The Conley–Zehnder indices of the rotating Kepler problem
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Publication:4911178
DOI10.1017/S0305004112000515zbMATH Open1359.70076arXiv1201.2032OpenAlexW2149554838MaRDI QIDQ4911178
Author name not available (Why is that?)
Publication date: 14 March 2013
Published in: (Search for Journal in Brave)
Abstract: We determine the Conley-Zehnder indices of all periodic orbits of the rotating Kepler problem for energies below the critical Jacobi energy. Consequently, we show the universal cover of the bounded component of the regularized energy hypersurface is dynamically convex. Moreover, in the universal cover there is always precisely one periodic orbit with Conley-Zehnder index 3, namely the lift of the doubly covered retrograde circular orbit.
Full work available at URL: https://arxiv.org/abs/1201.2032
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