Calculo De Compensacion 5o28y

A0 A4

Este(x) Norte(y) z 786543.2340 9965421.9870 2833.8310 799367.0330 9966350.4720 2838.2920

ID

angulos

a1 a2 a3 a4

grados 82 209 202 98

20 47 0 32

Az0 64.71311944 25.286880556

segundos

10 82.3361111 59 209.799722 17 202.004722 51 98.5475

desviación

296410 755279 727217 354771

82.3361111 180 115.286881 202.004722 4.59

2 2 2 2

AZ0 AZ1 Az2 Za3

85

s W

-4387.78921 659.2410853

135.8594444

r

150.200278 29.7997222 112.135833

trigonometrica desnivel 15.478 -8,652 4.932 -7.256

s

ID l1 l2 l3 l4

6000 3000 1500 3800

3mm+10ppm 3mm+10ppm 3mm+10ppm 3mm+10ppm

-8,639

29

13.77 85.4871583 115.286881 202.004722 4.59

157.995278 -210.53167 67.8641667 134.140556

1.49203238 2.01213565 3.52564751 0.08011061

6000000

1 10

60000000 1000000 300000

10 3

mm+10ppm mm+10ppm mm+10ppm mm+10ppm

BC

4550.8212

Angulo 1 2 3 4 5 6 7 8 9 10 11

W

° 69 93 58 69 42 41 26 28 35 48 27

-1.59 -3.45 0.78 -1.79 6.556564738

Beta

' 16 11 46 10 34 16 58 2 6 35 1

'' 3.12 4.21 19.24 15.92 24.32 35.04 45.87 33.75 34.69 26.54 52.98

° 69.2675333 93.1845028 58.7720111 69.1710889 42.5734222 41.2764 26.9794083 28.0427083 35.1096361 48.5907056 27.0313833

B

RADIANES SEGUNDOS 1.20894652 249363.12 1.62637639 335464.21 1.0257651 211579.24 1.20726325 249015.92 0.74304639 153264.32 0.72040908 148595.04 0.47087951 97125.87 0.48943759 100953.75 0.61277875 126394.69 0.8480678 174926.54 0.47178664 97312.98

1 0 0 0 7.97E-01

0 0 0 1 1.17E-01

M-1

0.38809831 -0.2104659 0.04791096 0.10894719 -0.0835013

-0.2104659 0.38689294 -0.1637621 -0.1490528 0.04324136

V

-0.3907743 0.83435009 -0.6013133 -0.3419367 -1.6147667 1.93297545 -0.7562721 1.55696324 1.17365057 -0.4573172 1.26444098

6.5566E-06

2.11E-06 1 7.97E-07 2 1.171455E-07 3 1.28E-06 4 -0.000000801 5 2.27E-07 6 -2.17E-06 7 0 8 0 9 0 10 1.32E-06 11 -5.397402E-07

1 2 3 4 5

69 93 58 69 42

7.97E-01 1.17E-01 1.28E+00 -8.01E-01 2.27E-01 -2.17E+00 0.00E+00 0.00E+00 0.00E+00 1.32E+00 -5.40E-01

16 11 46 10 34

2.72922566 5.04435009 18.6386867 15.5780633 22.7052333

grados rads 69.2674248 1.20894463 93.1847345 1.62638043 58.7718441 1.02576219 69.1709939 1.20726159 42.5729737 0.74303856

6 7 8 9 10 11

41 26 28 35 48 27

16 58 2 6 35 1

36.9729755 45.1137279 35.3069632 35.8636506 26.0826828 54.244441

41.2769369 26.9791983 28.0431408 35.1099621 48.5905785 27.0317346

0.72041845 0.47087584 0.48944514 0.61278444 0.84806558 0.47179277

e1= e2= e3= e4=

-1.08 -0.66 0.37 -1.01 648000

5+6 10+11

° RADIANES SEGUNDOS 83.8498222 1.463455475 301859.36 75.6220889 1.319854438 272239.52

0 0 0 1 1.28E+00

0 0 1 0 -8.01E-01

0 0 1 0 2.27E-01

0.04791096 -0.1637621 0.39112988 0.01449152 0.08630811

0.10894719 -0.1490528 0.01449152 0.42364541 -0.0874532

-0.0835013 0.04324136 0.08630811 -0.0874532 0.15722054

La

2.72922566 5.04435009 18.6386867 15.5780633 22.7052333 36.9729755 45.1137279 35.3069632 35.8636506 26.0826828 54.244441

BC

4550.8212

AB AE

2798.62417 2591.47848

0 1 1 0 -2.17E+00

0 1 1 0 0.00E+00

K

13.85269637 2.770539274

AC

4713.52322

0 1 0 1 0.00E+00

0.59609549 0.57755508 -1.3338271 0.97940816 -1.2382725

1 1 0 0 0.00E+00

1 1 0 0 1.32E+00

ED DC

2511.28807 5173.76159

1 0 0 0 -5.40E-01

DADOS LOS SIGUIENTES DATOS: Xa= Xb= Xc= Ángulos:

dAB= dBC=

tgB1= tgB2= Áng. B=

4327.621 4856.355 5281.62

Ya= Yb= Yc=

A B1 B2 C

2342.782 2698.604 2122.575

80.115 47.28 45.5 72.4125

92.78

637.3138 716.003 rads 0.97844272 0.63595162

grados 56.0606383139 36.4373439836

92.4979823

Método Paramétrico A= B1= B2= C=

A=

Xa1 Xa2 Ang. ABC-Xa2 Xa3 1 0 0 0

X=

0 -0.1410089 0

Var.post=

0.03976699

Xo=

0 1 -1 0

0 0 0 1

Xa=

grados

80.115 47.28 72.4125

-1 0 0

-N-1=

80.115 47.1389911488 72.4125

AX=

80.115 47.28 45.2179823 72.4125

Lo=

0 -0.5 0

0 -0.1410089 0.14100885 0

L=

0 0 -1

U=

V=

0 -0.1410089 -0.1410089 0

0 0 -0.282017702 0

P= I

0 0.282017702 0

La=

GRADOS 80.115 47.1389911 45.3589911 72.4125

A B1 B2 C

RADS 1.39827053 0.8227306 0.79166374 1.26383654

Realice la compensación de las coordenadas del punto P. Determinado por intersección directa mediante 3 ptos. De coord. Fija E N P1 ### 10042133.2800 dPP1= 2861.717 P2 ### 10040493.7600 dPP2= 3140.062 P3 ### 10041632.9700 dPP3= 2573.825 grados rads alfa 44 32 18 44.5383333 0.77734056 beta 60 50 31 60.8419444 1.06189225 gama 69 42 28 69.7077778 1.21663024 ang. T ang. S

0.77548426 44.431975386 1.16866981 66.9598477919

ang. P1

184.911944

AzP2P3= AzP3P=

111.391823

xo= yo=

(𝑥𝑝 −𝑥𝑝2)^2+ (�� −��2)^2- (𝑑𝑃𝑃2)^2 = 0

522500 10043500

(𝑥𝑝−𝑥𝑝3)^2+ 〖 (��−��3) 〗 ^2−𝑑𝑃𝑃3^2 =0

W=

2.7179 11.5987 5.0459

P=I

2(xp-xp1) 2(xp-xp2) 2(xp-xp3)

A=

A=

1 0 0 -5723.434 0 0 0 0

V1 V2 V3 K1 K2 K3 x1

-0.0002716 0.00030214 -0.0002199 4.746E-08 -4.8111E-08 4.2725E-08 -3.2783E-05

0 1 0 0 -6280.124 0 0 0

293.040152208 43.3323744304

0 0 1 0 0 -5147.65 0 0

2(yp-yp1) 2(yp-yp2) 2(yp-yp3)

-5028.52 -1813.86 3543.32

2733.44 6012.48 3734.06

5723.434 0 0 0 0 0 -5028.52 2733.44

0 6280.124 0 0 0 0 -1813.86 6012.48

La=

Xa=

2861.717 3140.062 2573.825 522500.0000 10043499.9984

x2

-0.0016234

nte 3 ptos. De coord. Fijas. P1P2 P2P3

2295.98248 2910.78062

Si no me da las coord del punto P= Xp= 519170.8544 Yp= 10040075.48

B=

0

0 0

=-2(dPP2)

0 0

0

=-2(dPP3)

-5723.434 0 0

B=

0 0 5147.65 0 0 0 3543.32 3734.06

=-2(dPP1)

0 0 0 -5028.52 -1813.86 3543.32 0 0

varianza

0 0 0 2733.44 6012.48 3734.06 0 0

2.134469E-07 7.114898E-08

0 -6280.124 0

0 0 -5147.65

0 0 0 2.71791288 11.5986573 5.04587241 0 0

Punto

Este 1 2 3 4

Xo=

786101 786173 786099 786172

Norte 9960580 9960578 9960511 9960509

2 1

0 -426 145 -423 117 0

W=

D

E1

-144.05554 0 -144.05554 0 -144.05554 0 -144.05554 0 0 -199.64969 0 -199.64969

1 0 0 0 0 0 0 0 -144 4 0 0 -142 0 0 0

0 1 0 0 0 0 0 0 144 0 0 2 0 148 0 0

B=

0 0 1 0 0 0 0 0 0 -4 -146 0 0 -148 0 0

P4

1

P 3

〖 (�1−�2) 〗 ^2+ 〖 (𝑁1−𝑁2) 〗 ^2 − 〖�1 〗 ^2=0 〖 〖 (�1−�3) 〗 ^2+ 〖 (𝑁1−𝑁3) 〗 ^2 − 〖�1 〗 ^2=0 〖 〖 (�3−�4) 〗 ^2+ 〖 (𝑁3−𝑁4) 〗 ^2 − 〖�1 〗 ^2=0 〖 〖 (�2−�4) 〗 ^2+ 〖 (𝑁2−𝑁4) 〗 ^2 − 〖�1 〗 ^2=0 〖 〖 (�1−�4) 〗 ^2+ 〖 (𝑁1−𝑁4) 〗 ^2 − 〖�1 〗 ^2=0 〖 〖 (�2−�3) 〗 ^2+ 〖 (𝑁2−𝑁3) 〗 ^2 − 〖�1 〗 ^2=0 〖 A=

P2

1

72.0277724 lado 99.8248466 diagonal

L

1

P 1

0 0 0 1 0 0 0 0 0 0 146 -2 142 0 0 0

0 0 0 0 1 0 0 0 4 138 0 0 142 0 0 0

E2 -144 4 0 0 -142 0

144 0 0 2 0 148

0 0 0 0 0 1 0 0 -4 0 0 138 0 134 0 0

0 0 0 0 0 0 1 0 0 -138 4 0 0 -134 0 0

V1 V2 V3 V4 V5 V6 V7 V8 K1 K2 K3 K4 K5 K6 X1 X2

0.77815725 -0.5293829 1.01646399 -1.2652383 0.73593632 0.96717964 -0.9868352 -0.7162807 -0.0045118 0.00621438 -0.0078719 0.00616934 -0.0007296 0.00072958 -1.3134569 0.16555323

Terreno cuadrangular. Buscar diagonal y lado.

P=I

E3

E4 0 -4 -146 0 0 -148

N1 0 0 146 -2 142 0

N2 4 138 0 0 142 0

N3 -4 0 0 138 0 134

N4 0 -138 4 0 0 -134

0 0 -4 -138 -142 0

0 144 -4 0 0 142 0 0 -144 0 0 -2 0 -148 0 0 4 146 0 0 148 0 0 0 -146 2 -142 0 0 -4 -138 0 0 -142 0 0 4 0 0 -138 0 -134 0 0 138 -4 0 0 134 1 0 0 4 138 142 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -4 0 0 0 0 0 0 -138 0 0 0 0 0 0 -142 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -144.05554484 -144.05554 -144.05554 -144.05554 0 0 0 0 0 0 0 -199.64969 -199.64969

0 0 0 0 0 0 0 0 -144.05554 -144.05554 -144.05554 -144.05554 0 0 0 0

La=

786101.778157 786172.470617 786100.016464 786170.734762 9960580.73594 9960578.96718 9960510.01316 9960508.28372

ESTE

NORTE

70.7143154788 lado 99.9903998343 diagonal varianza. Post

1.08062377

6.4837426

0 0 0 0 0 0 0 0 0 0 0 0 -199.64969 -199.64969 0 0

0 0 0 0 0 0 0 0 0 -426 145 -423 117 0 0 0

Realice la compensación de las coordenadas del punto P. Determinado por intersección directa mediante 3 ptos. De coord. Fija E N P1 525014.2600 10042133.2800 dPP1= 2861.717 P2 523406.9300 10040493.7600 dPP2= 3140.062 P3 520728.3400 10041632.9700 dPP3= 2573.825 grados rads alfa 44 32 18 44.5383333 0.77734056 beta 60 50 31 60.8419444 1.0618922539 gama 69 42 28 69.7077778 1.2166302365 ang. T ang. S

ang. P1

0.7754842637 44.431975386 1.1686698106 66.9598477919

AzP2P3= AzP3P=

111.391823

184.9119444444 xo= yo=

(𝑥𝑝 −𝑥𝑝2)^2+ (�𝑝 −�𝑝2)^2- (𝑑𝑃𝑃2)^2 = 0

(𝑥𝑝−𝑥𝑝3)^2+ 〖 (�𝑝−�𝑝3) 〗 ^2−𝑑𝑃𝑃3^2 =0

W=

30190486.7701 8259301.1436 -1773052.6494

P=I

A=

A=

1 0 0 -5723.434 0 0 0 0

V1 V2 V3 K1 K2 K3 x1

-0.0005449 0.00059289 0.00051703 9.521E-08 -9.4407E-08 -1.0044E-07 0.00053676

0 1 0 0 -6280.124 0 0 0

519170.85445 10040075.48445

2(xp-xp1) 2(xp-xp2) 2(xp-xp3) -11686.8111013687 -8472.1511013687 -3114.9711013688

0 5723.434 0 0 1 0 0 0 0 0 -5147.65 0 0 -11686.8111013687 0 -4115.591101367

La=

Xa=

x2

-0.0011479

mediante 3 ptos. De coord. Fijas. P1P2 P2P3

293.040152 43.3323744

2(yp-yp1) 2(yp-yp2) 2(yp-yp3) -4115.5911 -836.5511 -3114.9711

0 0 6280.124 0 0 5147.65 0 0 0 0 0 0 -8472.1511 -3114.9711 -836.5511 -3114.9711

2295.9824824 2910.780619

Si no me da las coord del punto P= Xp= 519170.8544 Yp= 10040075.48

B=

0

0 0

=-2(dPP2)

0 0

0

=-2(dPP3)

-5723.434 0 0

B=

0 0 0 -5028.52 -1813.86 3543.32 0 0

2861.717 3140.062 2573.825 varianza 519170.855 10040075.5

=-2(dPP1)

0 0 0 2733.44 6012.48 3734.06 0 0

9.157843E-07 3.052614E-07

0 -6280.124 0

0 0 -5147.65

0 0 0 2.71791288 11.5986573 5.04587241 0 0

Realice la compensación de las coordenadas del punto P. Determinado por intersección directa mediante 3 ptos. De coord. E N P1 525014.2600 10042133.2800 dPP1= 2861.717 P2 523406.9300 10040493.7600 dPP2= 3140.062 P3 520728.3400 10041632.9700 dPP3= 2573.825 grados rads alfa 44 32 18 44.5383333 0.77734056 beta 60 50 31 60.8419444 1.06189225 gama 69 42 28 69.7077778 1.21663024 ang. T ang. S

0.7754842637 44.431975386 1.1686698106 66.9598477919

ang. P1

184.91194444

AzP2P3= AzP3P=

111.3918231779 1.9441540743

xo= yo=

(𝑥𝑝 −𝑥𝑝2)^2+ (�� −��2)^2- (𝑑𝑃𝑃2)^2 = 0

522500 10043500

(𝑥𝑝−𝑥𝑝3)^2+ 〖 (��−��3) 〗 ^2−𝑑𝑃𝑃3^2 =0

W=

2.7179 11.5987 5.0459 -0.001129546

P=I

2(xp-xp1) 2(xp-xp2) 2(xp-xp3)

A=

-5028.52 -1813.86 3543.32 0

A=

1 0 0 1 0 0 0 0 0 0 0 0 -5723.434 0 0 -6280.124 0 0 0 0.0010809953 0 0 0 0 v1 v2 v3 v4 v5 v6

-0.000281598 0.0002873154 -0.000227999 0.1066476819 0.0239682536 0.0239682536

0 0 1 0 0 0 0 0 -5147.65 0 0 0

La=

0 0 0 1 0 0 0 0 0 -4.4495391209 0 0 2861.71672 3140.06229 2573.82477 0.88399 1.08586 1.24060

0 0 0 0 1 0 0 0 0 -1 0 0

0 0 0 0 0 1 0 0 0 -1 0 0

k1 k2 k3 k4 xp yp

4.920088E-08 -4.987561E-08 4.429186E-08 -0.023968254 -2.928981E-05 -0.001637828 #N/A

varianza

522499.99997 10043499.99836

ecta mediante 3 ptos. De coord. Fijas. P1P2 P2P3

293.040152 43.3323744

2295.98248 2910.78062

Si no me da las coord del punto P= Xp= 519170.854 Yp= 10040075.5

l1

l2

=-2(dPP1)

B=

-5723.434 0 0 0

0 -6280.124 0 0.001081

0 0 -5147.65 0

0 0 0 -0.001081 5147.65 0 0 4.44953912 0 1 0 1 0 0 0 0 0 0 0 0 3543.32 0 3734.06 0

0 0 0 0 0 0 -5028.52 -1813.86 3543.32 0 0 0

0 0 0 0 0 0 2733.44 6012.48 3734.06 0 0 0

B=

2733.44 6012.48 3734.06 0

0.0125229

alfa 0 0

0 0

0 =-2(dPP2) 0 0 =-2(dPP3) sen(t)*L2/L1^2* (Ö(1-(sent*L2/L1))^2

2(yp-yp1) 2(yp-yp2) 2(yp-yp3)

5723.434 0 0 6280.124 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5028.52 -1813.86 2733.44 6012.4800000005

l3 0

alfa beta gama

50.6487954 62.2152242 71.0810575

0 0 0 -4.4495391209

295.3369 sin P1

0.00313072

beta

gama 0 0

0 0

0 0 0 -1

0 0 0 -1

0 0 0 0 0 0 2.71791288 11.5986573 5.04587241 0.52246923 0 0

P1 P2 P3 P4 Xo Yo Ro

E 786101.54 786172.25 786101.54 786172.25

N 9960580.17 9960580.17 9960509.45 9960509.45

teta beta s d xp yp

76 275

32 20

1084.45 1396.3 1532.5 865.1

50 10

76.5472222 1.33600106 275.336111 4.80552169

𝑥𝑡−𝑥𝑜−𝑆∗cos(𝜃)=0

𝑥𝑡−𝑥𝑝−𝑑∗𝑠𝑒𝑛𝑜(270−+)=0 s

A=

1 1 0 0

0 0 1 1

B=

d -0.2326439 0 0 -0.9467117 -0.972562 0 0 -0.9467117

1 0 0 0 0.23264387 0 0.97256199 0 1 0 0 0 0.94671174 0 0 0 1 0 -1054.6949 449.72325 252.290649 0 0 0 1 0 -449.72325 0 -0.249582 0 1050.13114 0 0 0 0 0 -0.8678618 -693.68976 693.689757 0 0 0 -0.9683537 0 -270.65919 0 0 0 0 0 -0.8678618 1211.79545 -1211.7954 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1

0.00779274 -0.013598 -3.0884876 -4.1980534 -0.0083477 0.00834769 -0.0060158 0.00601577 3243.3189 -835.91999

1084.45779 1396.2864 -1.7524865 0.60746832

3495.60955 218.774867

-100.41008 34.8053707

Xo de xt

252.290649 X 1054.69485 Y 270 4.71238898

teta beta 1054.69485 0 -449.72325 449.72325 -252.29065 0 1321.8936 -1321.8936

0 0.94671174 -1321.8936 1321.8936 0 0 0 0 0 1

0 0 0 0 1 1 0 0 0 0

W=

0 0 0 0 0 0 1 1 0 0

79.58992 214.805371 27.1626532 6.79066329

0 -2602.103 0 -260.1284

0 0 0 0 0 -2473.6363 0 -508.65862 0 0