Following the time-wise approach in the frequency domain (lumped coefficient approach) any functional of the gravitational potential can be formulated as a linear mapping from spherical harmonic spectrum to Fourier spectrum. This linear mapping is represented by transfer or sensitivity coefficients.The basic Fourier spectrum in dynamical satellite geodesy is 2-dimensional and corresponds to two space domain variables: argument of latitude and longitude of the ascending node. Since both variables are periodic, the corresponding space domain is a torus. Various advantages are associated with a torus-approach to satellite geodesy: (1) no assumption of repeat-orbit is required, (2) it combines the best features of space-wise and time-wise modelling, and (3) ascending and descending tracks are separated naturally. Furthermore, a general feature of the lumped coefficient approach is the fact that linear systems are uncorrected between the orders, leading to block-diagonality.The torus approach yields a fast and powerful data reduction strategy for the gravity field satellite missions CHAMP, GRACE and GOCE. A proof-of-concept of such data reduction is presented, in which the spherical harmonic spectrum is recovered from the GOCE-like second radial derivative V zz .
Weitere Kapitel dieses Buchs durch Wischen aufrufen
- Dynamical Satellite Geodesy on the Torus: Block-Diagonality from a Semi-Analytical Approach
- Springer Berlin Heidelberg
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