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Annals of Mathematics and Physics

    Abstract

    Open Access Research Article Article ID: AMP-7-216

    Vibration eigenfrequencies of an elastic sphere with large radius

    Bogdan Felix Apostol*

    An estimation is given for the free vibration eigenfrequencies (normal modes) of a homogeneous solid sphere with a large radius, with application to Earth's free vibrations. The free vibration eigenfrequencies of a fluid sphere are also derived as a particular case. Various corrections arising from static and dynamic gravitation, rotation, and inhomegeneities are estimated, and a tentative notion of an earthquake temperature is introduced.

    Keywords:

    Published on: May 7, 2024 Pages: 138-147

    Full Text PDF Full Text HTML DOI: 10.17352/amp.000116
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