Abstract

MUNOZ, R.  and  FERNANDEZ-ANAYA, G. On a tautochrone-related family of paths. Rev. mex. fís. E [online]. 2010, vol.56, n.2, pp. 227-233. ISSN 1870-3542.

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.

Keywords : Analytical mechanics; Huygens's isochrone curve; Abel's mechanical problem.