Abstract
Determination of the main covariance function (MCF), which is the covariance function (CF) of the disturbing potential T (Moritz, 1980) is the principal problem in the frame of least-squares collocation that is one the main methods for Earth gravity field investigations. Traditionally in global gravity field investigations the MCF is represented by a reasonably simple analytical expression (Moritz, 1982; Hauck and Lelgemann, 1985; Tscherning and Rapp, 1974), possible jointly with the part of the spherical harmonic series up to an appropriate degree.
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References
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Marchenko, A., Abrikosov, O. (1995). Covariance Functions Set Derived from Radial Multipoles Potentials: Theory and Some Results for Regional Gravity Field in Central Europe. In: Sünkel, H., Marson, I. (eds) Gravity and Geoid. International Association of Geodesy Symposia, vol 113. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79721-7_31
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DOI: https://doi.org/10.1007/978-3-642-79721-7_31
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