Milky Way Mass Models and MOND

Abstract

Using the Tuorla-Heidelberg model for the mass distribution of the Milky Way, I determine the rotation curve predicted by MOND. The result is in good agreement with the observed terminal velocities interior to the solar radius and with estimates of the Galaxy's rotation curve exterior thereto. There are no fit parameters: given the mass distribution, MOND provides a good match to the rotation curve. The Tuorla-Heidelberg model does allow for a variety of exponential scale lengths; MOND prefers short scale lengths in the range 2.0 to 2.5 kpc. The favored value of scale length depends somewhat on the choice of interpolation function. There is some preference for the `simple' interpolation function as found by Famaey & Binney. I introduce an interpolation function that shares the advantages of the simple function on galaxy scales while having a much smaller impact in the solar system. I also solve the inverse problem, inferring the surface mass density distribution of the Milky Way from the terminal velocities. The result is a Galaxy with `bumps and wiggles' in both its luminosity profile and rotation curve that are reminiscent of those frequently observed in external galaxies.

Accepted for publication in the Astrophysical Journal. 31 pages including 8 figures and 3 tables

References in corpus (36)

• A direct empirical proof of the existence of dark matter
• On the mass-to-light ratio of the local Galactic disc and the optical luminosity of the Galaxy
• The Milky Way: An Exceptionally Quiet Galaxy; Implications for the formation of spiral galaxies
• The speed of the `bullet' in the merging galaxy cluster 1E0657-56
• Dynamical Blueprints for Galaxies
• Dark matter in the Milky Way, II. the HI gas distribution as a tracer of the gravitational potential
• On the Proof of Dark Matter, the Law of Gravity and the Mass of Neutrinos
• The mass distribution in early-type disk galaxies: declining rotation curves and correlations with optical properties
• Discovery of a Ringlike Dark Matter Structure in the Core of the Galaxy Cluster Cl 0024+17
• Missing Mass in Collisional Debris from Galaxies
• High Resolution Optical Velocity Fields of 11 Low Surface Brightness Galaxies
• Tidal dwarf galaxies as a test of fundamental physics
• Dark matter vs. modifications of the gravitational inverse-square law. Results from planetary motion in the solar system
• The modified Newtonian dynamics-MOND-and its implications for new physics
• Refining MOND interpolating function and TeVeS Lagrangian
• Confrontation of MOND with the rotation curves of early-type disc galaxies
• Tracing the long bar with red-clump giants
• Milky Way Kinematics: Measurements at the Subcentral Point of the Fourth Quadrant
• X-ray Group and cluster mass profiles in MOND: Unexplained mass on the group scale
• Evolution of spiral galaxies in modified gravity
• The Rotation Velocity Attributable to Dark Matter at Intermediate Radii in Disk Galaxies
• Milky Way potentials in CDM and MOND. Is the Large Magellanic Cloud on a bound orbit?
• Escaping from MOND
• How Rare is the Bullet Cluster?
• Revisiting the Baryon Fractions of Galaxy Clusters: A Comparison with WMAP 3-year Results
• Rings and shells of "dark matter" as MOND artifacts
• The Cluster-Merger Shock in 1E 0657-56: Faster than the Speeding Bullet?
• Modelling the Pioneer anomaly as modified inertia
• Vertical dynamics of disk galaxies in MOND
• Molecular Gas, Kinematics, and OB Star Formation in the Spiral Arms of the Southern Milky Way
• MOND and the mass discrepancies in tidal dwarf galaxies
• The collision velocity of the bullet cluster in conventional and modified dynamics
• Testing Gravity in the Outer Solar System: Results from Trans-Neptunian Objects
• Back-in-time dynamics of the cluster IE 0657-56 (the Bullet System)
• The thickness of HI in galactic discs under MOND: theory and application to the Galaxy
• Mass Distribution and Bulge Formation in the Milky Way Galaxy

Cited by in corpus (76)

• Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions
• The Radial Acceleration Relation in Rotationally Supported Galaxies
• One Law To Rule Them All: The Radial Acceleration Relation of Galaxies
• The Baryon Content of Cosmic Structures
• Color--Mass-to-Light Ratio Relations for Disk Galaxies
• Local-Group tests of dark-matter Concordance Cosmology: Towards a new paradigm for structure formation
• THINGS about MOND
• Weighing Galaxy Disks with the Baryonic Tully-Fisher Relation
• Local Group Dwarf Spheroidals: Correlated Deviations from the Baryonic Tully-Fisher Relation
• A Tale of Two Paradigms: the Mutual Incommensurability of LCDM and MOND
• Are sterile neutrinos consistent with clusters, the CMB and MOND?
• Gas dynamics in tidal dwarf galaxies: disc formation at z=0
• Dark matters on the scale of galaxies
• The new Milky Way satellites: alignment with the VPOS and predictions for proper motions and velocity dispersions
• Testing Modified Newtonian Dynamics with Rotation Curves of Dwarf and Low Surface Brightness Galaxies
• Predictions and Outcomes for the Dynamics of Rotating Galaxies
• MOND simulation suggests the origin of some peculiarities in the Local Group
• Cosmological equivalence principle and the weak-field limit
• Effective Fluid Description of the Dark Universe
• Accelerated post-AGB evolution, initial-final mass relations, and the star-formation history of the Galactic bulge
• Strong constraints on the gravitational law from $Gaia$ DR3 wide binaries
• The Surface Density Profile of the Galactic Disk from the Terminal Velocity Curve
• Equilibrium configurations of 11eV sterile neutrinos in MONDian galaxy clusters
• Galactic kinematics with modified Newtonian dynamics
• Resolving the timing problem of the globular clusters orbiting the Fornax dwarf galaxy
• The Third Law of Galactic Rotation
• MOND as a regime of quantum gravity
• Using dwarf satellite proper motions to determine their origin
• The central dark matter content of early-type galaxies: scaling relations and connections with star formation histories
• Testing modified Newtonian dynamics in the Milky Way
• The case for testing MOND using LISA Pathfinder
• Dark matter-baryon scaling relations from Einasto halo fits to SPARC galaxy rotation curves
• Mass models from high-resolution HI data of the dwarf galaxy NGC 1560
• Galaxy Cluster Bulk Flows and Collision Velocities in QUMOND
• Galactic dynamics and long-range quantum gravity
• The Escape Velocity Curve of the Milky Way in Modified Newtonian Dynamics
• A census of the expected properties of classical Milky Way dwarfs in Milgromian dynamics
• Is there a fundamental acceleration scale in galaxies?
• Probing the radial acceleration relation and the strong equivalence principle with the Coma cluster ultra-diffuse galaxies
• Radial Acceleration Relation between Baryons and Dark or Phantom Matter in the Super-critical Acceleration Regime of Nearly Spherical Galaxies
• The Imprint of Spiral Arms on the Galactic Rotation Curve
• The Milky Way's rotation curve with superfluid dark matter
• Point Sources from Dissipative Dark Matter
• N-body simulations of the Carina dSph in MOND
• Searching for a cosmological preferred direction with 147 rotationally supported galaxies
• Newtonian Fractional-Dimension Gravity and MOND
• Newtonian Fractional-Dimension Gravity and Disk Galaxies
• Substructure lensing in galaxy clusters as a constraint on low-mass sterile neutrinos in tensor-vector-scalar theory: The straight arc of Abell 2390
• Galactic orbital motions in the Dark Matter, MOdified Newtonian Dynamics and MOdified Gravity scenarios
• The solar system test for the general modified gravity theories
• Sedna and the cloud of comets surrounding the Solar System in Milgromian dynamics
• Influence of the cosmic repulsion on the MOND model of the Magellanic Cloud motion in the field of Milky Way
• Halo Acceleration Relation
• The radial acceleration relation and dark baryons in MOND
• Modeling Nearly Spherical Pure-Bulge Galaxies with a Stellar Mass-to-Light Ratio Gradient under the $\Lambda$CDM and MOND Paradigms: II. The Orbital Anisotropy of Slow Rotators within the Effective Radius
• Alternative gravity rotation curves for the Little Things Survey
• Theoretical implications of the galactic radial acceleration relation of McGaugh, Lelli, and Schombert
• On the separation between baryonic and dark matter: evidence for phantom dark matter?
• ΛCDM with baryons vs. MOND: the time evolution of the universal acceleration scale in the Magneticum simulations
• Galaxy Bulges As Tests of CDM vs MOND in Strong Gravity
• A Cusp-Core like challenge for Modified Newtonian Dynamics
• Probing modified Newtonian dynamics with hypervelocity stars
• Galactic Sun's motion in the Cold Dark Matter, MOdified Newtonian Dynamics and MOdified Gravity scenarios
• Anthropic constraints on the cosmological constant from Sun's motion through the Milky Way
• Dwarf galaxies with central cores in modified Newtonian dynamics (MOND) gravity
• Distribution of Phantom Dark Matter in Dwarf Spheroidals
• The radial acceleration relation at the EDGE of galaxy formation: testing its universality in low-mass dwarf galaxies
• MUSE-DARK III: The evolution of the radial acceleration relation at intermediate redshifts
• MOND and Methodology
• Exploring Milky Way rotation curves with Gaia DR3: a comparison between $\Lambda$CDM, MOND, and General Relativistic approaches
• Modified Inertia as Nonconservative Newtonian Dynamics
• Dark matter and alternative recipes for the missing mass
• Numerical solutions of the complete two-body system in QUMOND
• Understanding Galaxy Rotation Curves with Verlinde's Emergent Gravity
• Comparison of Modeling SPARC spiral galaxies' rotation curves: halo models vs MOND
• Point-like source solutions in modified gravity with a critical acceleration