Core Undertones are eigenmodes of the Earth's fluid outer core. In this reprint of the authors dissertation thesis different analytical and numerical solution routines to calculate those eigenvalues are described. An implementation of high precision computer arithmetics serves as basis for the numerical solution. .......... .......... .......... .......... .......... .......... .......... .......... .......... .......... .......... .......... .......... .......... .......... .......... .......... .......... Core Undertones nennt man die Eigenschwingungen des fl ssigen usseren Erdkerns. In diesem Nachdruck der Dissertation des Autors werden verschiedene analytische und numerische L sungsans tze zur Berechnung dieser Eigenschwingungen vorgestellt. Eine Implementierung hochgenauer Computerarithmetik dient hierbei als Basis der numerischen Simulation.
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