Evaluation of New MOND Interpolating Function with Rotation Curves of Galaxies

Abstract. The rotation curves of a sample of 46 lowand high-surface brightness galaxies are considered in the context of Milgrom’s modified dynamics (MOND) to test a new interpolating function proposed by Zhao et al. (2010) [1] and compare with the results of simple interpolating function. The predicted rotation curves are calculated from the total baryonic matter based on the B-band surface photometry, and the observed distribution of neutral hydrogen, in which the one adjustable parameter is the stellar mass-to-light ratio. The predicted rotation curves generally agree with the observed curves for both interpolating functions. We show that the fitted M/L in the B-band correlates with B-V color in the sense expected from what we know about stellar population synthesis models. Moreover, the mass-to-light ratios of MOND with new interpolating function is in consistent with scaled Salpeter’s initial mass function of the SPS scheme, while those of MOND with simple interpolating function favor Kroupa IMF.