Abstract
The classical definition of the geoid is exposed first. Then its tie to the Cauchy problem with initial conditions on a spacelike surface is discussed. In this connection an example shows a process indicating a maximum mass concentration which generates an approximation of the external gravity potential. Finally, the D’Alembert and Euler’s spatial equation for density is expressed within Truesdell’s concepts and related to the temporal deformation of the Earth.
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Holota, P. (1997). Geoid, Cauchy’s Problem and Displacement. In: Segawa, J., Fujimoto, H., Okubo, S. (eds) Gravity, Geoid and Marine Geodesy. International Association of Geodesy Symposia, vol 117. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-03482-8_50
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DOI: https://doi.org/10.1007/978-3-662-03482-8_50
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