Spatially restricted integrals in gradiometric boundary value problemsSpatially restricted integrals in gradiometric boundary value problems

• Autorzy: Eshagh M.

Identyfikatory

DOI

10.2478/v10018-009-0025-4

• Języki publikacji: EN

Abstrakty

EN

The spherical Slepian functions can be used to localize the solutions of the gradiometric boundary value problems on a sphere. These functions involve spatially restricted integral products of scalar, vector and tensor spherical harmonics. This paper formulates these integrals in terms of combinations of the Gaunt coefficients and integrals of associated Legendre functions. The presented formulas for these integrals are useful in recovering the Earth’s gravity field locally from the satellite gravity gradiometry data.

Słowa kluczowe

EN

Clebsch-Gordan’s coefficients; Gaunt’s coefficients; harmonic analysis; associated Legendre’s function; satellite gravity gradiometry; Slepian’s function

• Wydawca: Centrum Badań Kosmicznych PAN ; De Gruyter
• Czasopismo: Artificial Satellites : Journal of Planetary Geodesy
• Rocznik: 2009
• Tom: Vol. 44, No. 4
• Strony: 131--148
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Eshagh M.

• Division of Geodesy, Royal Institute of Technology (KTH), Stockholm, Sweden

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).