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Spherical harmonic analysis of gravitational curvatures and its implications for future satellite missions

Citace:
ŠPRLÁK, M., NOVÁK, P., PITOŇÁK, M. Spherical harmonic analysis of gravitational curvatures and its implications for future satellite missions. SURVEYS IN GEOPHYSICS, 2016, roč. 37, č. 3, s. 681-700. ISSN: 0169-3298
Druh: ČLÁNEK
Jazyk publikace: eng
Anglický název: Spherical harmonic analysis of gravitational curvatures and its implications for future satellite missions
Rok vydání: 2016
Autoři: Ing. Michal Šprlák Ph.D. , Prof. Ing. Pavel Novák Ph.D. , Ing. Martin Pitoňák Ph.D.
Abstrakt CZ: V teto praci uvazujeme, ze je mozne merit hodnoty gravitacni krivosti pomoci umelych druzic Zeme. Tensor gravitacni krivosti ma 10 ruznych slozek, ktere je mozne seskupit do 4 skupin. Tyto skupiny je mozne analyzovat metodou harmonicke analyzy. V clanku jsou studovany spektralni vlastnosti gravitacnich krivosti a jejich pouziti pro vypocet koeficientu ve spektralni rade gravitacniho potencialu.
Abstrakt EN: In this study we assume a gravitational curvature tensor, i.e., the tensor of third-order potential derivatives, would potentially become observable at satellite altitudes. Such tensor, composing of 10 different components, i.e., gravitational curvatures, may be divided into vertical-vertical-vertical, vertical-vertical-horizontal, vertical-horizontal-horizontal and horizontal-horizontal-horizontal parts. Firstly, we study spectral properties of the gravitational curvatures. Secondly, we derive quadrature formulas for spherical harmonic analysis of the four parts of the gravitational curvature tensor and provide corresponding analytical error models. Thirdly, requirements for an instrument that would eventually observe gravitational curvatures by differential accelerometry are investigated.
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