Plantilla Calculos Cartografía Matemática

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Coordenadas UTM X Y H V1 V2 A 1.005073987 m 6367654.49 B 0.005084684 n 16107.0277 C 1.0717E-05 p 16.9744555 D 2.07694E-08 q 0.02193076 N n^2 p V1 6378388 0.00676817 6335508.2 V2 6378388 0.00676817 6335508.2 φ λ V1 0 -0.0783403 V2 0 -0.0783403

description

la cartografia es un tema topografco la cual sera de mucha ayuda en todo lo que trate, tpograficamnete

Transcript of Plantilla Calculos Cartografía Matemática

UTM a GeodsicasCoordenadas UTM

XYHElipsoideV1a6378388V2xy = Sme0.00672267V1-500200.0800320130e'0.0067681702V2-500200.0800320130ko0.9996A1.0050739874m6367654.49129146B0.0050846837n16107.0276636486'00C0.000010717p16.9744554954' 100D0.0000000208q0.0219307596' 200' 300Nn^2pV163783880.00676817026335508.20220159TanCosV263783880.00676817026335508.20220159V101V201

HusoNn^2pV10-0.0783402814V10-4.4885674899V163783880.00676817026335508.20220159V20-0.0783402814V20-4.4885674899V263783880.00676817026335508.20220159

Geodsicas a UTMCoordenadas Geodsicas

ElipsoideHuso 30V1a6378388V2V100.0523598776e0.00672267A1.0050739874m6367654.49129146V200.0523598776e'0.0067681702B0.0050846837n16107.0276636486ko0.9996C0.000010717p16.9744554954Sm V10D0.0000000208q0.0219307596Sm V20

Nn^2pXYHusoV163783880.00676817026335683.19687718V1833991.704334997030V263783880.00676817026335683.19687718V2833991.704334997030

Huso 31V1V2V10-0.0523598776A1.0050739874m6367654.49129146V20-0.0523598776B0.0050846837n16107.0276636486C0.000010717p16.9744554954Sm V10D0.0000000208q0.0219307596Sm V20

Nn^2pXYHusoV163783880.00676817026335683.19687718V1166008.295665003031V263783880.00676817026335683.19687718V2166008.295665003031

Acimut Geodsico y UTMXYNn^2pV1ElipsoideV2a6378388V3e0.00672267e'0.0067681702AxAyAcimutko0.9996V1 a V200ERROR:#DIV/0!ERROR:#DIV/0!V2 a V300ERROR:#DIV/0!ERROR:#DIV/0!

Calculamos la reduccion angular dTxyNmnmpmdTV1-500200.0800320130dT V1 a V2ERROR:#DIV/0!V2-500200.0800320130dT V1 a V3ERROR:#DIV/0!V3-500200.0800320130Calculamos la convergencia de meridianos.V10V20V30Obtenemos el acimut geodsico.V1 a V2ERROR:#DIV/0!ERROR:#DIV/0!sexaERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!V2 a V3ERROR:#DIV/0!ERROR:#DIV/0!sexaERROR:#DIV/0!ERROR:#DIV/0!ERROR:#DIV/0!

Distancia UTM y Reducida

XYHNn^2pElipsoideV1a6378388V2e0.00672267e'0.0067681702ko0.9996AXAYD utmV1 a V2000K V0.9996K M0.9996Kd0.9996km0.9996D20D1ERROR:#DIV/0!RERROR:#DIV/0!

HmERROR:#DIV/0!KhERROR:#DIV/0!DrERROR:#DIV/0!

Clculo de N n y p

XYHxy = SmElipsoide22-500200.0800320130a6378388e0.00672267A1.0050739874m6367654.49129146'0e'0.0067681702B0.0050846837n16107.0276636486' 10ko0.9996C0.000010717p16.9744554954' 20D0.0000000208q0.0219307596' 30Nn^2pTanCos263783880.00676817026335508.20220159201

Nn^2p20-0.0783402814263783880.00676817026335508.20220159Nn^2p63783880.00676817026335508.202201590-0.0783402814

PoligonalDadas las coordenadas de los puntos en el sistema SGR ED50.X utmY utmHusoElipsoide de Hayforfd1720781.6054393632.52130a63783884732804.3524413105.40230e0.00672267e'0.0067681702540.02750.3472222167wko0.9996R6367640.91900784639.88513284170.2655899806wb6356911.946Y las observaciones de la poligonal sobre el elipsoide de HayfordEstVisHzHz radDist Elip155.973910.093837958812104.41321.64011871038765.84521273.07644.289474060523383.59226.025452187511234.34232274.357754.30960145933458.21780.91448306399649.27543158.238852.485610043446368.28455.7849993982Determinar las coordenadas UTM de los puntos 2 y 3, haciendo que los errores de cierren angular sea mnimo.1. Obtenemos las coordenadas UTM de los puntos 5 y 6.

ElipsoideHuso 30540.02750.3472222167a6378388639.88513284170.265589980650.69861166630.0462997066e0.00672267A1.0050739874m6367654.4912914660.69612689070.0477244579e'0.0067681702B0.0050846837n16107.0276636486ko0.9996C0.000010717p16.9744554954Sm 54432658.50554984D0.0000000208q0.0219307596Sm 64416850.49064237

Nn^2pXYHuso56387275.124139390.00396852596335645.059656275726373.8200572784434257.228910483066387222.455471360.00398508336335653.605775436733825.5571240054418663.16197048302. Ahora obtenemos las coordenadas Geodsicas de los puntos 1 y 2, para poder obtener una latitud correcta.

XYHElipsoide1720781.6054393632.521a63783884732804.3524413105.402xy = Sme0.006722671220869.9529811924395390.67727091e'0.00676817024232897.5110044024414871.35054022ko0.9996A1.0050739874m6367654.49129146B0.0050846837n16107.0276636486'0.69026840.6933277169C0.000010717p16.9744554954' 10.69275126970.6958134974D0.0000000208q0.0219307596' 20.69275363910.695815794' 30.69275364130.6958157961Nn^2p16387151.032111760.00400753736361656.45685942TanCos46387215.864730810.00398715536361850.1803367610.82997602790.769490298140.83516077260.7675310223

HusoNn^2p10.69225575950.0449179875139.6633333641-0.4263888913016387140.498000170.0040108496361624.9807185840.6952588230.0474817391439.8353962282-0.27949674673046387204.066801640.00399086426361814.927174483. Realizamos la transicin de la poligonalCalculamos la desorientacion del primer punto a partir de la observacion a la referencia.

estVisadoLHAXAYAcimutdTAcimut CorregidoDesorientacion155.973910.09383795885592.21505727840624.70791047630.13679578798.70869033340.00011206240.00713411320.13690785038.71582444650.04306989142.7419144465X utmY utmxyNmn^2mpm1720781.6054393632.521220869.9529811924395390.677270916387207.811069780.00398968756348635.020187425726373.8200572784434257.22891048226464.4058196064436031.6415671Calculamos una primeras coordenadas del punto 2.estVisadoLHDistanciaAcimutK1D UTM12104.41321.64011871038765.8451.6831886017107.15511444661.00019998488767.5980361454

XY2729493.8850524164392649.18402231Son coordenadas aproximadas del punto 2.Nn^2p26387136.383238260.00401214266361612.685754050.69206125430.0466827603Con estas coordenadas calculamos unas segundas coordenadas aproximadas.estVisadoLHDistanciaAcimutdT 1 a 2Acimut corregidoK1 1K1 2K1 mD UTM12104.41321.64011871038765.8451.6831886017107.1551144466-0.00000271971.6831913214107.15528758881.00019998481.00024826621.00022412558767.8096494946xy229585.7193401524394406.94680103

XYDifAXAY2729494.092656134392649.136593190.2076037137-0.0474291202Nn^2p26387136.383060010.00401214276361612.685221430.69206124590.0466828022Con estas coordenadas calculamos unas segundas coordenadas aproximadas.estVisadoLHDistanciaAcimutdT 1 a 2Acimut corregidoK1 1K1 2K1 mD UTM12104.41321.64011871038765.8451.6831886017107.1551144466-0.00000271981.6831913215107.15528759721.00019998481.00024826741.00022412618767.8096546347xy229585.9270269414394406.89935293

XYDifAXAY2729494.0926611084392649.136591470.0000049779-0.0000017267Calculamos una primeras coordenadas del punto 3

estVisadoLHAXAYAcimutdTAcimut CorregidoDesorientacion21273.07644.2894740605-8712.4876611079983.3844085345-1.458401332307.15528759720.00000275520.0001753987-1.4583985769307.1554629958-5.747872637434.0790629958X utmY utmxyNmn^2mpm2729494.0926611084392649.13659147229585.9270319214394406.899351216387138.440530090.00401149596361618.832973720781.6054393632.521220869.9529811924395390.67727091estVisadoLHDistanciaAcimutK1D UTM23383.59226.025452187511234.3420.2775795517.67126299581.000248267411237.1311203371

XY3732573.3885848114403456.12749689Son coordenadas aproximadas del punto 3Nn^2p36387171.997647440.00400094616361719.102617720.69374426830.04737503Con estas coordenadas calculamos unas segundas coordenadas aproximadas.estVisadoLHDistanciaAcimutdT 1 a 2Acimut corregidoK1 2K1 3K1 mD UTM23383.59226.025452187511234.3420.2775795517.67126299580.00003080280.277548747217.66930202871.00024826741.00026576471.000257016111237.2294062077xy232666.4551668784405218.2147828

XYDifAXAY3732573.0826280154403456.31686716-0.30595679560.1893702736Nn^2p36387171.998307930.00400094596361719.10459130.69374429950.0473749689Con estas coordenadas calculamos unas segundas coordenadas aproximadas.estVisadoLHDistanciaAcimutdT 1 a 2Acimut corregidoK1 1K1 2K1 mD UTM23383.59226.025452187511234.3420.2775795517.67126299580.00003080330.277548746717.66930199521.00024826741.0002657631.000257015211237.2293963683xy232666.149087654405218.40422885

XYDifAXAY3732573.0826196344403456.31685932-0.0000083818-0.0000078427Calculamos una primeras coordenadas del punto 4

estVisadoLHAXAYAcimutdTAcimut CorregidoDesorientacion32274.357754.3096014593-3078.9899585256-10807.18026785460.2775487467217.6693019952-0.0000309405-0.00196973140.2775178062217.66733226385.3926943077343.3095822638X utmY utmxyNmn^2mpm3732573.0826196344403456.31685932232666.1490792654405218.404221016387154.190683970.00400654436361665.894906362729494.0926611084392649.13659147229585.9270319214394406.89935121estVisadoLHDistanciaAcimutK1D UTM3458.21780.91448306399649.2756.3071773717801.52738226381.0002657639651.8394202431

XY4732804.6279583654413105.37852097Son coordenadas aproximadas del punto 3Nn^2p46387139.947666310.0040110226361623.336312610.6922297460.0472685185Con estas coordenadas calculamos unas segundas coordenadas aproximadas.estVisadoLHDistanciaAcimutdT 1 a 2Acimut corregidoK1 2K1 3K1 mD UTM3458.21780.91448306399649.2756.3071773717801.52738226380.00002775646.3071496152801.52561523421.0002657631.00026445031.00026510669651.8330868708xy232897.7870731954414871.32705179

XYDifAXAY4732804.3599829544413105.37861257-0.2679754120.0000916021Nn^2p46387139.947735540.0040110226361623.336519480.69222974930.0472684642Con estas coordenadas calculamos unas segundas coordenadas aproximadas.estVisadoLHDistanciaAcimutdT 1 a 2Acimut corregidoK1 1K1 2K1 mD UTM3458.21780.91448306399649.2756.3071773717801.52738226380.00002775646.3071496153801.52561523491.0002657631.00026444881.00026510599651.8330794903xy232897.518990554414871.32714343

XYDifAXAY4732804.364413105.37860519-0.0000000766-0.0000073807732804.3524413105.402Realizamos el cierre acimutal

estVisadoLHAXAYAcimutdTAcimut CorregidoDesorientacion43158.238852.4856100434-231.2773632434-9649.0617458690.0239643081201.5256152349-0.0000277656-0.00176761450.0239365424201.52384762040.679919152743.2849976204X utmY utmxyNmn^2mpm4732804.364413105.38232897.5189904734414871.327136046387155.973021740.00400598396361671.220555393732573.0826196344403456.31685932232666.1490792654405218.40422101estVisadoLHAcimutdTAcimut corregida46368.28455.78499939826.464918550811.56949762040.00001605420.00102204016.464902496711.5684755803

XYxyNmn^2mpm4732804.364413105.37860519232897.5189904734414871.327136046387181.201603450.00399805276348638.471147456733825.564418663.16197048233919.1247739144420431.33450428Ahora comparamos con las coordenadas dato

XYAXAYacimut4732804.354413105.4021021.215557.760.181717071211.5684680515Dif acimut-0.00000752896733825.564418663.16197048