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1 start of Swedish national maps. Corps of military field measurement Triangulation network

2 Spheroid: Bessel 1841 Semimajor axis: : Semiminor axis: : Inverse flattening: : Projection Universal Transverse Mercator

3 Universal Transverse Mercator Cartesian grid

4 Universal Transverse Mercator Central meridian 2.5 gon V Stockholm observatory

5 Data for RT 90 Projection: : Transvers Mercator Parameters: False Easting: : m False Northing: : m Scale factor: : A point in RT90, 2.5gon V 0: -15 x = y = ( ) Northing Easting

6 Other central meridians for local maps

7 Vertilcal system h H N geoid topografi ellipsoid H = elevation above sea level, mean datum Z h h P Height above the ellipsoid latitud Y Geometric height X longitud Model of geoid-ellipsoid ellipsoid difference

8 Height measurements by Swedish national survey

9 Model of geoid-ellipsoid ellipsoid difference RN 92

10 New geodetic infrastructure New reference system Z ϕ x X λ Y y h H N geoid topografi ellipsoid New reference net

11 Todays SITUATION (national) Plane: RT 38, RT 90, RT R01-12 Height: RH 00, RH 70 3-D: SWEREF 99 Geoid heights: SWEN 01L

12 Todays SITUATION Local RT 38 RT R.. RT 90 Local horisontal and vertilcal coordinate systems Horisontal systems are sometimes connected to RT 90, RT 38 or a regional system but often with differences in scale or rotations. Vertical system are sometimes losely connected to RH 00 eller RH 70 but mostly just local.

13 New geodetic infrastructure Position in space 3D reference system Vertical system Map projection Height correction model Horisontal position Vertical position

14 Nya New geodetiska geodetic infrastrukture referenssystem A global 3D 3D-system; Läget i rummet Planläge A new map projection; SWEREF 99 A new vertical system; SWEREF 99 TM SWEN 05LR RH 2000 A new geoid system Höjdläge

15 A globaly adjusted system SWEREF 99 ellipsoid: GRS 80 semi-major major axis: : a= m flattening: : f= 1/298, Is definied by the 21 national fundamental points,, who are also part of the SWEPOS-net

16 PROJECT RIX 95 Condensation and GPS-adjustment of the national grid in plane connection of local grids gives connection between local systems and SWEREF 99 / RT 90

17 National map projection SWEREF 99 TM Central meridian: λ 0 = 15 O scale factor: : k 0 = y-addition: : m 500 km Not standard UTM, the whole of Sweden in one zon. Gives other coordinates and a new grid.

18 Zon 17º 15' Zone division Zon 14º 15' Zon 15º 45' Zon 18º 45' Zon 20º 15' Zon 21º 45' Zon 23º 15' 12 zones: Principal meridians: 12º 00' 13º 30' 15º 00' 16º 30' 18º 00' SWEREF 99 dd mm 14º 15' 15º 45' 17º 15' 18º 45' 20º 15' 21º 45' 23º 15' Zon 12º Zon 13º 30' Zon 15º Zon 16º 30' Zon 18º Zon 18º 45' scale factor : k 0 = 1 x-addition: y-addition: 0 m m

19 Connection between system ystem tomorrow Reference system Map projection SWEREF 99 TM Gauss conformal National SWEREF 99 SWEREF 99 dd mm Gauss conformal Local

20 New national vertical system based on Riksavvägningen Nordic Nordic cooperation Harmonised with Europe Starting level: Normaal Amsterdams Peil Epoch: 2000 RH 2000

21 Land elevation Land elevation* amount to nearly 1 cm/year * Combination of an empiric och a geofysic model

22 Land elevation means a spread of 2 mm/year

23 Comparision between RH 70 and RH2000 Comparision Corrected for land elevation and tide Number of points 4751 Min (m) -0,135 Max (m) 0,069 Mean (m) -0,014 Std.dev. (m) 0,031 RMS (m) 0,043

24 Model of the geoid-ellipsoid ellipsoid difference SWEN 05LR Adapting a gravimetric geoid-model Interpolation of remaining errors Grid model σ ~ mm

25 Model of the geoid-ellipsoid ellipsoid difference SWEN 05LR σ ~ mm

26 New geodetic infrastrukture New reference system New reference net 99 SWEREF 99 SWEREF 99 TM SWEREF 99 dd mm Model of the difference in height RH 2000 Passive net RIX 95-punkter Riksavvägningen Active net SWEPOS

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