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The inverse problem of constructing a gravimetric geoidComputation of a single geoidal height from gravity acceleration data formally requires that the latter be known everywhere on the earth. A computational procedure based on linear inverse theory for estimating geoidal heights from incomplete sets of data is presented. The same scheme can be used to estimate gravity accelerations from altimetry-derived geoids. The systematic error owing to lack of data and the choice of a particular inverse operator is described by using resolution functions and their spherical harmonic expansions. An rms value of this error is also estimated by assuming a spectrum for the unknown geoid. The influence of the size of the data region, the spacing between data, the filtering applied to the data, and the model weighting function chosen are all quantified in a spherical geometry. The examples presented show that when low degree spherical harmonic coefficients are available - from satellite orbit analysis - a band-passed version of the geoid can be constructed from local gravity data, even with a relatively restricted data set.
Document ID
19820043437
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Zlotnicki, V.
(MIT, Cambridge; Woods Hole Oceanographic Institution, Woods Hole MA, United States)
Parsons, B.
Wunsch, C.
(MIT Cambridge, MA, United States)
Date Acquired
August 10, 2013
Publication Date
March 10, 1982
Publication Information
Publication: Journal of Geophysical Research
Volume: 87
Subject Category
Geophysics
Accession Number
82A26972
Funding Number(s)
CONTRACT_GRANT: N00014-80-C-0273
Distribution Limits
Public
Copyright
Other

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