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| Content Provider | Springer Nature Link |
|---|---|
| Author | Martinec, Z. Grafarend, E. W. |
| Copyright Year | 1997 |
| 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 e$_{0}$ 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. |
| Starting Page | 103 |
| Ending Page | 129 |
| Page Count | 27 |
| File Format | |
| ISSN | 00393169 |
| Journal | Studia Geophysica et Geodaetica |
| Volume Number | 41 |
| Issue Number | 2 |
| e-ISSN | 15731626 |
| Language | English |
| Publisher | Kluwer Academic Publishers-Plenum Publishers |
| Publisher Date | 1997-01-01 |
| Publisher Place | New York |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Structural Geology Geophysics/Geodesy Meteorology/Climatology |
| Content Type | Text |
| Resource Type | Article |
| Subject | Geochemistry and Petrology Geophysics |
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