Spheroidal integral equations for geodetic inversion of geopotential gradients
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F18%3A43933143" target="_blank" >RIV/49777513:23520/18:43933143 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10712-017-9450-2" target="_blank" >http://dx.doi.org/10.1007/s10712-017-9450-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10712-017-9450-2" target="_blank" >10.1007/s10712-017-9450-2</a>
Alternative languages
Result language
angličtina
Original language name
Spheroidal integral equations for geodetic inversion of geopotential gradients
Original language description
The static Earth's gravitational field has traditionally been described in geodesy and geophysics by the gravitational potential (geopotential for short), a scalar function of 3-D position. Although not directly observable, geopotential functionals such as its first- and second-order gradients are routinely measured by ground, airborne and/or satellite sensors. In geodesy, these observables are often used for recovery of the static geopotential at some simple reference surface approximating the actual Earth's surface. A generalized mathematical model is represented by a surface integral equation which originates in solving Dirichlet's boundary-value problem of the potential theory defined for the harmonic geopotential, spheroidal boundary and globally distributed gradient data. The mathematical model can be used for combining various geopotential gradients without necessity of their re-sampling or prior continuation in space. The model extends the apparatus of integral equations which results from solving boundary-value problems of the potential theory to all geopotential gradients observed by current ground, airborne and satellite sensors. Differences between spherical and spheroidal formulations of integral kernel functions of Green's kind are investigated. Estimated differences reach relative values at the level of 3% which demonstrates the significance of spheroidal approximation for flattened bodies such as the Earth. The observation model can be used for combined inversion of currently available geopotential gradients while exploring their spectral and stochastic characteristics. The model would be even more relevant to gravitational field modelling of other bodies in space with more pronounced spheroidal geometry than the Earth.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10508 - Physical geography
Result continuities
Project
<a href="/en/project/GA15-08045S" target="_blank" >GA15-08045S: Methods for validation, analysis and application of data from satellite missions in geodesy and geophysics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Surveys in Geophysics
ISSN
0169-3298
e-ISSN
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Volume of the periodical
39
Issue of the periodical within the volume
2
Country of publishing house
DE - GERMANY
Number of pages
26
Pages from-to
245-270
UT code for WoS article
000425326600003
EID of the result in the Scopus database
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