Mi. 10.07.2013, Oberseminar Geomathematik

Multiscale Regularization of Tensorial Satellite Gravity Gradiometry , Dr. Helga Nutz (TU Kaiserslautern) Zeit: 14:30 Uhr, Raum: ENC B-205

Oberseminar Geomathematik
       

Multiscale Regularization of Tensorial Satellite Gravity Gradiometry

am Mittwoch, den 19. 07. 2013, Beginn: 14:30, Raum: ENC-B 205,

Referent: Dr. Helga Nutz (TU Kaiserslautern)

Abstract: In case of satellite gravity gradiometry (SGG) we have to deal mathematically with second
order derivatives, preferably with the whole Hesse tensor, of the gravitational potential
given at satellite’s hight. Since satellite gradiometer measurements are taken in the in-
terior of the harmonicity domain of the Earth’s potential, the gradiometer problem of
determining the external Earth’s gravitational potential from second derivatives at satel-
lite height is ill–posed. Hence, regularization techniques have to be applied to its solution.
A tree algorithm based on spline approximation for regularization is proposed in terms
of multiscale decorrelations of the potential starting from a “read in” process at highest
level and followed by certain recursions for the subsequent lower levels.