Abstract
Responses of a spherical or elliptical earth to external or surface forces are usually studied by expanding the equations of motion in spherical-harmonic functions. We found that, however, there exists a divergence problem in studying an elliptical earth by using harmonic expansion. This is true not only for a loading response, but also for all the other problems concerning an elliptical earth for high-degree solutions. The discussions here on the divergence at high degrees tell us that some problems (such as surface load and shear forces) could not be solved by using harmonic expansion, and prevent us from solving the problems by the same means again.
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