BLASCHKE, Petr. Pedal Coordinates and Orbits Inside Magnetic Dipole Field. In Piotr Kielanowski, Alina Dobrogowska, Gerald A. Goldin, Tomasz Goliński. Geometric Methods in Physics XXXIX, Trends in Mathematics. Cham, Switzerland: Birkhäuser Cham, 2023, p. 147-158. ISBN 978-3-031-30286-2. Available from: https://dx.doi.org/10.1007/978-3-031-30284-8_14. |
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@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, p.~147-158. ISBN~978-3-031-30286-2. Available from: https://dx.doi.org/10.1007/978-3-031-30284-8\_{}14.
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