On Computing Ellipsoidal Harmonics Using Jekeli´s Renormalization

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F12%3A00196251" target="_blank" >RIV/68407700:21110/12:00196251 - isvavai.cz</a>

Alternative codes found

RIV/67985815:_____/12:00388887

Result on the web

<a href="http://dx.doi.org/10.1007/s00190-012-0549-4" target="_blank" >http://dx.doi.org/10.1007/s00190-012-0549-4</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00190-012-0549-4" target="_blank" >10.1007/s00190-012-0549-4</a>

Result language

angličtina

Original language name

On Computing Ellipsoidal Harmonics Using Jekeli´s Renormalization

Original language description

Gravity data observed on or reduced to the ellipsoid are preferably represented using ellipsoidal harmonics instead of spherical harmonics. Ellipsoidal harmonics, however, are difficult to use in practice because the computation of the associated Legendre functions of the second kind that occur in the ellipsoidal harmonic expansions is not straightforward. Jekeli's renormalization simplifies the computation of the associated Legendre functions. We extended the direct computation of these functions-as well as that of their ratio-up to the second derivatives and minimized the number of required recurrences by a suitable hypergeometric transformation. Compared with the original Jekeli's renormalization the associated Legendre differential equation is fulfilled up to much higher degrees and orders for our optimized recurrences. The derived functions were tested by comparing functionals of the gravitational potential computed with both ellipsoidal and spherical harmonic syntheses. As an inp

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

BN - Astronomy and celestial mechanics, astrophysics

OECD FORD branch

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Project

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Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2012

Confidentiality

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

Name of the periodical

Journal of Geodesy

ISSN

0949-7714

e-ISSN

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Volume of the periodical

86

Issue of the periodical within the volume

9

Country of publishing house

DE - GERMANY

Number of pages

14

Pages from-to

713-726

UT code for WoS article

000307556800003

EID of the result in the Scopus database

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