Von Koordinaten und Systemen
DI Philipp Mitterschiffthaler
Die Erde
Die Erde aus der Sicht des Geodäten...
3D - Koordinatensystem
- Koordinatensystem rotiert mit der Erde
- Koordinatenursprung liegt im Erdschwerpunkt
- Z-Achse parallel zur Rotationsachse
- X-Achse zeigt Richtung Greenwich
- Y-Achse Normale auf X- und Z-Achse
über mich
2011 - Geomatics Science an der TU Graz - Institut für Ingenieurgeodäsie
2012 - 2018: BEV Abteilung Grundlagen Referat Referenzsysteme
2016: Mitarbeit im GGOS CO
seit 2018: Applikationsbetreuer in der IT-Abteilung
Projekte:
Kinematischer Höhenausgleich
ACDC
Transformator
ITRF
ITRF
ITRF
ITRF
696
188
ITRF horizontal velocities
ITRF vertical velocities
GGOS
http://www.unoosa.org/pdf/icg/2012/icg-7/30.pdf - Chris Rizos - 2012
XE(tc)=XyyI(tc)+Tyy+0R3yy−R2yy−R3yy0R1yyR2yy−R1yy0×XyyI(tc)∗(tc−1989.0)
X^E(t_c)= X_{yy}^I(t_c) + T_{yy} + \begin{pmatrix} 0 & -R3_{yy} & R2_{yy} \\ R3_{yy} & 0 & -R1_{yy} \\ -R2_{yy} & R1_{yy} & 0 \end{pmatrix} \times X_{yy}^I(t_c) * (t_c -1989.0)
Definition einer Koordinate
Definition einer Koordinate
λ=atan(Y/X)
\lambda = atan(Y/X)
ϕ=atan(p−e2acos3(θ)Z+e′2bsin3(θ))
\phi=atan(\frac{Z+e'^2 b sin^3(\theta)}{p-e^2 a cos^3(\theta)})
h=cosϕp−N
h = \frac{p}{\cos{\phi}}-N
Definition einer Koordinate
y=NΔLcos(B)+6NΔL3cos3(B)(1−t2+η2)+...
y = N \Delta L cos(B) + \frac{N}{6} \Delta L^3 cos^3(B)(1-t^2+\eta^2)+...
x=Sm2NΔL2sin(B)cos(B)+24NΔL4sin(B)cos3(B)(5−t2+9η2+4η4)+...
x = S_m \frac{N}{2} \Delta L^2 sin(B) cos(B) + \frac{N}{24} \Delta L^4 sin(B) cos^3(B)(5-t^2+9\eta^2+4\eta^4)+...
{
"features": {
"type": "FeatureCollection",
"name": "MyCoordinates_1",
"features": [
{},
{},
{},
],
"crs": {
"type": "BEV",
"name": "MyCRS",
"properties": {
"frame": 301,
"ellipsoid": "EPSG::7004",
"prime_meridian": "EPSG::8901",
"projection": "",
"height_system": "",
"epoch": 2002.56,
}
}
}Definition einer Koordinate - GeoJSON im BEV Transformator
Transformationsmöglichkeiten zwischen Frames
Beispiel Koordinatentransformation - GRAZ00AUT
Beispiel Koordinatentransformation - GRAZ00AUT
Beispiel Koordinatentransformation - GRAZ00AUT
Beispiel Koordinatentransformation - GRAZ00AUT
Δx=762.322m
\Delta \vec{x} = 762.322m
Beispiel Koordinatentransformation - GRAZ00AUT
Δx=37.0cm
\Delta \vec{x} = 37.0cm
Beispiel Koordinatentransformation - GRAZ00AUT
Δx=0.8cm
\Delta \vec{x} = 0.8cm
Beispiel Koordinatentransformation - GRAZ00AUT
Δx=3.2cm
\Delta \vec{x} = 3.2cm
Beispiel Koordinatentransformation - GRAZ00AUT
Δx=35.7cm
\Delta \vec{x} = 35.7cm
Beispiel Koordinatentransformation - GRAZ00AUT
Beispiel Koordinatentransformation - GRAZ00AUT
EUREF Permanent Network (EPN)
327 Stationen
71 inaktive Stationen
IGS Stations in Europa
96 IGS stations
EPN stations mit GALILEO
200 stations mit GALILEO
EPN stations horizontal velocities in ITRF2014
EPN stations horizontal velocities in ETRF2014
EPN stations vertical velocities in ITRF2014
EPN stations vertical velocities in ETRF2014
BEV DC
BEV DC
- 60.000 Files
- 10 GB Daten
- pro Tag!
- 4 Mio daily files
- 42 Mio hourly files
- 2,8 TB komprimierte Daten
- Daten seit 1995
BEV AC - subnetwork
BEV AC
Guidelines
- IGS final orbits
- Datumspunkte von IGS stations
- Berechnung im ITRF2014
- Basislinienauswertung (Double Differences)
- Jede Station von mindestens 3 ACs
- GPS + GLONASS
Empfehlungen
- globaler Ansatz
- komplettes EPN-Netz
- Multi-GNSS
- UltraRapid, Rapid, Final Solutions
BEV AC
No 2383: EUREF AC Report GPS week 2031
EPN LAC Mail [eurefac@epncb.oma.be]
Gesendet: Dienstag, 22. Jänner 2019 15:11
An: Mitterschiffthaler Philipp
******************************************************************************
EPN LAC Electronic Mail 22-Jan-2019 14:10:05 UTC Message Number 2383
******************************************************************************
Author: T. Liwosz
Subject: EUREF AC Report GPS week 2031
==================================================================================
EUREF Analysis Centres Report for GPS week 2031 (Dates: 09-12-2018 to 15-12-2018)
==================================================================================
Report to the EPN Analysis Centres (AC) of daily GNSS solutions.
Contents of the report
======================
1. Daily AC solutions are iteratively combined. Each AC solution is compared
with the combined solution using a 7-parameter Helmert transformation.
In this section the comparisons between individual AC solutions and the final
combined solution are presented.
2. In this section are listed all station position outliers that were eliminated
from individual AC solutions before the final combination.
3. Daily AC solutions provided in SINEX format are checked for consistency
of metadata with station log files and IGS/EPN antenna calibration values.
In this section all inconsistencies found in AC SINEX files are listed.
More information on combinations can be found at:
1. Summary report on the weekly combination available from the EPN data centres
(e.g., ftp://igs.bkg.bund.de/EUREF/products/2031/eur20317.sum.Z)
2. Summary reports on the daily combinations (including residuals between AC
solutions and a combined daily solution) available from the EPN data centres
(e.g., ftp://igs.bkg.bund.de/EUREF/products/2031/eur2031[0-6].sum.Z)
3. EPN ACC website: www.epnacc.wat.edu.pl
Software used for the combination: Bernese GNSS Software 5.2.
Contributing solutions
======================
Solutions from the following 16 EPN Analysis Centres were used in the combination:
ASI, BEK, BEV, BKG, COE, IGE, IGN, LPT, MUT, NKG, RGA, ROB, SGO, SUT, UPA, WUT.
1. COMPARISON OF INDIVIDUAL AC SOLUTIONS WRT. THE COMBINATION
=============================================================
Each AC solution is compared with the combined solution using
a 7-parameter Helmert transformation.
Table 1.1: Unweighted RMSs of the station position residuals after Helmert
transformation between each AC solution and the final combined
solution computed for north, east, and vertical components
RMS (mm)
Day 0 Sol. #sites #IGS14 N E U
------------------------------------------------------------
ASI 59 1 1.4 1.3 4.7
BEK 94 10 0.7 0.5 1.1
BEV 98 10 0.8 0.8 2.8
BKG 118 15 0.4 0.4 1.8
COE 40 15 0.3 0.3 1.2
IGE 84 8 0.3 0.3 0.9
IGN 53 7 0.9 0.8 4.2
LPT 57 4 0.3 0.3 1.2
MUT 132 20 1.3 1.1 3.7
NKG 97 12 0.3 0.3 1.1
RGA 49 5 0.2 0.2 1.0
ROB 97 4 0.3 0.3 1.1
SGO 37 6 0.3 0.3 1.1
SUT 51 6 0.6 0.6 2.0
UPA 58 1 0.2 0.3 0.9
WUT 121 14 0.3 0.3 0.9
------------------------------------------------------------
RMS (mm)
Day 1 Sol. #sites #IGS14 N E U
------------------------------------------------------------
ASI 58 2 1.3 1.4 5.0
BEK 91 8 0.3 0.4 1.3
BEV 99 9 1.4 1.4 3.5
BKG 118 14 0.4 0.4 1.9
COE 40 15 0.3 0.4 1.4
IGE 86 9 0.3 0.4 1.3
IGN 51 7 0.9 1.0 4.1
LPT 58 4 0.3 0.3 1.1
MUT 135 20 1.1 1.1 3.7
NKG 96 12 0.4 0.3 1.1
RGA 45 4 0.3 0.2 1.1
ROB 97 4 0.3 0.2 1.1
SGO 38 5 0.3 0.3 1.4
SUT 52 6 0.3 0.3 1.5
UPA 58 1 0.3 0.3 1.4
WUT 119 14 0.3 0.3 1.0
------------------------------------------------------------
RMS (mm)
Day 2 Sol. #sites #IGS14 N E U
------------------------------------------------------------
ASI 62 1 1.2 1.1 3.9
BEK 97 9 0.3 0.4 1.1
BEV 97 9 0.7 0.6 2.9
BKG 116 14 0.3 0.3 1.6
COE 41 17 0.3 0.3 1.2
IGE 86 8 0.2 0.2 0.7
IGN 51 6 0.9 0.6 4.7
LPT 56 2 0.3 0.3 1.2
MUT 136 22 1.1 1.1 3.9
NKG 95 13 0.3 0.2 1.0
RGA 49 4 0.3 0.2 0.9
ROB 95 4 0.2 0.2 1.0
SGO 36 5 0.3 0.3 1.0
SUT 52 6 0.3 0.3 1.8
UPA 58 1 0.3 0.3 1.1
WUT 120 15 0.3 0.2 1.0
------------------------------------------------------------
RMS (mm)
Day 3 Sol. #sites #IGS14 N E U
------------------------------------------------------------
ASI 62 1 1.4 1.0 4.1
BEK 97 10 0.3 0.3 1.2
BEV 100 10 0.8 0.6 2.6
BKG 117 15 0.5 0.4 1.7
COE 41 16 0.3 0.3 1.3
IGE 86 8 0.3 0.2 1.2
IGN 52 6 0.9 0.9 5.1
LPT 58 4 0.2 0.2 1.1
MUT 137 20 1.1 0.9 3.5
NKG 97 12 0.3 0.2 1.2
RGA 51 5 0.3 0.3 1.1
ROB 97 4 0.2 0.2 0.9
SGO 37 6 0.3 0.3 1.0
SUT 52 6 0.3 0.3 1.7
UPA 59 1 0.4 0.4 1.2
WUT 121 14 0.3 0.3 1.0
------------------------------------------------------------
RMS (mm)
Day 4 Sol. #sites #IGS14 N E U
------------------------------------------------------------
ASI 62 2 1.1 1.0 4.2
BEK 95 11 0.3 0.3 1.1
BEV 101 11 0.8 0.6 2.4
BKG 111 14 0.5 0.3 1.5
COE 41 17 0.3 0.5 1.2
IGE 84 9 0.2 0.4 1.1
IGN 52 7 0.7 0.6 4.0
LPT 56 4 0.3 0.3 1.4
MUT 138 22 1.2 1.1 3.6
NKG 94 13 0.3 0.3 0.9
RGA 51 5 0.3 0.3 1.1
ROB 85 4 0.2 0.2 1.0
SGO 36 6 0.3 0.3 1.1
SUT 46 6 0.4 0.4 1.8
UPA 59 1 0.3 0.4 1.0
WUT 120 15 0.3 0.3 1.0
------------------------------------------------------------
RMS (mm)
Day 5 Sol. #sites #IGS14 N E U
------------------------------------------------------------
ASI 61 2 1.7 1.2 4.2
BEK 96 10 0.6 0.4 1.2
BEV 100 10 0.7 0.5 2.5
BKG 113 15 0.3 0.3 1.6
COE 41 17 0.5 0.5 1.5
IGE 75 8 0.3 0.3 1.2
IGN 53 7 0.8 0.7 4.7
LPT 56 4 0.2 0.3 1.3
MUT 138 22 1.2 1.0 3.5
NKG 95 13 0.3 0.3 1.1
RGA 50 4 0.2 0.4 1.6
ROB 97 4 0.2 0.2 0.8
SGO 36 5 0.2 0.2 1.4
SUT 47 6 0.4 0.4 2.0
UPA 54 1 0.3 0.3 1.2
WUT 120 15 0.3 0.3 1.0
------------------------------------------------------------
RMS (mm)
Day 6 Sol. #sites #IGS14 N E U
------------------------------------------------------------
ASI 58 2 1.5 1.0 4.1
BEK 97 10 0.3 0.4 1.3
BEV 99 9 0.8 0.6 2.1
BKG 111 16 0.4 0.4 1.6
COE 41 17 0.3 0.3 1.7
IGE 75 7 0.3 0.3 1.1
IGN 55 6 1.0 0.7 3.7
LPT 56 4 0.2 0.2 1.4
MUT 137 21 1.1 1.1 3.4
NKG 95 12 0.3 0.2 1.1
RGA 51 5 0.4 0.3 1.3
ROB 97 4 0.3 0.2 1.1
SGO 36 6 0.4 0.3 1.1
SUT 48 4 0.3 0.3 1.5
UPA 54 1 0.3 0.3 0.9
WUT 121 14 0.3 0.2 0.7
------------------------------------------------------------
Table 1.2 Helmert transformation parameters between each AC solution and
the final combined solution. Helmert parameters were determined
using all stations of the individual solutions
RMS Translation (mm) Rotation (mas) Scale
Day 0 Sol. (mm) X Y Z X Y Z (ppb)
---------------------------------------------------------------------------------
ASI 2.99 -2.4 8.3 2.2 -0.0 -0.2 0.1 -0.12
BEK 0.80 -2.5 -5.7 -1.1 0.2 -0.1 -0.1 0.30
BEV 1.73 -7.7 -0.3 5.1 0.0 -0.3 0.0 0.29
BKG 1.11 -3.3 5.0 -0.7 -0.1 -0.1 0.1 0.20
COE 0.72 -0.6 -0.7 -1.5 0.0 0.0 -0.0 0.09
IGE 0.59 -1.0 2.0 -8.1 -0.0 0.2 0.0 0.16
IGN 2.56 -2.6 5.7 7.5 -0.1 -0.3 0.1 -0.54
LPT 0.72 9.5 -4.1 -0.1 0.0 0.2 -0.1 -0.28
MUT 2.38 -0.4 2.1 1.9 -0.2 -0.1 -0.1 0.11
NKG 0.69 -2.8 -8.9 2.4 0.2 -0.1 -0.1 0.05
RGA 0.64 0.7 -1.6 -1.6 0.0 0.0 -0.0 -0.08
ROB 0.67 7.5 -8.5 -4.0 0.2 0.3 -0.1 -0.03
SGO 0.70 3.6 8.4 -2.4 -0.2 0.1 0.1 -0.03
SUT 1.29 -0.4 -7.2 3.1 0.1 -0.1 -0.1 -0.06
UPA 0.57 -2.1 2.2 -2.3 -0.0 -0.0 0.0 -0.04
WUT 0.56 -1.2 3.2 0.3 -0.1 -0.0 0.1 0.22
---------------------------------------------------------------------------------
RMS Translation (mm) Rotation (mas) Scale
Day 1 Sol. (mm) X Y Z X Y Z (ppb)
---------------------------------------------------------------------------------
ASI 3.10 -1.7 -6.1 -2.1 0.1 -0.1 -0.1 -0.05
BEK 0.82 4.3 0.7 -1.5 -0.0 0.1 0.0 -0.40
BEV 2.33 -23.3 5.7 1.1 -0.1 -0.6 0.3 1.86
BKG 1.16 -4.8 7.8 -3.3 -0.2 -0.0 0.1 0.25
COE 0.88 -1.5 1.6 3.4 -0.1 -0.1 0.1 -0.11
IGE 0.80 -0.0 -3.0 -7.9 0.1 0.2 -0.1 0.21
IGN 2.53 -13.7 -2.3 18.8 0.1 -0.8 -0.1 -0.60
LPT 0.69 7.9 -4.8 -5.3 0.1 0.3 -0.1 0.01
MUT 2.33 3.0 5.9 -0.7 -0.2 0.1 0.0 0.05
NKG 0.71 -5.7 -8.3 0.7 0.2 -0.2 -0.1 0.17
RGA 0.68 -0.1 -1.2 -2.2 0.0 0.0 -0.0 -0.04
ROB 0.65 7.1 -5.5 -8.6 0.1 0.3 -0.1 0.09
SGO 0.84 5.5 13.4 -4.7 -0.3 0.2 0.2 -0.15
SUT 0.94 2.1 -9.7 -1.0 0.2 0.0 -0.1 -0.01
UPA 0.85 1.3 2.5 -3.4 -0.0 0.1 -0.0 -0.04
WUT 0.60 0.3 0.5 0.1 0.0 0.0 0.0 0.05
---------------------------------------------------------------------------------
RMS Translation (mm) Rotation (mas) Scale
Day 2 Sol. (mm) X Y Z X Y Z (ppb)
---------------------------------------------------------------------------------
ASI 2.46 -8.6 -17.9 1.7 0.4 -0.3 -0.3 -0.03
BEK 0.68 6.5 0.8 -7.7 -0.0 0.3 0.0 -0.13
BEV 1.79 0.8 -7.3 -2.8 0.1 0.0 -0.2 0.27
BKG 0.98 -2.1 4.5 -0.5 -0.1 -0.1 0.0 0.13
COE 0.77 -0.7 0.6 2.0 -0.0 -0.0 0.0 0.01
IGE 0.46 2.5 0.7 -3.4 0.0 0.1 0.0 0.05
IGN 2.84 0.2 16.2 8.8 -0.4 -0.3 0.3 -0.47
LPT 0.76 5.3 -0.7 -1.8 0.0 0.2 -0.0 -0.15
MUT 2.45 5.5 -3.4 -0.8 -0.0 0.2 -0.2 0.03
NKG 0.61 -6.3 -8.8 0.2 0.2 -0.2 -0.1 0.22
RGA 0.59 -0.9 0.1 -6.6 -0.0 0.1 0.0 0.07
ROB 0.61 -1.0 -5.2 -2.0 0.1 0.0 -0.1 0.08
SGO 0.65 3.0 11.1 -5.7 -0.3 0.2 0.1 -0.06
SUT 1.07 -1.9 -7.2 -3.2 0.1 -0.0 -0.1 0.28
UPA 0.69 4.3 3.1 -7.5 -0.0 0.2 -0.0 -0.16
WUT 0.61 -2.4 2.8 -0.8 -0.1 -0.0 0.1 0.15
---------------------------------------------------------------------------------
RMS Translation (mm) Rotation (mas) Scale
Day 3 Sol. (mm) X Y Z X Y Z (ppb)
---------------------------------------------------------------------------------
ASI 2.58 -3.9 -17.2 12.0 0.5 -0.3 -0.3 -0.31
BEK 0.72 3.4 5.8 -0.8 -0.1 0.1 0.2 -0.20
BEV 1.61 1.2 -10.1 -2.5 0.2 0.1 -0.2 0.16
BKG 1.04 -4.7 9.9 0.0 -0.2 -0.1 0.2 0.14
COE 0.81 1.5 2.3 2.9 -0.1 -0.0 0.0 -0.22
IGE 0.75 0.2 -3.7 -1.2 0.1 0.1 -0.1 0.14
IGN 3.09 0.9 11.9 11.4 -0.3 -0.3 0.2 -0.76
LPT 0.69 6.9 -7.2 -2.2 0.2 0.2 -0.2 -0.14
MUT 2.22 7.1 -1.0 -2.4 -0.1 0.2 -0.1 -0.12
NKG 0.71 -5.8 -8.1 -1.2 0.2 -0.2 -0.1 0.21
RGA 0.70 2.0 5.8 -7.9 -0.2 0.2 0.1 0.08
ROB 0.57 1.9 1.1 1.9 0.0 0.0 0.0 -0.07
SGO 0.60 0.0 8.8 -9.9 -0.3 0.2 0.1 0.19
SUT 1.05 -1.8 -2.8 0.0 0.0 -0.1 -0.0 0.11
UPA 0.77 4.7 3.4 -0.4 -0.0 0.1 0.0 -0.41
WUT 0.65 -2.3 -1.6 -5.0 0.0 0.0 -0.0 0.42
---------------------------------------------------------------------------------
RMS Translation (mm) Rotation (mas) Scale
Day 4 Sol. (mm) X Y Z X Y Z (ppb)
---------------------------------------------------------------------------------
ASI 2.60 8.2 -11.2 4.2 0.3 0.2 -0.3 -0.10
BEK 0.71 8.1 3.3 1.1 -0.1 0.2 0.0 -0.49
BEV 1.51 -6.1 2.1 -0.9 -0.1 -0.1 0.1 -0.08
BKG 0.95 -5.7 5.2 -3.3 -0.2 -0.1 0.1 0.19
COE 0.78 1.8 -0.5 1.7 0.0 0.0 -0.0 -0.22
IGE 0.70 5.0 -1.2 0.7 0.0 0.1 -0.0 -0.11
IGN 2.41 -1.4 2.2 12.2 -0.0 -0.3 -0.0 -0.45
LPT 0.83 10.2 -3.9 -1.7 0.1 0.3 -0.1 -0.26
MUT 2.27 10.9 -7.2 -8.0 0.1 0.4 -0.2 0.22
NKG 0.55 -7.3 -6.8 -0.8 0.2 -0.2 -0.1 0.23
RGA 0.70 -2.1 6.2 -5.8 -0.2 0.1 0.1 0.20
ROB 0.59 3.7 1.2 -0.7 -0.0 0.1 0.0 -0.03
SGO 0.69 -0.2 11.6 -10.9 -0.3 0.2 0.2 0.25
SUT 1.08 -2.9 -8.1 0.2 0.2 -0.1 -0.1 0.14
UPA 0.67 1.8 7.4 3.0 -0.0 -0.1 0.0 -0.55
WUT 0.62 -5.1 -1.0 -3.8 0.0 -0.1 0.0 0.30
---------------------------------------------------------------------------------
RMS Translation (mm) Rotation (mas) Scale
Day 5 Sol. (mm) X Y Z X Y Z (ppb)
---------------------------------------------------------------------------------
ASI 2.73 6.3 4.2 15.0 0.1 -0.2 0.1 -0.99
BEK 0.78 4.6 8.7 7.4 -0.1 -0.1 0.3 -0.76
BEV 1.55 -6.7 -6.7 4.7 0.2 -0.3 -0.1 -0.20
BKG 0.97 -4.1 1.2 -1.6 -0.0 -0.1 0.0 0.17
COE 0.99 2.7 0.2 2.3 0.0 0.0 -0.0 -0.21
IGE 0.71 5.6 6.1 3.9 -0.1 0.1 0.1 -0.26
IGN 2.81 5.7 6.5 10.7 -0.1 -0.2 0.1 -0.93
LPT 0.80 6.1 0.2 1.4 0.0 0.1 -0.0 -0.31
MUT 2.25 7.4 -3.3 -7.7 0.0 0.3 -0.1 0.14
NKG 0.66 -5.8 -8.2 -0.6 0.2 -0.2 -0.1 0.30
RGA 0.99 1.3 0.9 -4.6 -0.1 0.2 0.0 -0.02
ROB 0.49 3.5 -1.4 -2.3 0.1 0.1 -0.0 -0.02
SGO 0.84 4.4 3.9 -12.8 -0.2 0.3 0.0 0.38
SUT 1.19 0.0 -6.9 -2.5 0.1 0.0 -0.1 0.17
UPA 0.73 0.4 2.6 -0.5 -0.0 0.0 -0.0 -0.23
WUT 0.62 -3.2 -3.4 -4.3 0.1 -0.0 -0.0 0.37
---------------------------------------------------------------------------------
RMS Translation (mm) Rotation (mas) Scale
Day 6 Sol. (mm) X Y Z X Y Z (ppb)
---------------------------------------------------------------------------------
ASI 2.61 -0.4 -13.8 25.2 0.4 -0.5 -0.3 -1.02
BEK 0.79 1.9 3.4 3.0 -0.0 0.0 0.1 -0.32
BEV 1.34 1.7 -10.8 1.6 0.2 0.0 -0.2 -0.10
BKG 1.01 -4.0 2.7 -1.0 -0.1 -0.1 0.1 0.15
COE 1.03 2.0 -1.2 3.3 0.0 -0.0 -0.0 -0.26
IGE 0.66 4.1 4.3 0.9 -0.1 0.2 0.1 -0.10
IGN 2.29 -0.2 0.3 9.6 0.0 -0.2 -0.0 -0.72
LPT 0.82 8.8 -1.6 -1.1 0.1 0.2 -0.1 -0.29
MUT 2.16 6.3 0.0 -4.1 -0.0 0.2 0.0 -0.06
NKG 0.68 -3.7 -7.7 0.7 0.3 -0.2 -0.1 0.23
RGA 0.81 -0.6 1.4 -9.7 -0.1 0.2 0.1 0.40
ROB 0.65 7.4 -0.2 -3.7 0.0 0.3 -0.0 -0.07
SGO 0.71 1.9 9.0 -12.8 -0.3 0.2 0.2 0.27
SUT 0.91 2.3 -1.6 0.7 0.1 0.0 -0.0 0.01
UPA 0.59 -0.4 -5.6 4.9 0.1 -0.1 -0.1 -0.23
WUT 0.49 -3.1 -1.6 -2.6 0.0 -0.1 -0.0 0.26
---------------------------------------------------------------------------------
2. OUTLIERS IN STATION POSITIONS
================================
Stations excluded from individual AC solutions due to residuals
exceeding 5 mm in North or East, or 12 mm in Up component:
Residuals (mm)
Day Sol. Iter. Site N E U
-------------------------------------------------
0 ASI 1 CANT -2.4 -1.3 13.8
0 ASI 1 EBRE 3.9 -5.8 -22.8
0 ASI 1 ELBA -0.7 7.9 0.7
0 ASI 1 ROVE -0.2 1.1 15.3
0 BEV 1 NYA2 -3.0 5.2 10.6
0 BEV 1 TRF2 -0.6 -0.1 12.8
0 IGN 1 BADH -0.3 1.5 17.1
0 IGN 1 CANT 2.1 -0.1 -21.6
0 IGN 1 SCOA 2.9 0.1 -15.4
0 IGN 1 SJDV 0.6 2.9 15.2
0 MUT 1 LAGO -8.1 0.4 13.6
0 MUT 1 SJDV 5.9 -8.8 -7.7
0 MUT 1 VAAS 4.7 2.0 12.9
1 ASI 1 GARI -0.5 0.5 12.1
1 ASI 1 ROVE 0.1 2.0 12.7
1 ASI 1 UCAG -0.6 3.9 -12.8
1 IGN 1 CANT 1.2 -1.5 -21.5
1 IGN 1 RIO1 0.6 -1.4 -12.1
1 IGN 1 SCOA 2.7 -1.6 -13.5
1 MUT 1 LAGO -8.1 -0.5 8.7
1 MUT 1 OSLS -1.4 0.6 -14.2
1 MUT 1 VAAS 0.4 1.0 12.4
2 ASI 1 CARG 1.5 -4.1 -13.4
2 ASI 1 ROVE 2.4 1.9 16.7
2 BEV 1 NYA2 -2.7 3.9 13.4
2 IGN 1 BADH -1.0 1.3 12.1
2 IGN 1 CANT 2.3 -0.4 -17.6
2 IGN 1 SCOA 4.1 0.2 -12.2
2 MUT 1 LAGO -7.4 -0.5 13.4
2 MUT 1 OSLS -3.0 1.9 -12.8
2 MUT 1 TOIL 5.9 1.9 1.2
3 ASI 1 CANT 1.6 -0.4 16.4
3 IGN 1 BADH -0.3 -0.5 13.0
3 IGN 1 CANT 2.9 -1.1 -19.9
3 IGN 1 SCOA 4.6 -1.1 -13.3
3 MUT 1 LAGO -9.9 0.7 19.3
3 MUT 1 OSLS -5.3 4.1 -3.7
3 MUT 1 PDEL -5.5 -2.4 5.5
3 ASI 2 RAEG -0.1 -0.1 12.1
4 ASI 1 CANT 0.8 -1.9 17.5
4 IGN 1 BADH -0.6 -1.1 14.7
4 IGN 1 CANT 2.1 -0.1 -16.4
4 IGN 1 SCOA 3.2 0.3 -14.1
4 MUT 1 LAGO -9.4 3.4 8.3
5 ASI 1 EBRE -0.1 -6.4 -8.2
5 ASI 1 VEN1 -0.8 0.5 -48.4
5 BEV 1 NYA2 -4.0 3.8 15.7
5 IGN 1 CANT 2.3 -0.1 -17.6
5 IGN 1 SCOA 4.2 1.2 -15.2
5 MUT 1 LAGO -9.8 1.2 9.6
6 ASI 1 CANT -0.9 -0.8 15.6
6 ASI 1 LAMP -0.8 1.5 15.2
6 ASI 1 NOA1 1.7 2.4 -17.9
6 IGN 1 CANT 2.6 -0.7 -16.4
6 MUT 1 LAGO -9.8 1.1 16.5
-------------------------------------------------
3. INCONSISTENCIES IN AC SINEX FILES
====================================
Stations excluded from AC solutions according to the list provided by EPN CB:
ftp://ftp.epncb.oma.be/pub/station/general/excluded/excluded.2031[0-6].
Day Sol. Site Reason
--------------------------------------------------
2 BKG POTS Receiver change during week 2031
2 MUT POTS Receiver change during week 2031
2 ROB POTS Receiver change during week 2031
4 BEK VALA Receiver change during week 2031
4 IGE VALA Receiver change during week 2031
4 MUT VALA Receiver change during week 2031
6 BKG IGEO Receiver change during week 2031
6 MUT IGEO Receiver change during week 2031
[Mailed from: "Tomasz Liwosz" <tomasz.liwosz@pw.edu.pl>]
EPN LAC Mailing list maintained by epncb@oma.be and archived at
ftp://epncb.oma.be/epncb/mail/LAC and http://epncb.oma.be/_newseventslinks/LACmail/.
MGI
Josefstadt
(Maßstab)
Hundsheimer Berg (Orientierung)
Hermannskogel (Lagerung)
MGI
| Ordnung | Abstand [km] | Anzahl |
|---|---|---|
| 1 | 35 | 138 |
| 2 | 18 | 427 |
| 3 | 11 | ~ 1.550 |
| 4 | 4 | ~ 8.600 |
| 5 | 1 | ~ 46.100 |
| 6 | 0,3 | ~ 167.000 |
147T von 224T Punkte haben ETRS Koordinaten
terrestrische Messungen 1910-1997
statische Messungen 1989-2012
- 29.000 TP
- 20.000 EP
- ~ 3 Basislinien/Punkt
APOS Messungen 2003-2017
- 10.000 TP
- 93.000 EP
BEV ETRS 2000 (Epoche 2002.56)
- Session GPS Week 1176 (21.7. - 27.7.02) -> 2002.56
- Auswertung von OLG und TUW
- Akzeptiert von EUREF TWG als offizielle österreichische Lösung
- Datumspunkte: GRAZ, WTZR, PENC, ZIMM
ETRS in Österreich - Grundnetz
ETRS in Österreich - vertical velocities
ETRS in Österreich - horizontal velocities
ETRS in Österreich - WIEN00AUT
ETRS <-> MGI
X,Y,Z
X, Y, Z
ϕ,λ,h
\phi, \lambda, h
x,y,h
x, y, h
X,Y,Z
X, Y, Z
ϕ,λ,h
\phi, \lambda, h
x,y,h
x, y, h
ETRS
MGI
7-Parameter-Transformation
{
dX: -577.326,
dY: -90.129,
dZ: -463.919,
a(x): 5.137'',
a(y): 1.474'',
a(z): 5.297'',
dm: -0.0000024232
}
Genauigkeit < 1.5m
ETRS <-> MGI
X,Y,Z
X, Y, Z
ϕ,λ,h
\phi, \lambda, h
x,y,h
x, y, h
X,Y,Z
X, Y, Z
ϕ,λ,h
\phi, \lambda, h
x,y,h
x, y, h
ETRS
MGI
GIS Grid
Genauigkeit < 0.15m
GIS Grid
- flächenbasierter Ansatz
- Datumsübergang zwischen ETRS und MGI
- Rasterung 30'' Länge und 45'' Breite (~ 1000m)
- Eingangsdaten 10% der Festpunkte (ohne 6. Ordnung)
- zu ungenau für Katasteranwendungen! Genauigkeit <15cm
- Gitterpunkte in MGI/Bessel!
-
Gridwert (dphi, dlam) in ETRF2000/GRS80!
ETRS <-> MGI
X,Y,Z
X, Y, Z
ϕ,λ,h
\phi, \lambda, h
x,y,h
x, y, h
X,Y,Z
X, Y, Z
ϕ,λ,h
\phi, \lambda, h
x,y,h
x, y, h
ETRS
MGI
Bestimmung über Passpunkte
Genauigkeit < 0.05m
ETRS <-> MGI - lokale Transformation über Passpunkte
X,Y,Z
X, Y, Z
ϕ,λ,h
\phi, \lambda, h
x,y,h
x, y, h
X,Y,Z
X, Y, Z
ϕ,λ,h
\phi, \lambda, h
x,y,h
x, y, h
ETRS
MGI
1. Schritt:
7-Parameter Transformation und Verebnung in spannungsfreie MGI Koordinaten (x',y',h')
2. Schritt:
Bestimmung von lokalen 4 TransformationsParameter
X′,Y′,Z′
X', Y', Z'
ϕ′,λ′,h′
\phi', \lambda', h'
x′,y′,h′
x', y', h'
MGI' (spannungsfrei)
7-Parameter-Transformation
4-Parameter-Bestimmung
Höhe
- Datum: Molo Satorio (Triest) 1875
- Messungen im Präzisionsnivellement auf Minimum reduziert
- Fokus auf Geoidbestimmung
- Verdichtung der Schwerewerte
Höhentransformation
Transformation über Näherungen und Grid-Produkte des BEVs.
Mittlerweile sind sämtliche Grids kostenlos verfügbar!
BEV Transformator
https://transformator.bev.gv.at/at.gv.bev.transformator/austrian
Höhentransformation
Geoid
- flächenbasierter Ansatz
- Datumsübergang von ellipsoidischen Höhen auf orthometrische Höhen
- Rasterung 1.5' Länge und 2.5' Breite (~ 5000m)
- Gridpunkt in MGI/Bessel bzw. ETRF2000/GRS80!
Höhengrid
- flächenbasierter Ansatz
- Datumsübergang von orthometrische Höhen auf Gebrauchshöhen
- Rasterung 15'' Länge und 22.5'' Breite (~ 500m)
- Gridpunkt in MGI/Bessel
- Entlang von Nivellementlinien: <0.5 cm
- Mittelgebirge: <2cm
- + Geoidungenauigkeit <3cm
Höhengrid + Geoid
- flächenbasierter Ansatz
- Datumsübergang von ellipsoidischen Höhen auf Gebrauchshöhen
- Rasterung 15'' Länge und 22.5'' Breite (~ 500m)
- Gitterpunkt in MGI/Bessel
- Gridwert in ETRS2000/GRS80
- Entlang von Nivellementlinien: <0.5 cm
- Mittelgebirge: <2cm
Zusammenfassung
- GGOS
- EUREF AC/DC
- BEV Transformator
- Neurechnung Festpunkte
- Geoidverbesserung
Paradigmenwechsel von statischen Referenzsystemen
zu Real Time Reference Systems
Danke an
Franz Blauensteiner
Jürgen Otter
Jürgen Fredriksson
Matthias Madzak
Martin Sehnal
Christian Ullrich
Von Koordinaten und Systemen
DI Philipp Mitterschiffthaler
Von Koordinaten und Systemen DI Philipp Mitterschiffthaler