XXXIX Workshop on Geometric Methods in Physics | 19.06–25.06.2022 |
XI School on Geometry and Physics | 27.06–1.07.2022 |
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Petr BlaschkePedal coordinates, solar sail orbits and other force problemsPedal 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. |
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University of Bialystok |