Exact Solution of the Problem of Brachistochrone with Allowance for the Coulomb Friction Forces

IF 0.8 4区物理与天体物理 Q4 PHYSICS, APPLIED

Technical Physics Letters Pub Date : 2023-09-01 DOI:10.1134/S1063785023040016

S. O. Gladkov

引用次数: 0

Abstract

A system of differential equations describing the problem of brachistochrone with allowance for Coulomb friction forces is derived using the moving-basis method. An exact analytical solution of this system is obtained in the parametric form; a particular case of this solution in the limit \(\mu \to 0\) is transformed into the equation of classical brachistochrone.

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考虑库仑摩擦力的短谱线问题的精确解

利用移动基方法，导出了一个描述考虑库仑摩擦力的腕力时变问题的微分方程组。以参数形式得到了该系统的精确解析解；将该解在极限（μto 0\）下的一个特例转化为经典腕时方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Technical Physics Letters 物理-物理：应用

CiteScore

1.50

自引率

0.00%

发文量

审稿时长

2-4 weeks

期刊介绍： Technical Physics Letters is a companion journal to Technical Physics and offers rapid publication of developments in theoretical and experimental physics with potential technological applications. Recent emphasis has included many papers on gas lasers and on lasing in semiconductors, as well as many reports on high Tc superconductivity. The excellent coverage of plasma physics seen in the parent journal, Technical Physics, is also present here with quick communication of developments in theoretical and experimental work in all fields with probable technical applications. Topics covered are basic and applied physics; plasma physics; solid state physics; physical electronics; accelerators; microwave electron devices; holography.