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Heavy symmetric top reduction

Fixing the cyclic momenta

p_{ψ} = λ

and

p_{ϕ} = μ

leaves the canonical pair

(θ, p_{θ})

and a one-degree-of-freedom Hamiltonian with effective potential

V_{λ, μ} (θ) = \frac{( μ - λ c o s θ ) ^{2}}{2 I s i n ^{2} θ} + \frac{λ ^{2}}{2 J} + M g a cos θ .

Table of contents 51 1
- Gyroscopic stabilization of an inverted symmetric top Heavy symmetric top reduction 29

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