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Jordi-Lluís Figueras: On the stability of the planar Sun-Jupiter-Saturn

Tid: To 2025-02-13 kl 15.15

Plats: Room 3721, Lindstedtsvägen 25

Medverkande: Jordi-Lluís Figueras (Uppsala)

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Abstract: In this talk I will introduce the (planetary) N-body problem and briefly discuss its historical background: From Ptolemy, Copernicus, Kepler and Tycho Brahe to Newton; from Laplace, Euler and Lagrange, to Mittag-Leffler and Poincaré, ending up with Kolmogorov, Arnold and Moser. Then I will move to discuss the stability problem of our Solar system and, in particular, the Sun-Jupiter-Saturn. Is it stable? Do the planets orbit around the Sun in a (quasi)periodic fashion?