Altimetry-Gravimetry Problem: An Example
The topographic surface of the sea can be determined by subtracting the geoid from the geometric height of the stationary sea surface. This latter can be obtained from altimetry measurements; the former can be derived from marine gravity measurements, treated in the form of gravity disturbances.
When a closed sea is treated, the gravity anomalies on land must be combined to the gravity disturbances to give the so called altimetry gravimetry problem, which in spherical approximation is translated into a suitable integral equation.
A relatively small set of data of this type in the Mediterranean Sea is used as an example.
The aim is to compare this procedure with a classical collocation solution: this has been done specifically on the land area. Since the same corrections (e.g. topographic corrections) apply to both methods, the comparison has been performed only for the part of the signal which is usually estimated by collocation and in particular Bouguer anomalies on land have been utilized as input data.
KeywordsGravity Anomaly Bouguer Anomaly Geoid Height Gravity Disturbance Topographic Correction
Unable to display preview. Download preview PDF.
- Arabelos D. (1988): Private comunications.Google Scholar
- Holota P. (1982): A Contribution to Mixed Boundary Problems, Int. Symp. Current Methods in Geodesy and Astronomy, Leningrad.Google Scholar
- Sacerdote F., Sansò F. (1987): New Developments of Boundary Value Problems in Physical Geodesy, Proc. of the IAG Symposia, IUGG XIX General Assembly, Vancouver, Tome II, pp. 369–390.Google Scholar
- Sansò F., Stock B. (1985): A Numerical Experiment in the AltimetryGravimetry Problem II, Manuscripta Geodaetica, n. 10, pp. 23–31.Google Scholar
- Schrama E.J.O. (1989): The Role of Orbit Error in Processing of Satellite Altimeter Data, Netherlands Geodetic Commission, Pubblications on Geodesy, n. 33.Google Scholar
- Tscherning C.C. (1984): Local Approximation of the Gravity Potential Least-Squares Collocation, Proc. of the Beijing International Summer School on “Local Gravity Field Approximation”, Beijing, pp. 277–362.Google Scholar
- Wentzel H.G. (1985): Hochauflöesende Kugelkunktionsmodelle für das Gravitationspotential der Erde, Wiss. Arb. der Fachrichtung Vermessungswesen de Universitat Hannover, Hannover, n. 137.Google Scholar