SOME GENERALIZATIONS OF BRACHISTOCHRONE PROBLEM

Authors
PARNOVSKY AS
Citation
As. Parnovsky, SOME GENERALIZATIONS OF BRACHISTOCHRONE PROBLEM, Acta Physica Polonica. A, 93, 1998, pp. 55-64
Citations number
2
Categorie Soggetti
Physics
Journal title
Acta Physica Polonica. A → ACNP
ISSN journal
05874246
Volume
93
Year of publication
1998
Supplement
S
Pages
55 - 64
Database
ISI
SICI code
0587-4246(1998)93:<55:SGOBP>2.0.ZU;2-M
Abstract
300 years ago Johann Bernoulli solved the problem of brachistochrone ( the problem of finding the fastest travel curve's form) using the opti cal Fermat concept. In the same way we solved some generalisations of this problem. We obtained the fastest travel curve's form in a gravita tional field for a point-like mass. When moving in a uniform gravitati onal field we considered the influence of the dry friction or drag.