On combining the directional solutions of the gravitational curvature boundary-value problem

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F21%3A43954935" target="_blank" >RIV/49777513:23520/21:43954935 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1007/1345_2019_68" target="_blank" >https://doi.org/10.1007/1345_2019_68</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/1345_2019_68" target="_blank" >10.1007/1345_2019_68</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On combining the directional solutions of the gravitational curvature boundary-value problem

Popis výsledku v původním jazyce

In global studies, the Earth&apos;s gravitational field is conveniently described in terms of spherical harmonics. The solution to a gravitational curvature boundary-value problem canould formally be formulated for the vertical-vertical-vertical, vertical-vertical-horizontal, vertical-horizontal-horizontal and horizontal-horizontal-horizontal components. Each equation provides an independent set of spherical harmonic coefficients because each component of the third-order gravitational tensor is sensitive to gravitational changes in the different direction. In this contribution, estimations of spherical harmonic coefficients are carried out by combining four solutions components of the gravitational curvature boundary-value problem based on using three methods, namely an arithmetic mean, a weighted mean and a conditional adjustment model. Since the third-order gradients directional derivatives of the gravitational potential are not yet observed by satellite sensors, we synthesise them at thea satellite altitude of 250 km from a global gravitational model up to the degree 360 of spherical harmonics, while adding a Gaussian noise with thea standard deviation of m-1 s-2. Results of the numerical analysis reveal that an arithmetic mean provides the best solution in terms by means of of the RMS fit between predicted and referenceobserved values. We explain this resultfinding by the fact that the conditions only create additional stochastic bindings between estimated parameters.

Název v anglickém jazyce

On combining the directional solutions of the gravitational curvature boundary-value problem

Popis výsledku anglicky

In global studies, the Earth&apos;s gravitational field is conveniently described in terms of spherical harmonics. The solution to a gravitational curvature boundary-value problem canould formally be formulated for the vertical-vertical-vertical, vertical-vertical-horizontal, vertical-horizontal-horizontal and horizontal-horizontal-horizontal components. Each equation provides an independent set of spherical harmonic coefficients because each component of the third-order gravitational tensor is sensitive to gravitational changes in the different direction. In this contribution, estimations of spherical harmonic coefficients are carried out by combining four solutions components of the gravitational curvature boundary-value problem based on using three methods, namely an arithmetic mean, a weighted mean and a conditional adjustment model. Since the third-order gradients directional derivatives of the gravitational potential are not yet observed by satellite sensors, we synthesise them at thea satellite altitude of 250 km from a global gravitational model up to the degree 360 of spherical harmonics, while adding a Gaussian noise with thea standard deviation of m-1 s-2. Results of the numerical analysis reveal that an arithmetic mean provides the best solution in terms by means of of the RMS fit between predicted and referenceobserved values. We explain this resultfinding by the fact that the conditions only create additional stochastic bindings between estimated parameters.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10508 - Physical geography

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2021

Kód důvěrnosti údajů

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

Název statě ve sborníku

IAG Symposia

ISBN

978-3-030-54266-5

ISSN

0939-9585

e-ISSN

2197-9359

Počet stran výsledku

7

Strana od-do

41-47

Název nakladatele

Springer Verlag

Místo vydání

Cham

Místo konání akce

Rome

Datum konání akce

18. 6. 2018

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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