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Fig. 3

image

Required value of A0 according to the EMOND formalism (Eq. (18)) such that predicted gravitational acceleration from EMOND matches the dynamically calculated acceleration (Eq. (12)) for each cluster in the sample (thin lines). We plotted this required A0 against the NFW gravitational potential as a estimation of the behaviour within the cluster. The shape takes the form of an exponential function overplotted in red and described by Eq. (19). Also plotted in blue is the more complicated A0 function described by Eq. (20) with a parameter choice, Φ0 = −2 700 0002 m2 s-2 and A0max = 80a0. Note the apparent turnover of A0 at the deepest potential is an artefact because the total gravitational potential is not just that of an NFW profile as assumed here.

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