Počet záznamů: 1
On computing ellipsoidal harmonics using Jekeli's renormalization
- 1.
SYSNO ASEP 0388887 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název On computing ellipsoidal harmonics using Jekeli's renormalization Tvůrce(i) Sebera, Josef (ASU-R) RID, ORCID
Bouman, J. (DE)
Bosch, W. (DE)Zdroj.dok. Journal of Geodesy. - : Springer - ISSN 0949-7714
Roč. 86, č. 9 (2012), s. 713-726Poč.str. 14 s. Jazyk dok. eng - angličtina Země vyd. DE - Německo Klíč. slova Earth's gravitational field ; spherical and ellipsoidal harmonics ; hypergeometric function Vědní obor RIV BN - Astronomie a nebeská mechanika, astrofyzika Institucionální podpora ASU-R - RVO:67985815 UT WOS 000307556800003 DOI 10.1007/s00190-012-0549-4 Anotace 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. Pracoviště Astronomický ústav Kontakt Radka Svašková, bibl@asu.cas.cz, Tel.: 323 620 326 Rok sběru 2013
Počet záznamů: 1