Modified Newtonian dynamics in the Milky Way
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Both microlensing surveys and radio-frequency observations of gas flow imply that the inner Milky Way is completely dominated by baryons, contrary to the predictions of standard cold dark matter (CDM) cosmology. We investigate the predictions of the modified Newtonian dynamics (MOND) formula for the Galaxy given the measured baryon distribution. Satisfactory fits to the observationally determined terminal-velocity curve are obtained for different choices of MOND’s interpolating function µ(x). However, with simple analytical forms of µ(x), the local circular speed v c(R 0) can be as large as 220 km s −1 only for values of the parameter a0 that are excluded by observations of NGC 3198. Only a numerically specified interpolating function can produce v c(R 0) = 220 km s −1 , which is therefore an upper limit in MOND, while the asymptotic velocity is predicted to be v c(∞) = 170 ± 5k m s −1 . The data are probably not consistent with the functional form of µ(x) that has been explored as a toy model in the framework of Bekenstein’s covariant theory of gravity. Ke yw ords: gravitation ‐ Galaxy: kinematics and dynamics.
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Citations in the corpus
- Local-Group tests of dark-matter concordance cosmology - Towards a new paradigm for structure formation (2010, background): “…limit, i.e. when the Newtonian acceleration a is smaller than a thresholda0 (Milgrom 1983; Bekenstein & Milgrom 1984; Sanders & McGaugh 2002; Bekenstein 2004; Famaey & Binney 2005; Famaey et al. 2007; Sanders 2007, 2008; McGaugh 2008; Nipoti et al. 2008; Tiret & Combes 2008; Bruneton et al. 2009).”
- Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions (2011, methodology): “Presumably the material that was to become the Milky Way and Andromeda (M31) was initially expanding apart with the general Hubble expansion.”
- A NEW MECHANISM FOR RADIAL MIGRATION IN GALACTIC DISKS: SPIRAL–BAR RESONANCE OVERLAP (2009, background): “There are also indications from the gas flow in the inner Galaxy that the MW has stronger spiral arms, where the amplitude in the mass density is larger by a factor of 1.5 than its amplitude in the near-infrared luminosity density (see Bissantz et al. 2003; Famaey and Binney 2005).”
- Dark matter versus modifications of the gravitational inverse-square law: results from planetary motion in the Solar system (2006, methodology): “Based on a detailed study of the velocity curves of the Milky Way and galaxy NGC 3198, Famaey & Binney (2005) found out that interpolating functions which trigger a slower transition from the MONDian to the Newtonian regime should be preferred.”
- A wide-field H I mosaic of Messier 31 - II. The disk warp, rotation, and the dark matter halo (2009, methodology): “We have tested MOND for different choices of the interpolating function μ(x) (see Famaey & Binney 2005, for details).”
- NGC 3741: the dark halo profile from the most extended rotation curve (2006, background): “(9) Recently, Famaey & Binney (2005) proposed the following alternative form of μ(x), which, contrary to equation (9), Zhao & Famaey C© 2006 The Authors.”