Astronomical School’s Report, 2000, Volume 1, Issue 1, Pages 86–89

https://doi.org/10.18372/2411-6602.01.1086
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UDC UDC 521; 528

A special solution of the Laplace equation and the vase functions for the description of the planet's gravitational field

Fotza R., Abrikosov O.

State University "Lviv Polytechnic", Ukraine

Abstract

A set of linear harmonic Junctions was obtained as a special solution of the Laplace equation and was used as a basis of the non-orthogonal functions for approximation of the gravitational potential Maxwell method was applied to the construction of such a set of the linear harmonic functions. Resulting formulas were obtained in the form of the finite sums that provides the practical constructions of a new set of linear harmonic functions for global and regional gravity field description.

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