Open AccessOn the calculation of low‐frequency oscillations of the Earth's core
Author(s) -
Diakonov Sergei
Publication year - 1991
Publication title -
geophysical journal international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.302
H-Index - 168
eISSN - 1365-246X
pISSN - 0956-540X
DOI - 10.1111/j.1365-246x.1991.tb00826.x
Subject(s) - nutation , compressibility , operator (biology) , amplitude , mathematical analysis , convergence (economics) , physics , mathematics , compressible flow , ideal (ethics) , classical mechanics , geophysics , mechanics , optics , quantum mechanics , biochemistry , chemistry , epistemology , philosophy , repressor , transcription factor , economics , gene , economic growth
SUMMARY The problem of calculation of low‐frequency oscillations of an ideal rotating compressible fluid is investigated. An original method of solving such a problem based on using characteristic functions of the Poincaré operator is proposed. An efficient scheme of calculation of characteristic numbers and functions of the Poincaré operator is derived. A high rate of convergence of the method is shown. The liquid compressibility is found to have an essential influence on the theoretical nutation amplitude.