On combining the directional solutions of the 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%2F21%3A43954935" target="_blank" >RIV/49777513:23520/21:43954935 - isvavai.cz</a>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
On combining the directional solutions of the gravitational curvature boundary-value problem
Original language description
In global studies, the Earth'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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10508 - Physical geography
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
IAG Symposia
ISBN
978-3-030-54266-5
ISSN
0939-9585
e-ISSN
2197-9359
Number of pages
7
Pages from-to
41-47
Publisher name
Springer Verlag
Place of publication
Cham
Event location
Rome
Event date
Jun 18, 2018
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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