ON THE SHOULDERS OF GIANTS: PROPERTIES OF THE STELLAR HALO AND THE MILKY WAY MASS DISTRIBUTION
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Halo stars orbit within the potential of the Milky Way, and hence their kinematics can be used to understand the underlying mass distribution. However, the inferred mass distribution depends sensitively on assumptions made on the density and the velocity anisotropy profiles of the tracer population. Also, there is a degeneracy between the parameters of the halo and those of the disk or bulge. Most previous attempts that use halo stars have made arbitrary assumptions about these. In this paper, we decompose the Galaxy into three major components—a bulge, a Miyamoto–Nagai disk, and a Navarro–Frenk–White dark matter halo – and then model the kinematic data of the halo blue horizontal branch and K-giant stars from the Sloan Extension for Galactic Understanding and Exploration. Additionally, we use the gas terminal velocity curve and the Sgr A* proper motion. With the distance of the Sun from the center of the Galaxy R ☉ = 8.5 kpc, our kinematic analysis reveals that the density of the stellar halo has a break at and an exponential cutoff in the outer parts starting at . Also, we find that the tracer velocity anisotropy is radially biased with β s = 0.4 ± 0.2 in the outer halo. We measure halo virial mass M vir to be , concentration c to be , disk mass to be , disk scale length to be , and bulge mass to be . The halo mass is found to be small, and this has important consequences. The giant stars reveal that the outermost halo stars have low velocity dispersion, but interestingly this suggests a truncation of the stellar halo density rather than a small overall mass of the Galaxy. Our estimates of local escape velocity and dark matter density ( GeV cm −3 ) are in good agreement with recent estimates. Some of the above estimates, in particular M vir , are dependent on the adopted value of R ☉ and also on the choice of the outer power-law index of the tracer number density.
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The break in the halo density profile also manifests itself in a change in the shape of the velocity ellipsoid of halo stars around this distance.
“This break also manifests itself in a change in the shape of the velocity ellipsoid of halo stars around this distance, as reported by Kafle et al. (2014).”
From Streams, Substructures, and the Early History of the Milky Way (2020) · cites this paper as Kafle et al. (2014)
Section 4.2 reports a change in velocity anisotropy near 17 kpc, and Section 5.5 places the BHB density-profile break at about 17 kpc. But the paper does not establish that the density break causes the change in the velocity ellipsoid’s shape; Section 4.1 instead links the density break to a drop in radial velocity dispersion. No page numbers are available in our copy. (LLM, conf=0.82)
Experimental — accuracy not yet measuredThis potentially explains why mass estimates based on fitting the rotation curve are systematically lower than determinations based on other methods.
“This potentially explains why mass estimates based on fitting the rotation curve (e.g. Bovy et al. 2012; Kafle et al. 2014) are systematically lower than determinations based on other methods”
From The milky way total mass profile as inferred from Gaia DR2 (2020) · cites this paper as Kafle et al. 2014
In Results and Discussion (page unavailable), the paper constructs a best-fit rotation curve and compares it with terminal-velocity data. Its concluding discussion (page unavailable) says its mass estimate is lower than previously measured estimates. It does not establish that rotation-curve-fitting estimates are systematically lower than estimates from other methods, and its mass fit also uses stellar-halo data. (LLM, conf=0.82)
Experimental — accuracy not yet measuredMost studies that assume an NFW profile for the Galactic halo argue that the halo has a very high concentration, typically ∼14 or higher.
“Such studies argue that the Galactic halo has a very high concentration, typically ∼ 14 or higher”
From The milky way total mass profile as inferred from Gaia DR2 (2020) · cites this paper as Kafle et al. 2014
Section 5.3 reports an NFW-model halo concentration of 21.1, supporting this paper as one example of an estimate above 14. It does not establish that most NFW-based studies find concentrations of approximately 14 or higher; the same section says it is difficult to judge whether its estimate is typical. (LLM, conf=0.86)
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The cold veil of the Milky Way stellar halo
Deason, A. J., Belokurov, V. A., Evans, N. W., Koposov, S. E., Cooke, R., Peñarrubia, J., Laporte, C. F. P., Fellhauer, M., Walker, M. G., & Olszewski, E. W. (2012) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2012.21639.x · Cited by 138 · see citing works
The Vertical Distribution and Kinematics of H i and Mass Models of the Galactic Disk
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Refining the Oort and Galactic constants
Olling, R. P., & Merrifield, M. R. (1998) · Monthly Notices of the Royal Astronomical Society · doi:10.1046/j.1365-8711.1998.01577.x · Cited by 126 · see citing works
THE ORBIT OF THE ORPHAN STREAM
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Basic parameters of dark halos in late-type spirals
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Milky Way Kinematics. I. Measurements at the Subcentral Point of the Fourth Quadrant
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Satellites of simulated galaxies: survival, merging and their relationto the dark and stellar haloes
Sales, L. V., Navarro, J. F., Abadi, M. G., & Steinmetz, M. (2007) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2007.12024.x · Cited by 111 · see citing works
Stream–orbit misalignment – I. The dangers of orbit-fitting
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Self-citationThe local Galactic escape speed
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Not too big, not too small: the dark haloes of the dwarf spheroidals in the Milky Way
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The vertical equilibrium of molecular gas in the Galactic disk
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Structure and kinematics of edge-on galaxy discs - V. The dynamics of stellar discs
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TOUCHING THE VOID: A STRIKING DROP IN STELLAR HALO DENSITY BEYOND 50 kpc
Deason, A. J., Belokurov, V. A., Koposov, S. E., & Rockosi, C. M. (2014) · The Astrophysical Journal · doi:10.1088/0004-637x/787/1/30 · Cited by 90 · see citing works
VELOCITY DISPERSION PROFILE OF THE MILKY WAY HALO
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Stream–orbit misalignment – II. A new algorithm to constrain the Galactic potential
Sanders, J. L., & Binney, J. J. (2013) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stt816 · Cited by 84 · see citing works
The ages of the globular clusters M 71 and 47 Tuc from Strömgrenuvbyphotometry
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Galaxy And Mass Assembly (GAMA): in search of Milky Way Magellanic Cloud analogues
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Self-citationTHE TILT OF THE HALO VELOCITY ELLIPSOID AND THE SHAPE OF THE MILKY WAY HALO
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Two estimates of the distance to the Galactic Centre
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THE VELOCITY ANISOTROPY OF DISTANT MILKY WAY HALO STARS FROMHUBBLE SPACE TELESCOPEPROPER MOTIONS
Deason, A. J., van der Marel, R. P., Guhathakurta, P., Sohn, S. T., & Brown, T. M. (2013) · The Astrophysical Journal · doi:10.1088/0004-637x/766/1/24 · Cited by 56 · see citing works
An analytical phase-space model for tidal caustics
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Field K giants in Galactic halo. II - Improved abundance and kinematic parameters
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Mass Distribution and Rotation Curve in the Galaxy
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Self-citationThe detection and treatment of distance errors in kinematic analyses of stars
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VERY METAL-POOR OUTER-HALO STARS WITH ROUND ORBITS
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Metallicity bias in the kinematics of the Milky Way stellar halo
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Self-citationDynamics for galactic archaeology
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The Smith Cloud and its dark matter halo: survival of a Galactic disc passage
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Self-citationPROBING THE STELLAR HALO OF THE MILKY WAY WITH THE SEKBO RR LYRAE SURVEY
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The mass-concentration relationship of virialized haloes and its impact on cosmological observables
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Self-citationGlobular Cluster Giant Branch Luminosity Functions: “Extra Stars” and “Deep Mixing”
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Notes on the Missing Satellites ProblemPreprint
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Cited by
Sorted by citations
The Galaxy in Context: Structural, Kinematic, and Integrated Properties
Bland-Hawthorn, J., & Gerhard, O. (2016) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev-astro-081915-023441 · Cited by 1,656 · see citing works
Self-citationThe mass distribution and gravitational potential of the Milky Way
McMillan, P. J. (2017) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stw2759 · Cited by 1,099 · see citing works
Streams, Substructures, and the Early History of the Milky Way
Helmi, A. (2020) · Annual Review of Astronomy and Astrophysics · doi:10.1146/annurev-astro-032620-021917 · Cited by 407 · see citing works
The Milky Way total mass profile as inferred from Gaia DR2
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The milky way total mass profile as inferred from Gaia DR2
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“…the analysis in the same spirit as Dehnen & Binney (1998, see also Klypin et al. 2002; Weber & de Boer 2010; McMillan 2011; Bovy et al. 2012; Kafle et al. 2014; McMillan 2017), that is, we estimate the best fitting MW mass model by varying several parameters that encode our ignorance about…”
BackgroundMethodThe mass of the Milky Way from satellite dynamics
Callingham, T. M., Cautun, M., Deason, A. J., Frenk, C. S., Wang, W., Gómez, F. A., Grand, R. J. J., Marinacci, F., & Pakmor, R. (2019) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stz365 · Cited by 166 · see citing works
On the estimation of the local dark matter density using the rotation curve of the Milky Way
de Salas, P. F., Malhan, K., Freese, K., Hattori, K., & Valluri, M. (2019) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2019/10/037 · Cited by 176 · see citing works
Estimating the dark matter halo mass of our Milky Way using dynamical tracers
Wang, W., Han, J., Cooper, A. P., Cole, S., Frenk, C., & Lowing, B. (2015) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stv1647 · Cited by 116 · see citing works
Implications of the Milky Way declining rotation curve
Moffat, J. W., Sharron, H., & Toth, V. T. (2025) · International Journal of Modern Physics D · doi:10.1142/s0218271825500348 · Cited by 2 · see citing works
- Authors
- Kafle, P. R., Sharma, S., Lewis, G. F., & Bland-Hawthorn, J.
- Affiliations
- The University of Sydney (AU)
- Corresponding author
- Kafle, Prajwal Raj
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 2014-09-24
- Volume
- 794
- Issue
- 1
- Pages
- 59
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W2066628301
- Cited by
- 215
- References
- 124
- Citations by year
- 2026: 3 · 2025: 13 · 2024: 18 · 2023: 14 · 2022: 13 · 2021: 14 · 2020: 25 · 2019: 21 · 2018: 19 · 2017: 22 · 2016: 23 · 2015: 29 · 2014: 1
- FWCI
- 13.48
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- The Astrophysical Journal (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- UWA Profiles and Research Repository (UWA) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Stellar, planetary, and galactic studies
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Galaxies: Formation, Evolution, Phenomena
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Astrophysical Phenomena and Observations
- Keywords
- Milky Way mass distribution, stellar halo, halo kinematics, velocity anisotropy, halo density profiles, virial mass, dark matter density, blue horizontal branch stars, K giant stars, Navarro-Frenk-White halo, bulge mass, escape velocity
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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