.314 = (a-b)/b = 0.0033528107 e = (2 )

= 0.006694380e = 0.081819191e' = e / (1 - )e' = 0.006716901c =c = 6399593.62600532

CALCULO POR HORIENTACION

= = Angulo segn Signo = = -6.8819697862 = = Angulo segn Signo = = -78.5957848277

SEN = -0.1198244255COS = 0.9927950982SEN = -0.9802566306COS = 0.1977294571

CALCULO DE HUSO

H = [| /6+ 31 |]H = 17

CALCULO DEL MERIDIANO DEL HUSO

M = 6(H) - 183M = -81

0.0416

= ( - M) rad = 0.0419614707

CALCULO DE

= (1/2) Ln ( 1 + COS SENO )

e

(a/b)

CALCULO DE

( 1 - COS SENO ) = 0.0416710216

= Arctang ( Tang ) -cos

= -0.00010481

= 0.9996 * c

= 6375962.70299892

= e' cos 2

= 5.74812849456655E-006

CALCULO DE:

= Sen 2A = -0.2379222045

= A cos A = -0.234506143

= + A/2J = -0.239074134

= (3J + A) /4J = -0.2379321363

= 5J + A cos J = -1.4207998102 = 3 e' /4 = 0.0050376754 = 5 /3 = 0.000042297 = = 1.65727594796973E-007

=-760725.548992158

N = "N""S"

E = * * ((/3) +1) + 500000

N = 9238606.20266948 -761393.8E = 765693.38879564

CALCULO DE

CALCULO DE

(1+e' cos )

CALCULO DE

A

A

J

J

J

35 /27

B 0,9996 * c ( - J +J - J)

* * ( +1) + B +

CALCULO DE COORDENADAS GEOGRAFICAS A PARTIR DE COORDENADAS UTM

DATOS:Coordenadas GeograficasN = 9238606.20266948E = 765693.38879564h= 4203.999

Datos Geodsicos:

a = 6378137.000b = 6356752.314 = (a-b)/b = 0.0033528107 e = (2 )

= 0.006694380e = 0.081819191e' = e / (1 - )e' = 0.006716901c =c = 6399593.62600532

CALCULO POR HORIENTACION

Y = Ny = 9238606.20266948x = E - 500000x = 265693.38879564

CALCULO DE:

' = Yc * 0.9996

' = 1.444201564

= 0.9996 * c

= 6391613.34887877

a = x / a = 0.0415690647

b = y - B

b = 0.0078641805

= e' a cos

e

(a/b)

(1+e' cos )

2 = 9.25102026039768E-008

= a (1 - /3) = 0.0415690634 0.041581

= b ( 1 - ) +

= 1 0.1184518

= Arctang ( Senh ) cos

= 0.33759883

= Arctang ( cos tan ) = -0.5359054692

= sen 2A = 0.2504930665

= A cos A = 0.0039930607

= + A/2J = 1.5694480973

= (3J + A) /4J = 1.1780843381

= 5J + A cos J = 5.8904853433 = 3 e' /4 = 0.0050376754 = 5 /3 = 0.000042297 = = 1.65727594796973E-007

=9188341.40130744

=

= -0.5410651832 = 0.3375988298

-0.002498703

A

A

J

J

J

35 /27

B 0,9996 * c ( - J +J - J)

+ ( - ')[ 1 + e' cos ' -(3/2)( e' seno 'cos '( - ' ) )]

+

CALCULO DE COORDENADAS GEODSICAS A PARTIR DE COORDENADAS GEOCENTRICAS

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32.93''

55.091''

44.825''

CALCULO DE COORDENADAS GEODSICAS A PARTIR DE COORDENADAS GEOCENTRICAS

1 / 298.257220143

CALCULO DE COORDENADAS UTM A PARTIR DE COORDENADAS GEOGRAFICAS

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E-W

N

-S

= 0 = 10000000

CALCULO DE COORDENADAS GEOGRAFICAS A PARTIR DE COORDENADAS UTM

1 / 298.257220143

E-WN

-S

[ 1 + e' cos ' -(3/2)( e' seno 'cos '( - ' ) )]

Hoja1