ISSN:
1573-1626
Keywords:
the geoid
;
ellipsoidal harmonics
;
the first eccentricity
;
addition theorem
Source:
Springer Online Journal Archives 1860-2000
Topics:
Architecture, Civil Engineering, Surveying
,
Geosciences
,
Physics
Notes:
Abstract We have constructed Green's function to Stokes's boundary-value problem with the gravity data distributed over an ellipsoid of revolution. We show that the problem has a unique solution provided that the first eccentricity e0 of the ellipsoid of revolution is less than 0·65041. The ellipsoidal Stokes function describing the effect of ellipticity of the boundary is expressed in the $$O(e_0^2 )$$ E-approximation as a finite sum of elementary functions which describe analytically the behaviour of the ellipsoidal Stokes function at the singular point ψ = 0. We prove that the degree of singularity of the ellipsoidal Stokes function in the vicinity of its singular point is the same as that of the spherical Stokes function.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1023380427166
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