3 citations · 6 across the 14 of their papers we have counts for
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Frozen planet orbits for the -electron atom
Stefano Baranzini, Gian Marco Canneori, Susanna Terracini
We seek periodic trajectories of a system of multiple mutually repelling electrons on a half-line, with an attractive nucleus sitting at the origin. We adopt a variational viewpoin…
On the Zoll deformations of the Kepler problem
Asselle Luca, Baranzini Stefano
A celebrated result of Bertrand states that the only central force potentials on the plane with the property that all bounded orbits are periodic are the Kepler potential and the p…
Quantitative tightness for three-dimensional contact manifolds: a sub-Riemannian approach
Andrei A. Agrachev, Stefano Baranzini, Eugenio Bellini +1
Through the use of sub-Riemannian metrics we provide quantitative estimates for the maximal tight neighbourhood of a Reeb orbit on a three-dimensional contact manifold. Under appro…
Mountain pass frozen planet orbits in the helium atom model
Stefano Baranzini, Gian Marco Canneori, Susanna Terracini
We seek frozen planet orbits for the helium atom through an application of the Mountain Pass Lemma to the Lagrangian action functional. Our method applies to a wide class of gravit…