Spherical gravitational curvature boundary-value problem
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F16%3A43928608" target="_blank" >RIV/49777513:23520/16:43928608 - isvavai.cz</a>
Result on the web
<a href="http://link.springer.com/article/10.1007/s00190-016-0905-x" target="_blank" >http://link.springer.com/article/10.1007/s00190-016-0905-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00190-018-1137-z" target="_blank" >10.1007/s00190-018-1137-z</a>
Alternative languages
Result language
angličtina
Original language name
Spherical gravitational curvature boundary-value problem
Original language description
Values of scalar, vector and second-order tensor parameters of the Earth's gravitational field have been collected by various sensors in geodesy and geophysics. Such observables have been widely exploited in different parametrization methods for the gravitational field modelling. Moreover, theoretical aspects of these quantities have extensively been studied and well understood. On the other hand, new sensors for observing gravitational curvatures, i.e., components of the third-order gravitational tensor, are currently under development. As the gravitational curvatures represent new types of observables, their exploitation for modelling of the Earth's gravitational field is a subject of this study. Firstly, the gravitational curvature tensor is decomposed into six parts which are expanded in terms of third-order tensor spherical harmonics. Secondly, gravitational curvature boundary-value problems defined for four combinations of the gravitational curvatures are formulated and solved in spectral and spatial domains. Thirdly, properties of the corresponding sub-integrals are investigated. The presented mathematical formulations reveal some important properties of the gravitational curvatures and extend the so-called Meissl scheme, i.e., an important theoretical framework that relates various parameters of the Earth's gravitational field.
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
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
JOURNAL OF GEODESY
ISSN
0949-7714
e-ISSN
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Volume of the periodical
90
Issue of the periodical within the volume
8
Country of publishing house
DE - GERMANY
Number of pages
11
Pages from-to
727-739
UT code for WoS article
000429540500008
EID of the result in the Scopus database
2-s2.0-85044773006