The improvement of the convergence of the potential expansion of a planet - The radial derivative of the earth's potential and the gravity anomaly

Details The improvement of the convergence of the potential expansion of a planet - The radial derivative of the earth's potential and the gravity anomaly The improvement of the convergence of the potential expansion of a planet - The radial derivative of the earth's potential and the gravity anomaly

Apr 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987azh....64..410p&link_type=abstract

Astronomicheskii Zhurnal (ISSN 0004-6299), vol. 64, Mar.-Apr. 1987, p. 410-416. In Russian.

Astronomy and Astrophysics

Astronomy

1

Earth Gravitation, Geopotential, Gravity Anomalies, Planetary Gravitation, Convergence, Polynomials, Sequential Analysis

Scientific paper

Sequences of polynomials of spherical functions are constructed which
approximate the radial derivative of the earth's perturbing potential
and the gravity anomaly. These sequences converge more rapidly than the
sequences of partial sums of traditional expansions in solid harmonics
for these functions.

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