Pedal Coordinates and Orbits Inside Magnetic Dipole Field

@inproceedings{78302,
   author = {Blaschke, Petr},
   address = {Cham, Switzerland},
   booktitle = {Geometric Methods in Physics XXXIX, Trends in Mathematics},
   doi = {http://dx.doi.org/10.1007/978-3-031-30284-8_14},
   editor = {Piotr Kielanowski, Alina Dobrogowska, Gerald A. Goldin, Tomasz Goliński},
   keywords = {Calculus of variation; Classical mechanics; Integrable system; Pedal coordinates; Systems of Frenet–Serret type},
   howpublished = {tištěná verze "print"},
   language = {eng},
   location = {Cham, Switzerland},
   isbn = {978-3-031-30286-2},
   pages = {147-158},
   publisher = {Birkhäuser Cham},
   title = {Pedal Coordinates and Orbits Inside Magnetic Dipole Field},
   url = {https://link.springer.com/chapter/10.1007/978-3-031-30284-8_14},
   year = {2023}
}

TY  - JOUR
ID  - 78302
AU  - Blaschke, Petr
PY  - 2023
TI  - Pedal Coordinates and Orbits Inside Magnetic Dipole Field
PB  - Birkhäuser Cham
CY  - Cham, Switzerland
SN  - 9783031302862
KW  - Calculus of variation
KW  - Classical mechanics
KW  - Integrable system
KW  - Pedal coordinates
KW  - Systems of Frenet–Serret type
UR  - https://link.springer.com/chapter/10.1007/978-3-031-30284-8_14
N2  - 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.
ER  - 

BLASCHKE, Petr. Pedal Coordinates and Orbits Inside Magnetic Dipole Field. In Piotr Kielanowski, Alina Dobrogowska, Gerald A. Goldin, Tomasz Goli\'nski. \textit{Geometric Methods in Physics XXXIX, Trends in Mathematics}. Cham, Switzerland: Birkhäuser Cham, 2023, s.~147-158. ISBN~978-3-031-30286-2. Dostupné z: https://dx.doi.org/10.1007/978-3-031-30284-8\_{}14.