Monodromy of Complexified Planar Kepler Problem
Shanzhong Sun, Peng You
TL;DR
This paper investigates the complexified planar Kepler problem, demonstrating that it forms a holomorphic integrable Hamiltonian system with nontrivial monodromy, revealing new geometric and dynamical properties.
Contribution
It introduces the complexification of the planar Kepler problem and proves the existence of nontrivial monodromy in this integrable system.
Findings
The complexified Kepler problem is holomorphic and completely integrable.
Nontrivial monodromy is present in this system.
The result reveals new geometric structures in classical mechanics.
Abstract
The planar Kepler problem is complexified and we show that this holomorphic completely integrable Hamiltonian system has nontrivial monodromy.
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