On a tautochrone-related family of paths
Keywords:
Analytical mechanics, Huygens's isochrone curve, Abel's mechanical problemAbstract
An alternative approach to the properties of the tautochrone and brachistochrone curves is used to introduce a family of curves complying with relations where the time of descent is proportional to a fractional power of the height difference. These curves are classified acording with their symmetries. Further properties of these curves are studied.Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2019 Revista Mexicana de Física E
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors retain copyright and grant the Revista Mexicana de Física E right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.