Table 1.
Geometric characteristics of cuspy, neutral, and cored geometries of rotation acceleration curves.
| Models | Reference radii | Accelerations | Curve segments | Signed curve area |
|---|---|---|---|---|
| Cuspy | rtot < rN |  |
𝒞+ < 𝒞− | 𝒜(𝒞)< 0 or open curve |
| Neutral | rtot = rN |  |
𝒞+ = 𝒞− | 𝒜(𝒞) = 0 |
| Cored | rtot > rN |  |
𝒞+ > 𝒞− | 𝒜(𝒞) > 0 |
| Data | ||||
| Cuspy | robs, G < rbar, G |  |
𝒞+ < 𝒞− | |
| Neutral | robs, G = rbar, G |  |
𝒞+ = 𝒞− | |
| Cored | robs, G > rbar, G |  |
𝒞+ > 𝒞− | |
Notes. Geometric characteristics of cuspy, neutral, and cored geometries of rotation acceleration curves for models (top three rows) and for data (bottom three rows) in g2 space. The characterization applies to MG and DM models alike. The reference radii rtot and rN are the radii of maximum total acceleration and maximum baryonic acceleration, as defined in Eq. (1). The reference radii robs and rbar are the analogues in the data. The curve segments 𝒞± are defined in Eq. (3).
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