Non-singular expressions for the spherical harmonic synthesis of gravitational curvatures in a local north-oriented reference frame

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F16%3A43927457" target="_blank" >RIV/49777513:23520/16:43927457 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1016/j.cageo.2015.12.011" target="_blank" >http://dx.doi.org/10.1016/j.cageo.2015.12.011</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.cageo.2015.12.011" target="_blank" >10.1016/j.cageo.2015.12.011</a>

Result language

angličtina

Original language name

Non-singular expressions for the spherical harmonic synthesis of gravitational curvatures in a local north-oriented reference frame

Original language description

Third-order gradients of the gravitational potential (gravitational curvatures) have already found some applications in geosciences. Observability of these parameters, describing the Earth's gravitational field in a more complex way than any other currently available gravitational parameter, such as gravitational acceleration (first-order gradient) or gravitational (second-order) gradient, is currently discussed by physicists. Moreover, first designs of observational devices (sensors) have already been proposed. The spherical harmonic analysis and synthesis are the common tools used by geoscientists to study spectral properties of various functionals of the Earth's gravitational potential. However, the conventional spherical harmonic expansions of the gravitational curvatures in the local north-oriented reference frame have rather complicated forms that depend on the first-, second- and third-order derivatives of the associated Legendre functions. Moreover, some of these expansions also contain singular terms at the poles. In this article, the conventional series are transformed to new simpler and non-singular forms based on relations between the associated Legendre functions and their derivatives. Numerical experiments demonstrate the applicability and correctness of the new expressions.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

DE - Earth magnetism, geodesy, geography

OECD FORD branch

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Project

<a href="/en/project/GA15-08045S" target="_blank" >GA15-08045S: Methods for validation, analysis and application of data from satellite missions in geodesy and geophysics</a><br>

Continuities

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

Publication year

2016

Confidentiality

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

Name of the periodical

COMPUTERS &amp; GEOSCIENCES

ISSN

0098-3004

e-ISSN

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Volume of the periodical

88

Issue of the periodical within the volume

1

Country of publishing house

NL - THE KINGDOM OF THE NETHERLANDS

Number of pages

11

Pages from-to

152-162

UT code for WoS article

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EID of the result in the Scopus database

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