Rh. Sanders, THE PUBLISHED EXTENDED ROTATION CURVES OF SPIRAL GALAXIES - CONFRONTATION WITH MODIFIED DYNAMICS, The Astrophysical journal, 473(1), 1996, pp. 117-129
A sample of 22 spiral galaxy rotation curves, measured in the 21 cm li
ne of neutral hydrogen, is considered in the context of Milgrom's modi
fied dynamics (MOND). Combined with the previous, highly selected samp
le of Begeman et al., this constitutes the current total sample of gal
axies with published (or available) extended rotation curves and photo
metric observations of the light distribution. This is the observation
al basis of present quantitative understanding of the discrepancy betw
een the visible mass and classical dynamical mass in galaxies. It is f
ound that the gravitational force calculated from the observed distrib
ution of luminous material and gas by use of the simple MOND formula c
an account for the overall shape and amplitude of these 22 rotation cu
rves, and in some cases, the predicted curve agrees with the observed
rotation curve in detail. The fitted rotation curves have, in 13 cases
, only one free parameter, which is the mass-to-light ratio of the lum
inous disk; in nine cases, there is an additional free parameter, whic
h is MIL of a central bulge or light concentration. The values of the
global MIL (bulge plus disk) are reasonable and, when the gas mass is
also included, show a scatter consistent with that in the Tully-Fisher
relation. The success of the MOND prescription in predicting the rota
tion curves in this larger, less stringently selected sample lends fur
ther support to the idea that dynamics or gravity is non-Newtonian in
the limit of low acceleration and that it is unnecessary to invoke the
presence of large quantities of unseen matter.