FarZone4IT: A MatLab-based software for the calculation of far-zone effects for spherical integral transformations
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F25%3A43973730" target="_blank" >RIV/49777513:23520/25:43973730 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s12145-024-01529-7" target="_blank" >https://link.springer.com/article/10.1007/s12145-024-01529-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s12145-024-01529-7" target="_blank" >10.1007/s12145-024-01529-7</a>
Alternative languages
Result language
angličtina
Original language name
FarZone4IT: A MatLab-based software for the calculation of far-zone effects for spherical integral transformations
Original language description
Integral transformations are a useful mathematical apparatus for modelling the gravitational field. They represent the mathematical basis for formulating integral estimators of gravitational field values, including error propagation. The theoretical and practical aspects of integral transformations traditionally used for calculating geoid/quasigeoid heights in geodesy, such as Stokes’s and Hotine’s integral transformations, have already been studied. However, theoretical and practical concepts regarding other integral transformations, including non-isotropic (azimuth-dependent) transformations, have yet to be explored. One of the basic assumptions of integral transformations is global data coverage. However, the availability of ground measurements is frequently limited. In practice, the global integral is divided into two complementary regions: the near- and far–zones. Non–negligible systematic effects of data in the far-zone require accurate evaluation. For this purpose, a new software library is developed in the MatLab environment to calculate far–zone effects for integral transformations for gravitational potential gradients up to the third order. The library contains scripts for calculating integral kernels, error kernels, truncation error coefficients, and far-zone effects for a selected set of input parameters. This contribution deals with implementing equations defining far-zone effects and the subsequent numerical testing of the library functionality. Closed-loop tests were carried out using gravitational potential functionals generated from a global Earth’s gravitational field model to check the numerical correctness of the software library.
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/GA23-07031S" target="_blank" >GA23-07031S: Ellipsoidal modelling of planetary gravitational fields</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Earth Science Informatics
ISSN
1865-0473
e-ISSN
1865-0481
Volume of the periodical
18
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
12
Pages from-to
nestránkováno
UT code for WoS article
001379689900005
EID of the result in the Scopus database
2-s2.0-85212432572