Regression modelling in selenodesy

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Regression Analysis, Selenography, Lunar Gravitation, Lunar Surface, Spherical Harmonics, Surface Properties

Scientific paper

The existing models of different orders that describe surface and gravitational fields of planets contain a redundant number of members with no useful information, which makes it difficult to describe physical phenomena. The possibility of using statistical (regressive) modelling as an effective means of obtaining adequate relief and gravitational field models is considered. A concrete numerical example shows that the use of regression modelling in the task of describing the Moon surface by expansion on spherical functions permit to obtain approximate models with the harmonics less than a half in number compared to the traditional approach; the precision of "shortened" model approximations is higher or, at least, not lower than the precision description for the usual number of harmonics that correspond to the expansion order taken.

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