XXXIX Workshop on Geometric Methods in Physics 19.06–25.06.2022
XI School on Geometry and Physics 27.06–1.07.2022
In order to secure the right conditions for our Workshop we have decided to exceptionally move (only for this year's meeting) the site of our Workshop to the campus of our University in Białystok.

Petr Blaschke


Pedal coordinates, solar sail orbits and other force problems


Pedal coordinates provide a natural framework for studying force problems of classical mechanics in the plane. The trajectory of a test particle under the influence of central and Lorentz-like forces can be translated into pedal coordinates at once without the need of solving any differential equation. We generalize this result to cover more general force laws and also show the advantage of pedal coordinates in certain variational problems. These enable us to link together many dynamical systems as well as problems of the calculus of variation.







Event sponsored by:
University
of Bialystok
University of Bialystok






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