1 Determinación precisa del geoide Determinación precisa del geoide The Submetric Geoid of Mexico Determinación precisa del geoide Determinación precisa del geoide Alternatives for a precise geoid determination Ways to have a geoidal solution: – Ask somebody to do it. – Buy software and use it as a black box. – Learn how to do it and do by oneself. Determinación precisa del geoide Determinación precisa del geoide Stokes-Helmert Scheme University of New Brunswick Canada P. Vanicek M. Najafi P. Novak J. Huang J. Janak R. Tenzer Determinación precisa del geoide Determinación precisa del geoide REAL REAL SPACE SPACE ATMOSPHER TERRAIN GEOID ELLIPSOID g H HELMERT HELMERT SPACE SPACE COGEOID Direct effect g h Primary indirect effect H h N N h ( ) ds g S N h h = Determinación precisa del geoide Determinación precisa del geoide INPUT DATA: Digital Elevation Model Detailed (1”x1”) –average (30”x30”) –global Gravimetric Data –point –Global model Lateral Density Model REFERENCE DATA: GPS /BM Determinación precisa del geoide Determinación precisa del geoide POINT GRAVITY 6° 9° 7° MEAN HEIGHTS DETAILED DEM RECOMMENDED INPUT DATA
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1
Determinación precisa del geoideDeterminación precisa del geoide
The Submetric Geoid of Mexico
Determinación precisa del geoideDeterminación precisa del geoide
Alternatives for a precise geoid determination
Ways to have a geoidal solution:
– Ask somebody to do it.
– Buy software and use it as a black box.
– Learn how to do it and do by oneself.
Determinación precisa del geoideDeterminación precisa del geoide
Stokes-Helmert Scheme
University of New BrunswickCanada
P. VanicekM. NajafiP. NovakJ. HuangJ. JanakR. Tenzer
Determinación precisa del geoideDeterminación precisa del geoide
STOKES-HELMERT SCHEMESTOKES-HELMERT SCHEME
REALSPACEREALREAL
SPACESPACE
ATMOSPHER
TERRAIN
GEOID
ELLIPSOID
g
H
HELMERTSPACE
HELMERTHELMERTSPACESPACE
COGEOID
Direct effect
gh
Primary indirect effect
Hh
NNh
( ) ds∆gψSκN hh∫∫=
Determinación precisa del geoideDeterminación precisa del geoide
INPUT DATA:
Digital Elevation ModelDetailed (1”x1”)
–average (30”x30”)–global
Gravimetric Data–point–Global model
Lateral Density Model
REFERENCE DATA:
GPS /BM
Determinación precisa del geoideDeterminación precisa del geoide
POINT GRAVITY 6°
9°7°MEAN
HEIGHTSDETAILEDDEM
RECOMMENDED INPUT DATA
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Determinación precisa del geoideDeterminación precisa del geoide
RECOMMENDED INPUT DATA
Determinación precisa del geoideDeterminación precisa del geoide
STANDARDIZATED DATAMODELO DIGITAL DETALLADO
Determinación precisa del geoideDeterminación precisa del geoide
STANDARDIZATED DATA
Determinación precisa del geoideDeterminación precisa del geoide
COMPUTED EFFECTS
Determinación precisa del geoideDeterminación precisa del geoide
COMPUTED EFFECTS
Determinación precisa del geoideDeterminación precisa del geoide
COMPUTED EFFECTS
3
Determinación precisa del geoideDeterminación precisa del geoide
TEST AREA SOLUTION
Determinación precisa del geoideDeterminación precisa del geoide
0
1
2
3
4
5
EVALUATION OF TEST AREA
rms ± 0.599 m
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