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Euler angles for a symmetric top

With the convention in which

θ

is inclination,

ϕ

is precession, and

ψ

is body-axis spin, an axisymmetric body's kinetic energy is

T = \frac{I}{2} (\dot{θ}^{2} + sin^{2} θ \dot{ϕ}^{2}) + \frac{J}{2} (\dot{ψ} + cos θ \dot{ϕ})^{2} .

Table of contents 117 4
- Heavy symmetric top Lagrangian Euler angles for a symmetric top 91 3
  - Heavy symmetric top Hamiltonian Heavy symmetric top Lagrangian 64 2
    - Heavy symmetric top reduction Heavy symmetric top Hamiltonian 51 1
      - Gyroscopic stabilization of an inverted symmetric top Heavy symmetric top reduction 29

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