Proyecciones y cálculos en geodesia

PROYECCIONES SIN CORREGIR CORRECCIONES PROYECCIONES CORREGIDAS COORDENADAS

PROD

PROD

EST PV DISTANCIA ANGULO OBSERVADO Ci ANGULO COMPENSADO AZIMUT RUMBOS E W N S Cx Cy E W N S A 100 100 10722.41

A B 7.2995 111°39'39.33'' - 5.1'' 111°39'34.23'' 81°50''03'' 81°50''03'' 7.2255 1.0368 -0.00136 -0.00003 7.2241 1.0368 B 107.2241 101.0368 10103.68 10891.5043

B C 6.2905 103°23'50'' - 4.72'' 103°23'45.28'' 5°13'48.28'' 5°13'48.28'' 0.5734 6.2643 -0.00011 -0.00017 0.5733 6.2641 C 107.7974 107.3009 11505.2424 10961.302

C D 6.005 104°48'37.33'' - 4.79'' 104°48'32.54'' 290°02''20.82'' 69°57'39.18'' 5.6415 2.0577 0.00106 -0.00005 5.6426 2.0577 D 102.1548 109.3586 11788.5727 10535.3451

D E 6.53 132°55'16.33'' - 6.07'' 132°55'10.26'' 242°57'31.08'' 62°57'31.08'' 5.8161 2.9688 0.00109 0.00008 5.8172 2.9689 E 96.3376 106.3897 10868.2185 10638.97

E A 7.365 87°13'1.67'' - 3.98'' 87°12'57.69'' 150°10'28.77'' 29°49'31.23'' 3.663 6.3895 -0.00069 0.00017 3.6623 6.3897 A 100 100 9633.76

P=33.49 540°0’24.66’’ -0°0’24.66 540°0’0’’ 11.4619 11.4576 9.3588 9.3583 11.4597 11.497 9.3586 9.3586

PASO 1

COMPROBACION ANGULOS DEL POLIGONO

-∑ ANGULOS INT= 180(5-2)

= 180(3)

= 540

-ERROR ANGULAR K= (0°0^' 24.66'')/(540°0^' 66'')=1.2685X〖10〗^(-5)

EA= 540°0’24.66’’-540°

EA= 0°0’24.66’’

-TOLERANCIA ANGULAR

TA= ± 0°1’ √5

TA= 0°2’14.16’’

EA≤TA= SE ACEPTA

PASO 2 CÁLCULO DE AZIMUTS

AZ BC= (81°50'03''+180°)+103°23'45.28''= 5°13'48.28''

AZ CD= (5°13'48.28''+180°)+104°48'32.54''=290°02'20.82''

AZ DE= (290°02'20.82''-180°)+132°55'10.26''=242°57'31.08''

AZ EA= (242°57'31.08''-180°)+87°12'57.69''=150°10'28.77''

AZ AB= (150°10'28.77''+180°)+111°39'34.23''= 81°50'03''

PASO 4 CÁLCULO DE PROYECCION DE LOS LADOS DEL POLIGONO

X=7.2995 sen(81°50'03'')= 7.2255

AB Y=7.2995 cos(81°50'03'')=1.0368

X=6.2905 sen(5°13'48.28'')=0.5734

BC Y=6.2905 cos(5°13'48.28'')=6.2643

X=6.005 sen(69°57'39.18'')=5.6415

CD Y=6.005 cos(69°57'39.18'')=2.0577

X=6.53 sen(62°57'31.08'')=5.8161

DE Y=6.53 cos(62°57'31.08'')=2.9688

X=7.365 sen(29°49'31.23'')= 3.6630

EA Y=7.365 cos(29°49'31.23'')=6.3895

PASO 5 DETERMINACION DE LOS ERRORES Ex y Ey

∑E =11.4619 ∑N= 9.3588

-∑W =11.4620

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