Fig. 1.

Phase-space spiral represented as a line graph, shown in solid blue. Two points, labelled A and B, are connected to the origin point via dashed black lines. Points A and B are both associated with a total vertical energy: Ez, A = w2/2 is given by the vertical velocity where the spiral passes through the Galactic mid-plane; and Ez, B = Φ(z) is given by gravitational potential at a point of the spiral with zero velocity. In the limit of high winding, the difference Ez, A − Ez, B would approach zero from above.
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