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The anisosphere as a new tool for interpreting Foucault pendulum experiments. Part I : harmonic oscillators

Verreault René. (2017). The anisosphere as a new tool for interpreting Foucault pendulum experiments. Part I : harmonic oscillators. The European Physical Journal Applied Physics, 79, (3), p. 1-16.

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URL officielle: https://dx.doi.org/doi:10.1051/epjap/2017160337

Résumé

In an attempt to explain the tendency of Foucault pendula to develop elliptical orbits, Kamerlingh Onnes derived equations of motion that suggest the use of great circles on a spherical surface as a graphical illustration for an anisotropic bi-dimensional harmonic oscillator, although he did not himself exploit the idea any further. The concept of anisosphere is introduced in this work as a new means of interpreting pendulum motion. It can be generalized to the case of any two-dimensional (2-D) oscillating system, linear or nonlinear, including the case where coupling between the 2 degrees of freedom is present. Earlier pendulum experiments in the literature are revisited and reanalyzed as a test for the anisosphere approach. While that graphical method can be applied to strongly nonlinear cases with great simplicity, this part I is illustrated through a revisit of Kamerlingh Onnes’ dissertation, where a high performance pendulum skillfully emulates a 2-D harmonic oscillator. Anisotropy due to damping is also described. A novel experiment strategy based on the anisosphere approach is proposed. Finally, recent original results with a long pendulum using an electronic recording alidade are presented. A gain in precision over traditional methods by 2–3 orders of magnitude is achieved.

Type de document:Article publié dans une revue avec comité d'évaluation
ISSN:1286-0042
Volume:79
Numéro:3
Pages:p. 1-16
Version évaluée par les pairs:Oui
Date:2017
Identifiant unique:10.1051/epjap/2017160337
Sujets:Sciences naturelles et génie > Sciences naturelles > Astronomie et astrophysique
Sciences naturelles et génie > Sciences naturelles > Physique
Département, module, service et unité de recherche:Départements et modules > Département des sciences fondamentales
Mots-clés:Foucault pendulum, anisotropy, bi-dimensional harmonic oscillator, anisosphere model
Informations complémentaires:15th International Symposium on High Pressure Low Temperature Plasma Chemistry (HAKONE), Brno, Czech Republic, 11-16 september 2016
Déposé le:15 mai 2020 12:56
Dernière modification:15 mai 2020 12:56
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