Open AccessOn the spherical geopotential approximation for Saturn
Author(s) -
Susanna V. Haziot
Publication year - 2022
Publication title -
communications on pure and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.077
H-Index - 42
eISSN - 1553-5258
pISSN - 1534-0392
DOI - 10.3934/cpaa.2022035
Subject(s) - saturn , geopotential , geopotential height , planet , diffeomorphism , physics , dwarf planet , mathematics , mathematical analysis , astronomy , meteorology , geophysics , precipitation
In this paper, we show by means of a diffeomorphism that when approximating the planet Saturn by a sphere, the errors associated with the spherical geopotential approximation are so significant that this approach is rendered unsuitable for any rigorous mathematical analysis.