ESPOON MUUNNOKSET N60 N2000 ja VVJ ETRS-GK25 1. KORKEUSMUUNNOS Espoon N60 N2000 muunnoksena käytetään vakiosiirtokorjauksena +247 mm. 2. TASOKOORDINAATIT Taulukoissa esitetään Espoon viralliset muunnoskaavat Espoon vvj-koordinaattien muuntamiseksi GK-koordinaatistoon ja päinvastoin. Muunnoskaavat esitetään priorisointijärjestyksessä. Kaikki esitetyt muunnokset ovat 2D-muunnoksia. Muunnostarkkuudella tarkoitetaan muunnoksen tarkkuutta suhteessa valittuihin Ensisijaisiin muunnoksiin. Tarkkuutta vaativissa aineistomuunnoksissa on käytettävä Ensisijaisia muunnosparametrejä. Muunnoksissa Manner-Espoon GK24-muunnos & Saaristo-Espoon GK24-muunnos, Koko Espoon GK24-muunnos ja Espoon GK24 -Helmert-muunnos on lisäksi tehtävä kaistanvaihdos GK24 GK25/GK25 GK24. Kaistanvaihto tehdään JHS 154:ssa kuvattujen kaavojen avulla. Muunnoksissa Espoon suora GK25 affiininen-muunnos ja Espoon suora GK25 - Helmert-muunnos kaistanvaihdosta GK24 GK25/GK25 GK24 ei tarvita, koska kohdekoordinaatistona on GK25/vvj. Ohessa on myös kuvattu muunnosalueiden sijoittuminen Espoossa ja muunnoksien laskennassa käytetyt vastinpisteet ja näiden koordinaatit. 3. MUUNNOSKAAVAT Affiininen muunnoskaava voidaan esittää muodossa: X = a + cx + dy Y = b + ex + fy Helmert muunnoskaava voidaan esittää muodossa: X = dx + x'kcos(t 0 ) - y'ksin(t 0 ) = a + cx' - dy' Y= dy + x'ksin(t 0 ) + y'kcos(t 0 ) = b + dx' + cy' missä x'=espoon vvj X, y'= Espoon vvj Y ja t 0= kiertokulma.
3.1 ENSISIJAISET MUUNNOKSET Manner-Espoon GK24-muunnos Muunnostyyppi affiininen Kohdekoordinaatisto ETRS-GK24 manner-espoo Muunnosprioriteetti 1. Muunnostarkkuus 0 Muunnossuunta Espoo vvj - ETRS-GK24 ETRS-GK24 - Espoo vvj a= 6599858.007479810200000-6599357.339470124800000 b= 24499824.978235636000000-24500007.152371712000000 c= 0.999998786628487 1.000001213048851 d= 0.000020762261526-0.000020762350721 e= -0.000014784506306 0.000014784599242 f= 0.999996546603269 1.000003452999462 Saaristo-Espoon GK24-muunnos Muunnostyyppi affiininen Kohdekoordinaatisto ETRS-GK24 saaristo-espoo Muunnosprioriteetti 1. Muunnostarkkuus 0 Muunnossuunta Espoo vvj - ETRS-GK24 ETRS-GK24 - Espoo vvj a= 6599858.041063323600000-6599374.231204385900000 b= 24499825.672277160000000-24499945.298007235000000 c= 0.999997381692330 1.000002617615893 d= 0.000020452677237-0.000020452624907 e= -0.000027034859209 0.000027034832388 f= 1.000002399469639 0.999997599969736
3.2 VAIHTOEHTOISET MUUNNOKSET Koko Espoon GK24-muunnos Muunnostyyppi affiininen Kohdekoordinaatisto ETRS-GK24 Espoo Muunnosprioriteetti 2. Muunnostarkkuus Pistekeskivirhe 9 mm, maksimipistevirhe 204 mm Muunnossuunta Espoo vvj - ETRS-GK24 ETRS-GK24 - Espoo vvj a= 6599858.007479810200000-6599357.339470124800000 b= 24499824.978235636000000-24500007.152371712000000 c= 0.999998786628487 1.000001213048851 d= 0.000020762261526-0.000020762350721 e= -0.000014784506306 0.000014784599242 f= 0.999996546603269 1.000003452999462 Espoon GK24 -Helmert-muunnos Muunnostyyppi Helmert Kohdekoordinaatisto ETRS-GK24 Espoo Muunnosprioriteetti 3. Muunnostarkkuus Pistekeskivirhe 29 mm, maksimipistevirhe 174 mm Muunnossuunta Espoo vvj - ETRS-GK24 ETRS-GK24 - Espoo vvj a= 0.999997561874 1.000002437859 b= -0.000016532122 0.000016532203 k= 0.999997562011 1.000002437995 kierto= -0.00105247014 0.00105247014 Painopisteet cx1= 79650,367 6679509,088 cy1= 39033,613 24538857,279 cx2= 6679509,088 79650,367 cy2= 24538857,280 39033,613 Siirrot dx= 6599858,270-6599469,323 dy= 24499825,080-24499993,915
Espoon suora GK25 affiininen-muunnos Muunnostyyppi affiininen Kohdekoordinaatisto ETRS-GK25 Espoo Muunnosprioriteetti 4. Muunnostarkkuus Pistekeskivirhe 56 mm, maksimipistevirhe 402 mm Muunnossuunta Espoo vvj - ETRS-GK25 ETRS-GK25 - Espoo vvj a= 6600290.731951121200000-6984567.291332551300000 b= 25443205.726901203000000-25340856.630584691000000 c= 0.999869662254702 0.999901362442810 d= -0.015128383929030 0.015128895315792 e= 0.015134113397130-0.015134625035056 f= 0.999867560105837 0.999903464563890 Espoon suora GK25 -Helmert-muunnos Muunnostyyppi Helmert Kohdekoordinaatisto ETRS-GK25 Espoo Muunnosprioriteetti 5. Muunnostarkkuus Pistekeskivirhe 60 mm, maksimipistevirhe 369 mm Muunnossuunta Espoo vvj - ETRS-GK25 ETRS-GK25 - Espoo vvj a= 0.999868367801 0.999902618695 b= 0.015132509405-0.015133027776 k= 0.999982872738 1.000017127555 kierto= 0.963418742349 399.036581257651 Painopisteet cx1= 79711,294 6679402,544 cy1= 38939,611 25483346,540 cx2= 6679402,544 79711,294 cy2= 25483346,540 38939,611 Siirrot dx= 6600291,044-6984680,991 dy= 25443205,799-25340845,744
4. MUUNNOSALUEET
5. TASOMUUNNOKSIEN VASTINPISTEET ETRS-GK24FIN ESPOO VVJ PNRO N E X Y B060 6690731.332 24528578.339 90872.833 28754.747 B090 6687728.356 24528223.999 87869.840 28400.415 B140 6682792.148 24528740.035 82933.630 28916.433 B217 6675432.852 24529245.460 75574.330 29421.730 D070 6689285.055 24530871.198 89426.487 31047.619 D110 6684903.240 24530129.088 85044.684 30305.457 D152 6681089.051 24530038.809 81230.513 30215.148 D155 6680871.105 24531799.722 81012.527 31976.059 D160 6679865.025 24529933.913 80006.493 30110.210 D173 6679425.244 24531426.447 79566.673 31602.772 D196 6677216.935 24530241.218 77358.387 30417.510 D218 6674992.184 24531157.791 75133.605 31334.098 F060 6690001.151 24533168.791 90142.560 33345.200 F080 6688442.027 24533612.535 88583.418 33788.962 F092 6686937.368 24532003.566 87078.786 32179.968 F126 6684686.201 24532977.940 84827.567 33154.338 F202 6676067.764 24532826.346 76209.155 33002.632 F221 6674784.235 24533289.137 74925.618 33465.408 F241 6672342.461 24532928.813 72483.861 33105.033 H041 6692548.717 24534611.241 92690.101 34787.708 H050 6691302.338 24534148.937 91443.767 34325.404 H060 6690600.996 24535675.210 90742.361 35851.658 H090 6686863.189 24534660.098 87004.553 34836.523 H134 6683356.883 24534729.445 83498.209 34905.859 H162 6680671.041 24533948.812 80812.441 34125.252 H173 6679411.322 24534754.671 79552.675 34931.030 H183 6678331.363 24534651.223 78472.709 34827.565 H195 6676966.657 24533884.499 77108.031 34060.806 H225 6674435.402 24535211.479 74576.710 35387.785 H246 6672641.339 24534292.785 72782.690 34469.028 J021 6694036.218 24536869.915 94177.565 37046.411 J041 6692050.526 24537142.324 92191.872 37318.789 J076 6689538.757 24536808.692 89680.104 36985.154 J121 6684758.318 24536273.372 84899.645 36449.788 J132 6683245.326 24537447.555 83386.642 37623.958 J150 6681323.949 24536867.143 81465.268 37043.525 J163 6679995.302 24536338.097 80136.626 36514.473 J171 6679182.708 24537096.145 79324.016 37272.506 J181 6678754.157 24535950.414 78895.483 36126.765
J191 6677410.352 24537178.834 77551.636 37355.160 J192 6676912.084 24535887.356 77053.396 36063.679 J215 6675730.692 24536647.155 75871.985 36823.468 J223 6674498.604 24537450.107 74639.835 37626.412 J241 6672539.007 24536263.220 72680.325 36439.432 J251 6671352.299 24537074.434 71493.609 37250.619 J269 6669970.882 24535890.075 70112.279 36066.219 J274 6668881.699 24536954.196 69023.050 37130.310 J290 6667677.140 24537519.733 67818.518 37695.803 J310 6665447.585 24537331.804 65588.962 37507.826 L032 6693189.712 24537919.989 93331.044 38096.474 L052 6691059.693 24538761.385 91201.000 38937.842 L071 6689684.775 24539289.683 89826.067 39466.129 L090 6687181.902 24538747.820 87323.245 38924.235 L100 6685960.752 24539090.558 86102.054 39266.981 L125 6684270.150 24538806.122 84411.450 38982.530 L130 6683724.840 24539388.625 83866.124 39565.015 L152 6681853.557 24539299.930 81994.845 39476.317 L162 6680132.841 24539659.775 80274.099 39836.138 L172 6679110.493 24539690.104 79251.695 39866.535 L204 6676234.263 24539324.300 76375.520 39500.603 L232 6673687.795 24538840.895 73829.041 39017.154 L241 6672114.070 24539140.266 72255.340 39316.472 L266 6670336.248 24538995.453 70477.493 39171.582 L302 6666822.701 24539700.151 66964.015 39876.189 N080 6688101.422 24540143.143 88242.650 40319.628 N081 6688332.176 24541191.150 88473.447 41367.584 N091 6687246.113 24540599.342 87387.399 40775.773 N102 6686096.343 24540471.512 86237.621 40647.938 N104 6686638.568 24541647.114 86779.838 41823.547 N134 6683479.252 24540649.818 83620.533 40826.222 N145 6682517.084 24540904.326 82658.364 41080.714 N149 6681876.561 24541719.675 82017.818 41896.061 N161 6680719.562 24541555.267 80860.807 41731.653 N181 6678240.724 24541134.693 78381.952 41311.045 N194 6676979.930 24541083.110 77121.136 41259.437 N221 6674578.634 24541573.335 74719.825 41749.603 N241 6672484.407 24540040.481 72625.627 40216.709 N243 6672517.950 24541352.256 72659.139 41528.490 N255 6671763.695 24540739.729 71904.910 40915.956 N264 6670550.632 24540836.233 70691.841 41012.439 N281 6668715.627 24540197.633 68856.933 40373.697 P016 6695130.278 24541916.973 95271.540 42093.460
P090 6687739.971 24542486.004 87881.216 42662.422 P122 6684818.198 24542354.581 84959.460 42530.976 P132 6683536.466 24542627.051 83677.734 42803.456 P141 6682638.590 24542983.590 82779.862 43159.976 P165 6680145.488 24542634.574 80286.715 42810.942 P171 6679528.132 24542038.478 79669.346 42214.831 P182 6678682.194 24543630.342 78823.375 43806.705 P193 6677588.371 24543129.618 77729.547 43305.949 P210 6675810.628 24543197.752 75951.785 43374.053 P233 6673399.539 24542438.446 73540.679 42614.700 P241 6672077.036 24543225.078 72218.180 43401.297 P272 6669123.215 24543458.454 69264.460 43634.590 P304 6666185.167 24543745.719 66326.388 43921.729 P35743 6661040.068 24542244.323 61181.248 42420.424 R151 6681287.651 24544239.595 81428.827 44416.026 R162 6680066.469 24545253.369 80207.568 45429.786 R164 6680446.829 24543878.036 80588.060 44054.430 R174 6679115.029 24544710.423 79256.184 44886.802 R191 6677296.381 24544184.135 77437.520 44360.510 R193 6677556.371 24544541.673 77697.508 44718.022 R203 6676738.816 24545003.785 76879.930 45180.115 R211 6675169.327 24544876.080 75310.439 45052.362 R220 6674061.091 24544660.080 74202.210 44836.350 R232 6673468.555 24543944.538 73609.682 44120.790 T142 6682554.669 24545905.249 82695.763 46081.734 T161 6680778.754 24546582.894 80919.797 46759.355 T171 6679324.198 24546308.362 79465.269 46484.744 T173 6678901.921 24546128.203 79043.014 46304.584 T174 6679353.723 24547244.341 79494.795 47420.740 T192 6677718.574 24546043.350 77859.673 46219.708 T232 6673011.570 24546529.317 73152.652 46705.615 T233 6673131.433 24545941.134 73272.519 46117.434 T276 6668895.818 24546445.225 69037.019 46621.294
6. TASOMUUNNOKSIEN VASTINPISTEET GK25-KOORDINAATISTOSSA B060 6690716.847 25473332.004 B090 6687719.591 25472932.175 B140 6682776.135 25473373.333 B217 6675410.040 25473767.217 D070 6689235.973 25475602.663 D110 6684865.929 25474794.216 D152 6681053.558 25474646.150 D155 6680808.958 25476403.550 D160 6679831.265 25474522.722 D173 6679368.925 25476008.416 D196 6677178.833 25474789.878 D218 6674940.465 25475672.650 F060 6689917.145 25477910.836 F080 6688351.484 25478330.887 F092 6686871.401 25476699.303 F126 6684605.738 25477639.437 F202 6675990.647 25477357.291 F221 6674700.267 25477800.589 F241 6672264.246 25477403.339 H041 6692442.522 25479391.742 H050 6691203.308 25478910.593 H060 6690478.910 25480426.040 H090 6686756.960 25479354.385 H134 6683250.040 25479370.580 H162 6680576.359 25478549.348 H173 6679304.587 25479336.022 H183 6678226.329 25479216.228 H195 6676873.406 25478428.929 H225 6674322.369 25479717.412 H246 6672542.437 25478771.669 J021 6693895.577 25481672.693 J041 6691906.007 25481914.950 J076 6689399.618 25481543.271 J121 6684627.900 25480935.553 J132 6683097.307 25482086.657 J150 6681184.970 25481477.206 J163 6679864.507 25480928.097 J171 6679040.532 25481673.739 J181 6678629.391 25480521.661 J191 6677267.150 25481729.571 J192 6676788.505 25480430.710 J215 6675595.756 25481172.522
J223 6674351.666 25481956.714 J241 6672410.287 25480740.308 J251 6671211.449 25481533.454 J269 6669848.134 25480328.335 J274 6668742.983 25481375.837 J290 6667530.019 25481923.073 J310 6665303.592 25481701.432 L032 6693033.252 25482709.792 L052 6690890.748 25483518.775 L071 6689507.999 25484026.156 L090 6687013.667 25483446.419 L100 6685787.482 25483770.602 L125 6684101.411 25483460.579 L130 6683547.344 25484034.743 L152 6681677.649 25483917.703 L162 6679951.706 25484251.431 L172 6678929.033 25484266.269 L204 6676058.719 25483856.949 L232 6673519.902 25483335.047 L241 6671941.849 25483610.552 L266 6670166.450 25483438.847 L302 6666642.697 25484090.280 N080 6687911.915 25484855.499 N081 6688126.750 25485906.865 N091 6687049.803 25485298.671 N102 6685902.122 25485153.429 N104 6686426.455 25486337.094 N134 6683282.676 25485292.048 N145 6682316.779 25485531.942 N149 6681663.986 25486337.476 N161 6680509.633 25486155.561 N181 6678037.497 25485697.492 N194 6676777.652 25485626.820 N221 6674369.252 25486080.616 N241 6672298.510 25484516.256 N243 6672312.190 25485828.366 N255 6671567.307 25485204.502 N264 6670352.944 25485282.630 N281 6668527.846 25484616.342 P016 6694912.935 25486735.686 P090 6687514.994 25487192.568 P122 6684595.607 25487016.874 P132 6683309.919 25487269.883 P141 6682406.761 25487612.768
P165 6679919.285 25487226.026 P171 6679311.042 25486620.658 P182 6678441.105 25488199.492 P193 6677355.015 25487682.269 P210 6675576.481 25487723.470 P233 6673177.216 25486927.757 P241 6671842.982 25487694.261 P272 6668886.029 25487882.896 P304 6665944.035 25488125.661 P35743 6660822.342 25486546.639 R151 6681036.976 25488848.132 R162 6679800.604 25489843.265 R164 6680201.747 25488473.884 R174 6678857.520 25489285.982 R191 6677047.093 25488732.219 R193 6677301.633 25489093.645 R203 6676477.191 25489543.312 R211 6674909.853 25489391.856 R220 6673805.040 25489159.106 R232 6673223.420 25488434.690 T142 6682278.581 25490532.754 T161 6680492.647 25491183.396 T171 6679042.454 25490886.867 T173 6678622.965 25490700.336 T174 6679057.796 25491823.161 T192 6677441.069 25490597.572 T232 6672727.364 25491012.192 T233 6672856.116 25490425.907 T276 6668613.461 25490865.813 7 SAARISTOPISTEET Saaristomuunnoksen määrittelyssä käytettiin seuraavia pisteitä; J310 L302 N281 P304 P272 T276