Universität Augsburg
Institut für Mathematik

Please ask Prof. Kai Cieliebak for­ login details.

We present a variational characterization of frozen planet orbits for the helium atom. It is based based on a Levi-Civita regularization with different time reparametrizations for the two electrons and leads to nonlocal functionals. Within this variational setup, we deform the helium problem to one where the two electrons interact only by their mean values and use this to deduce the existence of frozen planet orbits.