Spherical gravitational curvature boundary-value problem
Identifikátory výsledku
Kód výsledku v 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>
Výsledek na webu
<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>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Spherical gravitational curvature boundary-value problem
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
Spherical gravitational curvature boundary-value problem
Popis výsledku anglicky
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.
Klasifikace
Druh
J<sub>imp</sub> - Článek v periodiku v databázi Web of Science
CEP obor
—
OECD FORD obor
10508 - Physical geography
Návaznosti výsledku
Projekt
<a href="/cs/project/GA15-08045S" target="_blank" >GA15-08045S: Metody validace, zpracování a použití dat družicových misí v geodézii a geofyzice</a><br>
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Ostatní
Rok uplatnění
2016
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
JOURNAL OF GEODESY
ISSN
0949-7714
e-ISSN
—
Svazek periodika
90
Číslo periodika v rámci svazku
8
Stát vydavatele periodika
DE - Spolková republika Německo
Počet stran výsledku
11
Strana od-do
727-739
Kód UT WoS článku
000429540500008
EID výsledku v databázi Scopus
2-s2.0-85044773006