Statistics – Computation
Scientific paper
Apr 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987kfnt....3...54m&link_type=abstract
Kinematika i Fizika Nebesnykh Tel (ISSN 0233-7665), vol. 3, Mar.-Apr. 1987, p. 54-62. In Russian.
Statistics
Computation
Astronomical Models, Earth (Planet), Earth Gravitation, Geopotential, Potential Fields, Covariance, Harmonic Functions, Planetary Gravitation
Scientific paper
A set of harmonic functions (eccentric multipole potentials) is used for global, regional, and local gravity field approximations. Consideration is also given to radial multipole potentials (their computation, extreme properties, and zero distribution on the sphere) which are an important subset of these functions. Using the Kelvin transformation, it is shown that this set of potentials makes it possible to generate the corresponding set of covariance functions for rms collocation. The problem of the optimal use of nonorthogonal functions for the construction of mathematical field models is discussed.
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