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Lelgemann, D.

Publications and source records attributed to Lelgemann, D..

On orbital fitting with altimeter data

Using altimeter data from a single pass, orbital fiting of these data is investigated. The stability problems of this special kind of short are method as well as the problem in the case of a mean Keplerian ellipse are discussed in detail. It is shown that short periodic perturbations can influence the size of the eccentricity of the satellite orbit computed from these data. In this way the desired result, the corrections of d zeta to the geoidal undulations, may be falsified.

Lelgemann, D.↗

On the definition of the Listing-geoid taking into consideration different height systems

An attempt is made to define the geoid on the basis of geodetic height systems determined from sea-surface topographic data. Existing height systems are corrected using sea-surface data. An equipotential surface is then chosen in such a way as to minimize the sum of the squares of the deviations from the corrected height systems. This equipotential surface is defined as the geoid. A least squares procedure is used to realize this definition.

Lelgemann, D.↗

On the recovery of gravity anomalies from high precision altimeter data

A model for the recovery of gravity anomalies from high precision altimeter data is derived which consists of small correction terms to the inverse Stokes' formula. The influence of unknown sea surface topography in the case of meandering currents such as the Gulf Stream is discussed. A formula was derived in order to estimate the accuracy of the gravity anomalies from the known accuracy of the altimeter data. It is shown that for the case of known harmonic coefficients of lower order the range of integration in Stokes inverse formula can be reduced very much.

Lelgemann, D.↗

Some problems concerned with the geodetic use of high precision altimeter data

The definition of the geoid in view of different height systems is discussed. A definition is suggested which makes it possible to take into account the influence of the unknown corrections to the various height systems on the solution of Stokes' problem. A solution to Stokes' problem with an accuracy of 10 cm is derived which allows the inclusion of the results of satellite geodesy. In addition equations are developed for the determination of spherical harmonies using altimeter measurements. The influence of the ellipticity of the reference surface is considered.

Lelgemann, D.↗