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Table 2

Some kinematic observables of the Galaxy are analytically related to the potential cases arising from the conditions of consistency for mixtures.

Flat velocity distribution
Observables Axisymmetric general case
Non-separable Quasi-stationary Separable, k1 ≠ k3

Velocity ellipsoid semiaxes unconstrained unconstrained unconstrained

Mean velocity differences

Vertex deviation ε = ε′ = ε″ = 0 ε = ε′ = ε″ = 0 ε ≠ 0;ε′ = ε″ = 0 ε ≠ 0;ε′ = ε″ = 0

Tilt δ = δ′ = δ δ = δ′ = δ″ = 0 δ = δ′ = δ″ = 0 unconstrained

sign(μϖz) sign(z) sign(z) sign(z) unconstrained

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