Table 1.
Rough bounds on m2/fG.
| Bound on m2/fG | Description |
|---|---|
| ≲ 1 Mpc−2 | Galaxies, weak lensing (ab ≥ 10−13 m s−2) |
| ≲ 0.001 Mpc−2 | Galaxies, weak lensing (ab ≥ 10−15 m s−2) |
| ≳ 1 Mpc−2 | Galaxy clusters (ab ∼ 10−10.5 m s−2) |
Notes. For the bounds from galaxies, we require that galaxies with Mb = 1011 M⊙ can reproduce MOND up to a fraction δ = 10% for the accelerations ab probed by weak lensing. That is, we require that the minimum acceleration ab, min is sufficiently small for these galaxies. For the bounds for galaxy clusters, we require that a cluster with Mb = 1014 M⊙ cannot reproduce MOND to better than δ = 10% at accelerations ab a bit below the MOND acceleration scale a0. That is, we require that ab, min is sufficiently large for clusters. The bounds on m2/fG scale roughly as 
for small δ.
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