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arXiv · 1404.2490

Avoiding collisions under topological constraints in variational problems coming from celestial mechanics

Nicola Soave·Susanna Terracini
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Abstract

In a singular potential setting, we generalize a method which allows to show that minimizers under topological constraints of the action functional (or of the Maupertuis') are collision-free. This methods applies to $3$-dimensional problems of celestial mechanics exhibiting a particular cylindrical symmetry, as well as to planar problems of $N$-centre type, where it gives optimal results.

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Nicola Soave, Susanna Terracini. 2014-04-09. Avoiding collisions under topological constraints in variational problems coming from celestial mechanics. https://arxiv.org/abs/1404.2490

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