On a tautochrone-related family of paths
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 symmetrie...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2010 |
| País: | México |
| Institución: | Universidad Iberoamericana |
| Repositorio: | Redalyc-UIA |
| OAI Identifier: | oai:redalyc.org:57048175010 |
| Acceso en línea: | https://www.redalyc.org/articulo.oa?id=57048175010 |
| Access Level: | acceso abierto |
| Palabra clave: | Física, Astronomía y Matemáticas Analytical mechanics Huygens’s isochrone curve Abel’s mechanical problem |
| Sumario: | 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. |
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