Computation of Geopotential Coefficients from Gravity Anomalies on the Ellipsoid
One of the most important stages in the computation of a global geopotential model is the computation of the spherical harmonic coefficients from gravity anomalies on the normal ellipsoid. None of the existing methods provides an exact solution, and all show severe shortcomings in the high degrees o...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Conference Paper |
| Published: |
Springer
2005
|
| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/26541 |
| _version_ | 1848752016068706304 |
|---|---|
| author | Claessens, Sten Featherstone, Will |
| author2 | Fernando Sanso |
| author_facet | Fernando Sanso Claessens, Sten Featherstone, Will |
| author_sort | Claessens, Sten |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | One of the most important stages in the computation of a global geopotential model is the computation of the spherical harmonic coefficients from gravity anomalies on the normal ellipsoid. None of the existing methods provides an exact solution, and all show severe shortcomings in the high degrees of the spectrum. In this paper, a new, theoretically exact method is proposed, which is moreover easily applicable up to very high degree and order (2160 and beyond). The solution of the geopotential coefficients is presented as a weighted sum over 'spherically approximated' coefficients of equal order, where the gravity anomalies are presumed to reside on a sphere.The weights depend solely upon the degree and order of the coefficient and the definition of the normal ellipsoid and its gravity field. Numerical comparisons with existing methods show substantial differences, especially in the high degrees, which can be explained by the fact that all previous methods are of limited accuracy. |
| first_indexed | 2025-11-14T08:01:55Z |
| format | Conference Paper |
| id | curtin-20.500.11937-26541 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:01:55Z |
| publishDate | 2005 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-265412017-10-02T02:27:48Z Computation of Geopotential Coefficients from Gravity Anomalies on the Ellipsoid Claessens, Sten Featherstone, Will Fernando Sanso geopotential models spherical harmonics ellipsoidal boundary value problem One of the most important stages in the computation of a global geopotential model is the computation of the spherical harmonic coefficients from gravity anomalies on the normal ellipsoid. None of the existing methods provides an exact solution, and all show severe shortcomings in the high degrees of the spectrum. In this paper, a new, theoretically exact method is proposed, which is moreover easily applicable up to very high degree and order (2160 and beyond). The solution of the geopotential coefficients is presented as a weighted sum over 'spherically approximated' coefficients of equal order, where the gravity anomalies are presumed to reside on a sphere.The weights depend solely upon the degree and order of the coefficient and the definition of the normal ellipsoid and its gravity field. Numerical comparisons with existing methods show substantial differences, especially in the high degrees, which can be explained by the fact that all previous methods are of limited accuracy. 2005 Conference Paper http://hdl.handle.net/20.500.11937/26541 Springer restricted |
| spellingShingle | geopotential models spherical harmonics ellipsoidal boundary value problem Claessens, Sten Featherstone, Will Computation of Geopotential Coefficients from Gravity Anomalies on the Ellipsoid |
| title | Computation of Geopotential Coefficients from Gravity Anomalies on the Ellipsoid |
| title_full | Computation of Geopotential Coefficients from Gravity Anomalies on the Ellipsoid |
| title_fullStr | Computation of Geopotential Coefficients from Gravity Anomalies on the Ellipsoid |
| title_full_unstemmed | Computation of Geopotential Coefficients from Gravity Anomalies on the Ellipsoid |
| title_short | Computation of Geopotential Coefficients from Gravity Anomalies on the Ellipsoid |
| title_sort | computation of geopotential coefficients from gravity anomalies on the ellipsoid |
| topic | geopotential models spherical harmonics ellipsoidal boundary value problem |
| url | http://hdl.handle.net/20.500.11937/26541 |