On Angular Momentum - E/j - for General Steady States

Mathematics – Dynamical Systems

Scientific paper

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Scientific paper

For barotropic fluids and stellar dynamical systems the energy, E, is stationary in steady states at fixed angular momentum. When the angular momentum is changed keeping the circulations fixed, ∂E/∂J = Ωp the angular velocity with which the figure or pattern rotates. This result is true even for complicated flows where no definite rotation can be defined for the fluid itself.

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