D 2023

Pedal Coordinates and Orbits Inside Magnetic Dipole Field

BLASCHKE, Petr

Basic information

Original name

Pedal Coordinates and Orbits Inside Magnetic Dipole Field

Authors

BLASCHKE, Petr (203 Czech Republic, guarantor, belonging to the institution)

Edition

Cham, Switzerland, Geometric Methods in Physics XXXIX, Trends in Mathematics, p. 147-158, 12 pp. 2023

Publisher

Birkhäuser Cham

Other information

Language

English

Type of outcome

Stať ve sborníku

Field of Study

10101 Pure mathematics

Country of publisher

Switzerland

Confidentiality degree

není předmětem státního či obchodního tajemství

Publication form

printed version "print"

References:

Geometric Methods in Physics XXXIX

RIV identification code

RIV/47813059:19610/23:A0000126

Organization unit

Mathematical Institute in Opava

ISBN

978-3-031-30286-2

ISSN

DOI

http://dx.doi.org/10.1007/978-3-031-30284-8_14

Keywords in English

Calculus of variation; Classical mechanics; Integrable system; Pedal coordinates; Systems of Frenet–Serret type

Tags

Tags

International impact, Reviewed

Links

GA21-27941S, research and development project.
Změněno: 27/3/2024 15:00, Mgr. Aleš Ryšavý

Abstract

V originále

We will compare two different techniques to solve a problem of motion of a charged particle inside magnetic dipole field. One “classical” and the other using pedal coordinates. We will show that even though the classical approach gives an exact solution in terms of known function, pedal coordinates offer much better understanding of the solution and also offer a mean to manipulate the obtained orbits in order to be able to link them with existing curves and other force problems.
Displayed: 3/11/2024 14:16