FarZone4IT: A MatLab-based software for the calculation of far-zone effects for spherical integral transformations

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

FarZone4IT: A MatLab-based software for the calculation of far-zone effects for spherical integral transformations

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

FarZone4IT: A MatLab-based software for the calculation of far-zone effects for spherical integral transformations

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10508 - Physical geography

Projekt

<a href="/cs/project/GA23-07031S" target="_blank" >GA23-07031S: Elipsoidické modelování planetárních gravitačních polí</a><br>

Návaznosti

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

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

Earth Science Informatics

ISSN

1865-0473

e-ISSN

1865-0481

Svazek periodika

18

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

12

Strana od-do

nestránkováno

Kód UT WoS článku

001379689900005

EID výsledku v databázi Scopus

2-s2.0-85212432572