Gauss-Kruger (21°)

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transformari coordonate Gauss-Krugersi Stereo70

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Sheet1Punctul1Precizia de calcul obinut cu aceste formule pentru procedeul cu coeficieni constani este comparabil cu cea obinut cu formulele cu coeficieni variabili. Astfel aceste formule asigur precizia de 1 mm pentru punctele situate n apropierea paralelului de latitudine 0 i a meridianului 0 i un centimetru pentru punctele cele mai ndeprtate.Gauss - KrugerCalculul (transformarea) coordonatelor geografice ( si ) n coordonatele rectangulare plane Gauss (x si y) pe elipsoidul Krasovski 1940.Calculul kilometrilor ntregi pentru caroiajul kilometric.124556 =442230.0000=44.375000Punctul:1 =22450.0000Nr. Crt.xi transformat [m]yi transformat [m]yi fals [m]xintreg [m]yintreg [m]Conversion UTM (WGS-84) -> Gauss(WGS-84) -> Stereo-70 (WGS-84) =460000Trapezul:L-34-130-D-c-1 - Mehedini0 =21000014917067.4318639476.60014639476.60014918000.00004640000.00005096085.926 =(-0)=-22230.0000=-1.625000 = ( - 0)=1450.000024921697.5591639377.63074639377.63074919000.00004641000.0000ko =0.9996X0.UMT =5096085.926mY0.UTM =500000.000m " =-5850.0000" " =6300.0000"34921805.9017644355.43884644355.43884920000.00004642000.00005096175.747f = " *10-4 =-0.58500000l = " * 10-4 =0.6300000044917175.7709644457.94524644457.94524921000.00004643000.0000NUTM =4872000.000mEUTM =4658000.000m5----4644000.0000 x =123456r [m]XGauss/WGS-84 = NUTM / ko =4873949.580mYGauss/WGS-84 = [EUTM - 4mil/5mil - Y0 (1 - k0)] / k0 =658063.225mf0 =1.000000000.00000+ 3752.14570+ 1.40331*l0 =1.00000000=r0 =-180598.19413615658063.225290116f1 =-0.58500000+ 308758.95802-12.09428-0.22026l2 =0.39690000r2 =1489.63790519Laxi transformat [m]yi fals [m]Distana[m]Distana[cm]Suprafaa [ha]F = 10-5 X = 10-5 (XGauss/WGS-84 X0.UTM) =-2.2213635f2 =0.34222500+ 75.36064-17.64146-0.00525l4 =0.15752961r4 =0.2410352914917067.43184639476.60014631.184946.312306.6996551551f3 =-0.20020163-0.06459+ 0.01607+ 0.0013524921697.55914639377.6307L = 10-5 Y = 10-5 (YGauss/WGS-84 Y0.UTM) =1.5806323f4 =0.11711795-0.05909+ 0.013960.00000 x = r = [r]-179108.3152m4630.1273-98.9694x0 =5096175.7470m14917067.43184639476.60016801.188468.01x ( xintermediar )= x0 + x =4917067.4318m34921805.90174644355.4388Notaia coeficientuluiZona 34Zona 35Notaia coeficientuluiZona 34Zona 35S 0,2,4 =-180598.19413615+ 3753.18192288+ 1.530095154738.46994878.838714917067.43184639476.60014982.523249.83C07781.76391945.1702D0-309783.8278154917.9321 y =123456r [m]44917175.77094644457.9452C199932.80274581099983.216874241D15023.802851611-2511.2026324507f0 =1.00000000+ 215179.42083-2.80957-0.03070*l1 =0.63000000=r1 =139476.09186832108.33914981.3452C2-5023.8037346022511.202660307D299932.80275698999983.2168854255f1 =-0.58500000-10767.83826-8.05441-0.00004l3 =0.25004700r3 =0.5112217824921697.55914639377.63074978.987049.79C3-1.446466820-0.361618814D318.996919311-9.5137016275f2 =0.34222500-254.69196+ 0.42862+ 0.00069l5 =0.09924365r5 =-0.0030210234921805.90174644355.4388C4-37.99383847819.027403248D4-2.892933823-0.7232378104f3 =-0.20020163+ 4.13843+ 0.021700.00000y = r = [r]139476.6001m108.34264977.8081C51.4471790660.361663585D5-18.9969120819.5137013972f4 =0.11711795+ 0.05360-0.000830.00000y0 =500000.0000m34921805.90174644355.43884631.265446.31C62.0427598362.046705184D60.099825488-0.0500468614y' ( yintermediar )= y0 + y =639476.6001m44917175.77094644457.9452C7-0.2994763910.150140548D76.1282677326.1401134569S 1,3,5 =+ 221390.622013202.04450275-0.03044046-4630.1308102.5064C8-6.128256303-6.140112741D8-0.2994761670.1501405406C90.099519093-0.050008553D9-2.042759796-2.0467047294C10-0.000209655-0.000059171D100.000693967-0.0003469476Precizia de calcul obinut cu aceste formule pentru procedeul cu coeficieni constani este comparabil cu cea obinut cu formulele cu coeficieni variabili. Astfel aceste formule, folosind tabelele Tarczy-Hornoch - V. K. Hristov, asigur o precizi aproximativ de 0.0001" pentru calculul coordonatelor geografice i sau B i L.C11-0.0027486570.001385068D11-0.000219977-0.0000549802C120.0003226530.000074976D12-0.0041166930.0020769563C130.002734190-0.001383207D130.0002225840.0000577598Calculul (transformarea) coordonatelor rectangulare plane Gauss (x si y) n funcie de coordonatele geografice ( si ) pe elipsoidul Krasovski 1940.C140.0000183770.000004093D140.000687271-0.0003462672Universal Transversal Mercator (UTM)C150.0000570140.000056981D150.000000046-0.0000000230x =4917067.4318Punctul:1y =139476.6001C160.000086588-0.000043089D160.0002712530.0002738642x0 =5096175.7470Trapezul:L-34-130-D-c-1 - MehediniY = y*10-5 =1.394766001K0 =0.9996C17-0.000575911-0.000574154D17-0.0000161730.0000084743 x = (x-x0)*10-5 =-1.791083152Calculul kilometrilor ntregi pentru caroiajul kilometric.C180.000015656-0.000008395D18-0.000582037-0.00057511601245678C190.0002948010.000288651D190.000008018-0.0000042241 " =123456r ["]Nr. Crt.Ni transformat [m]yi adevarat [m]Ei adevarat [m]Ei fals [m]nintreg [m]eintreg [m]C20-0.0000110820.000005619D200.0000579810.0000574699 x0 =1.000000000.0000000-26.2457302+ 0.0043872*Y0 =1.00000000=r0 =-5801.732514915100.6048139476.6001139420.80944639420.80944916000.00004640000.0000 x1 =-1.79108315+ 3238.7724270-0.8191913+ 0.0002442Y2 =1.94537220r2 =-48.282624919728.8801139377.6307139321.87964639321.87964917000.00004641000.0000Xtg.ST70 =-222006.50670.0000Ytg.ST70 =-162889.80260.0000 x2 =3.20797886-0.2560280-0.0131746+ 0.0000090Y4 =3.78447298r4 =0.015134919837.1793144355.4388144297.69664644297.69664918000.00004642000.0000 x3 =-5.74575688+ 0.0001115-0.0002819+ 0.0000003 " = r = [r]-5850.0000"aux1aux244915208.9006144457.9452144400.16214644400.16214919000.00004643000.00004639476.6001X0.ST70 =500000.000mY0.ST70 =500000.000m x4 =10.29112835+ 0.0000208-0.00000570.0000000 0 ' ''=-22229.999999822.50030.0005----4920000.00004644000.0000 x5 =-18.432266600.0000000-0.00000010.00000000 =460000C =0.999750000Si =-5801.73248603-24.81919139+0.00397697 = 0 + 0 =442229.9999998rezultate care se ncadreaz n tolerana cerut de :calc.-dat=-0.0000002LaNi transformat [m]Ei fals [m]Distana[m]Distana[cm]Suprafaa [ha]X34sec.ST70 = X0.ST70 + Xsec = X0.ST70 + C Xtg.ST70 =278048.99491379mT =0.0001"deci transformarea este bun.14915100.60484639420.80944629.332446.29332304.8546645027l" =123456r ["]24919728.88014639321.8796Y34sec.ST70 = Y0.ST70 + Ysec = Y0.ST70 + C Ytg.ST70 =337150.919834062m x0 =1.00000000+ 4647.28456100-0.59725451+ 0.00014563*Y1 =1.39476600=r1 =6301.46114628.2752-98.9298 x1 =-1.79108315+ 75.31951000-0.03516938+ 0.00001478Y3 =2.71333900r3 =-1.461614915100.60484639420.80946798.468067.9847 x2 =3.20797886+ 1.79176400-0.00145632+ 0.00000090Y5 =5.27845425r5 =0.000634919837.17934644297.6966 x3 =-5.74575688+ 0.03516940-0.00004925+ 0.00000004l" = r =6300.0001"aux1aux24736.57454876.8872 x4 =10.29112835+ 0.00072820-0.000001510.00000000 0 ' ''=1450.000128745.0000.00014915100.60484639420.80944980.530249.8053Conversion UTM (WGS-84) -> Gauss(S42) -> Stereo-70 (S42)Calculul (transformarea) coordonatelor rectangulare plane Gauss (x si y) n funcie de coordonatele geografice ( si ) pe elipsoidul Krasovski 1940. x5 =-18.43226660+ 0.00001490-0.000000040.000000000 =21000044915208.90064644400.1621 x6 =33.01372216+ 0.000003000.000000000.00000000 0 = 0 + l0 =22450.0001287108.29574979.3526ko =0.9996X0.UMT =5096175.747mY0.UTM =500000.000mx =4874075.1155Punctul:0y =158186.6911Si =+4517.93424023-0.53866689+0.00012182rezultate care se ncadreaz n tolerana cerut de :calc.-dat=0.000128724919728.88014639321.87964976.995449.7700x0 =5096175.747Trapezul:L-34-130-D-c-1 - MehediniY = y*10-5 =1.581866911T =0.0001"034919837.17934644297.6966NUTM =4872000.000mEUTM =4658000.000m x = (x-x0)*10-5 =-2.221006315108.29934975.817034919837.17934644297.69664629.412946.2941XGauss/S42 = NUTM / ko =4874075.11550mYGauss/S42 = [EUTM - 4mil/5mil - Y0 (1 - k0)] / k0 =658186.69106m " =123456r ["]44915208.90064644400.1621158186.69106 x0 =1.000000000.0000000-26.2457302+ 0.0043872*Y0 =1.00000000=r0 =-7194.5977-4628.2788102.4654F = 10-5 X = 10-5 (XGauss/S42 X0.UTM) =-2.2210063 x1 =-2.22100632+ 3238.7724270-0.8191913+ 0.0002442Y2 =2.50230292r2 =-61.2772Punctul2 x2 =4.93286905-0.2560280-0.0131746+ 0.0000090Y4 =6.26151992r4 =0.0243L = 10-5 Y = 10-5 (YGauss/S42 Y0.UTM) =1.5818669 x3 =-10.95593331+ 0.0001115-0.0002819+ 0.0000003 " = r = [r]-7255.8506"aux1aux2Precizia de calcul obinut cu aceste formule pentru procedeul cu coeficieni constani este comparabil cu cea obinut cu formulele cu coeficieni variabili. Astfel aceste formule asigur precizia de 1 mm pentru punctele situate n apropierea paralelului de latitudine 0 i a meridianului 0 i un centimetru pentru punctele cele mai ndeprtate. x4 =24.33319708+ 0.0000208-0.00000570.0000000 0 ' ''=-3594.149419559.0694.149 x5 =-54.044184370.0000000-0.00000010.00000000 =460000Notaia coeficientuluiZona 34Zona 35Notaia coeficientuluiZona 34Zona 35Si =-7194.59768127-24.48833454+0.00388594 = 0 + 0 =43594.1494195Calculul (transformarea) coordonatelor geografice ( si ) n coordonatele rectangulare plane Gauss (x si y) pe elipsoidul Krasovski 1940.Elementele de calcul pentru suprapunerea trapezului calculat n proiecii diferite.rezultate care se ncadreaz n tolerana cerut de :calc.-dat=3544.1494195124567891011C07781.89371945.2026D0-309788.9962154920.5168T =0.0001"0 =442500.0000=44.416667Punctul:2 =22450.0000nintreg (fals) [m]xi = N / K0 [m]xi - x1tr. [m]xi - x4tr. [m]eintreg (fals) [m]Ei adevarat [m]yiadev. = Ea / K0 [m]yifals [m]yifals - y1fals [m]yifals - y2fals [m]C199932.80271825799983.216867358D15023.802846076-2511.2026317590l" =123456r ["] =460000Trapezul:L-34-130-D-c-1 - Mehedini0 =2100004916000.00004917967.1869899.7551791.41604640000.0000140000.0000140056.02244640056.0224579.4223678.3918C2-5023.8037290662511.202659615D299932.80272942999983.2168785360 x0 =1.00000000+ 4647.28456100-0.59725451+ 0.00014563*Y1 =1.58186691=r1 =7100.1621 =(-0)=-22500.0000=-1.583333 = ( - 0)=1450.00004917000.00004918967.58701900.15521791.81624641000.0000141000.0000141056.42264641056.42261579.82251678.7919C3-1.446440231-0.361612166D318.996593432-9.5135384510 x1 =-2.22100632+ 75.31951000-0.03516938+ 0.00001478Y3 =3.95831019r3 =-2.0814 " =-5700.0000" " =6300.0000"4918000.00004919967.98722900.55542792.21634642000.0000142000.0000142056.82274642056.82272580.22272679.1921C4-37.99318672019.027076895D4-2.892880644-0.7232245160 x2 =4.93286905+ 1.79176400-0.00145632+ 0.00000090Y5 =9.90489117r5 =0.0012f = " *10-4 =-0.57000000l = " * 10-4 =0.630000004919000.00004920968.38743900.95563792.61654643000.0000143000.0000143057.22294643057.22293580.62283679.5922C51.4471524650.361656937D5-18.9965862029.5135382200 x3 =-10.95593331+ 0.03516940-0.00004925+ 0.00000004l" = r =7098.0819"aux1aux2----4644000.0000144000.0000144057.62304644057.62304581.02304679.9924C62.0426907592.046635945D60.099822493-0.0500453600 x4 =24.33319708+ 0.00072820-0.000001510.00000000 0 ' ''=15818.081886158.30118.082 x =123456r [m]C7-0.2994674050.150136042D76.1280605026.1399057390 x5 =-54.04418437+ 0.00001490-0.000000040.000000000 =210000f0 =1.000000000.00000+ 3752.14570+ 1.40331*l0 =1.00000000=r0 =-175968.11567539C8-6.128049073-6.139905023D8-0.2994671810.1501360350 x6 =120.03247478+ 0.000003000.000000000.00000000 0 = 0 + l0 =225818.0818861f1 =-0.57000000+ 308758.95802-12.09428-0.22026l2 =0.39690000r2 =1489.68724142C90.099516108-0.050007052D9-2.042690719-2.0466354900Si =+4488.46995150-0.52582193+0.00011680rezultate care se ncadreaz n tolerana cerut de :calc.-dat=3498.0818861f2 =0.32490000+ 75.36064-17.64146-0.00525l4 =0.15752961r4 =0.24053235C10-0.000209643-0.000059166D100.000693944-0.0003469360T =0.0001"0f3 =-0.18519300-0.06459+ 0.01607+ 0.00135C11-0.0027485660.001385021D11-0.000219963-0.0000549770f4 =0.10556001-0.05909+ 0.013960.00000 x = r = [r]-174478.1879mC120.0003226340.000074974D12-0.0041165560.002076887000cx0 =5096175.7470mC130.002734100-0.001383160D130.0002225680.000057755046250.999750000x ( xintermediar )= x0 + x =4921697.5591mC140.0000183780.000004093D140.000687248-0.0003462560X = Xtg * c + 500000Y = Ytg * c + 500000S 0,2,4 =-175968.11567539+ 3753.30622681+ 1.52690246C150.0000570090.000056976D15-0.000002142-0.0000022110'gradegrademetrimetriC160.000086582-0.000043086D160.0002712320.00027384201435904.1494225818.081943.98448595022.971689413278078.7463337270.8166 y =123456r [m]C17-0.000575862-0.000574106D17-0.0000161750.0000084750f0 =1.00000000+ 215179.42083-2.80957-0.03070*l1 =0.63000000=r1 =139377.15443619C180.000015658-0.000008396D18-0.000581988-0.0005750670f1 =-0.57000000-10767.83826-8.05441-0.00004l3 =0.25004700r3 =0.47923909C190.0002947760.000288627D190.000008019-0.0000042250f2 =0.32490000-254.69196+ 0.42862+ 0.00069l5 =0.09924365r5 =-0.00302227C20-0.0000110820.000005619D200.0000579760.0000574650f3 =-0.18519300+ 4.13843+ 0.021700.00000y = r = [r]139377.6307mf4 =0.10556001+ 0.05360-0.000830.00000y0 =500000.0000mXtg.ST70 =-221976.74240.0000Ytg.ST70 =-162894.97330.0000y' ( yintermediar )= y0 + y =639377.6307mS 1,3,5 =+ 221233.578470151.91659604-0.03045302X0.ST70 =500000.000mY0.ST70 =500000.000mC =0.999750000Precizia de calcul obinut cu aceste formule pentru procedeul cu coeficieni constani este comparabil cu cea obinut cu formulele cu coeficieni variabili. Astfel aceste formule, folosind tabelele Tarczy-Hornoch - V. K. Hristov, asigur o precizi aproximativ de 0.0001" pentru calculul coordonatelor geografice i sau B i L.X34sec.ST70 = X0.ST70 + Xsec = X0.ST70 + C Xtg.ST70 =278078.751755887mCalculul (transformarea) coordonatelor rectangulare plane Gauss (x si y) n funcie de coordonatele geografice ( si ) pe elipsoidul Krasovski 1940.Y34sec.ST70 = Y0.ST70 + Ysec = Y0.ST70 + C Ytg.ST70 =337145.750473687mx =4921697.5591Punctul:2y =139377.6307x0 =5096175.7470Trapezul:L-34-130-D-c-1 - MehediniY = y*10-5 =1.393776307 x = (x-x0)*10-5 =-1.744781879 " =123456r ["] x0 =1.000000000.0000000-26.2457302+ 0.0043872*Y0 =1.00000000=r0 =-5651.7313 x1 =-1.74478188+ 3238.7724270-0.8191913+ 0.0002442Y2 =1.94261239r2 =-48.2838 x2 =3.04426381-0.2560280-0.0131746+ 0.0000090Y4 =3.77374291r4 =0.0150 x3 =-5.31157632+ 0.0001115-0.0002819+ 0.0000003 " = r = [r]-5700.0000"aux1aux2 x4 =9.26754212+ 0.0000208-0.00000570.0000000 0 ' ''=-2250.000000325.0000.000 x5 =-16.169839550.0000000-0.00000010.00000000 =460000Si =-+5651.73125714-24.85508090+0.00398693 = 0 + 0 =44250.0000003rezultate care se ncadreaz n tolerana cerut de :calc.-dat=0.0000003T =0.0001"deci transformarea este bun.l" =123456r ["] x0 =1.00000000+ 4647.28456100-0.59725451+ 0.00014563*Y1 =1.39377631=r1 =6301.4618 x1 =-1.74478188+ 75.31951000-0.03516938+ 0.00001478Y3 =2.70756713r3 =-1.4623 x2 =3.04426381+ 1.79176400-0.00145632+ 0.00000090Y5 =5.25975345r5 =0.0006 x3 =-5.31157632+ 0.03516940-0.00004925+ 0.00000004l" = r =6300.0001"aux1aux2 x4 =9.26754212+ 0.00072820-0.000001510.00000000 0 ' ''=1450.000110645.0000.000 x5 =-16.16983955+ 0.00001490-0.000000040.000000000 =210000 x6 =28.21284303+ 0.000003000.000000000.00000000 0 = 0 + l0 =22450.0001106Si =+4521.14283449-0.54007679+0.00012237rezultate care se ncadreaz n tolerana cerut de :calc.-dat=0.0001106T =0.0001"0Punctul3Precizia de calcul obinut cu aceste formule pentru procedeul cu coeficieni constani este comparabil cu cea obinut cu formulele cu coeficieni variabili. Astfel aceste formule asigur precizia de 1 mm pentru punctele situate n apropierea paralelului de latitudine 0 i a meridianului 0 i un centimetru pentru punctele cele mai ndeprtate.Calculul (transformarea) coordonatelor geografice ( si ) n coordonatele rectangulare plane Gauss (x si y) pe elipsoidul Krasovski 1940. =442500.0000=44.416667Punctul:3 =224845.0000 =460000Trapezul:L-34-130-D-c-1 - Mehedini0 =210000 =(-0)=-22500.0000=-1.583333 = ( - 0)=14845.0000 " =-5700.0000" " =6525.0000"f = " *10-4 =-0.57000000l = " * 10-4 =0.65250000 x =123456r [m]f0 =1.000000000.00000+ 3752.14570+ 1.40331*l0 =1.00000000=r0 =-175968.11567539f1 =-0.57+ 308758.95802-12.09428-0.22026l2 =0.42575625r2 =1597.99358423f2 =0.3249+ 75.36064-17.64146-0.00525l4 =0.18126838r4 =0.27677914f3 =-0.185193-0.06459+ 0.01607+ 0.00135f4 =0.10556001-0.05909+ 0.013960.00000 x = r = [r]-174369.8453mx0 =5096175.7470mx ( xintermediar )= x0 + x =4921805.9017mS 0,2,4 =-175968.11567539+ 3753.30622681+ 1.52690246 y =123456r [m]f0 =1.00000000+ 215179.42083-2.80957-0.03070*l1 =0.65250000=r1 =144354.90995177f1 =-0.57000000-10767.83826-8.05441-0.00004l3 =0.27780595r3 =0.53244179f2 =0.32490000-254.69196+ 0.42862+ 0.00069l5 =0.11827762r5 =-0.00360191f3 =-0.18519300+ 4.13843+ 0.021700.00000y = r = [r]144355.4388mf4 =0.10556001+ 0.05360-0.000830.00000y0 =500000.0000my' ( yintermediar )= y0 + y =644355.4388mS 1,3,5 =+ 221233.578470151.91659604-0.03045302Precizia de calcul obinut cu aceste formule pentru procedeul cu coeficieni constani este comparabil cu cea obinut cu formulele cu coeficieni variabili. Astfel aceste formule, folosind tabelele Tarczy-Hornoch - V. K. Hristov, asigur o precizi aproximativ de 0.0001" pentru calculul coordonatelor geografice i sau B i L.Calculul (transformarea) coordonatelor rectangulare plane Gauss (x si y) n funcie de coordonatele geografice ( si ) pe elipsoidul Krasovski 1940.x =4921805.9017Punctul:3y =144355.4388x0 =5096175.7470Trapezul:L-34-130-D-c-1 - MehediniY = y*10-5 =1.443554388 x = (x-x0)*10-5 =-1.7436984531 " =123456r ["] x0 =1.000000000.0000000-26.2457302+ 0.0043872*Y0 =1.00000000=r0 =-5648.2213 x1 =-1.74369845+ 3238.7724270-0.8191913+ 0.0002442Y2 =2.08384927r2 =-51.7960 x2 =3.04048430-0.2560280-0.0131746+ 0.0000090Y4 =4.34242778r4 =0.0173 x3 =-5.30168776+ 0.0001115-0.0002819+ 0.0000003 " = r = [r]-5700.0000"aux1aux2 x4 =9.24454475+ 0.0000208-0.00000570.0000000 0 ' ''=-2250.000001625.0000.000 x5 =-16.119698380.0000000-0.00000010.00000000 =460000Si =-5648.22131893-24.85592130+0.00398716 = 0 + 0 =44250.0000016rezultate care se ncadreaz n tolerana cerut de :calc.-dat=0.0000016T =0.0001"deci transformarea este bun.l" =123456r ["] x0 =1.00000000+ 4647.28456100-0.59725451+ 0.00014563*Y1 =1.44355439=r1 =6526.6241 x1 =-1.74369845+ 75.31951000-0.03516938+ 0.00001478Y3 =3.00814976r3 =-1.6247 x2 =3.04048430+ 1.79176400-0.00145632+ 0.00000090Y5 =6.26853068r5 =0.0008 x3 =-5.30168776+ 0.03516940-0.00004925+ 0.00000004l" = r =6525.0001"aux1aux2 x4 =9.24454475+ 0.00072820-0.000001510.00000000 0 ' ''=14845.000114348.75045.000 x5 =-16.11969838+ 0.00001490-0.000000040.000000000 =210000 x6 =28.10789313+ 0.000003000.000000000.00000000 0 = 0 + l0 =224845.0001143Si =+4521.21799707-0.54010984+0.00012238rezultate care se ncadreaz n tolerana cerut de :calc.-dat=0.0001143T =0.0001"0Punctul4Precizia de calcul obinut cu aceste formule pentru procedeul cu coeficieni constani este comparabil cu cea obinut cu formulele cu coeficieni variabili. Astfel aceste formule asigur precizia de 1 mm pentru punctele situate n apropierea paralelului de latitudine 0 i a meridianului 0 i un centimetru pentru punctele cele mai ndeprtate.Calculul (transformarea) coordonatelor geografice ( si ) n coordonatele rectangulare plane Gauss (x si y) pe elipsoidul Krasovski 1940. =442230.0000=44.375000Punctul:4 =224845.0000 =460000Trapezul:L-34-130-D-c-1 - Mehedini0 =210000 =(-0)=-22230.0000=-1.625000 = ( - 0)=14845.0000 " =-5850.0000" " =6525.0000"f = " *10-4 =-0.58500000l = " * 10-4 =0.65250000 x =123456r [m]f0 =1.000000000.00000+ 3752.14570+ 1.40331*l0 =1.00000000=r0 =-180598.19413615f1 =-0.58500000+ 308758.95802-12.09428-0.22026l2 =0.42575625r2 =1597.94066105f2 =0.34222500+ 75.36064-17.64146-0.00525l4 =0.18126838r4 =0.27735788f3 =-0.20020163-0.06459+ 0.01607+ 0.00135f4 =0.11711795-0.05909+ 0.013960.00000 x = r = [r]-178999.9761mx0 =5096175.7470mx ( xintermediar )= x0 + x =4917175.7709mS 0,2,4 =-180598.19413615+ 3753.18192288+ 1.53009515 y =123456r [m]f0 =1.00000000+ 215179.42083-2.80957-0.03070*l1 =0.65250000=r1 =144457.38086361f1 =-0.58500000-10767.83826-8.05441-0.00004l3 =0.27780595r3 =0.56797503f2 =0.34222500-254.69196+ 0.42862+ 0.00069l5 =0.11827762r5 =-0.00360043f3 =-0.20020163+ 4.13843+ 0.021700.00000y = r = [r]144457.9452mf4 =0.11711795+ 0.05360-0.000830.00000y0 =500000.0000my' ( yintermediar )= y0 + y =644457.9452mS 1,3,5 =+ 221390.622013202.04450275-0.03044046Precizia de calcul obinut cu aceste formule pentru procedeul cu coeficieni constani este comparabil cu cea obinut cu formulele cu coeficieni variabili. Astfel aceste formule, folosind tabelele Tarczy-Hornoch - V. K. Hristov, asigur o precizi aproximativ de 0.0001" pentru calculul coordonatelor geografice i sau B i L.Calculul (transformarea) coordonatelor rectangulare plane Gauss (x si y) n funcie de coordonatele geografice ( si ) pe elipsoidul Krasovski 1940.x =4917175.7709Punctul:4y =144457.9452x0 =5096175.7470Trapezul:L-34-130-D-c-1 - MehediniY = y*10-5 =1.444579452 x = (x-x0)*10-5 =-1.7899997612 " =123456r ["] x0 =1.000000000.0000000-26.2457302+ 0.0043872*Y0 =1.00000000=r0 =-5798.2226 x1 =-1.78999976+ 3238.7724270-0.8191913+ 0.0002442Y2 =2.08680979r2 =-51.7947 x2 =3.20409914-0.2560280-0.0131746+ 0.0000090Y4 =4.35477512r4 =0.0173 x3 =-5.73533670+ 0.0001115-0.0002819+ 0.0000003 " = r = [r]-5850.0000"aux1aux2 x4 =10.26625133+ 0.0000208-0.00000570.0000000 0 ' ''=-22230.000001022.50030.000 x5 =-18.376587430.0000000-0.00000010.00000000 =460000Si =-+5798.22263587-24.820030580.00397720 = 0 + 0 =442230.0000010rezultate care se ncadreaz n tolerana cerut de :calc.-dat=0.0000010T =0.0001"deci transformarea este bun.l" =123456r ["] x0 =1.00000000+ 4647.28456100-0.59725451+ 0.00014563*Y1 =1.44457945=r1 =6526.6233 x1 =-1.78999976+ 75.31951000-0.03516938+ 0.00001478Y3 =3.01456255r3 =-1.6239 x2 =3.20409914+ 1.79176400-0.00145632+ 0.00000090Y5 =6.29081865r5 =0.0008 x3 =-5.73533670+ 0.03516940-0.00004925+ 0.00000004l" = r =6525.0001"aux1aux2 x4 =10.26625133+ 0.00072820-0.000001510.00000000 0 ' ''=14845.000133048.75045.000 x5 =-18.37658743+ 0.00001490-0.000000040.000000000 =210000 x6 =32.89408711+ 0.000003000.000000000.00000000 0 = 0 + l0 =224845.0001330Si =+4518.00923799-0.53869982+0.00012183rezultate care se ncadreaz n tolerana cerut de :calc.-dat=0.0001330T =0.0001"0

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Sheet3