Proves monotonicity of periods and rotation number in the planar Euler problem by deriving new complementary period formulae via Keplerian limit and complex analysis.
Jacobi’s lectures on dynamics
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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.