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
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
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
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS 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
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Geodesy
ISSN
0949-7714
e-ISSN
1432-1394
Volume of the periodical
97
Issue of the periodical within the volume
11
Country of publishing house
US - UNITED STATES
Number of pages
10
Pages from-to
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UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85176301652