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• W3100813329 abstract "In an upcoming submission, the author and Otto van Koert show that, for low energies and arbitrary mass ratio, the spatial circular restricted three body problem (SCR3BP) admits adapted iterated planar (IP) open books. In this article, to a Reeb dynamics on an IP contact $5$-fold adapted to a IP open book, whose binding also carries an adapted planar open book, we associate a foliation of the IP contact $5$-fold by holomorphic curves. We use this foliation to induce an associated Reeb dynamics -- its holomorphic shadow -- on the moduli space of such curves (a copy of $(S^3,xi_{std})$), which is adapted to a trivial open book. Reciprocally, we show that every Reeb dynamics on $S^3$ adapted to a trivial open book arises via this construction. Combined with a result of Hryniewicz-Salomao-Wysocki, it follows that the SCR3BP, whenever the planar dynamics is dynamically convex, has an associated holomorphic shadow. We discuss properties of this correspondence, examples and dynamical applications." @default.
• W3100813329 created "2020-11-23" @default.
• W3100813329 creator A5023862743 @default.
• W3100813329 date "2020-11-12" @default.
• W3100813329 modified "2023-09-27" @default.
• W3100813329 title "Holomorphic dynamics in the spatial restricted three-body problem" @default.
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• W3100813329 hasPublicationYear "2020" @default.
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