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
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"
RIV identification code
RIV/47813059:19610/23:A0000126
Organization unit
Mathematical Institute in Opava
Keywords in English
Calculus of variation; Classical mechanics; Integrable system; Pedal coordinates; Systems of Frenet–Serret type
Tags
International impact, Reviewed
Links
GA21-27941S, research and development project.
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