Reproducing kernel for the exterior of an ellipsoid and its use for generating function bases in gravity field studies

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00025615%3A_____%2F12%3A%230001836" target="_blank" >RIV/00025615:_____/12:#0001836 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Reproducing kernel for the exterior of an ellipsoid and its use for generating function bases in gravity field studies
Original language description
In gravity field studies linear combinations of basis functions are often used to approximate the gravitational potential of the Earth or its disturbing part. The problem is interpreted for the exterior of a sphere or an oblate ellipsoid of revolution. As a rule, spherical or ellipsoidal harmonics are used as basis functions within this concept. The second case is less frequent, but is stimulated by a number of driving impulses. In general its investigation and possibilities for routine implementation are given a considerable attention. As known basis functions like spherical or ellipsoidal harmonics are frequency localized. Alternatively, our aim is to study the use of space localize basis functions. We focus on basis functions generated by means of the reproducing kernel in the respective Hilbert space. The use of the reproducing kernel offers a straightforward way leading to entries in Galekin?s matrix of the linear system for unknown scalar coefficients. In spherical case the probl
Czech name
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Czech description
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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

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