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Published online by Cambridge University Press: 19 May 2006
The rotation curves of spiral galaxies obey strong scaling relations.These include the Tully-Fisher and baryonic Tully-Fisher relations, and themass discrepancy–acceleration relation.These relations can be used to place constraints on the mass-to-lightratios of stars. Once the stellar mass is constrained, the distribution ofdark matter follows. The shape of the dark matter distribution is consistentwith the expectations of NFW halos exterior to 1 kpc, but the amplitudeis wrong. This is presumably related to the long-standing problemof the normalization of the Tully-Fisher relation and may imply a downturn in the amplitude of the power spectrum at small scales. More fundamentally, the persistent success of MOND remains a troubling fact.