Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Elliptical harmonic series and the original Stokes problem with the boundary of the reference ellipsoid
Abstract Since the earth is closer to a revolving ellipsoid than a sphere, it is very important to study directly the original model of the Stokes' BVP on the reference ellipsoid, whereΣ denotes the reference ellipsoid,γ is the Somigliana normal gravity, andh is the outer normal direction ofΣ. This paper deals with: 1) simplification of the above BVP under preserving accuracy to$$O\left( {\frac{{E^2 }}{{b^2 }}} \right)$$, 2) derivation of computational formula of the elliptical harmonic series, 3) solving the BVP by the elliptical harmonic series, and 4) providing a principle for finding the elliptical harmonic model of the earth's gravity field from the spherical harmonic coefficients ofΔg. All results given in the paper have the same accuracy as the original BVP, that is, the accuracy of the BVP is theoretically preserved in each derivation step.
Elliptical harmonic series and the original Stokes problem with the boundary of the reference ellipsoid
Abstract Since the earth is closer to a revolving ellipsoid than a sphere, it is very important to study directly the original model of the Stokes' BVP on the reference ellipsoid, whereΣ denotes the reference ellipsoid,γ is the Somigliana normal gravity, andh is the outer normal direction ofΣ. This paper deals with: 1) simplification of the above BVP under preserving accuracy to$$O\left( {\frac{{E^2 }}{{b^2 }}} \right)$$, 2) derivation of computational formula of the elliptical harmonic series, 3) solving the BVP by the elliptical harmonic series, and 4) providing a principle for finding the elliptical harmonic model of the earth's gravity field from the spherical harmonic coefficients ofΔg. All results given in the paper have the same accuracy as the original BVP, that is, the accuracy of the BVP is theoretically preserved in each derivation step.
Elliptical harmonic series and the original Stokes problem with the boundary of the reference ellipsoid
Yu, Jing-hai (Autor:in) / Cao, Hua-sheng (Autor:in)
Journal of Geodesy ; 70
1996
Aufsatz (Zeitschrift)
Englisch
BKL:
38.73
Geodäsie
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