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

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

Mar 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977bgeod..51...53p&link_type=abstract

Bulletin Geodesique, vol. 51, no. 1, 1977, p. 53-62.

Physics

1

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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