Revisiting Johann Bernoulli's Method for the Brachistochrone Problem

Ido Braun, Joseph Ben-Asher

2021

Abstract

This paper reviews Johann Bernoulli's solution to the Brachistochrone problem, using an analogy to the movement of light and Fermat's principle of least time. Bernoulli's method is later used to derive solutions to some generalizations of the Brachistochrone problem. The problems solved using Bernoulli's method are the classical flat gravity Brachistochrone, spherical gravity outside the earth, and spherical gravity inside the earth ('gravity train').

Paper Citation

in Harvard Style

Braun I. and Ben-Asher J. (2021). Revisiting Johann Bernoulli's Method for the Brachistochrone Problem. In Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO, ISBN 978-989-758-522-7, pages 107-114. DOI: 10.5220/0010503501070114

in Bibtex Style

@conference{icinco21,
author={Ido Braun and Joseph Ben-Asher},
title={Revisiting Johann Bernoulli's Method for the Brachistochrone Problem},
booktitle={Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},
year={2021},
pages={107-114},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0010503501070114},
isbn={978-989-758-522-7},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 18th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,
TI - Revisiting Johann Bernoulli's Method for the Brachistochrone Problem
SN - 978-989-758-522-7
AU - Braun I.
AU - Ben-Asher J.
PY - 2021
SP - 107
EP - 114
DO - 10.5220/0010503501070114