Global point-mass adjustment of the oceanic geoid based on satellite altimetry
Titel:
Global point-mass adjustment of the oceanic geoid based on satellite altimetry
Auteur:
Blaha, Georges Bessette, Robert P. Hadgigeorge, George
Verschenen in:
Marine geodesy
Paginering:
Jaargang 10 (1986) nr. 2 pagina's 97-129
Jaar:
1986
Inhoud:
Altimeter residuals from a global spherical-harmonic adjustment of satellite altimetry can be used as observations in a subsequent, or second-phase, adjustment of a short-wavelength oceanic geoid in terms of point-mass magnitudes as parameters. An important part of the development presented is the formulation of the second-phase adjustment via a banded or a banded-bordered system of normal equations. This task encompasses three separate features: (1) elimination of the point masses from an observation equation if they are sufficiently far from the pertinent observation point, (2) special arrangement of the point-mass parameters in the adjustment scheme, and (3) resolution of the resulting system through an adaptation of the well-known Choleski algorithm. If only the point-mass magnitudes are subject to adjustment, one is concerned with a banded system of normal equations. If selected tidal parameters are also implicated, this system becomes banded-bordered. In fact, the former is a special case of the latter in every respect. By virtue of this approach (with or without tidal parameters), geoid undulations over large ocean basins can be adjusted in a few overlapping strips of point masses, leading to a detailed resolution of the entire oceanic geoid.