Generalization of Laplace's expansion to the earth's surface

Physics

Scientific paper

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Celestial Geodesy, Earth Surface, Geopotential, Gravimetry, Laplace Equation, Satellite Observation, Spherical Harmonics, Chebyshev Approximation, Convergence, Expansion

Scientific paper

The external expansion of the earth's potential V in spherical harmonics is generalized to the earth's surface. Some additional expansions are also proposed which represent the potential of a finite body practically in the whole space. The series developed can be used for the combined evaluation of the earth's potential from both satellite and gravimetric measurements.

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