Recent Steps Towards the Introductionof new European Reference Systems in Austria

Dipl. Ing. Norbert Höggerl

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Contents

• Introduction

• European Terrestrial Reference System ETRS89 • Transformation between the existing MGI and the new 3D-System

• European Vertical Reference System EVRS• Austrian Geoid 2008 • Transformation between the existing MGI and the new Height System

• The legal Base for the new Reference Systems

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AGREF/AREF/TIREFEpoch Measurements

APOS – Permanent StationsAMON

International accepted SolutionETRS89 Austria 2002

ETRS89European Terrestrial Reference System

(EUREF, EPN)

ITRSInternational Terrestrial Reference

System (IGS, IERS..)

1.- 5. Orders +6.O (ca.20.000)GPS-Vectors

terr. MeasurementsNetwork Adjustment

6. Order (ca.100.000)REVUE

APOS-RTK

Remaining 6. O.PointsPolygon Points

Boundary Pointsby: Interpolation

Hierarchic Schema for the Introduction of ETRS89 in AustriaAPOS: Austrian Positioning ServiceAMON: Austrian Monitoring NetworkAGREF: Austrian Geodynamic

Reference NetworkAREF: Austrian Reference NetworkTIREF: Tyrolean Reference NetworkREVUE: Revision and remeasurement

of 6th order control points

TP: 1st-5th orders: 57.000EP: 6th order: 270.000Boundary points: 12.000.000

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11 Stations

IGS

Accepted Solution by the EUREF Symposium 2003 in Toledo

ETRS89 Autria 2002, ETRF2000 Epoch 2002.45

International Accepted Solution ETRS89 Austria 2002

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SWIPOSSTPOS

SIGNAL

GNSSnet.hu

SKPOS

CZEPOSCZEPOS

SAPOS

Service No of StationsAPOS/BEV 31OLG 3KELAG 8SAPOS 10SWIPOS 4 Σ = 73SIGNAL 5 used inSKPOS 2 APOSSTPOS 3GNNSnet.hu 3CZPOS 4

APOS – Austrian Positioning Service

APOS-Trafo GRID by RTCM 3.1:mPos < 0,15 m, mHight < 0,15 m (3σ)

(for the RTK solution)

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AGREF/AREF/TIREF – GPS Epoch Measurements

GPS Permanent Station APOSAMST

DIEN

DLBG

DOER

FLDB

FLDK

FRST

GMND

KOPS

KRBGLECH

MUEN

POEL

RIED

ROHR

STPO

TAMS

VLKM

WELS

WIND

KTZB

PATK

BLEIKLAGLANK

LEON

LIES

SONN

TREISILL

OBWT

MSTB

HORN

GPS - Basic Network AGREF/AREF

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Vector Measurements (static) from 1989 - 2009

• 121.897 Vectors

28.427 TP (50% 1st to 5th orders)8.337 EP ( 4% 6th order)

• 36.764 control points

(3.3 / Punkt)

+30.000 EP phot. 2000-2007 (13% of the EP)

1st – 6th Orders Static Vector Measurements

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Terr. Measurements from 1910 - 1997• 65.431 control points

• 912.371 directions -> 13.9 / point

• 82.412 distances -> 1.3 / point

• 517.091 vertical angles-> 7.9 / point

1st – 6th Orders Terrestrial Measurements

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NTv2 ( National Transformation version 2 - Canada )

MGI

ETRS89

KAT1 3“x5“ KAT2 10“x15“

PARENT

SUB

Base-GRID + some SUB-GRIDsSUB-GRID is prior to base-GRID

used f. e. in ArcGISϕ,λ MGI

ETRS89

GK(y,x)

UTM (y‘,x‘) ϕ‘,λ‘

mathematically precise

NTv2 - transitionGIS-GRID 30“x45“

MGI: Militär Geographisches Institut, ViennaGK: Gauß-Krüger Coordinate System

GIS grid available as download from the BEV portalfree of charge

MGI<->ETRS89 Transformation by use of GRID Models

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GRID: ellipsoidal Coordinate System ϕ, λ,GRID Distance: 30“x45“ ( ≈ 1x1 km )

2 Products: GIS GRID NTv2 (only horizontal position) GIS GRID APOS (3-D)

GRID values dϕ, dλ, (dh) depending on the product

Base: 28.120 control points

49°03’00“ 9°30’00“

46°21’00“ 17°09’45“

30 arcsec

45 arcsec

GIS – GRIDAccuracy < 0.15 m(3 σ )

MGI<->ETRS89 Transformation by use of a GRID Model

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Base: Precise levelling Network~30.000 points with C-valuesrefering to UELN 95/98

Precise Levelling Network of Austria

C-Values: Basic information to deriveHorth: orthom. heightsHnorm: normal heights

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BKG Formula for Height Transformation

BKG: Bundesamt für Kartographie und Geodäsie/GermanyBKG Formula for transformation of national heights into EVRS2000Source: http://www.crs-geo.eu/nn_124226/crseu/EN/CRS__Description/crs-national__node.html?__nnn=true

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5 10 cm-10 -5

-10 -8 -6 -4 -2 0 2 4 6 8 10Differenz in cm

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

11000

12000

Pun

ktan

zahl

192

2584

5263

6736

8371

1214

0

6370

1124

29

0

200

400

600

800

1000

1200

1400

1600

1800

2000

2200

2400

2600

Höhen [m]

0

1000

2000

3000

4000

5000

6000

7000

8000

9000

10000

11000

12000

Pun

ktan

zahl

3952

1053

6 1178

3

7206

4378

2471

1279

558

365

174

64 22 21

Transformation of National Heights into Normal Heights of EVRS Differences d C/gn minus Height from BKG-formula

National heights: Normal orthometric heightsPrecise Normal heights: hn

A=CUELN/gnTransformed Normal Heights by use of BKG formula hn

BKG

30.000 d-values availabled= hnA –hn

BKG md = ± 3cm

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47

48

49

Gra

d Br

eite

10 11 12 13 14 15 16 17Grad Länge

sterreichisches SchweregrundnetzAbsolutstationenPunkte 1. OrdnungPunkte 2. OrdnungPunkte 3. Ordnung

SGNAustrian Gravity Base-Network

a. 40

a. 700

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Database for gravity:

54.400 g-values: 1 point/1,5 km2

50% of levelling points with g-values

Database for gravity:

54.400 g-values: 1 point/1,5 km2

50% of levelling points with g-values

Interpolation results:

1 rms< ± 0,2 mgal for reproduction of the basic points

1 rms< ± 1,0 mgal for interpolatedpoints

Interpolation results:

1 rms< ± 0,2 mgal for reproduction of the basic points

1 rms< ± 1,0 mgal for interpolatedpoints

Austrian Gravity Network

The Austrian Geoid 2008

• Global Gravity model: GRACE EIGEN-GL04S• Terrestrial data:• DHM: BEV, Swisstopo, SRTM: 1.4“x2.3“• Gravity-values: grid 4x4 km -> 14.001 points• Deflection of Vertical: 672• Collocation points: GPS/levelling -> 161 points • Comparison with European Quasi-Geoidsolution

Gravity values

DHM: 1.4“x2.3“Differences: European -- Austrian Quasigeoid

Deviations of GPS/LevellingStations from Geoid

The Austrian Geoid 2008

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Legal Foundations (1)

Survey-Act („Vermessungsgesetz“ 1969):

• Definition of reference system for control points andcadastre (MGI/Gauß-Krüger coordinates)

• Connection between cadastral measurements and the nearest controlpoints is binding (independent of measuring technique)

• GK-coordinates are legally fixed (Grenzkataster) – holds true for about 10% of all parcels in Austria

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Legal Foundations (2)

2004: Proclamation of ETRS89 as the official 3-D Coordinate Systemprovided by APOS (Austrian Positioning Service)

2008: Amendment to the legal Act:

• APOS (Austrian Positioning Service) defined as an instrument to realize ETRS89 in Austria

2010: By-law to the legal act (Vermessungsverordnung):

• Use of APOS in combination with ETRS89 coordinatesUse of another positioning service forces the user to include control points in the field to get the transformation parameters

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