LES: Tamás Görbe

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When?
October 5, 2022 5:00 PM
Where?
BB 5161.0105

What?

400 years have passed since Kepler discovered the laws of planetary motion based on Brahe's astronomical observations. But how do elliptic orbits follow from Newton's law of universal gravitation? For what kind of forces will the line segment joining a planet and the Sun sweep out equal areas during equal intervals of time? Is it really true that the cube of the mean distances of the planets from the Sun are proportional to the squares of their orbital periods? And what is the hidden symmetry underlying the solvability of the Kepler problem? In this talk, we answer these questions using geometric arguments, which require little preliminary knowledge.

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