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March 10, 2022
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Geoid errors on the Canadian Geoid 2005 (CGG05) gravity satellite are estimated using error information from a human on the satelliteand Earth data on the law of gravity. Calibration is performed by a kind of segment variance estimation (VCE) application.GPS leveling data and their correlated covariance matrices. Preliminary results point to new error in geoid heightsin many cases less than 6 cm in Canada, ranging from 6 cm to 31 cm for the Western Cordillera region. general averageThe error of the model related to CGG05 is estimated at 5.5 cm.
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On a new estimate of the regional geoid error in
Canada
J. Juan (1), G. Fotopoulos (2), M. C. Cheng (3), M. Veronno (1), M. G. Sideris (2)
(1) Survey Department, CLS, Natural Resources Canada, 615 Booth Street, Ottawa, Ontario,
K1A 0E9, Canada
(2) Dept. of Geomatics Engineering, 2550 University Drive NW Calgary, Alberta T2N 1N4 Canada
(3) The University of Texas Space Research Center located at 3925 Austin, West Braker Ln. #200, Austin,
Texas 78759, USA
Summary. The geoid errors for the Canadian
gravimetric geoid 2005 (CGG05) model were
estimated based on error information commonly found in satellite data
and terrestrial gravity. Calibration is done
by estimating the variance component
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(VCE) with the GPS level data and
the appropriate covariance matrices . Preliminary results
suggest that true geoid height error
in Canada can typically be less than 6 cm with a range
from 6 cm to 31 cm for the region Western Cordillera.
In general, the mainThe error of the CGG05 model
can be estimated at 5.5 cm.
Key words. Geoid, Gravity, Error Estimation
1 Introduction
As the use of GPS-based position increases
there is an increasing need for direct ellipsoid conversion
Heights Heights related with sufficient accuracy to this regional elevation
are also incremented.
For Canada, the use of the gravitational geoid, which is the
national reference for elevations, is currently being studied
very actively. Recent large-scale development
of space (e.g. gravimetry, CHAMP, GRACE and the upcoming
GOCE mission) provides an opportunity to
follow this kind of abrupt change of the old
vertical date. However, before a vertical reference system based on the
gravimetric geoid becomes generally accepted, as opposed to a specific system based on
traditional leveling grids, it
a reasonable estimate is important
systematic additional stochastic errors of the geoid model.
This will probably be a difficult task, sinceinformation is also limited or incomplete,
given the quality of terrestrial gravity data,
presenting difficulties in quantizing gravity,
reduction and interpolation errors have only
Rough estimates of errors associated with
satellite equipment.
This map has a dual purpose, namely (i)
to share a detailed overview of all error sources
in the 2005 Canadian gravity geoid
< p>Model (CGG05) (includes satellite TV on computer gravity model
, earth gravity data, gravity law reduction method
and far-field response error) and
(ii) develop a suitable method
for estimating the geoid gravity error based on these error sources
. In particular, the Nearly
Unbiased Reassessment (IAUE) scheme is commonly used
to check/calibrate geoid error by intersecting GPS leveling data
existing for purchased in Canada .
2 Methodology
2.1 Geoid Gravity Error Estimation
The CGG05 model was built using meaningful stokes with stripes
as described in Huang
and Veronneau (2005). To show how
errors typically propagate in a geoid model, the formula
to accurately determine the geoid is simplified as
)1(F ‘d ) gg) (( S
4R
NN
‘N
SG
L< /p >
TG
DB
SG
L
∔+−ψ
< p >Ï € О³< /p >
+=
Ω
Ω∆∆
where you see , the first term on the right side of equation (1)
represents specific components of the geoid at a harmonic of spherical degree
L+1 of the satellite structure (SG), R
< p> is the midpoint of the Earth’s radius, γ is the normal of our own < /p>
gravity on the reference ellipsoid, and ∆g stands for
gravity anomalies Straight Stokes strip < /p>
kernel can also be expressed
−
+=
ψ< /p>
−
+
=ψ TG
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