Multipole representation of the basic features of the geoid figure

Details Multipole representation of the basic features of the geoid figure Multipole representation of the basic features of the geoid figure

Jun 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gekar.......14m&link_type=abstract

Geodeziia i Kartografiia, June 1976, p. 14-24. In Russian.

Physics

Geodesy, Geoids, Geopotential, Mascons, Multipoles, Earth Surface, Planetary Mass, Quadrupoles, Satellite Observation, Spherical Harmonics

Scientific paper

A multipole representation of planetary geopotential is used to examine the geoid figure of the earth. In this approach, using a Maxwell representation of the spherical functions of geopotential, the quadrupole and octapole are used as auxiliary constructions to describe the geoid figure on a global scale. The quadrupole defines an earth figure which is close to a three-axis ellipsoid, while the octapole describes the eight major undulations of the surface of this ellipsoid. These undulations correspond to the eight charges of the octapole the main global inhomogeneities of planetary mass (mascons) in their generalized form.

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