Proves monotonicity of periods and rotation number in the planar Euler problem by deriving new complementary period formulae via Keplerian limit and complex analysis.
Niederman, Exponential stability for small perturbations of steep integrable H amiltonian systems, Ergodic Theory Dynam
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Proof of a conjecture by H. Dullin and R. Montgomery
Proves monotonicity of periods and rotation number in the planar Euler problem by deriving new complementary period formulae via Keplerian limit and complex analysis.