DEPARTAMENTO ACADÉMICO DE VIALIDAD Y GEOMÁTICA
CENTRO DE CAPACITACIÓN TÉCNICA
TRANSFORMACIÓN DE TRANSFORMACIÓN COORDENADAS UTM A TOPOGRÁFI TOPOGRÁFICA CA PRÁCTICA Profesor: JORGE MENDOZA DUEÑAS
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
CONTENIDO
Presentación del eje de una carretera georreerenciad georreerenciada. a.
Establecimie nto de puntos GPS, mediante coordenadas UTM, según Establecimiento el datum WGS84.
Identificación de los circuitos (poligonale (poligonales) s) a lo largo de la carretera citada.
Transormación de coordenadas UTM a topográfica topográficas, s, por circuito, utilizando el sofware SISTRAUT.
Presentación de los datos de campo de cada poligonal (ángulos y distancias topográficas) topográficas)..
Procesamiento de la poligonal de cada circuito, haciendo uso de las coordenadas topográficas obtenidas con el sofware SISTRAUT.
Profesor: JORGE MENDOZA DUEÑAS
1
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
CONTENIDO
Presentación del eje de una carretera georreerenciad georreerenciada. a.
Establecimie nto de puntos GPS, mediante coordenadas UTM, según Establecimiento el datum WGS84.
Identificación de los circuitos (poligonale (poligonales) s) a lo largo de la carretera citada.
Transormación de coordenadas UTM a topográfica topográficas, s, por circuito, utilizando el sofware SISTRAUT.
Presentación de los datos de campo de cada poligonal (ángulos y distancias topográficas) topográficas)..
Procesamiento de la poligonal de cada circuito, haciendo uso de las coordenadas topográficas obtenidas con el sofware SISTRAUT.
Profesor: JORGE MENDOZA DUEÑAS
1
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
Profesor: JORGE MENDOZA DUEÑAS
2
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
ANN Á L I S I S E X P E R I M E N T A L A ELECCIÓN DEL EJE DE MEDICIÓN : Se estableció como eje de medición la carretera Ayacucho –Abancay –Abancay,, correspondiente correspondiente al tramo km 50 +00 – km 98 + 750, tal como se muestra en el plano de la página antecesora.
PUNTOS GPS : Se han considerado 26 hitos distribuidos a lo largo de una carretera de 48.75 km , según se muestra en el plano. A continuación se presentan las coordenadas UTM en el datum WGS84 de los los 26 hitos. Dichos valores provienen de observaciones satelitales realizadas con receptores GPS de doble frecuencia.
PTO
NORTE (m)
ESTE (m)
COTA (m)
AZ66
8,523,718.957
596,920.182
4,147.241
PB66
8,523,648.917
597,951.333
4,186.542
AZ65
8,521,325.372
599,720.167
4,231.872
PB65
8,521,193.196 8,521,193.1 96
600,568.487
4,186.987
AZ64
8,519,390.272 8,519,3 90.272
601,183.306 601,183.30 6
4,189.903
PB64
8,518,539.939 8,518,539.9 39
601,578.364
4,166.188
AZ63
8,517,358.939 8,517,3 58.939
604,017.277 604,017.27 7
4,102.139
PB63
8,516,775.543 8,516,775.5 43
603,886.233
4,079.272
AZ62
8,516,109.168 8,516,1 09.168
604,837.712 604,837.71 2
4,002.845
PB62
8,516,300.561 8,516,300.5 61
605,572.639
4,019.390
AZ61
8,516,036.123 8,516,0 36.123
608,235.972 608,235.97 2
4,120.987
PB61
8,516,015.177 8,516,015.1 77
608,691.585
4,140.018
AZ60
8,516,254.893 8,516,2 54.893
611,399.967 611,399.96 7
4,101.409
PB60
8,516,977.283 8,516,977.2 83
611,928.908
4,088.184
AZ59
8,519,936.001 8,519,9 36.001
612,632.165 612,632.16 5
4,024.511
PB59
8,519,261.974 8,519,261.9 74
613,296.358
3,991.240
AZ58
8,520,812.583 8,520,8 12.583
613,465.438 613,465.43 8
3,813.209
PB58
8,521,387.082 8,521,387.0 82
613,725.280
3,785.358
AZ57
8,521,367.342 8,521,3 67.342
614,204.636 614,204.63 6
3,615.418
PB57
8,521,438.705 8,521,438.7 05
614,297.419
3,577.147
AZ56
8,520,270.096 8,520,2 70.096
614,849.795 614,849.79 5
3,437.014
PB56
8,519,680.015 8,519,680.0 15
615,502.894
3,386.058
AZ55
8,519,375.192 8,519,3 75.192
616,246.836 616,246.83 6
3,212.030
PB55
8,519,343.922 8,519,343.9 22
616,919.582
3,174.616
P185
8,519,006.525 8,519,0 06.525
617,326.738 617,326.73 8
3,145.212
P186
8,518,969.518 8,518,9 69.518
617,472.780 617,472.78 0
3,137.146
Profesor: JORGE MENDOZA DUEÑAS
3
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
ALTURA TURA ELIPSOIDAL Y CONVERGENCIA DE MERIDIANOS PUNTOS GPS – AL
PTO
NORTE (m)
ESTE (m)
COTA (m)
h(elipsoidal)
CONV CO NVER ERGE GENC NCIA IA (DE (DEG) G)
LATI LA TITU TUD D (DEG (DEG))
AZ66
8,523,718.96
596,920.18
4,147.24
4182 41 82.0 .07 78
-0.2 -0 .206 0670 7079 794 43
-13 -1 3.3 .352 523 394 9432 32
PB66
8,523,648.92
597,951.33
4,186.54
4221 42 21.3 .37 78
-0.2 -0 .208 0891 9170 705 56
-13 -1 3.3 .352 529 993 9376 76
AZ65
8,521,325.37
599,720.17
4,231.87
4266 42 66.7 .70 09
-0.2 -0 .213 1303 0360 606 65
-13 -1 3.3 .373 739 942 4276 76
PB65
8,521,193.20
600,568.49
4,186.99
4221 42 21.8 .82 22
-0.2 -0 .214 1486 8679 795 56
-13 -1 3.3 .375 751 109 0916 16
AZ64
8,519,390.27
601,183.31
4,189.90
4224 42 24.7 .74 46
-0.2 -0 .216 1645 4545 452 22
-13 -1 3.3 .391 913 388 8891 91
PB64
8,518,539.94
601,578.36
4,166.19
4201 42 01.0 .03 37
-0.2 -0 .217 1742 4288 886 67
-13 -1 3.3 .399 990 063 6344 44
AZ63
8,517,358.94
604,017.28
4,102.14
4137 41 37.0 .01 12
-0.2 -0 .222 228 832 3242 42
-13 -1 3.4 .409 096 656 5635 35
PB63
8,516,775.54
603,886.23
4,079.27
4114 41 14.1 .14 49
-0.2 -0 .222 2264 6425 253 32
-13 -1 3.4 .414 149 935 3553 53
AZ62
8,516,109.17
604,837.71
4,002.85
4037.7 40 37.737 37
-0.2 -0 .224 2478 7859 595 58
-13 -1 3.4 .420 209 926 2673 73
PB62
8,516,300.56
605,572.64
4,019.39
4054 40 54.2 .28 87
-0.2 -0 .226 2633 3311 116 66
-13 -1 3.4 .419 191 170 7016 16
AZ61
8,516,036.12
608,235.97
4,120.99
4155 41 55.9 .91 14
-0.2 -0 .232 3208 0826 267 75
-13 -1 3.4 .421 214 464 6464 64
PB61
8,516,015.18
608,691.59
4,140.02
4174 41 74.9 .95 51
-0.2 -0 .233 3306 0628 282 25
-13 -1 3.4 .421 216 637 3729 29
AZ60
8,516,254.89
611,399.97
4,101.41
4136 41 36.3 .36 68
-0.2 -0 .238 3882 8290 906 64
-13 -1 3.4 .419 193 369 6918 18
PB60
8,516,977.28
611,928.91
4,088.18
4123 41 23.1 .13 36
-0.2 -0 .239 3984 8416 168 83
-13 -1 3.4 .412 128 818 1812 12
AZ59
8,519,936.00
612,632.17
4,024.51
4059 40 59.4 .41 14
-0.2 -0 .240 4084 8491 914 45
-13 -1 3.3 .386 860 041 4184 84
PB59
8,519,261.97
613,296.36
3,991.24
402 026. 6.1 16
-0.2 -0 .242 4238 3834 349 94
-13 -1 3.3 .392 921 110 1035 35
AZ58
8,520,812.58
613,465.44
3,813.21
384 848. 8.1 1
-0.2 -0 .242 4248 4816 163 39
-13.378 -13.3 780 084 8494 94
PB58
8,521,387.08
613,725.28
3,785.36
3820 38 20.2 .242 42
-0.2 -0 .24 429 293 389 8969 69
-13 -1 3.3 .372 7288 8809 098 8
AZ57
8,521,367.34
614,204.64
3,615.42
3650 36 50.3 .30 05
-0.2 -0 .243 4396 9661 611 12
-13 -1 3.3 .373 730 041 4104 04
PB57
8,521,438.71
614,297.42
3,577.15
3612 36 12.0 .03 33
-0.2 -0 .244 4415 1520 205 58
-13 -1 3.3 .372 723 392 9228 28
AZ56
8,520,270.10
614,849.80
3,437.01
3471 34 71.9 .92 26
-0.2 -0 .245 4553 5327 272 23
-13 -1 3.3 .382 829 936 3621 21
PB56
8,519,680.02
615,502.89
3,386.06
3420 34 20.9 .98 88
-0.2 -0 .247 4703 0307 071 12
-13 -1 3.3 .388 882 245 4568 68
AZ55
8,519,375.19
616,246.84
3,212.03
3246 32 46.9 .97 74
-0.2 -0 .248 4867 6745 451 13
-13 -1 3.3 .390 909 972 7245 45
PB55
8,519,343.92
616,919.58
3,174.62
3209 32 09.5 .56 67
-0.2 -0 .250 5011 1187 878 85
-13 -1 3.3 .391 912 228 2868 68
P185
8,519,006.53
617,326.74
3,145.21
3180 31 80.1 .17 75
-0.2 -0 .251 5104 0488 887 72
-13 -1 3.3 .394 942 262 6293 93
P186
8,518,969.52
617,472.78
3,137.15
3172 31 72.1 .11 12
-0.2 -0 .251 5136 3678 780 01
-13 -1 3.3 .394 94 59 5917 171 1
Profesor: JORGE MENDOZA DUEÑAS
4
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
POLIGONALES CERRADAS : Se ha considerado doce poligonales cerradas, desde la progresiva 50 +00 hasta la 98 + 750. Si bien es cierto las poligonales se consideran cerradas, físicamente los circuitos físicos, no lo son, en tal sentido se contempla en cada circuito : Partida : dos puntos de coordenadas topográficas conocidas. Llegada : dos puntos de coordenadas topográficas conocidas.
CIRCUITO 1 :
PB66 - AZ66 PTO
E (UTM)
N(UTM)
FI
h
PB66
597951.333
8523648.917
-13.35299376
4,221.378
AZ66
596920.182
8523718.957
-13.35239432
4182.078
PTO
K (ESCALA)
K(ELEVACION)
K(COMBINADO)
PB66
0.9997186844395
0.999334488
0.99905336
AZ66
0.9997161987189
0.99934068
0.999057066
PROMEDIO
CONV. MERID -0.208917056
0.999055212771
Profesor: JORGE MENDOZA DUEÑAS
5
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
LINEA
L(GEODESICA)
L(UTM)
L(TOPOGRÁFICA)
AB
1,033.819
1,033.527
1,034.504
LINEA
t
(T-t)
AB
-86.11420455
-4.84732E-06
PTO
E (TOPO)
N(TOPO)
PB66
597951.333
8523648.917
596,918.958
AZ66
Nota
t (REAL) 273.8857954
T(DEG)
ZG(DEG)
ZG(RAD)
273.8857906
273.6768735
4.77656253
8,523,715.259
Las coordenadas topográficas del punto PB66 son iguales a las UTM de dicho punto (Punto Base).
PB66 - AZ65 PTO
E (UTM)
N(UTM)
PB66
597951.333
8523648.917
AZ65
599720.167
8521325.372
PTO
K (ESCALA)
FI
h
CONV. MERID
-13.35299376
4,221.378
-0.208917056
-13.37394276
4266.709
K(ELEVACION)
K(COMBINADO)
PB66
0.9997186844395
0.999334488
0.99905336
AZ65
0.9997230094532
0.999327348
0.999050543
PROMEDIO
LINEA AB
0.999051918238
L(GEODESICA) 2,921.027
L(UTM) 2,920.211
L(TOPOGRÁFICA) 2,922.983
LINEA
t
(T-t)
t (REAL)
T(DEG)
ZG(DEG)
AB
-37.28075671
0.000162345
142.7192433
142.7194056
142.5104886
PTO
E (TOPO)
87277244
N(TOPO)
PB66
597951.333
8523648.917
AZ65
599,730.308
8,521,329.633
Nota
ZG(RAD)
Las coordenadas topográficas del punto PB66 son iguales a las UTM de dicho punto (Punto Base).
Profesor: JORGE MENDOZA DUEÑAS
6
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
PB66 - PB65 PTO
E (UTM)
PB66
597951.333
PB65
600568.487
PTO
K (ESCALA)
N(UTM) 8523648.917 8521193.196
FI
h
CONV. MERID
-13.35299376
4,221.378
-0.208917056
-13.37510916
4221.822
K(ELEVACION)
K(COMBINADO)
PB66
0.9997186844395
0.999334488
0.99905336
PB65
0.9997251112756
0.999334419
0.999059714
PROMEDIO
LINEA
0.999056499580
L(GEODESICA)
AB
3,589.878
LINEA AB
L(UTM)
L(TOPOGRÁFICA)
3,588.880
3,592.269
t
(T-t)
-46.82269605
0.000172073
PTO
E (TOPO)
N(TOPO)
PB66
597951.333
8523648.917
PB65
600,579.897
8,521,200.437
Nota
t (REAL) 133.177304
T(DEG) 133.177476
ZG(DEG) 132.968559
ZG(RAD) 2.320739156
Las coordenadas topográficas del punto PB66 son iguales a las UTM de dicho punto (Punto Base).
Profesor: JORGE MENDOZA DUEÑAS
7
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
e c i t r é V . r r o C e t s E . r r o C e t r o N
6 6 0 6 6 2 3 7 9 1 Z B P P P P P A P
8 5 9 . 8 1 9 6 9 5
3 3 3 . 1 5 9 7 9 5
4 2 8 . 8 7 9 7 9 5
2 2 2 . 2 8 4 8 9 5
8 3 4 . 9 2 3 9 9 5
3 6 5 . 5 4 5 9 9 5
9 8 5 . 2 4 6 9 9 5
8 0 3 . 0 3 7 9 9 5
7 9 8 . 9 7 5 0 0 6
9 5 2 . 5 1 7 3 2 5 8
7 1 9 . 8 4 6 3 2 5 8
3 7 8 . 9 1 6 3 2 5 8
1 3 1 . 7 8 6 3 2 5 8
0 3 4 . 4 6 4 2 2 5 8
2 4 9 . 9 5 9 1 2 5 8
0 0 4 . 6 6 5 1 2 5 8
3 3 6 . 9 2 3 1 2 5 8
7 3 4 . 0 0 2 1 2 5 8
2 0 0 . 0 -
2 2 0 . 0 -
3 8 0 . 0 -
5 0 1 . 0 -
2 2 1 . 0 -
2 3 1 . 0 -
1 0 0 . 0 -
7 1 0 . 0 -
5 6 0 . 0 -
2 8 0 . 0 -
5 9 0 . 0 -
3 0 1 . 0 -
3 3 3 . 1 5 9 7 9 5
6 2 8 . 8 7 9 7 9 5
4 4 2 . 2 8 4 8 9 5
1 2 5 . 9 2 3 9 9 5
8 6 6 . 5 4 5 9 9 5
1 1 7 . 2 4 6 9 9 5
0 4 4 . 0 3 7 9 9 5
2 3 1 . 0
7 1 9 . 8 4 6 3 2 5 8
4 7 8 . 9 1 6 3 2 5 8
9 4 1 . 7 8 6 3 2 5 8
4 9 4 . 4 6 4 2 2 5 8
4 2 0 . 0 6 9 1 2 5 8
5 9 4 . 6 6 5 1 2 5 8
6 3 7 . 9 2 3 1 2 5 8
3 0 1 . 0
2 9 9 . 9 3
6 8 8 . 7 4 5
1 2 4 . 5 3 0 2
7 4 2 . 4 8 5 2
5 6 5 . 9 8 9 2
5 5 0 . 2 4 2 3
4 0 5 . 4 3 0 1
2 9 9 . 9 3
4 9 8 . 7 0 5
5 3 5 . 7 8 4 1
6 2 8 . 8 4 5
8 1 3 . 5 0 4
0 9 4 . 2 5 2
6 5 3 . 9 5 8
6 1 9 . 5 3 1 5
6 6 B P 6 6 Z A
2 P 6 6 B P
3 P 2 P
7 P 3 P
9 P 7 P
0 1 P 9 P
5 6 Z A 0 1 P
5 6 B P 5 6 Z A
> = . m i r é P
9 8 5 8 6 7 6 . 3 9
9 4 7 8 0 7 5 . 6 3 1
9 6 6 7 8 7 2 . 5 4 1
8 4 1 6 6 0 8 . 6 5 1
4 4 1 5 7 4 1 . 6 6 1
4 7 0 1 8 6 6 . 9 5 1
8 6 5 6 6 4 6 . 8 9
. r r o C X . r r o C Y e t s E
e t r o N a i c n a t s i D
d a l u m u c A a i c n a t s i D
o d a L r o C t u m i z A . r r o C . g n Á 6 6 B P 6 6 Z
5 6 B P 5 6 Z
t u m i z A
T U M I Z A
9 8 5 8 6 7 6 . 3 9
8 6 5 6 6 4 6 . 8 7 2
. g e D . g n Á
O L U G N A
9 2 9 8 5 8 6 7 6 . 3 -
9 0 8 6 5 6 6 4 6 . 8 -
E T R O N D
2 4 3 . 6 6 -
6 9 1 . 9 2 1
E T S E D
5 7 3 . 2 3 0 1
9 8 5 . 9 4 8 -
A A
I N I N I F Z Z A A
9 8 5 8 6 7 6 . 3 9
l a t S n o z i r o H M o l u g n Á G e c i t r é V
5 5 6 6 Z B A P
7 5 2 3 8 8 3 . 2 8
6 1 0 4 9 8 . 2 2 2
1 5 4 7 1 8 . 5 2 1
1 4 4 0 9 8 . 2 4 2
8 4 8 7 2 5 . 1 9 1
0 0 9 0 4 3 . 9 8 1
3 9 5 0 2 5 . 3 7 1
9 4 5 8 7 9 . 8 1 1
0 0 7 4 0 7 5 . 6 3 1
2 2 9 6 7 8 3 . 2 8
2 2 9 6 7 7 2 . 5 4 1
2 2 9 1 5 0 8 . 6 5 1
8 7 4 7 5 4 1 . 6 6 1
6 5 2 0 6 6 6 . 9 5 1
9 8 5 3 4 4 6 . 8 9
1 1 1 6 3 9 8 . 2 2 2
2 2 2 2 7 1 8 . 5 2 1
0 0 0 0 0 9 8 . 2 4 2
0 0 0 5 7 2 5 . 1 9 1
6 5 5 5 0 4 3 . 9 8 1
8 7 7 2 0 2 5 . 3 7 1
3 3 3 3 8 7 9 . 8 1 1
7 2 4 9 6 3 3 2 3 2 1
8 0 3 . 0 3 7 9 9 5
n o i c a b o r p m o C 3 3 6 . 9 2 3 1 2 5 8
5 5 0 . 2 4 2 3
8 6 5 6 6 4 6 . 8 7 2
9 8 5 3 4 4 6 . 8 7 2
0 5 7 6 9 . 4 6 2 1
) L A N I F T U M I Z A O P M A C N E A D A G E L L E D T U M I Z A (
S E L B I S I M D A
0 6 0 4 . 0 0 6 1 2
7 2 . 8
. . m m 8 2 0
6 5 0 1 . 3 3 0 9 2 1 0 7 0 . 0 -
2 4
/ 0 1 3 9 3 1 0 1 5 4 5 3 2 3
6 6 Z A
8 5
2 5 2 1 9 3 2 2 4 9 8 7 2 1 2 1 1 1
8 1 1
6 6 2 3 7 9 0 1 B P P P P P P
5 6 Z A
. g n A m u S
. g n A r o r r E
s e c l i . t . r a t a g e e l n e n v i o L R A r . . . N E E E
5 6 B P
Profesor: JORGE MENDOZA DUEÑAS
8
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
CIRCUITO 2 :
PB65 - AZ65 PTO
E (UTM)
N(UTM)
PB65
600568.487
8521193.196
AZ65
599720.167
8521325.372
PTO
K (ESCALA)
K(ELEVACION)
FI
h
CONV. MERID
-13.37510916
4,221.822
-0.214867956
-13.37394276
4266.709
K(COMBINADO)
PB65
0.9997251112756
0.999334419
0.999059714
AZ65
0.9997230094532
0.999327348
0.999050543
PROMEDIO
0.999055128409
Profesor: JORGE MENDOZA DUEÑAS
9
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
LINEA AB
L(GEODESICA) 858.792
L(UTM)
L(TOPOGRÁFICA)
858.555
859.367
LINEA
t
(T-t)
t (REAL)
AB
-81.14400057
-9.39858E-06
278.8559994
PTO PB65 AZ65
E (TOPO) 600579.897
T(DEG)
ZG(RAD)
ZG(DEG)
278.85599
278.6411221
4.863205012
N(TOPO) 8521200.437
599,730.284
8,521,329.553
PTO
E (UTM)
N(UTM)
FI
h
CONV. MERID
PB65
600568.487
8521193.196
-13.37510916
4,221.822
0.214867956
AZ64
601183.306
8519390.272
-13.39138891
4224.746
PTO
K (ESCALA)
K(ELEVACION)
K(COMBINADO)
PB65 - AZ64
PB65
0.9997251112756
0.999334419
0.999059714
AZ64
0.9997266454921
0.99933396
0.999060787
PROMEDIO
0.999060230274
LINEA
L(GEODESICA)
L(UTM)
L(TOPOGRÁFICA)
AB
1,905.394
1,904.872
1,906.664
LINEA AB
t
(T-t)
-18.8300002
0.000128823
PTO
E (TOPO)
N(TOPO)
PB65
600579.897
8521200.437
AZ64
601,202.054
8,519,398.136
t (REAL) 161.1699998
T(DEG) 161.1701286
ZG(DEG) 160.9552607
ZG(RAD) 2.809199247
Profesor: JORGE MENDOZA DUEÑAS
10
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
PB65 - PB64 PTO
E (UTM)
N(UTM)
FI
h
CONV. MERID
PB65
600568.487
8521193.196
-13.37510916
4,221.822
-0.214867956
PB64
601578.364
8518539.939
-13.39906344
4201.037
K (ESCALA)
K(ELEVACION)
K(COMBINADO)
PTO PB65
0.9997251112756
0.999334419
0.999059714
PB64
0.9997276362884
0.999337695
0.999065512
PROMEDIO
LINEA AB
0.999062569188
L(GEODESICA) 2,839.725
L(UTM)
L(TOPOGRÁFICA)
2,838.948
2,841.612
LINEA
t
(T-t)
AB
-20.83771855
0.000189829
PTO
E (TOPO)
N(TOPO)
PB65
600579.897
8521200.437
PB64
601,600.665
8,518,548.496
t (REAL) 159.1622814
T(DEG) 159.1624713
ZG(DEG) 158.9476033
ZG(RAD) 2.774159016
Profesor: JORGE MENDOZA DUEÑAS
11
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
e c i t r é V . r r o C e t s E . r r o C e t r o N
5 5 4 5 6 7 8 9 0 1 4 4 6 6 1 1 1 6 6 1 1 2 2 Z B P P P 1 B P P P P P Z A P A P
4 8 2 . 0 3 7 9 9 5
3 5 5 . 9 2 3 1 2 5 8
. r r o C X
7 3 4 . 0 0 2 1 2 5 8
0 8 2 . 1 1 8 0 0 6
8 4 7 . 7 9 8 0 0 6
0 5 1 . 3 6 1 1 0 6
4 6 2 . 9 6 3 1 0 6
3 1 3 . 3 3 6 1 0 6
7 3 5 . 5 3 7 1 0 6
9 5 8 . 8 7 6 1 0 6
5 3 8 . 7 1 6 1 0 6
2 4 6 . 9 5 1 1 2 5 8
6 3 9 . 6 4 1 1 2 5 8
1 7 7 . 6 6 0 1 2 5 8
2 1 3 . 1 7 9 0 2 5 8
1 0 1 . 9 8 7 0 2 5 8
8 2 7 . 9 8 6 0 2 5 8
4 2 7 . 5 0 5 0 2 5 8
8 3 2 . 9 4 4 0 2 5 8
4 5 0 . 2 0 2 1 0 6
6 3 1 . 8 9 3 9 1 5 8
7 9 8 . 9 7 5 0 0 6
5 8 2 . 1 1 8 0 0 6
4 5 7 . 7 9 8 0 0 6
3 6 1 . 3 6 1 1 0 6
1 8 2 . 9 6 3 1 0 6
7 3 3 . 3 3 6 1 0 6
4 6 5 . 5 3 7 1 0 6
9 8 8 . 8 7 6 1 0 6
7 6 8 . 7 1 6 1 0 6
0 1 1 . 2 0 2 1 0 6
e t r o N
7 3 4 . 0 0 2 1 2 5 8
5 4 6 . 9 5 1 1 2 5 8
0 4 9 . 6 4 1 1 2 5 8
8 7 7 . 6 6 0 1 2 5 8
2 2 3 . 1 7 9 0 2 5 8
4 1 1 . 9 8 7 0 2 5 8
3 4 7 . 9 8 6 0 2 5 8
1 4 7 . 5 0 5 0 2 5 8
6 5 2 . 9 4 4 0 2 5 8
8 6 1 . 8 9 3 9 1 5 8
6 5 9 . 4 3 2
4 5 3 . 2 2 3
4 0 6 . 9 9 5
3 5 7 . 6 2 8
2 7 5 . 7 4 1 1
8 3 1 . 0 9 2 1
0 7 6 . 2 8 4 1
2 2 8 . 5 6 5 1
0 5 1 . 6 9 6 2
6 6 5 . 2 4 1
2 2 8 2 8 3 5 3 9 5 . 4 . 1 . . 0 8 2 3 3 3 9 8 1 1 1 9
a d a l u m u c A
a i c n a t s i D
8 6 3 . 9 5 8
6 8 0 9 9 5 9 5 4 1 9 2 . 3 . 1 . 8 . . 7 4 7 7 0 3 8 7 2 2 2 2 2 3
o d a L
5 6 B P 5 6 Z A
4 1 P 5 6 B P
4 5 6 7 8 9 0 1 6 1 1 1 1 1 2 2 Z P - P - A - P - P - P - P - P 4 5 6 7 8 9 0 1 1 1 1 1 1 1 2 2 P P P P P P P P
1 3 4 1 1 4 6 . 8 9
7 4 0 2 8 9 9 . 9 9
9 0 2 3 8 5 3 . 8 9
9 3 2 0 6 0 8 . 6 0 1
9 9 5 5 9 4 8 . 4 1 1
5 5 8 9 6 0 6 . 4 2 1
8 8 3 4 8 8 1 . 4 3 1
7 4 5 3 9 1 1 . 7 9 1
7 1 3 2 1 1 2 . 7 2 2
5 8 2 2 1 8 5 . 1 0 2
0 6 4 2 6 6 8 . 4 5 1
2 6 0 7 5 3 . 1 8 1
6 1 1 0 6 3 . 8 7 1
3 0 7 7 4 4 . 8 8 1
6 3 5 3 4 0 . 8 8 1
6 2 4 7 5 7 . 9 8 1
3 5 4 1 8 5 . 9 8 1
6 1 9 0 3 9 . 2 4 2
7 7 8 1 9 0 . 0 1 2
7 9 9 9 6 3 . 4 5 1
7 1 0 5 8 2 . 3 3 1
1 3 4 1 8 9 9 . 9 9
7 8 9 1 8 5 3 . 8 9
6 7 3 8 5 0 8 . 6 0 1
8 9 0 3 9 4 8 . 4 1 1
9 0 7 6 6 0 6 . 4 2 1
8 9 5 0 8 8 1 . 4 3 1
1 3 9 8 8 1 1 . 7 9 1
7 8 9 6 0 1 2 . 7 2 2
1 3 4 6 0 8 5 . 1 0 2
3 5 1 6 5 6 8 . 4 5 1
0 0 0 0 7 5 3 . 1 8 1
6 5 5 0 0 6 3 . 8 7 1
9 8 3 6 7 4 4 . 8 8 1
2 2 7 4 3 4 0 . 8 8 1
1 1 6 3 7 5 7 . 9 8 1
9 8 8 3 1 8 5 . 9 8 1
3 3 3 8 0 3 9 . 2 4 2
6 5 0 8 1 9 0 . 0 1 2
4 4 4 9 9 6 3 . 4 5 1
2 2 7 9 4 8 2 . 3 3 1
. r r o C t u m i z A . r r o C . g n Á
5 6 B P 5 6 Z A
4 6 B P 4 6 Z A
t u m i z A
T U M I Z A
1 3 4 1 1 4 6 . 8 9
6 4 2 6 6 8 . 4 3 3
. g e D . g n Á
O L U G N A
6 0 1 3 4 1 1 4 6 . 8 -
7 9 5 4 2 6 6 8 . 4 6 -
E T R O N D
6 1 1 . 9 2 1 -
0 4 6 . 9 4 8
E T S E D
3 1 6 . 9 4 8
1 1 6 . 8 9 3 -
S l a t n o z i r o M H o l u g n Á G e c i t r é V
n o i c a b o r p m o C 6 3 1 . 8 9 3 9 1 5 8
6 9 4 . 8 4 5 8 1 5 8
3 4 7 0 4 5 7 8 2 0 0 0 1 1 1 1 1 3 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0
e t s E
a i c n a t s i D
4 5 0 . 2 0 2 1 0 6
5 6 6 . 0 0 6 1 0 6
5 7 2 7 4 7 1 3 6 0 0 1 1 2 2 3 3 5 0 . 0 . 0 . 0 . 0 . 0 . . 0 . 0 . 0 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 -
. r r o C Y
I N N I I F Z Z A A
7 9 8 . 9 7 5 0 0 6
1 3 4 1 1 4 6 . 8 9
6 5 0 . 0
2 3 0 . 0
6 1 0 . 4 9 4 4
4 6 B P 4 6 Z A
0 5 1 . 6 9 6 2
> = . m i r é P
0 6 4 2 6 6 8 . 4 3 3
3 5 1 6 5 6 8 . 4 3 3
7 4 4 2 2 . 6 5 8 1
2 5 . 2 . 5 . 5 . 5 . 8 . 9 . 1 . 5 6 1 6 6 3 5 5 0 1 5 2 3 5 3 2 3 1
) L A N I F T U M I Z A - S E O L 0 2 P I B 0 6 . 0 M S 0 1 A I 1 3 C M D N E A A D A 7 G 2 . E 2 L L E D T U M I Z . . A ( m m 5 5 0 6 7 0 3 . 7 1 6 0 0 0 4 0 1 0 . 0 / 0 1
1 1 6 2 5 4 5 5 2 7 2 2 2 4 3 5 2 1
1 8 8 8 9 9 2 0 4 3 8 7 8 8 8 8 4 1 5 3 1 1 1 1 1 1 2 2 1 1
. g n A m u S
. g n A r o r s r e c l E i . t . r a t a g l e e n e n v i R A o L r . . . N E E E
5 5 4 5 6 7 8 9 0 1 4 4 6 6 1 1 1 1 1 1 2 2 6 6 Z B P P P P P P P P Z B A P A P
Profesor: JORGE MENDOZA DUEÑAS
12
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
CIRCUITO 3 :
PB64 - AZ64
PTO
E (UTM)
N(UTM)
FI
h
CONV. MERID
PB64
601578.364
8518539.939
-13.39906344
4,201.037
-0.217428867
AZ64
601183.306
8519390.272
- 13.39138891
4224.746
PTO
K (ESCALA)
K(ELEVACION)
K(COMBINADO)
PB64
0.9997276362884
0.999337695
0.999065512
AZ64
0.9997266454921
0.99933396
0.999060787
PROMEDIO
0.999063145117
Profesor: JORGE MENDOZA DUEÑAS
13
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
LINEA AB
LINEA AB
L(GEODESICA) 937.879
L(UTM) 937.623
t
(T-t)
-24.91920901
-6.11641E-05
L(TOPOGRÁFICA) 938.502
t (REAL) 335.080791
T(DEG)
ZG(DEG)
335.0807298
334.863301
PTO
E (TOPO)
PB64
601600.665
AZ64
601,202.009
8,519,398.119
PTO
E (UTM)
N(UTM)
FI
h
PB64
601578.364
8518539.939
-13.39906344
4,201.037
AZ63
604017.277
8517358.939
- 13.40965635
4137.012
PTO
K (ESCALA)
K(ELEVACION)
K(COMBINADO)
ZG(RAD) 5.844467146
N(TOPO) 8518548.496
PB64 - AZ63
PB64
0.9997276362884
0.999337695
0.999065512
AZ63
0.9997338390184
0.999347783
0.999081796
PROMEDIO
LINEA AB
LINEA AB
CONV. MERID -0.217428867
0.999073645241
L(GEODESICA) 2,710.538
L(UTM) 2,709.808
L(TOPOGRÁFICA) 2,712.320
t
(T-t)
t (REAL)
T(DEG)
ZG(DEG)
ZG(RAD)
-64.16224378
8.57398E-05
115.8377562
115.837842
115.6204131
2.017956891
PTO
E (TOPO)
N(TOPO)
PB64
601600.665
8518548.496
AZ63
604,046.306
8,517,375.670
Profesor: JORGE MENDOZA DUEÑAS
14
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
PB64 - AZ63 PTO
E (UTM)
N(UTM)
PB64
601578.364
8518539.939
-13.39906344
4,201.037
PB63
603886.233
8516775.543
- 13.41493553
4114.149
K(ELEVACION)
K(COMBINADO)
PTO
K (ESCALA)
FI
PB64
0.9997276362884
0.999337695
0.999065512
PB63
0.9997335019190
0.999351385
0.99908506
PROMEDIO
LINEA AB
LINEA AB
h
CONV. MERID -0.217428867
0.999075266858
L(GEODESICA) 2,905.839
L(UTM) 2,905.056
t
(T-t)
-52.60161516
0.000128039
PTO
E (TOPO)
N(TOPO)
PB64
601600.665
8518548.496
PB63
603, 917.351
L(TOPOGRÁFICA) 2,907.745
t (REAL) 127.3983848
T(DEG) 127.3985129
ZG(DEG) 127.181084
ZG(RAD) 2.219728662
8,516,791.241
Profesor: JORGE MENDOZA DUEÑAS
15
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
e c i t r é V
4 6 Z A
. r r o C e t s E
9 0 0 . 2 0 2 1 0 6
5 6 6 . 0 0 6 1 0 6
. r r o C e t r o N
9 1 1 . 8 9 3 9 1 5 8
6 9 4 . 8 4 5 8 1 5 8
8 0 0 . 5 8 3 3 0 6
3 5 5 . 7 8 9 3 0 6
1 4 2 . 5 2 0 4 0 6
0 9 5 . 5 9 3 7 1 5 8
7 0 5 . 0 8 2 7 1 5 8
5 5 3 . 3 0 5 7 1 5 8
9 7 6 . 2 6 4 7 1 5 8
6 0 3 . 6 4 0 4 0 6
1 5 3 . 7 1 9 3 0 6
0 7 6 . 5 7 3 7 1 5 8
1 4 2 . 1 9 7 6 1 5 8
6 0 3 . 6 4 0 4 0 6
n o i c a b o r p m o C 0 7 6 . 5 7 3 7 1 5 8
7 1 0 . 0 -
1 7 8 8 2 2 2 2 0 . 0 . 0 . 0 . 0 - 0 - 0 - 0 -
. r r o C Y
6 2 0 . 0
3 2 3 4 3 4 4 4 0 . 0 . 0 . 0 . 0 0 0 0
e t s E
5 6 6 . 0 0 6 1 0 6
8 5 7 . 3 2 9 2 0 6
9 2 0 . 5 8 3 3 0 6
0 8 5 . 7 8 9 3 0 6
9 6 2 . 5 2 0 4 0 6
4 3 3 . 6 4 0 4 0 6
8 2 0 . 0
e t r o N
6 9 4 . 8 4 5 8 1 5 8
4 6 5 . 5 9 3 7 1 5 8
4 7 4 . 0 8 2 7 1 5 8
2 1 3 . 3 0 5 7 1 5 8
6 3 6 . 2 6 4 7 1 5 8
6 2 6 . 5 7 3 7 1 5 8
4 4 0 . 0 -
4 4 9 . 4 5 7 1
6 5 3 . 0 3 2 2
2 9 7 . 2 7 8 2
5 4 2 . 8 2 9 2
9 6 7 . 7 1 0 3
a d a l u m u c A
a i c n a t s i D
2 0 5 . 8 3 9
4 4 9 . 4 5 7 1
2 1 4 . 5 7 4
6 3 4 . 2 4 6
3 5 4 . 5 5
4 2 5 . 9 8
7 8 4 . 8 9 5
8 5 7 . 4 5 5 4
o d a L
4 6 B P 4 6 Z A
8 3 P 4 6 B P
1 4 P 8 3 P
2 4 P 1 4 P
3 4 P 2 4 P
3 6 Z A 3 4 P
3 6 B P 3 6 Z A
> = . m i r é P
. r r o C t u m i z A
0 8 1 3 3 6 8 . 4 5 1
4 0 1 6 8 6 0 . 1 3 1
9 6 9 5 9 0 0 . 4 0 1
7 2 3 3 4 0 7 . 9 6
7 3 8 3 3 8 1 . 7 3 1
8 8 0 2 0 9 3 . 6 6 1
9 5 0 0 3 4 4 . 2 9 1
2 9 2 5 0 2 . 6 5 1
7 8 9 0 4 9 . 2 5 1
6 3 7 4 9 6 . 5 4 1
1 5 0 9 7 4 . 7 4 2
5 2 8 6 0 2 . 9 0 2
7 9 7 2 5 0 . 6 0 2
8 5 9 5 8 6 0 . 1 3 1
0 8 6 5 9 0 0 . 4 0 1
2 0 9 2 4 0 7 . 9 6
0 8 1 3 3 8 1 . 7 3 1
6 3 2 1 0 9 3 . 6 6 1
4 1 0 9 2 4 4 . 2 9 1
8 7 7 2 5 0 2 . 6 5 1
2 2 7 9 0 4 9 . 2 5 1
2 2 2 7 4 9 6 . 5 4 1
8 7 2 0 9 7 4 . 7 4 2
6 5 0 8 6 0 2 . 9 0 2
8 7 7 7 2 5 0 . 6 0 2
9 1
5 . 1 5 . 5 . 7 4 4 4 2 4 2
0 1
2 1
6 1 8 2 5 4 2 1
3
6 5 1
2 5 7 9 5 4 4 0 1 1 2 2
6 0 2
. r r o C . g n Á
4 6 B P 4 6 Z A
3 6 B P 3 6 Z A
t u m i z A
8 1 3 3 6 8 . 4 5 1
9 5 0 0 3 4 4 . 2 1
. g e D . g n Á
1 0 O 8 L 1 U 3 3 G 6 N 8 . A 4 6 -
9 0 4 9 9 6 5 5 . 7 7
E T R O N D
3 2 6 . 9 4 8 -
9 2 4 . 4 8 5
E T S E D
6 5 6 . 8 9 3
5 5 9 . 8 2 1
I N I
N I F Z A
Z A
2 4 7 . 3 2 9 2 0 6
3 6 B P
. r r o C X
a i c n a t s i D
T U M I Z A
4 8 1 2 3 3 6 3 4 4 4 6 B P P P P Z P A
l a t n o z i r o H o l u g n Á
0 8 1 3 3 6 8 . 4 5 1
S
9 5 0 0 3 4 4 . 2 1
) L A N I F T U M I Z A O P M A C N E A D A G E L L
4 1 0 9 2 4 4 . 2 1
8 5 9 7 5 . 7 1 1 1
S E L
B I S I M D A
E D T U M I Z A ( 0 1 0 0 6 0 . 0 -
0 9 0 4 . 0 4 0 2 1
8 3 . 0
. . m m 3 1 0 5 1 0 3 . 0 7 5
/ 0 1
M
G e c i t r é V
9 6 7 . 7 1 0 3
4 6 Z A
4 8 1 2 3 3 6 3 4 4 4 6 B P P P P Z P A
. g n A m u S
. g n A r o r s r e E i c l . t . r a t a g e e l n e n v i L R A o r . . . N E E E
3 6 B P
Profesor: JORGE MENDOZA DUEÑAS
16
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
CIRCUITO 4 :
PB63 - AZ63 PTO
E (UTM)
N(UTM)
FI
h
CONV. MERID
PB63
603886.233
8516775.543
-13.41493553
4,114.149
-0.222642532
AZ63
PTO
604017.277
K (ESCALA)
8517358.939
K(ELEVACION)
- 13.40965635
K(COMBINADO)
PB63
0.9997335019190
0.999351385
0.99908506
AZ63
0.9997338390184
0.999347783
0.999081796
PROMEDIO
LINEA AB
4137.012
0.999083425770
L(GEODESICA) 598.092
L(UTM) 597.933
LINEA
t
(T-t)
AB
12.65980723
-4.29905E-05
L(TOPOGRÁFICA) 598.481
t (REAL) 12.65980723
T(DEG) 12.65976424
ZG(DEG) 12.4371217
ZG(RAD) 0.217068723
Profesor: JORGE MENDOZA DUEÑAS
17
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
PTO
E (TOPO)
N(TOPO)
PB63
603917.351
8516791.241
AZ63
604,046.245
8,517,375.678
PB63 - PB62 PTO
E (UTM)
N(UTM)
PB63
603886.233
8516775.543
605572.639
8516300.561
PB62
PTO
K (ESCALA)
K(ELEVACION)
FI -13.41493553 -13.41917016
0.9997335019190
0.999351385
0.99908506
PB62
0.9997378714822
0.999360817
0.999098856
LINEA AB
LINEA AB
4,114.149
-0.222642532
4054.287
0.999091956747
L(GEODESICA) 1,752.483
L(UTM) 1,752.020
L(TOPOGRÁFICA) 1,753.612
t
(T-t)
t (REAL)
-74.26994506
3.51761E-05
105.7300549
105.7300901
N(UTM)
FI
h
CONV. MERID
8516775.543
-13.41493553
4,114.149
-0.222642532
PTO
E (TOPO)
PB63
603917.351
8516791.241
PB62
605,607.124
8,516,322.389
PB63
CONV. MERID
K(COMBINADO)
PB63
PROMEDIO
h
T(DEG)
ZG(DEG) 105.5074476
ZG(RAD) 1.841452346
N(TOPO)
– AZ62
PB63 - AZ62 PTO PB63 AZ62
PTO
E (UTM) 603886.233
604837.712
K (ESCALA)
8516109.168
K(ELEVACION)
-13.42092673
K(COMBINADO)
PB63
0.9997335019190
0.999351385
0.99908506
AZ62
0.9997359585469
0.999363425
0.999099551
PROMEDIO
4037.737
0.999092302987
Profesor: JORGE MENDOZA DUEÑAS
18
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
LINEA AB
LINEA AB
L(GEODESICA) 1,161.931
L(UTM) 1,161.623
t
(T-t)
-54.9942533
4.92345E-05
PTO
E (TOPO)
PB63
603917.351
8516791.241
AZ62
604,872.278
8,516,127.965
L(TOPOGRÁFICA) 1,162.678
t (REAL) 125.0057467
T(DEG)
ZG(DEG)
125.0057959
124.7831534
ZG(RAD) 2.177876878
N(TOPO)
Profesor: JORGE MENDOZA DUEÑAS
19
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
e c i t r é V
3 6 Z A
3 6 8 2 6 4 4 6 B P P Z P A
2 6 B P
. r r o C e t s E
5 4 2 . 6 4 0 4 0 6
1 5 3 . 7 1 9 3 0 6
8 7 2 . 2 7 8 4 0 6
4 2 1 . 7 0 6 5 0 6
. r r o C e t r o N
8 7 6 . 5 7 3 7 1 5 8
5 6 9 . 7 2 1 6 1 5 8
9 8 3 . 2 2 3 6 1 5 8
3 8 9 . 5 2 0 4 0 6
2 9 9 . 5 0 6 4 0 6
1 4 2 . 1 9 7 6 1 5 8
5 1 1 . 1 2 5 6 1 5 8
7 9 1 . 7 9 2 6 1 5 8
. r r o C X
2 0 0 . 0 -
7 0 0 . 0 -
0 1 0 . 0 -
. r r o C Y
1 0 0 . 0 -
5 0 0 . 0 -
6 0 0 . 0 -
e t s E
1 5 3 . 7 1 9 3 0 6
5 8 9 . 5 2 0 4 0 6
0 0 0 . 6 0 6 4 0 6
8 8 2 . 2 7 8 4 0 6
0 1 0 . 0
e t r o N
1 4 2 . 1 9 7 6 1 5 8
6 1 1 . 1 2 5 6 1 5 8
2 0 2 . 7 9 2 6 1 5 8
1 7 9 . 7 2 1 6 1 5 8
6 0 0 . 0
1 5 1 . 1 9 2
6 8 8 . 2 1 9
9 9 3 . 8 2 2 1
a i c n a t s i D
a d a l u m u c A
n o i c a b o r p m o C 5 6 9 . 7 2 1 6 1 5 8
a i c n a t s i D
2 8 4 . 8 9 5
1 5 1 . 1 9 2
5 3 7 . 1 2 6
3 1 5 . 5 1 3
1 3 1 . 0 6 7
2 1 0 . 7 8 5 2
o d a L
3 6 B P 3 6 Z A
6 4 P 3 6 B P
8 4 P 6 4 P
2 6 Z A 8 4 P
2 6 B P 2 6 Z A
> = . m i r é P
. r r o C t u m i z A
2 8 3 1 7 3 4 . 2 9 1
3 9 4 8 1 9 0 . 8 5 1
6 5 4 0 9 0 1 . 1 1 1
5 0 2 6 6 3 4 . 2 2 1
8 3 7 3 0 8 1 . 5 7
1 1 7 4 5 6 . 5 4 1
6 9 1 7 1 0 . 3 3 1
5 7 5 7 2 3 . 1 9 1
3 5 7 3 4 7 . 2 3 1
2 8 3 6 2 9 0 . 8 5 1
9 4 5 5 0 1 1 . 1 1 1
0 6 6 1 9 3 4 . 2 2 1
2 8 3 6 3 8 1 . 5 7
0 0 0 5 5 5 6 . 5 4 1
7 6 1 9 7 1 0 . 3 3 1
1 1 1 6 8 2 3 . 1 9 1
2 2 7 4 4 4 7 . 2 3 1
8 . 9 1
5 . 3 4 4
1 . 0 4
9 3
1 9 1
4 4
5 4 1
3 1 3 9 1 1
2 3 1
. r r o C . g n Á
3 6 B P 3 6 Z A
2 6 B P 2 6 Z A
t u m i z A
T U M I Z A
2 8 3 1 7 3 4 . 2 9 1
8 3 7 3 0 8 1 . 5 5 2
. g e D . g n Á
O L U G N A
9 7 1 6 8 2 6 5 . 7 7
3 2 6 2 6 9 1 8 . 4 1
E T R O N D
7 3 4 . 4 8 5 -
4 2 4 . 4 9 1 -
E T S E D
4 9 8 . 8 2 1 -
6 4 8 . 4 3 7 -
I N N I I F Z Z A A
8 7 2 . 2 7 8 4 0 6
l a t n o z i r o H o l u g n Á
S
8 3 7 3 0 8 1 . 5 5 2
2 8 3 6 3 8 1 . 5 5 2
0 5 6 4 7 . 2 0 6
) L A N I F T U M I Z A O P M A C N E A D A G E L L E D T U M I Z A (
S E L B I S I M D A
0 0 0 0 . 0 0 0 2 1
5 7 . 1 1
. . m m 2 6 0 1 0 0 6 . 8 2 0 3 0 3 1 0 4 0 . 0 / 0 1
M
G
e c i t r é V
2 8 3 1 7 3 4 . 2 9 1
9 9 3 . 8 2 2 1
. g n A m u S
. g n A r o r s r e E i c . t l t . r a a g e e l n e n v i L R A o r . . . N E E E
3 3 6 8 2 2 6 6 4 4 6 6 Z B P P Z B A P A P
Profesor: JORGE MENDOZA DUEÑAS
20
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
CIRCUITO 5 :
PB62 - AZ62 PTO
E (UTM)
N(UTM)
FI
PB62
605572.639
8516300.561
-13.41917016
4,054.287
AZ62
604837.712
8516109.168
- 13.42092673
4037.737
PTO
K (ESCALA)
K(ELEVACION)
0.9997378714822
0.999360817
0.999098856
AZ62
0.9997359585469
0.999363425
0.999099551
LINEA AB
-0.226331166
0.999099203504
L(GEODESICA) 759.640
L(UTM) 759.440
LINEA
t
(T-t)
AB
75.40300391
1.42934E-05
PTO
E (TOPO)
N(TOPO)
PB62
605607.124
8516322.389
AZ62
CONV. MERID
K(COMBINADO)
PB62
PROMEDIO
h
604,872.297
L(TOPOGRÁFICA) 760.125
t (REAL) 255.4030039
T(DEG)
ZG(DEG)
ZG(RAD)
255.4030182
255.176687
4.453673363
8,516,127.919
Profesor: JORGE MENDOZA DUEÑAS
21
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
PB62 - AZ61 PTO
E (UTM)
PB62
605572.639
AZ61
PTO
608235.972
K (ESCALA)
N(UTM) 8516300.561
FI -13.41917016
4,054.287
8516036.123
- 13.42146464
4155.914
K(ELEVACION)
K(COMBINADO)
PB62
0.9997378714822
0.999360817
0.999098856
AZ61
0.9997449156959
0.999344806
0.999089888
PROMEDIO
LINEA AB
h
CONV. MERID -0.226331166
0.999094371835
L(GEODESICA) 2,677.121
L(UTM) 2,676.429
L(TOPOGRÁFICA) 2,678.855
LINEA
t
(T-t)
t (REAL)
T(DEG)
AB
-84.32977924
1.99609E-05
95.67022076
95.67024073
PTO
E (TOPO)
PB62
605607.124
8516322.389
AZ61
608,273.896
8,516,068.243
ZG(DEG) 95.44390956
ZG(RAD) 1.665810473
N(TOPO)
PB62 - PB61 PTO
E (UTM)
N(UTM)
FI
h
CONV. MERID
PB62
605572.639
8516300.561
-13.41917016
4,054.287
-0.226331166
PB61
608691.585
8516015.177
-13.42163729
K (ESCALA)
K(ELEVACION)
K(COMBINADO)
PTO PB62
0.9997378714822
0.999360817
0.999098856
PB61
0.9997461383244
0.999341806
0.999088112
PROMEDIO
LINEA AB
4174.951
0.999093483419
L(GEODESICA) 3,132.783
L(UTM)
L(TOPOGRÁFICA)
3,131.975
3,134.817
Profesor: JORGE MENDOZA DUEÑAS
22
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
LINEA AB
PTO
t
(T-t)
-84.77198577
2.15727E-05
E (TOPO)
t (REAL) 95.22801423
T(DEG) 95.22803581
ZG(DEG) 95.00170464
ZG(RAD) 1.658092541
N(TOPO)
PB62
605607.124
8516322.389
PB61
608,730.004
8,516,049.079
Profesor: JORGE MENDOZA DUEÑAS
23
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
e c i t r é V
2 2 2 3 4 6 8 9 0 1 2 3 1 1 6 6 5 5 5 5 5 5 6 6 6 6 6 6 Z B P p p p p p p p p P Z B A P A P
. r r o C e t s E
7 9 2 . 2 7 8 4 0 6
4 2 1 . 7 0 6 5 0 6
. r r o C e t r o N
9 1 9 . 7 2 1 6 1 5 8
4 0 0 . 0 3 7 8 0 6
3 4 2 . 8 6 0 6 1 5 8
9 7 0 . 9 4 0 6 1 5 8
4 9 9 . 0 0 4 6 0 6
8 3 3 . 4 0 7 6 0 6
2 1 9 . 8 6 1 7 0 6
0 0 3 . 0 9 0 7 0 6
3 3 7 . 4 7 1 7 0 6
0 6 0 . 8 1 3 7 0 6
7 8 3 . 7 4 3 7 0 6
3 0 7 . 1 6 6 7 0 6
4 4 1 . 1 6 8 7 0 6
9 8 3 . 2 2 3 6 1 5 8
0 6 7 . 5 4 3 6 1 5 8
2 3 3 . 5 5 2 6 1 5 8
1 9 1 . 0 5 9 5 1 5 8
0 3 8 . 9 7 8 5 1 5 8
1 7 3 . 2 1 5 6 1 5 8
7 0 9 . 3 5 8 6 1 5 8
1 3 2 . 1 1 9 6 1 5 8
1 4 9 . 5 9 6 6 1 5 8
1 9 5 . 9 3 5 6 1 5 8
2 6 8 . 3 9 1 6 1 5 8
. r r o C X
0 0 0 . 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 0 0 0 0 0 0 0 0 0
. r r o C Y
3 0 0 . 0 -
5 8 1 6 8 9 1 3 6 8 0 0 1 1 1 1 2 2 2 2 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 -
e t s E
4 2 1 . 7 0 6 5 0 6
6 9 7 . 6 3 0 6 0 6
4 9 9 . 0 0 4 6 0 6
8 3 3 . 4 0 7 6 0 6
2 1 9 . 8 6 1 7 0 6
0 0 3 . 0 9 0 7 0 6
3 3 7 . 4 7 1 7 0 6
0 6 0 . 8 1 3 7 0 6
7 8 3 . 7 4 3 7 0 6
3 0 7 . 1 6 6 7 0 6
3 4 1 . 1 6 8 7 0 6
6 9 8 . 3 7 2 8 0 6
0 0 0 . 0
e t r o N
9 8 3 . 2 2 3 6 1 5 8
3 6 7 . 5 4 3 6 1 5 8
7 3 3 . 5 5 2 6 1 5 8
9 9 1 . 0 5 9 5 1 5 8
1 4 8 . 9 7 8 5 1 5 8
7 8 3 . 2 1 5 6 1 5 8
5 2 9 . 3 5 8 6 1 5 8
0 5 2 . 1 1 9 6 1 5 8
1 6 9 . 5 9 6 6 1 5 8
4 1 6 . 9 3 5 6 1 5 8
7 8 8 . 3 9 1 6 1 5 8
1 7 2 . 8 6 0 6 1 5 8
8 2 0 . 0
7 0 3 . 0 3 4
3 6 5 . 5 0 8
7 2 8 . 5 3 2 1
8 9 6 . 5 0 7 1
0 1 1 . 3 4 3 2
0 3 9 . 4 9 6 2
6 9 2 . 9 4 8 2
3 7 5 . 6 6 0 3
7 2 6 . 7 1 4 3
5 5 7 . 6 1 8 3
9 9 1 . 8 4 2 4
6 5 2 . 5 7 3
4 6 2 . 0 3 4
1 7 8 . 9 6 4
2 1 4 . 7 3 6
0 2 8 . 1 5 3
6 6 3 . 4 5 1
7 7 2 . 7 1 2
4 5 0 . 1 5 3
8 2 1 . 9 9 3
a i c n a t s i D
a d a l u m u c A
6 9 8 . 3 7 2 8 0 6
n o i c a b o r p m o C 3 4 2 . 8 6 0 6 1 5 8
a i c n a t s i D
5 2 1 . 0 6 7
7 0 3 . 0 3 4
4 4 4 . 1 3 4
0 1 5 . 6 5 4
4 3 8 . 4 6 4 5
o d a L
2 6 B P 2 6 Z A
2 3 4 6 8 9 0 1 2 3 1 5 5 5 5 5 5 6 6 6 6 6 P Z p p p p p p p p - P - A 2 2 4 6 8 9 0 1 2 3 6 5 3 5 5 5 5 6 6 6 B P 5 p p p p p p p p 6 P P
1 6 B P 1 6 Z A
> = . m i r é P
5 5 5 6 6 7 1 . 5 7
6 8 0 2 6 8 8 . 6 8
3 0 2 8 3 4 9 . 3 0 1
0 0 4 9 8 6 1 . 5 3 1
1 9 9 7 1 1 6 . 8 9
1 0 3 7 5 1 9 . 2 5 3
1 4 4 8 5 8 8 . 3 7 3
1 9 9 6 0 0 2 . 8 2 4
5 4 0 8 2 4 2 . 2 3 5
8 3 6 7 6 4 4 . 6 7 4
0 6 9 4 0 2 0 . 0 1 5
5 2 6 9 6 2 9 . 6 6 4
2 5 4 9 5 0 4 . 2 5 4
3 5 5 9 0 7 . 1 9 1
2 1 6 7 5 0 . 7 9 1
0 2 1 5 2 2 . 1 1 2
9 5 8 2 4 4 . 3 4 1
1 3 9 3 0 3 . 4 7
4 1 1 0 7 9 . 0 0 2
5 5 8 4 1 3 . 4 3 2
5 0 1 2 4 0 . 4 8 2
9 5 9 3 0 2 . 4 2 1
2 3 7 3 7 5 . 3 1 2
7 6 4 6 0 9 . 6 3 1
3 8 9 8 7 4 . 5 6 1
9 9 9 0 6 8 8 . 6 8
9 9 9 5 3 4 9 . 3 0 1
9 9 9 5 8 6 1 . 5 3 1
7 7 7 3 1 1 6 . 8 9
6 6 6 2 5 1 9 . 2 5 3
6 6 6 2 5 8 8 . 3 7 3
8 8 8 9 9 9 1 . 8 2 4
2 3 3 9 1 4 2 . 2 3 5
1 2 2 8 5 4 4 . 6 7 4
2 3 3 4 9 1 0 . 0 1 5
1 2 2 8 5 2 9 . 6 6 4
0 1 1 7 4 0 4 . 2 5 4
4 4 4 4 9 0 7 . 1 9 1
0 0 0 5 7 5 0 . 7 9 1
0 0 0 0 5 2 2 . 1 1 2
8 7 7 7 2 4 4 . 3 4 1
9 8 8 8 3 0 3 . 4 7
0 0 0 0 0 7 9 . 0 0 2
2 2 2 7 4 1 3 . 4 3 2
4 4 4 9 1 4 0 . 4 8 2
9 8 8 8 3 0 2 . 4 2 1
1 1 1 6 3 7 5 . 3 1 2
9 8 8 3 6 0 9 . 6 3 1
9 8 8 8 8 7 4 . 5 6 1
4 3
7 0 4 4 2 3 1 4 5 3 2 3 3 1 1 5 3 1 2 2
4 4
2 4
6 8 8 8 2 4 4 3 3 1 2 1 5 1 2 1 3 5
8 2
1 9 1
7 1 3 0 4 4 4 3 6 9 1 4 4 0 3 8 2 1 3 1 2 1 7 2 2 2 1 2 1
5 6 1
. r r o C t u m i z A . r r o C . g n Á
2 6 B P 2 6 Z A
1 6 B P 1 6 Z A
t u m i z A
T U M I Z A
5 5 5 6 6 7 1 . 5 7
2 5 4 9 5 0 4 . 2 7 2
. g e D . g n Á
O L U G N A
4 5 4 4 3 3 2 8 . 4 1
6 2 2 5 4 9 5 0 4 . 2 -
E T R O N D
7 4 . 4 9 1
4 6 1 . 9 1
E T S E D
7 2 8 . 4 3 7
8 0 1 . 6 5 4 -
I N N I I F Z Z A A
6 9 8 . 3 7 2 8 0 6
6 9 7 . 6 3 0 6 0 6
l a t n o z i r o H o l u g n Á
S
2 5 4 9 5 0 4 . 2 7 2
0 1 1 7 4 0 4 . 2 7 2
6 0 8 2 2 . 7 7 1 2
) L A N I F T U M I Z A O P M A C N E A D A G E L L E D T U M I Z A (
S E L B I S I M D A
0 4 0 6 . 0 4 0 3 1
4 4 . 4
. . m m 8 1 0 2 9 0 3 . 0 9 2 1 2 0 4 1 0 1 0 . 0 / 0 1
M
G e c i t r é V
5 5 5 6 6 7 1 . 5 7
9 9 1 . 8 4 2 4
. g n A m u S
. g n A r o s r r e E i c l . t . r a t a e e l n e g v i n L R A o r . . . N E E E
2 2 2 3 4 6 8 9 0 1 2 3 1 1 6 6 5 5 5 5 5 5 6 6 6 6 6 6 Z B P p p p p p p p p P Z B A P A P
Profesor: JORGE MENDOZA DUEÑAS
24
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
CIRCUITO 6 :
PB61 - AZ61 PTO
E (UTM)
N(UTM)
FI
h
CONV. MERID
PB61
608691.585
8516015.177
-13.42163729
4,174.951
-0.233062825
608235.972
8516036.123
-13.42146464
4155.914
AZ61
PTO
K (ESCALA)
K(ELEVACION)
K(COMBINADO)
PB61
0.9997461383244
0.999341806
0.999088112
AZ61
0.9997449156959
0.999344806
0.999089888
PROMEDIO
LINEA AB
0.999089000080
L(GEODESICA) 456.210
L(UTM) 456.094
L(TOPOGRÁFICA) 456.510
LINEA
t
(T-t)
t (REAL)
T(DEG)
AB
-87.36778149
-1.61197E-06
272.6322185
272.6322169
ZG(DEG) 272.3991541
ZG(RAD) 4.754262118
Profesor: JORGE MENDOZA DUEÑAS
25
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
PTO
E (TOPO)
N(TOPO)
PB61
608730.004
8516049.079
AZ61
608,273.894
8,516,068.189
PB61 - PB60 PTO
E (UTM)
N(UTM)
FI
h
CONV. MERID
PB61
608691.585
8516015.177
-13.42163729
4,174.951
-0.233062825
611928.908
8516977.283
- 13.41281812
4123.136
PB60
PTO
K (ESCALA)
K(ELEVACION)
K(COMBINADO)
PB61
0.9997461383244
0.999341806
0.999088112
PB60
0.9997549736883
0.999349969
0.999105102
PROMEDIO
LINEA AB
LINEA AB
0.999096601080
L(GEODESICA) 3,378.106
L(UTM) 3,377.263
t
(T-t)
73.44848002
-7.4882E-05
PTO
E (TOPO)
N(TOPO)
PB61
608730.004
8516049.079
PB60
611,966.309
8,517,025.232
L(TOPOGRÁFICA) 3,380.317
t (REAL) 73.44848002
T(DEG)
ZG(DEG)
ZG(RAD)
73.44840514
73.21534231
1.277848786
PB61 - AZ60 PTO
E (UTM)
N(UTM)
PB61
608691.585
8516015.177
AZ60
PTO
611399.967
8516254.893
K (ESCALA)
K(ELEVACION)
FI -13.42163729
4,174.951
- 13.41936918
4136.368
CONV. MERID -0.233062825
K(COMBINADO)
PB61
0.9997461383244
0.999341806
0.999088112
AZ60
0.9997535122848
0.999347885
0.999101558
PROMEDIO
h
0.999094834459
Profesor: JORGE MENDOZA DUEÑAS
26
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
LINEA AB
LINEA AB
L(GEODESICA) 2,719.650
L(UTM) 2,718.970
t
(T-t)
84.94199209
-1.86275E-05
PTO
E (TOPO)
PB61
608730.004
8516049.079
AZ60
611,439.841
8,516,300.038
L(TOPOGRÁFICA) 2,721.433
t (REAL) 84.94199209
T(DEG) 84.94197346
ZG(DEG)
ZG(RAD)
84.70891064
1.478449396
N(TOPO)
Profesor: JORGE MENDOZA DUEÑAS
27
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
e c i t r é V
1 1 0 0 9 2 4 5 6 7 8 9 6 6 6 8 6 7 7 7 7 7 7 7 Z 6 Z B 6 B A P P P P P P P P P P A P
. r r o C e t s E
4 9 8 . 3 7 2 8 0 6
4 0 0 . 0 3 7 8 0 6
. r r o C e t r o N
9 8 1 . 8 6 0 6 1 5 8
4 5 4 . 4 6 9 8 0 6
8 6 3 . 7 4 1 9 0 6
9 6 9 . 0 9 5 9 0 6
5 9 3 . 5 6 0 0 1 6
1 0 5 . 4 2 3 0 1 6
5 8 9 . 9 6 5 0 1 6
2 1 3 . 2 9 8 0 1 6
5 0 1 . 9 3 1 1 1 6
8 0 2 . 1 8 3 1 1 6
9 7 0 . 9 4 0 6 1 5 8
8 4 1 . 8 7 8 5 1 5 8
3 8 3 . 0 7 9 5 1 5 8
5 7 1 . 5 5 2 5 1 5 8
1 9 6 . 2 7 4 5 1 5 8
1 6 3 . 8 5 6 5 1 5 8
8 9 7 . 6 4 8 5 1 5 8
9 0 4 . 0 0 0 6 1 5 8
5 7 0 . 2 6 1 6 1 5 8
8 2 5 . 5 4 2 6 1 5 8
. r r o C X
1 0 0 . 0
1 0 0 . 0
3 0 0 . 0
4 0 0 . 0
5 0 0 . 0
6 0 0 . 0
7 0 0 . 0
7 0 0 . 0
8 0 0 . 0
8 0 0 . 0
. r r o C Y
4 6 8 4 9 3 7 1 5 6 0 0 1 2 2 3 3 4 4 4 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 -
9 0 3 . 6 6 9 1 1 6
8 3 0 . 0 0 3 6 1 5 8
2 3 2 . 5 2 0 7 1 5 8
1 4 8 . 9 3 4 1 1 n 6 o i c a b o r p m o C 8 3 0 . 0 0 3 6 1 5 8
e t s E
4 0 0 . 0 3 7 8 0 6
3 5 4 . 4 6 9 8 0 6
7 6 3 . 7 4 1 9 0 6
6 6 9 . 0 9 5 9 0 6
1 9 3 . 5 6 0 0 1 6
6 9 4 . 4 2 3 0 1 6
0 8 9 . 9 6 5 0 1 6
6 0 3 . 2 9 8 0 1 6
8 9 0 . 9 3 1 1 1 6
0 0 2 . 1 8 3 1 1 6
3 3 8 . 9 3 4 1 1 6
8 0 0 . 0 -
e t r o N
9 7 0 . 9 4 0 6 1 5 8
2 5 1 . 8 7 8 5 1 5 8
0 9 3 . 0 7 9 5 1 5 8
3 9 1 . 5 5 2 5 1 5 8
5 1 7 . 2 7 4 5 1 5 8
9 8 3 . 8 5 6 5 1 5 8
1 3 8 . 6 4 8 5 1 5 8
7 4 4 . 0 0 0 6 1 5 8
6 1 1 . 2 6 1 6 1 5 8
3 7 5 . 5 4 2 6 1 5 8
4 8 0 . 0 0 3 6 1 5 8
6 4 0 . 0
2 4 1 . 0 9 2
6 9 9 . 4 9 4
4 9 5 . 6 3 3 1
9 0 5 . 8 5 8 1
3 7 2 . 7 7 1 2
4 4 7 . 6 8 4 2
4 0 8 . 3 4 8 2
5 3 8 . 8 3 1 3
8 1 9 . 4 9 3 3
6 7 9 . 4 7 4 3
1 3 6 . 7 2 8 4
a i c n a t s i D
a d a l u m u c A
a i c n a t s i D
0 1 5 . 6 5 4
2 4 1 . 0 9 2
4 5 8 . 4 0 2
8 9 5 . 1 4 8
5 1 9 . 1 2 5
4 6 7 . 8 1 3
1 7 4 . 9 0 3
0 6 0 . 7 5 3
1 3 0 . 5 9 2
3 4 8 8 5 4 0 1 . 0 . . 6 6 0 5 8 9 8 2
o d a L
1 6 B P 1 6 Z A
8 6 P 1 6 B P
9 6 P 8 6 P
2 7 P 9 6 P
4 7 P 2 7 P
5 7 P 4 7 P
6 7 P 5 7 P
7 7 P 6 7 P
8 7 P 7 7 P
9 7 P 8 7 P
0 0 6 6 Z B P A 9 0 7 6 P Z A
. r r o C t u m i z A
2 3 6 1 9 9 3 . 2 9
5 9 0 2 4 9 0 . 6 2 1
4 1 4 5 9 3 2 . 3 6
4 4 5 8 0 9 1 . 8 4 1
4 8 7 6 8 6 3 . 5 6
8 7 4 7 4 7 3 . 4 5
4 4 3 9 8 8 4 . 2 5
0 9 9 1 8 1 5 . 4 6
3 6 1 8 1 7 7 . 6 5
4 3 0 1 0 8 9 . 0 7
8 5 7 6 6 8 0 . 7 4
7 7 6 4 8 7 9 . 5 3
6 4 0 5 9 6 . 3 1 2
2 3 3 5 4 1 . 7 1 1
3 1 3 1 5 9 . 4 6 2
4 2 8 7 7 1 . 7 9
9 6 0 6 0 0 . 9 6 1
7 8 1 4 1 1 . 8 7 1
5 6 2 9 2 0 . 2 9 1
7 1 6 3 5 2 . 2 7 1
7 8 2 8 0 2 . 4 9 1
2 7 5 6 0 1 . 6 5 1
2 9 7 1 9 8 . 8 6 1
8 8 1 7 4 9 0 . 6 2 1
9 9 2 3 0 4 2 . 3 6
3 4 7 2 2 9 1 . 8 4 1
9 9 2 3 0 7 3 . 5 6
1 2 0 8 6 7 3 . 4 5
2 3 1 4 1 9 4 . 2 5
4 5 3 1 1 2 5 . 4 6
2 3 6 1 5 7 7 . 6 5
2 3 1 9 3 8 9 . 0 7
6 7 5 8 0 9 0 . 7 4
0 2 5 0 3 8 9 . 5 3
6 5 5 5 5 9 6 . 3 1 2
1 1 1 6 5 4 1 . 7 1 1
4 4 4 9 1 5 9 . 4 6 2
6 5 5 0 8 7 1 . 7 9
2 2 7 4 6 0 0 . 9 6 1
1 1 1 6 4 1 1 . 8 7 1
2 2 2 7 9 2 0 . 2 9 1
8 7 2 0 4 5 2 . 2 7 1
0 0 5 7 8 0 2 . 4 9 1
4 4 4 9 6 0 1 . 6 5 1
4 4 9 1 2 9 8 . 8 6 1
2 3 . . 6 . 7 5 . 5 . 5 4 1 4 4 7 4 3 2 4 4 1 2 4 2 5 1 3
9 . 1 3
. r r o C . g n Á
1 6 B P 1 6 Z A
0 6 B P 0 6 Z A
t u m i z A
T U M I Z A
2 3 6 1 9 9 3 . 2 9
7 7 6 4 8 7 9 . 5 1 2
. g e D . g n Á
O L U G N A
9 1 2 3 6 1 9 9 3 . 2 -
8 2 2 3 5 1 2 0 . 4 5
E T R O N D
1 1 . 9 1 -
4 9 1 . 5 2 7 -
E T S E D
0 1 1 . 6 5 4
8 6 4 . 6 2 5 -
I N N I I F Z Z A A
1 4 8 . 9 3 4 1 1 6
S l a t n o z i r o H o l u g n Á
> = . m i r é P
7 7 6 4 8 7 9 . 5 1 2
0 2 5 0 3 8 9 . 5 1 2
9 8 3 8 5 . 3 2 9 1
) L A N I F T U M I Z A - S O E P L 0 7 0 1 I M B . 0 3 S A I 0 3 C M 1 N D E A A D A G 0 5 E . L 6 L 1 E D T U M I Z . . A ( m m 6 7 0 4 6 0 0 8 . 5 0 5 7 4 1 0 1 0 . 0 / 0 1
M
G
e c i t r é V
2 3 6 1 9 9 3 . 2 9
6 7 9 . 4 7 4 3
1 7 0 5 2 4 8 5 1 0 6 1 1 1 6
3 5
3 7 4 7 9 8 2 2 4 6 1 1 6 9 6 7 9 7 9 5 2 1 2 1 1 1 1 1 1
8 6 1
. g n A m u S
. g n A r o r r s e E i c l . t . r a t a g e e l n e n v i L R A o r . . . N E E E
1 1 0 9 2 4 5 6 7 8 9 0 6 6 8 6 6 7 7 7 7 7 7 7 6 Z B 6 Z B A P P P P P P P P P P A P
Profesor: JORGE MENDOZA DUEÑAS
28
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
CIRCUITO 7 :
PB60 - AZ60
PTO
E (UTM)
N(UTM)
FI
h
PB60
611928.908
8516977.283
-13.41281812
4,123.136
AZ60
611399.967
8516254.893
- 13.41936918
4136.368
PTO
K (ESCALA)
K(ELEVACION)
-0.239841683
K(COMBINADO)
PB60
0.9997549736883
0.999349969
0.999105102
AZ60
0.9997535122848
0.999347885
0.999101558
PROMEDIO
CONV. MERID
0.999103326892
Profesor: JORGE MENDOZA DUEÑAS
29
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
LINEA AB
L(GEODESICA) 895.556
L(UTM) 895.336
LINEA
t
(T-t)
AB
36.21195185
5.72398E-05
L(TOPOGRÁFICA) 896.139
t (REAL)
T(DEG)
216.2119518
216.2120091
FI
h
PTO
E (TOPO)
PB60
611966.309
8517025.232
AZ60
611,439.924
8,516,299.984
PTO
E (UTM)
N(UTM)
PB60
611928.908
8516977.283
-13.41281812
4,123.136
AZ59
612632.165
8519936.001
-13.38604184
4059.414
ZG(DEG)
ZG(RAD)
215.9721674
3.769425414
N(TOPO)
PB60 - AZ59
PTO
K (ESCALA)
K(ELEVACION)
0.9997549736883
0.999349969
0.999105102
AZ59
0.9997569277297
0.999360008
0.999117091
LINEA AB
-0.239841683
K(COMBINADO)
PB60
PROMEDIO
CONV. MERID
0.999111042037
L(GEODESICA) 3,041.891
L(UTM) 3,041.148
LINEA
t
(T-t)
AB
13.37051045
-0.000235301
PTO
E (TOPO)
N(TOPO)
PB60
611966.309
8517025.232
AZ59
612,657.777
8,519,989.506
L(TOPOGRÁFICA) 3,043.854
t (REAL) 13.37051045
T(DEG) .37027515
ZG(DEG) 13.13043347
ZG(RAD) 0.229169296
Profesor: JORGE MENDOZA DUEÑAS
30
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
PB60 - PB59 PTO
E (UTM)
N(UTM)
PB60
611928.908
8516977.283
613296.358
8519261.974
PB59
PTO
K (ESCALA)
K(ELEVACION)
FI
h
CONV. MERID
-13.41281812
4,123.136
-0.239841683
- 13.39211035
4026.16
K(COMBINADO)
PB60
0.9997549736883
0.999349969
0.999105102
PB59
0.9997587839519
0.999365247
0.999124184
PROMEDIO
LINEA AB
LINEA AB
0.999114610643
L(GEODESICA) 2,663.303
L(UTM) 2,662.655
t
(T-t)
30.90167366
-0.000182055
PTO
E (TOPO)
PB60
611966.309
PB59
613,325.379
L(TOPOGRÁFICA) 2,665.015
t (REAL) 30.90167366
T(DEG) 30.90149161
ZG(DEG) 30.66164992
ZG(RAD) 0.535146745
N(TOPO) 8517025.232 8,519,317.661
Profesor: JORGE MENDOZA DUEÑAS
31
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
e c i t r é V
0 6 Z A
0 4 5 7 8 0 1 2 3 4 5 6 9 9 6 8 8 8 8 9 9 9 9 9 9 9 5 5 B P P P P P P P P P P P Z B P A P
. r r o C e t s E
4 2 9 . 9 3 4 1 1 6
9 0 3 . 6 6 9 1 1 6
. r r o C e t r o N
4 8 9 . 9 9 2 6 1 5 8
2 3 2 . 5 2 0 7 1 5 8
1 1 9 . 7 2 2 2 1 6
9 6 2 . 6 2 5 2 1 6
7 9 6 . 5 4 9 2 1 6
9 4 6 . 5 0 7 2 1 6
8 7 5 . 8 2 6 2 1 6
4 5 4 . 5 4 6 2 1 6
4 6 1 . 8 8 6 2 1 6
8 1 9 . 5 4 5 2 1 6
3 4 9 . 5 1 5 2 1 6
4 3 5 . 1 5 5 2 1 6
2 0 0 . 0 1 6 2 1 6
7 9 7 7 7 . 3 . 7 5 5 2 6 3 2 3 1 1 6 6
6 1 1 . 8 5 3 7 1 5 8
5 5 7 . 5 6 4 7 1 5 8
4 5 2 . 4 3 7 7 1 5 8
8 1 0 . 5 7 1 8 1 5 8
0 6 9 . 6 9 4 8 1 5 8
2 6 5 . 4 8 7 8 1 5 8
8 7 9 . 1 8 9 8 1 5 8
4 1 0 . 7 7 1 9 1 5 8
6 1 0 . 4 8 3 9 1 5 8
8 7 0 . 3 3 6 9 1 5 8
9 7 1 . 7 1 8 9 1 5 8
6 1 0 6 5 . 6 . 9 7 8 1 9 3 9 9 1 1 5 5 8 8
7 7 7 . 7 5 6 2 1 n 6 o i c a b o r p m o 6 C 0 5 . 9 8 9 9 1 5 8
. r r o C X
4 0 0 . 0 -
7 2 6 0 2 4 6 8 1 3 4 0 1 1 2 2 2 2 2 3 3 3 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 -
. r r o C Y
1 0 0 . 0 -
1 0 0 . 0 -
2 0 0 . 0 -
3 0 0 . 0 -
3 0 0 . 0 -
4 0 0 . 0 -
4 0 0 . 0 -
4 0 0 . 0 -
5 0 0 . 0 -
5 0 0 . 0 -
6 0 0 . 0 -
6 0 0 . 0 -
e t s E
9 0 3 . 6 6 9 1 1 6
5 1 9 . 7 2 2 2 1 6
6 7 2 . 6 2 5 2 1 6
9 0 7 . 5 4 9 2 1 6
6 6 6 . 5 0 7 2 1 6
7 9 5 . 8 2 6 2 1 6
6 7 4 . 5 4 6 2 1 6
9 8 1 . 8 8 6 2 1 6
4 4 9 . 5 4 5 2 1 6
1 7 9 . 5 1 5 2 1 6
4 6 5 . 1 5 5 2 1 6
4 3 0 . 0 1 6 2 1 6
1 1 8 . 7 5 6 2 1 6
4 3 0 . 0
e t r o N
2 3 2 . 5 2 0 7 1 5 8
7 1 1 . 8 5 3 7 1 5 8
6 5 7 . 5 6 4 7 1 5 8
6 5 2 . 4 3 7 7 1 5 8
1 2 0 . 5 7 1 8 1 5 8
4 6 9 . 6 9 4 8 1 5 8
6 6 5 . 4 8 7 8 1 5 8
2 8 9 . 1 8 9 8 1 5 8
8 1 0 . 7 7 1 9 1 5 8
1 2 0 . 4 8 3 9 1 5 8
3 8 0 . 3 3 6 9 1 5 8
4 8 1 . 7 1 8 9 1 5 8
2 1 5 . 9 8 9 9 1 5 8
6 0 0 . 0
9 7 3 . 3 2 4
3 6 5 . 0 4 7
5 7 5 . 8 3 2 1
6 6 4 . 0 4 7 1
5 0 5 . 1 7 0 2
2 0 6 . 9 5 3 2
6 8 5 . 1 6 5 2
3 8 9 . 2 0 8 2
4 4 1 . 2 1 0 3
7 3 7 . 3 6 2 3
0 0 9 . 6 5 4 3
8 2 7 . 5 3 6 3
2 1 0 . 8 9 4
1 9 8 . 1 0 5
9 3 0 . 1 3 3
7 9 0 . 8 8 2
4 8 9 . 1 0 2
7 9 3 . 1 4 2
1 6 1 . 9 0 2
3 9 5 . 1 5 2
3 6 1 . 3 9 1
8 2 8 . 8 7 1
7 3 1 . 7 4 9
4 0 0 . 9 7 4 5
a i c n a t s i D
a d a l u m u c A
a i c n a t s i D
9 3 1 . 6 9 8
9 7 3 . 3 2 4
4 8 1 . 7 1 3
o d a L
0 6 B P 0 6 Z A
4 8 P 0 6 B P
9 5 5 7 8 0 1 2 3 4 5 6 9 B 8 8 8 9 9 9 9 9 9 9 5 Z P P - P - P - P - P - P - P - P - P - P - A 9 4 5 7 8 0 1 2 3 4 5 8 8 8 8 9 9 9 9 9 9 6 9 5 P P P P P P P P P P P Z A
. r r o C t u m i z A
0 5 4 1 2 7 9 . 5 3
3 8 1 9 2 6 1 . 8 3
4 0 9 0 2 6 1 . 0 7
1 4 3 7 4 7 3 . 7 5
4 2 0 0 7 2 4 . 1 3 3
8 2 3 6 7 3 5 . 6 4 3
6 5 7 6 8 5 3 . 3 6 3
4 0 1 2 8 0 2 . 2 7 3
5 1 4 9 5 9 8 . 3 2 3
0 5 8 9 0 6 7 . 1 5 3
2 1 0 0 3 3 1 . 8 6 3
6 6 5 7 9 1 6 . 7 7 3
2 7 0 7 5 9 4 . 5 7 3
7 6 9 4 1 8 1 . 5 9 4
3 7 7 0 9 1 . 2 8 1
2 7 1 9 9 9 . 1 1 2
4 4 6 2 1 2 . 7 6 1
8 6 2 2 5 0 . 4 9
0 3 6 0 1 1 . 5 9 1
3 4 0 1 2 8 . 6 9 1
5 3 5 9 4 8 . 8 8 1
1 3 7 7 8 6 . 1 3 1
3 4 0 5 6 8 . 7 0 2
6 1 0 2 7 3 . 6 9 1
5 5 7 6 8 4 . 9 8 1
1 5 9 5 7 8 . 7 7 1
9 8 7 5 8 6 . 9 9 2
2 7 6 3 3 6 1 . 8 3
6 1 6 0 3 6 1 . 0 7
2 7 1 1 6 7 3 . 7 5
2 7 1 6 8 2 4 . 1 3 3
3 8 2 7 9 3 5 . 6 4 3
1 6 5 2 1 6 3 . 3 6 3
1 6 5 2 1 1 2 . 2 7 3
7 1 1 3 9 9 8 . 3 2 3
3 7 6 8 4 6 7 . 1 5 3
3 7 6 3 7 3 1 . 8 6 3
5 9 8 5 4 2 6 . 7 7 3
4 8 7 9 0 0 5 . 5 7 3
2 6 0 5 7 8 1 . 5 9 4
2 2 2 2 1 9 1 . 2 8 1
4 4 9 6 9 9 9 . 1 1 2
6 5 5 0 3 1 2 . 7 6 1
0 0 0 5 2 5 0 . 4 9
1 1 1 1 1 1 1 . 5 9 1
8 7 2 5 1 2 8 . 6 9 1
0 0 0 0 0 5 8 . 8 8 1
6 5 5 0 8 8 6 . 1 3 1
6 5 5 5 5 6 8 . 7 0 2
0 0 0 5 2 7 3 . 6 9 1
2 2 2 2 7 8 4 . 9 8 1
9 8 8 3 6 7 8 . 7 7 1
8 7 2 5 6 8 6 . 9 9 2
4 . 8 2
9 5 5 . 7 . . 0 7 6 1 4 5 8 4 9 4 7 0 1 5 2 1 3 1 5 1 1
. r r o C . g n Á
0 6 B P 0 6 Z A
9 5 B P 9 5 Z A
t u m i z A
T U M I Z A
5 4 1 2 7 9 . 5 3
7 6 9 4 1 8 1 . 5 1 3
. g e D . g n Á
O L U G N A
8 9 4 5 8 7 2 0 . 4 5
8 6 6 9 4 1 8 1 . 5 4 -
E T R O N D
8 4 2 . 5 2 7
5 4 8 . 1 7 6
E T S E D
5 8 3 . 6 2 5
2 0 6 . 7 6 6 -
I N I Z A
N I F Z A
l a t n o z i r o H o l u g n Á
0 5 4 1 2 7 9 . 5 3
S
> = . m i r é P
7 6 9 4 1 8 1 . 5 1 3
2 6 0 5 7 8 1 . 5 1 3
6 3 5 1 2 . 9 3 4 2
) L A N I F T U M I Z A - S O E P L 0 6 B 0 0 M I . 0 6 A S I 0 C M 1 3 N D E A A D A G 3 6 E . L 1 L 2 E D T U M I Z . . A ( m m 5 5 0 3 9 0 1 . 5 0 0 4 0 6 3 1 0 1 0 . 0 / 0 1
M
G
e c i t r é V
8 2 7 . 5 3 6 3
0 6 Z A
1 1
9 2 3 6 9 1 1 1 2 9 2 1 5 1 4 5 4 5 2 2 5 4
2 8 1
1 7 4 5 6 8 1 7 6 9 7 9 1 6 9 9 9 8 3 0 9 8 7 9 2 1 1 1 1 1 2 1 1 1 2
. g n A m u S
. g n A r o r r s e E i c l . t . r a t a g e e l n e n v i L R A o r . . . N E E E
0 4 5 7 8 0 1 2 3 4 5 6 9 9 6 8 8 8 8 9 9 9 9 9 9 9 5 5 B P P P P P P P P P P P Z B P A P
Profesor: JORGE MENDOZA DUEÑAS
32
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
CIRCUITO 8 :
PB59 - AZ59 PTO
E (UTM)
PB59 AZ59
PTO
N(UTM)
FI
h
613296.358
8519261.974
-13.39211035
4,026.160
612632.165
8 519936.001
K (ESCALA)
K(ELEVACION)
-13.38604184
-0.242383494
4059.414
K(COMBINADO)
PB59
0.9997587839519
0.999365247
0.999124184
AZ59
0.9997569277297
0.999360008
0.999117091
PROMEDIO
CONV. MERID
0.999120634840
Profesor: JORGE MENDOZA DUEÑAS
33
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
LINEA AB
LINEA AB
L(GEODESICA) 946.519
L(UTM) 946.290
t
(T-t)
-44.57896568
-5.40398E-05
PTO
E (TOPO)
PB59
613325.379
8519317.661
AZ59
612,657.753
8,519,989.462
L(TOPOGRÁFICA) 947.123
t (REAL) 315.4210343
T(DEG)
ZG(DEG)
315.4209803
315.1785968
ZG(RAD) 5.500904246
N(TOPO)
PB59 - PB58 PTO
E (UTM)
N(UTM)
PB59
613296.358
8519261.974
613725.28
8521387.082
K (ESCALA)
K(ELEVACION)
PB58
PTO
FI
h
CONV. MERID
-13.39211035
4,026.160
-0.242383494
-13.37288098
3820.242
K(COMBINADO)
PB59
0.9997587839519
0.999365247
0.999124184
PB58
0.9997599888509
0.999397691
0.999157825
PROMEDIO
LINEA AB
LINEA AB
0.999140976112
L(GEODESICA) 2,168.484
L(UTM) 2,167.962
t
(T-t)
11.41101212
-0.000170928
PTO
E (TOPO)
PB59
613325.379
PB58
613,745.662
L(TOPOGRÁFICA) 2,169.826
t (REAL) 11.41101212
T(DEG)
ZG(DEG)
11.41084119
11.1684577
ZF(RAD) 0.194926359
N(TOPO) 8519317.661 8,521,446.394
Profesor: JORGE MENDOZA DUEÑAS
34
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
PB59 - AZ58
PB59 AZ58
PTO
613296.358 613465.438
K (ESCALA)
8519261.974
-13.39211035
4,026.160
8520812.583
-13.37808494
3848.1
K(ELEVACION)
K(COMBINADO)
PB59
0.9997587839519
0.999365247
0.999124184
AZ58
0.9997592584840
0.999393302
0.999152707
PROMEDIO
LINEA AB
LINEA AB
-0.242383494
0.999138430299
L(GEODESICA) 1,560.176
L(UTM) 1,559.800
t
(T-t)
6.223004708
-0.000124625
PTO
E (TOPO)
PB59
613325.379
8519317.661
AZ58
613,488.035
8,520,870.309
L(TOPOGRÁFICA) 1,561.145
t (REAL) 6.223004708
T(DEG)
ZG(DEG)
6.222880083
5.980496589
ZG(RAD) 0.104379356
N(TOPO)
Profesor: JORGE MENDOZA DUEÑAS
35
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
e c i t r é V
9 9 2 3 4 5 8 9 1 4 7 8 8 5 5 0 0 0 0 0 0 1 1 1 5 5 Z B 1 1 1 1 1 1 1 1 1 Z B A P P P P P P P P P P A P
. r r o C e t s E
3 9 5 7 1 5 7 . 3 . 2 . 7 5 6 5 2 3 6 3 3 3 2 3 1 1 1 6 6 6
8 9 8 . 3 5 5 3 1 6
6 7 5 . 5 4 6 3 1 6
2 9 6 . 5 5 7 3 1 6
2 6 3 . 0 6 8 3 1 6
5 6 7 . 5 3 7 3 1 6
7 2 2 . 3 6 4 3 1 6
6 1 9 . 4 8 0 3 1 6
9 1 7 . 1 2 1 3 1 6
5 2 3 6 0 . 6 . 8 5 8 4 4 7 3 3 1 1 6 6
. r r o C e t r o N
2 1 6 6 9 7 4 . 6 . 3 . 9 7 1 8 1 0 3 9 3 9 9 9 1 1 1 5 5 5 8 8 8
4 4 0 . 6 3 1 9 1 5 8
3 6 4 . 4 6 0 9 1 5 8
5 0 3 . 0 2 9 8 1 5 8
6 7 0 . 7 9 8 8 1 5 8
6 6 6 . 3 5 1 9 1 5 8
4 8 8 . 3 1 5 9 1 5 8
5 6 6 . 3 8 1 0 2 5 8
1 4 8 . 5 7 4 0 2 5 8
9 4 0 9 3 . 3 . 0 6 7 4 8 4 0 1 2 2 5 5 8 8
. r r o C X
0 5 7 0 1 6 4 6 1 0 0 0 0 1 1 1 2 3 4 5 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 0 0 0 0 0 0 0 0 0
. r r o C Y
0 0 0 . 0
2 0 0 . 0 -
3 0 0 . 0 -
5 0 0 . 0 -
6 0 0 . 0 -
8 0 0 . 0 -
1 1 0 . 0 -
7 1 0 . 0 -
0 2 0 . 0 -
4 2 0 . 0 -
e t s E
9 7 3 . 5 2 3 3 1 6
1 5 2 . 6 3 3 3 1 6
4 9 8 . 3 5 5 3 1 6
9 6 5 . 5 4 6 3 1 6
2 8 6 . 5 5 7 3 1 6
1 5 3 . 0 6 8 3 1 6
8 4 7 . 5 3 7 3 1 6
3 0 2 . 3 6 4 3 1 6
0 8 8 . 4 8 0 3 1 6
8 7 6 . 1 2 1 3 1 6
5 8 9 . 7 8 4 3 1 6
0 5 0 . 0 -
e t r o N
1 6 6 . 7 1 3 9 1 5 8
9 7 3 . 1 0 3 9 1 5 8
6 4 0 . 6 3 1 9 1 5 8
7 6 4 . 4 6 0 9 1 5 8
9 0 3 . 0 2 9 8 1 5 8
2 8 0 . 7 9 8 8 1 5 8
4 7 6 . 3 5 1 9 1 5 8
5 9 8 . 3 1 5 9 1 5 8
3 8 6 . 3 8 1 0 2 5 8
1 6 8 . 5 7 4 0 2 5 8
3 3 3 . 0 7 8 0 2 5 8
4 2 0 . 0
8 7 5 . 9 1
7 9 8 . 2 9 2
7 0 2 . 9 0 4
8 0 6 . 0 9 5
3 2 8 . 7 9 6
9 6 0 . 3 8 9
7 7 7 . 4 3 4 1
6 2 0 . 4 0 2 2
2 1 5 . 8 9 4 2
3 3 8 . 6 3 0 3
8 7 5 . 9 1
9 1 3 . 3 7 2
0 1 3 . 6 1 1
1 0 4 . 1 8 1
5 1 2 . 7 0 1
6 4 2 . 5 8 2
8 0 7 . 1 5 4
9 4 2 . 9 6 7
6 8 4 . 4 9 2
1 2 3 . 8 3 5
7 6 0 . 1 3 6
3 2 0 . 5 1 6 4
a i c n a t s i D
a d a l u m u c A
a i c n a t s i D
3 2 1 . 7 4 9
9 2 3 4 5 8 9 1 4 7 8 8 5 0 0 0 0 0 0 1 1 1 5 5 B 1 1 1 1 1 1 1 1 1 Z B P P - P - P - P - P - P - P - P - P - P - A 9 9 2 3 4 5 8 9 1 4 7 8 5 5 0 0 0 0 0 0 1 1 1 5 Z B 1 1 1 1 1 1 1 1 1 Z A P P P P P P P P P P A
o d a L
. r r o C t u m i z A
6 0 9 5 8 7 1 . 5 3 1
. r r o C . g n Á
9 5 B P 9 5 Z A
8 5 B P 8 5 Z A
t u m i z A
T U M I Z A
6 0 9 5 8 7 1 . 5 3 1
6 1 4 3 4 9 0 . 4 0 2
. g e D . g n Á
O L U G N A
2 6 0 9 5 8 7 1 . 5 4 -
4 8 5 6 5 0 9 . 5 6
E T R O N D
1 0 8 . 1 7 6 -
5 8 0 . 6 7 5 -
E T S E D
6 2 6 . 7 6 6
7 2 6 . 7 5 2 -
I N N I I F Z Z A A
5 3 0 . 8 8 4 3 1 n 6 o i c a b o r p m o 9 C 0 3 . 0 7 8 0 2 5 8
l a t n o z i r o H o l u g n Á
S
0 0 5 1 2 2 2 . 7 2 1
5 6 3 5 2 8 9 . 7 2 1
4 5 6 9 5 2 6 . 2 4 1
6 5 4 9 1 1 5 . 2 0 1
0 4 6 5 8 9 0 . 4 3 3
8 3 8 6 8 8 8 . 2 2 3
6 2 5 4 0 4 5 . 0 3 3
5 5 0 3 8 7 1 . 7 6 3
3 0 7 7 9 7 8 . 2 0 4
6 1 4 3 4 9 0 . 4 8 3
9 9 0 0 9 0 . 1 9 1
0 6 4 3 5 9 . 0 6 1
6 8 3 0 6 7 . 0 8 1
9 2 4 3 4 6 . 4 9 1
0 8 9 5 8 8 . 9 3 1
8 1 6 6 8 5 . 1 5
0 2 1 0 9 7 . 8 6 1
9 6 7 1 5 6 . 7 8 1
3 5 8 7 3 6 . 6 1 2
5 6 4 1 0 7 . 5 1 2
1 7 5 4 1 2 . 1 6 1
4 8 6 8 8 6 2 . 6 4 1
5 9 7 4 2 2 2 . 7 2 1
1 5 3 0 3 8 9 . 7 2 1
2 6 4 6 6 2 6 . 2 4 1
3 7 5 7 2 1 5 . 2 0 1
0 4 2 4 9 9 0 . 4 3 3
8 1 0 7 9 8 8 . 2 2 3
2 6 4 6 1 4 5 . 0 3 3
8 1 0 7 9 7 1 . 7 6 3
5 8 6 3 1 8 8 . 2 0 4
7 0 9 0 6 9 0 . 4 8 3
8 7 7 2 0 9 0 . 1 9 1
1 1 1 6 3 5 9 . 0 6 1
6 5 5 5 0 6 7 . 0 8 1
1 1 1 6 3 4 6 . 4 9 1
1 1 1 1 6 8 8 . 9 3 1
7 6 6 6 6 8 5 . 1 5
8 7 7 2 0 9 7 . 8 6 1
4 4 4 9 1 5 6 . 7 8 1
6 5 5 0 8 3 6 . 6 1 2
7 6 6 6 1 0 7 . 5 1 2
2 2 2 7 4 1 2 . 1 6 1
> = . m i r é P
6 1 4 3 4 9 0 . 4 0 2
7 0 9 0 6 9 0 . 4 0 2
0 5 7 1 9 . 8 6 8 1
5 3 8 7 0 2 5 7 3 2 1 3 3 1 1 2 7 1 6 5
) L A N I F T U M I Z A - S O E P L 0 7 B 0 1 M I . 0 3 A S I 0 C M 1 3 N D E A A D A G 0 3 E . L 6 L E D T U M I Z . . A ( m m 5 8 0 5 2 0 5 . 9 4 7 0 5 1 1 0 1 0 . 0 / 0 1
M
G
e c i t r é V
6 0 9 5 8 7 1 . 5 3 1
6 9 8 6 8 6 2 . 6 4 1
3 3 8 . 6 3 0 3
5 8 3 5 7 9 8 2 2 5 7 5 4 3 5 3 4 3 3 4 1
1 0 0 4 9 1 8 7 6 5 1 9 6 8 9 3 5 6 8 1 1 6 1 1 1 1 1 1 1 2 2 1
. g n A m u S
. g n A r o s r r e E i c l . t t . r a a g e e l n e n v i L R A o . r . . N E E E
9 9 2 3 4 5 8 9 1 4 7 8 8 5 5 0 0 0 0 0 0 1 1 1 5 5 Z B 1 1 1 1 1 1 1 1 1 Z B A P P P P P P P P P P A P
Profesor: JORGE MENDOZA DUEÑAS
36
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
CIRCUITO 9 :
PB58 - AZ58
PTO
E (UTM)
PB58 AZ58
PTO
N(UTM)
FI
h
613725.28
8521387.082
-13.37288098
3,820.242
613465.438
8520812.583
- 13.37808494
K (ESCALA)
K(ELEVACION)
K(COMBINADO)
PB58
0.9997599888509
0.999397691
0.999157825
AZ58
0.9997592584840
0.999393302
0.999152707
PROMEDIO
CONV. MERID -0.242938969
3848.1
0.999155263565
Profesor: JORGE MENDOZA DUEÑAS
37
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
LINEA AB
LINEA AB
L(GEODESICA) 630.681
L(UTM) 630.529
t
(T-t)
24.33691684
4.62899E-05
L(TOPOGRÁFICA) 631.062
t (REAL) 204.3369168
T(DEG)
ZG(DEG)
ZG(RAD)
204.3369631
204.0940242
3.562112705
PTO
E (TOPO)
N(TOPO)
PB58
613745.662
AZ58
613,488.040
8,520,870.312
E (UTM)
N(UTM)
FI
h
CONV. MERID
8521387.082
-13.37288098
3,820.242
-0.242938969
8521438.705
- 13.37239228
3612.033
8521446.394
PB58 - PB57 PTO PB58 PB57
PTO
613725.28
614297.419
K (ESCALA)
K(ELEVACION)
K(COMBINADO)
PB58
0.9997599888509
0.999397691
0.999157825
PB57
0.9997616027311
0.999430499
0.999192238
PROMEDIO
LINEA AB
LINEA AB
0.999175030945
L(GEODESICA) 574.601
L(UTM) 574.463
t
(T-t)
84.84427303
-4.16964E-06
PTO
E (TOPO)
PB58
613745.662
PB57
614,318.049
L(TOPOGRÁFICA) 574.938
t (REAL) 84.84427303
T(DEG)
ZG(DEG)
84.84426886
84.60132989
ZG(RAD) 1.476571758
N(TOPO) 8521446.394 8,521,500.487
Profesor: JORGE MENDOZA DUEÑAS
38
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
PB58 - AZ57 PTO
E (UTM)
PB58 AZ57
PTO
N(UTM)
FI
h
CONV. MERID
613725.28
8521387.082
-13.37288098
3,820.242
-0.242938969
614204.636
8521367.342
- 13.37304104
3650.305
K (ESCALA)
K(ELEVAC ION)
K(COMBINADO)
PB58
0.9997599888509
0.999397691
0.999157825
AZ57
0.9997613404504
0.999424469
0.999185946
PROMEDIO
LINEA AB
LINEA AB
0.999171885333
L(GEODESICA) 479.877
L(UTM) 479.762
L(TOPOGRÁFICA) 480.160
t
(T-t)
t (REAL)
T(DEG)
ZG(DEG)
-87.64187784
1.59399E-06
92.35812216
92.35812375
92.11518478
PTO
E (TOPO)
PB58
613745.662
8521446.394
AZ57
614,225.495
8,521,428.672
ZG(RAD) 1.607713266
N(TOPO)
Profesor: JORGE MENDOZA DUEÑAS
39
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
e c i t r é V
8 8 5 6 9 2 4 5 7 8 9 0 7 7 5 5 2 2 2 3 3 3 3 3 3 4 5 5 Z B 1 1 1 1 1 1 1 1 1 1 Z B A P P P P P P P P P P P A P
. r r o C e t s E
0 2 4 6 0 . 6 . 8 5 8 4 4 7 3 3 1 1 6 6
1 5 6 . 5 3 9 3 1 6
3 7 2 . 9 6 9 3 1 6
3 3 2 . 3 2 0 4 1 6
7 8 8 . 2 4 1 4 1 6
3 9 7 . 1 6 0 4 1 6
8 6 8 . 3 0 0 4 1 6
0 8 9 . 4 5 9 3 1 6
2 7 3 . 1 3 1 4 1 6
0 2 8 . 1 2 2 4 1 6
8 7 4 . 1 4 2 4 1 6
5 9 9 4 4 . 0 . 5 8 2 1 2 3 4 4 1 1 6 6
. r r o C e t r o N
2 4 1 9 3 . 3 . 0 6 7 4 8 4 0 1 2 2 5 5 8 8
0 4 7 . 4 3 7 1 2 5 8
7 9 1 . 6 9 9 1 2 5 8
8 5 5 . 2 4 2 2 2 5 8
6 1 8 . 3 2 6 1 2 5 8
9 1 4 . 2 4 3 1 2 5 8
6 3 4 . 4 8 2 1 2 5 8
5 0 1 . 8 0 2 1 2 5 8
7 0 9 . 0 0 2 1 2 5 8
6 8 5 . 1 3 2 1 2 5 8
5 1 0 . 0 8 2 1 2 5 8
2 7 7 8 6 . 4 . 8 0 2 0 4 5 1 1 2 2 5 5 8 8
5 9 4 . 5 2 2 4 1 6
n o i c a b o r p m o C 2 7 6 . 8 2 4 1 2 5 8
. r r o C X
6 1 5 6 1 3 4 7 9 0 3 0 1 1 2 3 3 3 3 3 4 4 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 . 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 - 0 -
. r r o C Y
1 0 0 . 0 -
1 0 0 . 0 -
1 0 0 . 0 -
2 0 0 . 0 -
3 0 0 . 0 -
3 0 0 . 0 -
3 0 0 . 0 -
3 0 0 . 0 -
3 0 0 . 0 -
3 0 0 . 0 -
4 0 0 . 0 -
e t s E
2 6 6 . 5 4 7 3 1 6
7 5 6 . 5 3 9 3 1 6
4 8 2 . 9 6 9 3 1 6
8 4 2 . 3 2 0 4 1 6
3 1 9 . 2 4 1 4 1 6
4 2 8 . 1 6 0 4 1 6
1 0 9 . 3 0 0 4 1 6
4 1 0 . 5 5 9 3 1 6
0 1 4 . 1 3 1 4 1 6
9 5 8 . 1 2 2 4 1 6
8 1 5 . 1 4 2 4 1 6
8 3 5 . 5 2 2 4 1 6
3 4 0 . 0
e t r o N
4 9 3 . 6 4 4 1 2 5 8
0 4 7 . 4 3 7 1 2 5 8
8 9 1 . 6 9 9 1 2 5 8
0 6 5 . 2 4 2 2 2 5 8
8 1 8 . 3 2 6 1 2 5 8
2 2 4 . 2 4 3 1 2 5 8
9 3 4 . 4 8 2 1 2 5 8
8 0 1 . 8 0 2 1 2 5 8
0 1 9 . 0 0 2 1 2 5 8
9 8 5 . 1 3 2 1 2 5 8
8 1 0 . 0 8 2 1 2 5 8
6 7 6 . 8 2 4 1 2 5 8
4 0 0 . 0
4 1 3 . 5 4 3
5 2 9 . 8 0 6
8 2 1 . 1 6 8
5 3 3 . 1 9 4 1
2 8 1 . 4 8 7 1
0 4 1 . 6 6 8 1
4 8 7 . 6 5 9 1
6 2 3 . 3 3 1 2
7 3 8 . 8 2 2 2
4 0 1 . 1 8 2 2
8 1 6 . 0 3 4 2
4 1 3 . 5 4 3
1 1 6 . 3 6 2
3 0 2 . 2 5 2
7 0 2 . 0 3 6
7 4 8 . 2 9 2
8 5 9 . 1 8
4 4 6 . 0 9
2 4 5 . 6 7 1
1 1 5 . 5 9
7 6 2 . 2 5
4 1 5 . 9 4 1
8 4 1 . 7 1 1
8 2 8 . 8 7 1 3
8 5 5 2 6 2 B 1 1 P - P - P 8 8 5 5 5 2 Z B 1 A P P
9 2 1 P 6 2 1 P
2 3 1 P 9 2 1 P
4 3 1 P 2 3 1 P
5 3 1 P 4 3 1 P
7 3 1 P 5 3 1 P
8 3 1 P 7 3 1 P
9 3 1 P 8 3 1 P
0 4 1 P 9 3 1 P
7 7 5 5 Z B P A 0 7 4 5 1 Z P A
4 8 3 0 4 9 0 . 4 2
a i c n a t s i D
a d a l u m u c A
a i c n a t s i D
2 6 0 . 1 3 6
o d a L
. r r o C t u m i z A . r r o C . g n Á
8 5 B P 8 5 Z A
7 5 B P 7 5 Z A
t u m i z A
T U M I Z A
4 8 3 0 4 9 0 . 4 2
8 4 0 2 1 9 1 . 2 3 2
. g e D . g n Á
O L U G N A
1 6 1 6 9 5 0 9 . 5 6
8 1 5 9 7 8 0 8 . 7 3
E T R O N D
2 8 0 . 6 7 5
5 1 8 . 1 7 -
E T S E D
2 2 6 . 7 5 2
4 5 5 . 2 9 -
I N I Z A
N I F Z A
l a t n o z i r o H o l u g n Á
S
4 6 1 7 8 2 3 . 7
7 8 5 0 5 5 3 . 2 1
1 8 8 0 4 5 0 . 9 6 1
3 7 3 1 5 7 0 . 6 9 1
2 0 4 3 0 7 9 . 4 2 2
3 6 7 7 7 3 6 . 2 1 2
6 4 2 5 6 3 3 . 2 9
1 3 8 8 3 6 2 . 1 7
5 8 3 9 3 9 0 . 2 2
8 3 6 2 4 6 8 . 3 5 3
8 4 0 2 1 9 1 . 2 1 4
4 2 4 7 8 2 . 9 8 1
4 5 2 7 4 9 . 3 5 1
2 4 3 6 2 0 . 5 8 1
9 2 0 9 9 6 . 6 3 3
9 4 0 1 2 0 . 7 0 2
3 0 2 5 9 8 . 8 0 2
6 3 4 7 6 6 . 7 6 1
8 4 7 8 9 6 . 9 5
8 5 3 7 2 9 . 8 5 1
5 5 0 0 3 8 . 0 3 1
5 2 3 0 7 7 . 1 5 1
1 4 9 6 2 3 . 8 3 2
4 8 8 7 2 8 3 . 3 3
7 1 2 1 1 3 3 . 7
6 0 6 7 8 5 3 . 2 1
5 9 4 1 0 6 0 . 9 6 1
5 9 4 6 2 8 0 . 6 9 1
2 6 1 3 9 7 9 . 4 2 2
3 7 2 9 7 4 6 . 2 1 2
0 4 9 0 7 4 3 . 2 9
2 6 6 5 5 7 2 . 1 7
4 8 3 5 6 0 1 . 2 2
3 7 2 9 7 7 8 . 3 5 3
4 8 3 5 6 0 2 . 2 1 4
0 0 5 7 8 8 2 . 9 8 1
3 3 3 3 8 4 9 . 3 5 1
9 8 3 6 7 2 0 . 5 8 1
9 8 8 3 1 0 7 . 6 3 3
0 0 0 5 2 2 0 . 7 0 2
7 6 6 6 6 9 8 . 8 0 2
1 1 1 6 8 6 6 . 7 6 1
7 6 6 1 9 9 6 . 9 5
2 2 7 4 8 2 9 . 8 5 1
2 2 7 9 0 3 8 . 0 3 1
9 8 8 3 1 7 7 . 1 5 1
1 1 1 6 8 2 3 . 8 3 2
> = . m i r é P
8 4 0 2 1 9 1 . 2 3 2
4 8 3 5 6 0 2 . 2 3 2
0 5 2 1 1 . 8 8 1 2
5 5 . 4 5 . . 5 . 7 3 1 8 7 9 5 9 5 2 4 7 5 2 1 1 4 1 3 4 5
) L A N I F T U M I Z A - S O E P L 0 4 0 6 I M B . 0 4 S A I 0 3 C M 1 N D E A A D A G 0 2 E . L 5 L 5 E D T U M I Z . . A ( m m 3 5 0 4 1 0 3 . 7 3 0 6 5 5 2 1 1 0 . 0 / 0 1
M
G
e c i t r é V
4 8 3 0 4 9 0 . 4 2
9 1 6 4 1 8 3 . 3 3
8 1 6 . 0 3 4 2
7 6 2 3 0 1 5 9 6 9 1 5 1 4 1 5 4 4 5 4 4 1
9 3 5 6 7 8 7 9 8 0 1 8 8 5 8 3 0 0 6 5 3 5 3 1 1 1 3 2 2 1 5 1 1 1 2
. g n A m u S
. g n A r o r r s e E i c . t l t . r a a g e e l n e n v i o L R A r . . . N E E E
8 8 5 6 9 2 4 5 7 8 9 0 7 7 5 5 2 2 2 3 3 3 3 3 3 4 5 5 Z B 1 1 1 1 1 1 1 1 1 1 Z B A P P P P P P P P P P P A P
Profesor: JORGE MENDOZA DUEÑAS
40
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
CIRCUITO 10 :
PB58 - AZ58 PTO
E (UTM)
N(UTM)
FI
h
PB57
614297.419
8521438.705
-13.37239228
3,612.033
614204.636
8521367.342
- 13.37304104
3650.305
AZ57
PTO
K (ESCALA)
K(ELEVACION)
- 0.244152058
K(COMBINADO)
PB57
0.9997616027311
0.999430499
0.999192238
AZ57
0.9997613404504
0.999424469
0.999185946
PROMEDIO
CONV. MERID
0.999189092037
Profesor: JORGE MENDOZA DUEÑAS
41
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
LINEA AB
LINEA AB
L(GEODESICA) 117.081
L(UTM) 117.053
L(TOPOGRÁFICA) 117.148
t
(T-t)
t (REAL)
T(DEG)
ZG(DEG)
ZG(RAD)
52.43472071
5.78179E-06
32.4347207
232.4347265
232.19005744
4.052490016
PTO
E (TOPO)
N(TOPO)
PB57
614318.049
8521500.487
AZ57
614,225.496
8,521,428.671
PTO
E (UTM)
N(UTM)
FI
h
PB57
614297.419
8521438.705
-13.37239228
3,612.033
AZ56
614849.795
8520270.096
-13.38293621
3471.926
PB57 - AZ56
PTO
K (ESCALA)
K(ELEVACION)
0.9997616027311
0.999430499
0.999192238
AZ56
0.9997631683603
0.999452578
0.999215876
LINEA AB
LINEA AB
-0.244152058
K(COMBINAD O)
PB57
PROMEDIO
CONV. MERID
0.999204048321
L(GEODESICA) 1,292.888
L(UTM) 1,292.581
t
(T-t)
-25.29908054
9.48583E-05
PTO
E (TOPO)
PB57
614318.049
8521500.487
AZ56
614,875.842
8,520,333.312
L(TOPOGRÁFICA) 1,293.611
t (REAL) 154.7009195
T(DEG) 154.7010143
ZG(DEG) 154.4568623
ZG(RAD) 2.695780799
N(TOPO)
Profesor: JORGE MENDOZA DUEÑAS
42
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
PB57 - PB56 PTO
E (UTM)
N(UTM)
FI
h
PB57
614297.419
8521438.705
-13.37239228
3,612.033
PB56
615502.894
8519680.015
- 13 .38824568
3420.988
PTO
K (ESCALA)
K(ELEVACION)
0.9997616027311
0.999430499
0.999192238
PB56
0.9997650293344
0.999460605
0.999225761
LINEA AB
LINEA AB
-0.244152058
K(COMBINADO)
PB57
PROMEDIO
CONV. MERID
0.999208980243
L(GEODESICA)
L(UTM)
2,132.677
2,132.173
t
(T-t)
-34.42826601
0.000143028
PTO
E (TOPO)
PB57
614318.049
8521500.487
PB56
615,531.963
8,519,745.559
L(TOPOGRÁFICA) 2,133.861
t (REAL) 145.571734
T(DEG) 145.571877
ZG(DEG) 145.327725
ZG(RAD) 2.536447295
N(TOPO)
Profesor: JORGE MENDOZA DUEÑAS
43
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
e c i t r é V
7 7 1 2 3 4 5 6 3 6 6 5 5 x 4 4 4 4 4 5 5 5 Z B u 1 1 1 1 1 1 Z B A P A P P P P P P A P
. r r o C e t s E
6 9 9 4 4 . 0 . 5 8 2 1 2 3 4 4 1 1 6 6
3 4 2 . 6 6 3 4 1 6
4 8 1 . 3 8 3 4 1 6
7 1 2 . 8 8 3 4 1 6
2 9 5 . 8 5 2 4 1 6
1 2 5 . 9 6 3 4 1 6
6 1 4 . 7 0 5 4 1 6
0 1 2 . 1 9 7 4 1 6
2 3 4 6 8 . 9 . 5 1 7 3 8 5 4 5 1 1 6 6
. r r o C e t r o N
1 7 7 8 6 . 4 . 8 0 2 0 4 5 1 1 2 2 5 5 8 8
0 7 4 . 7 9 3 1 2 5 8
0 3 2 . 0 4 3 1 2 5 8
7 0 0 . 6 0 2 1 2 5 8
0 7 3 . 0 8 0 1 2 5 8
0 4 8 . 7 9 9 0 2 5 8
0 9 4 . 7 1 7 0 2 5 8
1 6 7 . 0 1 3 0 2 5 8
2 9 1 5 3 . 5 . 3 5 3 4 3 7 0 9 2 1 5 5 8 8
0 1 0 . 0 -
6 1 0 . 0 -
4 0 0 . 0 -
6 0 0 . 0 -
0 2 0 . 0 -
0 3 0 . 0 -
6 4 0 . 0 -
9 4 0 . 0 -
. r r o C Y
2 0 0 . 0
3 5 7 0 0 0 0 1 0 . 0 . 0 . 0 . 0 0 0 0
4 1 0 . 0
2 2 0 . 0
3 2 0 . 0
e t s E
9 4 0 . 8 1 3 4 1 6
6 4 2 . 6 6 3 4 1 6
9 8 1 . 3 8 3 4 1 6
6 2 2 . 8 8 3 4 1 6
8 0 6 . 8 5 2 4 1 6
1 4 5 . 9 6 3 4 1 6
6 4 4 . 7 0 5 4 1 6
6 5 2 . 1 9 7 4 1 6
1 9 8 . 5 7 8 4 1 6
9 4 0 . 0
e t r o N
7 8 4 . 0 0 5 1 2 5 8
8 6 4 . 7 9 3 1 2 5 8
7 2 2 . 0 4 3 1 2 5 8
2 0 0 . 6 0 2 1 2 5 8
2 6 3 . 0 8 0 1 2 5 8
0 3 8 . 7 9 9 0 2 5 8
6 7 4 . 7 1 7 0 2 5 8
9 3 7 . 0 1 3 0 2 5 8
9 8 2 . 3 3 3 0 2 5 8
3 2 0 . 0 -
6 3 7 . 3 1 1
2 3 4 . 3 7 1
1 5 7 . 7 0 3
8 6 2 . 8 8 4
5 3 5 . 6 2 6
1 7 9 . 8 3 9
8 3 9 . 4 3 4 1
5 2 5 . 2 2 5 1
9 1 3 . 4 3 1
7 1 5 . 0 8 1
7 6 2 . 8 3 1
6 3 4 . 2 1 3
7 6 9 . 5 9 4
7 8 5 . 7 8
9 7 8 . 0 8 8
2 5 5 . 0 2 5 2
> = . m i r é P
a d a l u m u c A
a i c n a t s i D
8 4 1 . 7 1 1
6 3 7 . 3 1 1
6 9 6 . 9 5
o d a L
7 5 B P 7 5 Z A
1 x u A 7 5 B P
2 4 1 P 1 x u
3 4 1 P 2 4 1 A P
4 4 1 P 3 4 1 P
5 4 1 P 4 4 1 P
6 4 1 P 5 4 1 P
3 5 1 P 6 4 1 P
6 5 Z A 3 5 1 P
6 5 B P 6 5 Z A
. r r o C t u m i z A
6 8 1 5 0 9 1 . 2 5
6 6 3 4 7 2 9 . 4 5 1
9 0 7 7 1 1 5 . 3 6 1
5 2 3 8 0 5 8 . 7 7 1
6 9 7 9 2 9 8 . 5 2 2
0 7 0 6 8 4 6 . 6 2 1
0 0 8 6 7 0 8 . 3 5 1
5 5 6 6 3 9 0 . 5 4 1
7 7 0 7 0 8 0 . 5 7
7 3 7 9 3 5 8 . 1 3 1
8 1 9 6 3 7 . 2 8 2
4 3 3 4 8 5 . 8 8 1
2 6 0 9 3 3 . 4 9 1
7 4 1 2 4 0 . 8 2 2
7 2 6 5 5 7 . 0 8
3 7 0 9 5 1 . 7 0 2
6 8 9 5 8 2 . 1 7 1
2 4 0 7 8 9 . 9 0 1
6 6 2 3 7 7 . 6 3 2
3 5 8 1 7 2 9 . 4 5 1
0 2 5 3 1 1 5 . 3 6 1
9 0 4 2 0 5 8 . 7 7 1
3 5 8 1 2 9 8 . 5 2 2
9 0 4 7 7 4 6 . 6 2 1
8 9 2 6 6 0 8 . 3 5 1
1 5 1 1 3 7 3 3 6 0 6 6 4 4 4 4 2 9 2 2 9 7 5 5 0 8 . 0 . 8 . . 1 5 5 1 4 7 3 1 1 1 3
7 6 6 6 6 3 7 . 2 8 2
7 6 6 1 4 8 5 . 8 8 1
9 8 8 8 8 3 3 . 4 9 1
4 9 3 4 6 4 6 3 4 5 5 8 4 5 8 3 4 5 9 5 8 8 9 0 1 5 8 5 6 3 4 5 5 8 8 7 0 1 7 . 7 . 2 . 9 . . . 8 0 7 1 9 6 2 8 0 7 0 3 2 2 1 1 2
. r r o C . g n Á
7 5 B P 7 5 Z
6 5 B P 6 5 Z A
t u m i z A
T U M I Z A
6 8 1 5 0 9 1 . 2 5
7 3 7 9 3 5 8 . 1 1 3
. g e D . g n Á
O L U G N A
1 4 1 8 4 9 0 8 . 7 3
7 6 3 7 9 3 5 8 . 1 4 -
E T R O N D
6 1 8 . 1 7
3 5 7 . 7 8 5
E T S E D
3 5 5 . 2 9
1 2 1 . 6 5 6 -
I N I Z A
N I F Z A
n o i c a b o r p m o C 2 1 3 . 3 3 3 0 2 5 8
. r r o C X
a i c n a t s i D
A
2 4 8 . 5 7 8 4 1 6
l a t n o z i r o H o l u g n Á
6 8 1 5 0 9 1 . 2 5
S
7 3 7 9 3 5 8 . 1 1 3
4 9 1 6 6 . 9 9 6 1
) L A N I F T U M I Z A O P M A C N E A D A G E L L E D T U M I Z A ( 1 5 1 0 0 . 0 -
3 3 2 0 1 0 2 1 3 2 3 2 3 9 1 2
S E L B I S I M D A
0 0 0 0 1
0 0 . 0 3
4 4 . 5
9
. . m m 4 6 0 5 2 0 . 3 0 8 2
/ 0 1
M
G
e c i t r é V
5 2 5 . 2 2 5 1
4 5 0 2 5 9 7 9 6 4 3 2 4 1 5 4
2 8 4 8 7 1 9 6 8 8 9 2 0 0 7 0 3 2 1 1 2 8 2 1 1 2
. g n A m u S
. g n A r o r s r e E i c l t r a e e n v i o L r . N E
. t . a g l e n R A . . E E
7 7 1 2 3 4 5 6 3 6 6 5 5 x 4 4 4 4 4 5 5 5 Z B u 1 1 1 1 1 1 Z B A P A P P P P P P A P
Profesor: JORGE MENDOZA DUEÑAS
44
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
CIRCUITO 11 :
PB56 - AZ 56 PTO
E (UTM)
PB56
615502.894
AZ56
PTO
N(UTM)
FI
h
8519680.015
-13.38824568
3,420.988
614849.795
8520270.096
-13.38293621
3471.926
K (ESCALA)
K(ELEVACION)
0.9997650293344
0.999460605
0.999225761
AZ56
0.9997631683603
0.999452578
0.999215876
LINEA AB
LINEA AB
-0.247030712
K(COMBINADO)
PB56
PROMEDIO
CONV. MERID
0.999220816551
L(GEODESICA) 880.397
L(UTM) 880.190
t
(T-t)
-47.90189479
-4.82342E-05
L(TOPOGRÁFICA) 880.876
t (REAL) 312.0981052
T(DEG)
ZG(DEG)
312.098057
311.8510263
ZG(RAD) 5.442827184
Profesor: JORGE MENDOZA DUEÑAS
45
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
PTO
E (TOPO)
N(TOPO)
PB56
615531.963
8519745.559
AZ56
614,875.814
8,520,333.276
PB56 - PB55 PTO
E (UTM)
N(UTM)
FI
PB56
615502.894
8519680.015
-13.38824568
3,420.988
PB55
616919.582
8519343.922
- 13.39122868
3209.567
PTO
K (ESCALA)
K(ELEVACION)
K(COMBINADO)
PB56
0.9997650293344
0.999460605
0.999225761
PB55
0.9997691025414
0.999493924
0.999263143
PROMEDIO
LINEA AB
LINEA AB
h
CONV. MERID -0.247030712
0.999244451321
L(GEODESICA) 1,456.349
L(UTM) 1,456.009
L(TOPOGRÁFICA) 1,457.110
t
(T-t)
t (REAL)
T(DEG)
-76.65396279
2.76372E-05
103.3460372
103.3460649
PTO
E (TOPO)
N(TOPO)
PB56
615531.963
8519745.559
PB55
616,951.159
8,519,415.327
ZG(DEG) 103.0990341
ZG(RAD) 1.799417601
Profesor: JORGE MENDOZA DUEÑAS
46
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
PB56 - AZ55 PTO
E (UTM)
N(UTM)
FI
h
PB56
615502.894
8519680.015
-13.38824568
3,420.988
AZ55
616246.836
8519375.192
- 13.39097245
3246.974
K (ESCALA)
K(ELEVACION)
K(COMBINADO)
PTO PB56
0.9997650293344
0.999460605
0.999225761
AZ55
0.9997671620757
0.999488029
0.99925531
PROMEDIO
LINEA AB
LINEA AB
CONV. MERID -0.247030712
0.999240534871
L(GEODESICA) 804.157
L(UTM) 803.969
L(TOPOGRÁFICA) 804.580
t
(T-t)
t (REAL)
T(DEG)
-67.7191116
2.50174E-05
112.2808884
112.2809134
PTO
E (TOPO)
PB56
615531.963
8519745.559
AZ55
616,277.779
8,519,443.717
ZG(DEG) 112.0338827
ZG(RAD) 1.955360127
N(TOPO)
Profesor: JORGE MENDOZA DUEÑAS
47
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
e c i t r é V
6 6 3 0 2 3 5 5 5 5 6 7 7 7 5 5 Z B 1 1 1 1 Z B A P P P P P A P
. r r o C e t s E
4 3 1 6 8 . 9 . 5 1 7 3 8 5 4 5 1 1 6 6
3 2 6 . 2 8 6 5 1 6
9 5 7 . 4 3 9 5 1 6
9 3 2 . 5 2 9 5 1 6
5 3 2 . 6 2 1 6 1 6
9 9 7 5 7 . 1 . 7 1 7 5 2 9 6 6 1 1 6 6
. r r o C e t r o N
6 9 7 5 2 . 5 . 3 5 3 4 3 7 0 9 2 1 5 5 8 8
8 9 0 . 1 4 7 9 1 5 8
8 1 2 . 6 4 8 9 1 5 8
7 8 7 . 3 4 7 9 1 5 8
8 1 2 . 0 8 5 9 1 5 8
7 7 1 2 7 . 3 . 3 5 4 1 4 4 9 9 1 1 5 5 8 8
. r r o C X
1 4 5 7 9 0 0 0 0 0 0 . 0 . 0 . 0 . 0 . 0 - 0 - 0 - 0 - 0 -
. r r o C Y
4 2 5 2 7 0 1 1 2 2 0 . 0 . 0 . 0 . 0 . 0 0 0 0 0
n o i c a b o r p m o C 7 1 7 . 3 4 4 9 1 5 8
e t s E
3 6 9 . 1 3 5 5 1 6
5 2 6 . 2 8 6 5 1 6
3 6 7 . 4 3 9 5 1 6
4 4 2 . 5 2 9 5 1 6
3 4 2 . 6 2 1 6 1 6
8 8 7 . 7 7 2 6 1 6
9 0 0 . 0
e t r o N
9 5 5 . 5 4 7 9 1 5 8
4 9 0 . 1 4 7 9 1 5 8
6 0 2 . 6 4 8 9 1 5 8
3 7 7 . 3 4 7 9 1 5 8
6 9 1 . 0 8 5 9 1 5 8
0 9 6 . 3 4 4 9 1 5 8
7 2 0 . 0 -
8 2 7 . 0 5 1
9 9 8 . 3 2 4
4 7 7 . 6 2 5
2 2 9 . 5 8 7
3 8 8 . 9 8 9
a i c n a t s i D
a d a l u m u c A
a i c n a t s i D
6 7 8 . 0 8 8
8 2 7 . 0 5 1
1 7 1 . 3 7 2
5 7 8 . 2 0 1
8 4 1 . 9 5 2
1 6 9 . 3 0 2
8 7 9 . 3 7 6
7 3 7 . 4 4 5 2
o d a L
6 5 B P 6 5 Z A
3 6 1 P 6 5 B P
0 7 1 P 3 6 1 P
2 7 1 P 0 7 1 P
3 7 1 P 2 7 1 P
5 5 Z A 3 7 1 P
5 5 B P 5 5 Z A
> = . m i r é P
. r r o C t u m i z A
4 4 1 0 1 5 8 . 1 3 1
9 0 3 4 7 9 6 . 1 9
5 9 8 5 9 6 3 . 7 6
8 1 6 2 9 0 3 . 5 8 1
7 1 8 3 9 3 1 . 9 2 1
6 3 8 3 1 1 0 . 2 3 1
8 5 8 1 4 1 4 . 2 9
6 1 4 6 4 8 . 9 3 1
9 5 1 2 7 6 . 5 5 1
2 7 6 9 3 9 . 7 9 2
0 2 1 0 3 8 . 3 2 1
2 0 0 2 7 8 . 2 8 1
2 0 8 2 0 4 . 0 4 1
6 6 3 2 8 9 6 . 1 9
2 2 9 2 1 7 3 . 7 6
1 1 8 6 2 1 3 . 5 8 1
4 4 1 5 3 4 1 . 9 2 1
0 0 7 5 6 1 0 . 2 3 1
1 1 8 1 0 2 4 . 2 9
2 2 2 2 7 4 8 . 9 3 1
6 5 5 0 3 7 6 . 5 5 1
9 8 8 3 1 4 9 . 7 9 2
3 3 3 8 0 3 8 . 3 2 1
6 5 5 0 3 7 8 . 2 8 1
1 1 1 6 3 0 4 . 0 4 1
. r r o C . g n Á
6 5 B P 6 5 Z A
5 5 B P 5 5 Z A
t u m i z A
4 4 1 0 1 5 8 . 1 3 1
8 5 8 1 4 1 4 . 2 7 2
. g e D . g n Á
6 3 O 4 L 1 U 0 1 G 5 N 8 . A 1 4 -
2 9 7 5 8 1 4 1 4 . 2 -
E T R O N D
7 1 7 . 7 8 5 -
0 9 3 . 8 2
E T S E D
9 4 1 . 6 5 6
0 8 3 . 3 7 6 -
I N I Z A
N I F Z A
T U M I Z A
9 7 7 . 7 7 2 6 1 6
l a t n o z i r o H o l u g n Á
4 4 1 0 1 5 8 . 1 3 1
1 1 8 1 0 2 4 . 2 7 2
7 1 9 6 5 . 0 4 0 1
) L A N I F T U M I Z A O P M A C N E A D A G E L L E D T U M I Z A (
S E L B I S I M D A
0 0 6 0 6 0 . 0
0 9 0 4 . 0 4 0 2 1
8 5 . 1 2
. . m m 9 5 0 2 0 0 2 . 0 4 3
/ 0 1 0 0 6 9 2 4 5 4 5 4 5 2
M
9 5 7 3 2 0 3 5 9 2 8 4 1 1 2 1 1 1
G
e c i t r é V
8 5 8 1 4 1 4 . 2 7 2
0 3 9 1 3 3 5 2 2 5 2 1
S
3 8 8 . 9 8 9
6 5 Z A
. g n A m u S
. g n A r o r s r e E i c l . t . r a t a g e e l n e n v i L R A o r . . . N E E E
6 3 0 2 3 5 5 5 6 7 7 7 5 5 B 1 1 1 1 Z B P P P P P A P
Profesor: JORGE MENDOZA DUEÑAS
48
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
CIRCUITO 12 :
PB55 - AZ 55 PTO
E (UTM)
N(UTM)
PB55
616919.582
8519343.922
-13.39122868
3,209.567
AZ55
616246.836
8519375.192
-13.39097245
3246.974
PTO
K (ESCALA)
K(ELEVACION)
FI
0.9997691025414
0.999493924
0.999263143
AZ55
0.9997671620757
0.999488029
0.99925531
LINEA AB
LINEA AB
PTO PB55
CONV. MERID -0.250118785
K(COMBINADO)
PB55
PROMEDIO
h
0.999259226510
L(GEODESICA) 673.629
L(UTM) 673.472
L(TOPOGRÁFICA) 673.972
t
(T-t)
t (REAL)
T(DEG)
ZG(DEG)
ZG(RAD)
-87.33874238
-2.58733E-06
272.6612576
272.661255
272.4111362
4.754471247
E (TOPO) 616951.159
N(TOPO) 8519415.327
616,277.784 AZ55
8,519,443.681
Profesor: JORGE MENDOZA DUEÑAS
49
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
PB55 - P185 PTO
E (UTM)
N(UTM)
PB55
616919.582
8519343.922
-13.39122868
3,209.567
P185
617326.738
8519006.525
- 13.39426293
3180.175
PTO
K (ESCALA)
K(ELEVACION)
FI
0.9997691025414
0.999493924
0.999263143
P185
0.9997702823286
0.999498556
0.999268954
LINEA AB
LINEA AB
CONV. MERID -0.250118785
K(COMBINADO)
PB55
PROMEDIO
h
0.999266047678
L(GEODESICA) 528.906
L(UTM) 528.784
t
(T-t)
-50.35255678
2.80028E-05
L(TOPOGRÁFICA) 529.173
t (REAL)
PTO
E (TOPO)
PB55
616951.159
8519415.327
P185
617,360.084
8,519,079.464
129.6474432
T(DEG) 129.6474712
ZG(DEG)
ZG(RAD)
129.3973524
2.258409843
N(TOPO)
PB55 - P186 PTO
E (UTM)
PB55
616919.582
P186
617472.78
PTO
K (ESCALA)
N(UTM) 8519343.922 8518969.518
K(ELEVACION)
FI -13.39122868 - 13.39459171
0.9997691025414
0.999493924
0.999263143
P186
0.9997707065173
0.999499827
0.999270648
LINEA AB
3,209.567
CONV. MERID -0.250118785
3172.112
K(COMBINADO)
PB55
PROMEDIO
h
0.999266894724
L(GEODESICA) 668.141
L(UTM) 667.987
L(TOPOGRÁFICA) 668.477
Profesor: JORGE MENDOZA DUEÑAS
50
TRANSFORMACIÓN DE COORDENADAS UTM A TOPOGRÁFICA
LINEA AB
t
(T-t)
-55.90988706
3.10872E-05
PTO
E (TOPO)
PB55
616951.159
8519415.327
P186
617,506. 393
8,519,043.068
t (REAL) 124.0901129
T(DEG)
ZG(DEG)
ZG(RAD)
124.090144
123.8400252
2.161416186
N(TOPO)
NORTE (m)
Profesor: JORGE MENDOZA DUEÑAS
51