Fig. 2.

Galaxies with deviations from point symmetry. Mean velocity Ṽ(R, ϕ) as a function of the PN eccentric anomaly ϕ, folded around ϕ = π, for each radial bin of NGC 1316, NGC 2768, NGC 4472, NGC 4594, NGC 4649, and NGC 5128. The black solid line is the fitted point-symmetric rotation model. The red points are the PN positions with 0 ≤ ϕi < π; the blue points are those located at π ≤ ϕi < 2π, with their velocity changed in sign and coordinate ϕ shifted by π, i.e. V(ϕ) are compared with −V(ϕ + π). The overlap of PNe of opposite sides shows possible asymmetries in the velocity fields. NGC 2768 and NGC 4594 show localized small scale deviations from point symmetry, that do not influence the kinematic analysis. NGC 1316, NGC 4472, and NGC 5128 have non-point-symmetric velocity fields. By comparison NGC 4649 is point-symmetric.
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