Počet záznamů: 1  

On computing ellipsoidal harmonics using Jekeli's renormalization

  1. 1.
    SYSNO ASEP0388887
    Druh ASEPJ - Článek v odborném periodiku
    Zařazení RIVJ - Článek v odborném periodiku
    Poddruh JČlánek ve WOS
    NázevOn 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 - ISSN 0949-7714
    Roč. 86, č. 9 (2012), s. 713-726
    Poč.str.14 s.
    Jazyk dok.eng - angličtina
    Země vyd.DE - Německo
    Klíč. slovaEarth's gravitational field ; spherical and ellipsoidal harmonics ; hypergeometric function
    Vědní obor RIVBN - Astronomie a nebeská mechanika, astrofyzika
    Institucionální podporaASU-R - RVO:67985815
    UT WOS000307556800003
    DOI10.1007/s00190-012-0549-4
    AnotaceGravity 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.
    PracovištěAstronomický ústav
    KontaktRadka Svašková, bibl@asu.cas.cz, Tel.: 323 620 326
    Rok sběru2013