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The precise computation of geoid undulation differences with comparison to results obtained from the Global Positioning System
Author(s) -
Engelis Theo,
Rapp Richard H.,
Tscherning C. C.
Publication year - 1984
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/gl011i009p00821
Subject(s) - geoid , geodesy , undulation of the geoid , geology , computation , global positioning system , ellipsoid , collocation (remote sensing) , least squares function approximation , mathematics , remote sensing , geophysics , computer science , algorithm , statistics , measured depth , telecommunications , estimator
Ellipsoidal height differences have been determined for 13 station pairs in the central Ohio region using measurements made with the Global Positioning System. This information was used to compute geoid undulation differences based on known orthometric heights. These differences were compared to gravimetrically computed undulations (using a Stokes integration procedure and least squares collocation having an internal r.m.s. agreement of ±1 cm in undulation differences). The two sets of undulation differences have an r.m.s. discrepancy of ±5 cm while the average station separation is of the order of 14 km. This good agreement suggests that gravimetric data can be used to compute accurate geoid undulation differences that can be used to convert ellipsoidal height differences obtained from GPS to orthometric height differences.