Comments and corrections to: "Ellipsoidal spectral properties of the Earth's gravitational potential and its first and second derivatives" by Bölling and Grafarend (2005) in J.Geod. 79(6-7):300-330
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F23%3A43969669" target="_blank" >RIV/49777513:23520/23:43969669 - isvavai.cz</a>
Výsledek na webu
<a href="https://doi.org/10.1007/s00190-023-01799-x" target="_blank" >https://doi.org/10.1007/s00190-023-01799-x</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00190-023-01799-x" target="_blank" >10.1007/s00190-023-01799-x</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Comments and corrections to: "Ellipsoidal spectral properties of the Earth's gravitational potential and its first and second derivatives" by Bölling and Grafarend (2005) in J.Geod. 79(6-7):300-330
Popis výsledku v původním jazyce
In this contribution, we comment on and thoroughly identify errors which occur in the research article titled ``Ellipsoidal spectral properties of the Earth's gravitational potential and its first and second derivatives'' by Bolling and Grafarend (2005) published in J.Geod. 79(6-7):300-330. The major issues affecting the main theoretical results by Bolling and Grafarend (2005) are: 1) The tangential-tangential tensor spherical harmonics are not orthogonal for different harmonic degrees and the same harmonic orders. Consequently, the corresponding solution of the spherical gradiometric boundary value problem and the spherical integral formulas relating the tangential-tangential components of the incremental gravity gradient tensor are invalid. 2) The tangential-tangential, tangential-shear, tangential-dilation, tangential-normal, and normal-normal tensor ellipsoidal harmonics are not orthogonal for different harmonic degrees and the same harmonic orders. As a result, the solutions of the ellipsoidal gradiometric boundary value problems and the ellipsoidal integral formulas transforming the components of the incremental gravity gradient tensor among themselves are incorrect.
Název v anglickém jazyce
Comments and corrections to: "Ellipsoidal spectral properties of the Earth's gravitational potential and its first and second derivatives" by Bölling and Grafarend (2005) in J.Geod. 79(6-7):300-330
Popis výsledku anglicky
In this contribution, we comment on and thoroughly identify errors which occur in the research article titled ``Ellipsoidal spectral properties of the Earth's gravitational potential and its first and second derivatives'' by Bolling and Grafarend (2005) published in J.Geod. 79(6-7):300-330. The major issues affecting the main theoretical results by Bolling and Grafarend (2005) are: 1) The tangential-tangential tensor spherical harmonics are not orthogonal for different harmonic degrees and the same harmonic orders. Consequently, the corresponding solution of the spherical gradiometric boundary value problem and the spherical integral formulas relating the tangential-tangential components of the incremental gravity gradient tensor are invalid. 2) The tangential-tangential, tangential-shear, tangential-dilation, tangential-normal, and normal-normal tensor ellipsoidal harmonics are not orthogonal for different harmonic degrees and the same harmonic orders. As a result, the solutions of the ellipsoidal gradiometric boundary value problems and the ellipsoidal integral formulas transforming the components of the incremental gravity gradient tensor among themselves are incorrect.
Klasifikace
Druh
J<sub>SC</sub> - Článek v periodiku v databázi SCOPUS
CEP obor
—
OECD FORD obor
10508 - Physical geography
Návaznosti výsledku
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)
Ostatní
Rok uplatnění
2023
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název periodika
Journal of Geodesy
ISSN
0949-7714
e-ISSN
1432-1394
Svazek periodika
97
Číslo periodika v rámci svazku
11
Stát vydavatele periodika
US - Spojené státy americké
Počet stran výsledku
10
Strana od-do
—
Kód UT WoS článku
—
EID výsledku v databázi Scopus
2-s2.0-85176301652