Spheroidal integral equations for geodetic inversion of geopotential gradients

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Spheroidal integral equations for geodetic inversion of geopotential gradients

Popis výsledku v původním jazyce

The static Earth&apos;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&apos;s surface. A generalized mathematical model is represented by a surface integral equation which originates in solving Dirichlet&apos;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&apos;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.

Název v anglickém jazyce

Spheroidal integral equations for geodetic inversion of geopotential gradients

Popis výsledku anglicky

The static Earth&apos;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&apos;s surface. A generalized mathematical model is represented by a surface integral equation which originates in solving Dirichlet&apos;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&apos;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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10508 - Physical geography

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)

Rok uplatnění

2018

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Surveys in Geophysics

ISSN

0169-3298

e-ISSN

—

Svazek periodika

39

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

26

Strana od-do

245-270

Kód UT WoS článku

000425326600003

EID výsledku v databázi Scopus

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