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REVIEW 3 major objections 6 minor 172 references

Mass Modeling the Andromeda Dwarf Galaxies: Andromeda VI and Andromeda XXIII

T0 review · 3 major / 6 minor · reviewed 2026-08-15 · deepseek-v4-flash

Pith's one-line read Dynamical mass modeling of two Andromeda dwarf galaxies places And VI in the cuspy dark-matter regime and And XXIII in a lower-density, possibly tidal regime.

desk verdict Adds two mass-modeled M31 dwarfs, including a claimed cuspy one, but the cusp/core split is prior-driven and needs a wider-prior rerun before I'd trust the classification. read the letter →

arxiv 2505.04475 v3 pith:NWVOZ463 submitted 2025-05-07 astro-ph.GA

classification astro-ph.GA
keywords dwarfspheroidalgalaxiesAndromedadarkmatterdensityprofilescusp-coreproblemJeansmodelingGravSpherestarformationhistorytidalstripping
topics Dark Matter
open problems Dark Matter
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper sets out to measure the dark-matter content of two Andromeda dwarf spheroidal galaxies, Andromeda VI and Andromeda XXIII, using stellar velocities and the dynamical modeling code GravSphere. The authors report that And VI has a central dark-matter density at 150 pc of $(1.4\pm0.5)\times10^8\,M_\odot\,\mathrm{kpc}^{-3}$, high enough to fall in the cuspy regime and the first such result for a mass-modeled M31 satellite. And XXIII comes in lower, at $0.5^{+0.4}_{-0.3}\times10^8\,M_\odot\,\mathrm{kpc}^{-3}$, which the authors read as either a cored inner profile or a density lowered by tides. Because both dwarfs formed most of their stars early and then quenched, the low density of And XXIII is hard to explain by stellar feedback, making external processes or alternative dark-matter models the live options.

What carries the argument

The load-bearing tool is GravSphere, a dynamical model that solves the spherical Jeans equation for tracer stars while fitting a CoreNFWTides dark-matter profile, with the Binulator binning method supplying the velocity and surface-brightness inputs. GravSphere is intended to break the mass-anisotropy degeneracy through virial shape parameters, which use higher-order velocity moments to constrain the orbital anisotropy $\beta(r)$. That step is important because without proper motions the inferred dark-matter density at 150 pc depends on priors on the central and outer anisotropies; the paper's own diagnostic plots show that the virial shape parameters are only weakly constrained for these galaxies.

What would settle it

Measure proper motions for And VI and And XXIII, or collect enough member-star velocities to constrain the velocity-anisotropy shape, and re-run the Jeans fit; if the inferred density at 150 pc for And VI drops below the cusp/core boundary or for And XXIII rises above it, the paper's central classification would be overturned.

Watch

Extended reading notes

Core claim

The paper's central claim is that two Andromeda dwarfs of similar luminosity occupy different dark-matter regimes at 150 pc. And VI is dynamically typical: its enclosed mass within the half-light radius $M(r<r_h)=(4.9\pm1.5)\times10^7\,M_\odot$, its mass-to-light ratio $[M/L]_{r_h}=(27.1\pm8.2)$, and its central dark-matter density are all consistent with a cusped, NFW-like halo, making it the first mass-modeled M31 satellite to fall into the cuspy regime. And XXIII has a comparable enclosed mass, $(3.1\pm1.9)\times10^7\,M_\odot$, but a much lower central dark-matter density, implying either a cored inner profile or a density that tides have lowered. Because And XXIII formed 90 percent of its stars about 7.3 Gyr ago and has shown no significant star formation since, the authors argue that stellar feedback cannot explain its low density and that tidal interaction with M31 is the more plausible external cause. The result adds And XXIII to the short list of M31 dwarfs with low central densities while showing that the cuspy regime is not empty around M31.

Load-bearing premise

The recovered dark-matter densities assume both galaxies are spherical and in dynamical equilibrium, and with no proper-motion measurements the central density depends on assumptions about how stretched the stars' orbits are.

Editorial extensions

If this is right

  • If And VI's cuspy density holds, M31 satellites are not all low-density outliers; at least one is consistent with the standard cold-dark-matter cusp.
  • If And XXIII's low density is caused by tides, it joins And XXI and And XXV as evidence that the M31 environment can strip dark matter before stripping stars.
  • Because And XXIII quenched early, a low-density M31 dwarf with little star formation becomes a sharper test for tidal stripping or alternative dark-matter models rather than feedback-driven core formation.
  • Mass-modeling the remaining unmodeled M31 dwarfs will determine whether low central densities are common in that system and whether the Milky Way versus Andromeda difference is environmental rather than a universal property.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • Editorial inference: a testable extension is to measure proper motions for And VI and And XXIII; if the recovered density at 150 pc shifts across the cusp/core boundary when the anisotropy is allowed to vary, the classification of And VI as cuspy would be fragile.
  • Editorial inference: if future M31 dwarf models keep finding low central densities in early-quenched dwarfs, the most economical explanation would be that tides from M31 are systematically stronger than tides from the Milky Way, a difference that orbit measurements could directly check.
  • Editorial inference: applying the same pipeline to dwarfs with similar luminosity but different projected distances from M31 could separate tidal density lowering from feedback-driven lowering without waiting for full orbits.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 6 minor

Summary. The paper presents dynamical mass modeling of two M31 dwarf spheroidals, Andromeda VI and Andromeda XXIII, using existing Subaru/PAndAS photometry and Keck/DEIMOS spectroscopy. The authors measure systemic velocities and velocity dispersions consistent with Collins et al. (2013), compute enclosed masses within the half-light radius using the Walker et al. (2009) estimator, and then run Binulator+GravSphere with CoreNFWTides models to infer dark matter density profiles. They report rho_DM(150 pc) = (1.4 ± 0.5) × 10^8 M_sun kpc^-3 for And VI and 0.5(+0.4,-0.3) × 10^8 M_sun kpc^-3 for And XXIII, interpreting And VI as cuspy and And XXIII as cored or tidally lowered. Comparisons are made with abundance matching, star formation histories, MOND, and the broader Local Group population; the paper claims And VI is the first mass-modeled M31 satellite in the cuspy regime.

Significance. Extending mass modeling from the Milky Way to the M31 satellite population is a valuable step, and the paper provides new constraints for two dwarfs with publicly available tools and data. The enclosed-mass results are consistent with prior work and rely on a nearly model-independent estimator, and the abundance-matching and MOND comparisons are drawn from independent literature rather than assumed from the inferred densities. However, the headline cusp/core classification depends on velocity-anisotropy priors because proper motions are unavailable, and the paper's own diagnostic plots show that the virial shape parameters v_s1 and v_s2 are poorly constrained. The central density values are therefore not yet robust enough to support the 'first cuspy M31 satellite' claim until wider-prior and robustness tests are supplied.

major comments (3)
  1. [Section 4.3.1, Table 7; Appendix A, Figures A5 and A6] The central-density classification rests on the assumed priors for velocity anisotropy because v_s1 and v_s2 are unconstrained; the figure captions state that these virial shape parameters are 'clearly poor' and 'poor' due to the lack of proper motions. With beta_0 fixed to [-0.01, 0.01] and beta_inf to [-0.1, 1], the recovered beta posterior is effectively the prior, so the quoted uncertainties on rho_DM(150 pc) sample only that prior. Since the cusp/core boundary in Figure 9 is a density threshold, and And VI's rho_DM(150 pc) = 1.4 ± 0.5 × 10^8 M_sun kpc^-3 is described in Section 5 as lying 'within uncertainty, nearer the cusped regime', a systematic shift from differing anisotropy priors could change the classification. Please rerun GravSphere with wider beta priors, including more tangential beta_inf values, and report how rho_DM(150 pc) and the cusp/core assignments change.
  2. [Section 3, Table 1, Appendix A Figure A2] The robustness to the density shape parameter prior n is demonstrated only for And VI; the text states 'We would anticipate a similar result for Andromeda XXIII', but this is not a substitute for the actual test. Because And XXIII's low central density is one of the paper's two central results, and because the GravSphere v1.5 prior 0 < n < 1 excludes steep cusps, please run the broader -1 < n < 1 prior for And XXIII and include the resulting rho_DM(150 pc) value and density profile.
  3. [Sections 4.1 and 4.3] The membership probability threshold P_mem >= 0.10 and the photometric distance cuts (900 pc for And VI, 1800 pc for And XXIII) are asserted to be safe but are not varied. With only 39 member stars for And XXIII, the inferred velocity dispersion, and hence rho_DM(150 pc), could depend on these choices. Please add tests that vary P_mem (for example, 0.05 and 0.15) and the distance cuts, and state whether the inferred densities and cusp/core classifications are stable.
minor comments (6)
  1. [Section 3, after Eq. (2)] The text says 'beta = 0 represents an anisotropic distribution'; this should read 'isotropic distribution'.
  2. [Figure 5 caption] The caption contains typos: 'out MCMC analysis routine' should be 'our MCMC analysis routine', and 'veloicty' should be 'velocity'.
  3. [Section 4.5, And XXIII paragraph] The sentence 'This can be seen in Figure 7' refers to the And XXIII comparison and should cite Figure 8 instead.
  4. [Table 2] The listed apparent V-band magnitude for And VI, mV = 24.6 ± 0.06, is inconsistent with MV = -11.6 at D = 831.8 kpc (which would give mV near 13, not 24.6). Please check whether this entry is a typo or whether 'mV' denotes a different quantity.
  5. [Section 4.3.1] The sentence 'While accounted for when fitting the SBP, final DM density estimations from GravSphere do not change based on solar distance measurements to the dwarf' is unclear and should be rewritten for clarity.
  6. [Equation (8)] The notation nu^2_err,i inside the square root is confusing; please use sigma^2_v,i or explicitly define the velocity uncertainty term.

Circularity Check

0 steps flagged · score 1.0 of 10

No circularity: DM densities are kinematic fit outputs; external benchmarks are independent.

full rationale

The central results — rho_DM(150 pc) for And VI and And XXIII — are outputs of a Jeans-equation fit (GravSphere) to the measured line-of-sight velocity dispersions and surface brightness profiles. They are not assumed or derived from the cusp/core classification the paper then applies. The comparisons to the Walker et al. (2009) mass estimator, to abundance matching (Read & Erkal 2019), and to MOND use independent literature relations that do not take the measured rho_DM as an input, so no fitted quantity is renamed as a prediction. The heavy citation of the authors' own code and prior papers (Read & Steger 2017; Collins et al. 2021; Charles et al. 2023) is self-citation, but the code is public and has been tested on mocks, and the cited prior analyses are not invoked to forbid alternatives or to supply the target result. The acknowledged poor constraints on the virial shape parameters v_s1 and v_s2 (Figures A5 and A6 captions: 'The results of v_s1 and v_s2 are clearly poor for this analysis') make the recovered central densities dependent on the adopted velocity-anisotropy priors, since proper motions are unavailable. That is a genuine robustness limitation, but it is not circular: the data still enter through the likelihood, and a wider prior could change the answer without making the inference tautological. No equation or parameter in the paper reduces by construction to the paper's own inputs, and the cusp/core claim is a comparison to an external theoretical band, not a consequence of the prior itself. The paper is therefore self-contained against external benchmarks, with only minor, non-load-bearing self-citation.

Assumptions & free parameters 7 free parameters · 5 assumptions · 0 invented entities

The central claim rests on the Jeans modeling family and the assumption that the adopted priors are unbiased. The paper is transparent about the equilibrium, sphericity, and stellar population assumptions, but the recovered densities are conditional on these choices.

free parameters (7)
  • M200 (virial mass) = And VI: 12.7 +/- 4.7 x 10^9 M_sun; And XXIII: 3.9 +/- 1.6 x 10^9 M_sun
    Fitted by GravSphere CoreNFWTides; the derived dark matter density profile depends on this mass scale.
  • n (dark matter density shape parameter) = Not reported in text; prior range 0 < n < 1
    Controls cusp/core shape of the inner profile; directly determines whether the dwarf is classified as cuspy or cored.
  • Velocity anisotropy priors (beta_0, beta_inf) = beta_0 in [-0.01, 0.01]; beta_inf in [-0.1, 1]
    Central anisotropy is forced to near-isotropy; the mass-anisotropy degeneracy means the recovered density depends on these priors given the absence of proper motions.
  • Membership probability threshold P_mem = 0.10
    Chosen by hand to balance contamination against losing member stars; affects the velocity dispersion and hence the mass.
  • Photometric distance cut = 900 pc (And VI), 1800 pc (And XXIII)
    Applied to exclude background stars when building the surface brightness profile; could bias the fitted half-light radius.
  • eta_CMD and eta_dist scaling parameters = eta_CMD = 0.1; eta_dist = 5
    Chosen to set the width of the RGB and the spatial membership probability; influence which stars are included as tracers.
  • Stellar mass-to-light ratio M/L = 2 M_sun/L_sun
    Assumed for old stellar populations (Simon 2019) to convert luminosity to stellar mass; affects the baryonic contribution inside 150 pc.
assumptions (5)
  • standard math The spherical Jeans equation relates the observed line-of-sight velocity dispersion to the gravitational potential and velocity anisotropy.
    Used in Equation (1) as the foundation of GravSphere; assumes spherical symmetry and dynamical equilibrium.
  • domain assumption And VI and And XXIII are in dynamical equilibrium and are approximately spherical.
    Stated in Section 6 ('We assumed that both dwarfs are in dynamical equilibrium'); the galaxies have ellipticities ~0.4, so the spherical assumption may bias results, though mock tests are cited.
  • domain assumption The CoreNFWTides model (Read et al. 2018) adequately describes dwarf galaxy dark matter profiles, including tidal truncation.
    Used as the density model in GravSphere; the recovered rho_DM(150 pc) is conditional on this family of profiles.
  • domain assumption The Padova isochrones and adopted stellar parameters correctly identify member stars on the CMD.
    Membership probabilities P_CMD rely on isochrone alignment with age 10 Gyr and [Fe/H] values; mis-matches would alter the member sample.
  • domain assumption The distance measurements from Savino et al. (2022) are correct.
    Distances (831.8 kpc for And VI, 745 kpc for And XXIII) set the physical scale of half-light radii and velocity dispersions.

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Cite this review

Pith. "Pith review of Mass Modeling the Andromeda Dwarf Galaxies: Andromeda VI and Andromeda XXIII." pith.science (2026). https://pith.science/paper/NWVOZ463

@misc{pith2026250504475,
  author       = {Pith},
  title        = {Pith review of: Mass Modeling the Andromeda Dwarf Galaxies: Andromeda VI and Andromeda XXIII},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/NWVOZ463}},
  note         = {Machine review of arXiv:2505.04475}
}
abstract

Accurately mapping the mass profiles of low mass dwarf spheroidal (dSph) galaxies allows us to test predictions made by dark matter (DM) models. To date, such analyses have primarily been performed on Milky Way (MW) satellites. Meanwhile, the Andromeda Galaxy (M31) is home to 35 known dwarf galaxies, yet only two have been successfully mass-modeled so far. A more comprehensive study of Local Group dwarfs is necessary to better understand the nature of dark matter. In this study, we have undertaken a dynamical study of two higher-luminosity Andromeda dwarf galaxies: Andromeda VI (And VI) and Andromeda XXIII (And XXIII). We infer an enclosed mass for And VI of M(r $<$ r$_{h}$) = (4.9 $\pm$ 1.5) $\times$ 10$^{7}$ M$_{\odot}$, corresponding to a mass-to-light ratio of $[M/L]_{r_{\rm{h}}}$ = (27.1 $\pm$ 8.2) M$_{\odot}$/L$_{\odot}$. We infer an enclosed mass for And XXIII of M(r $<$ r$_{h}$) = (3.1 $\pm$ 1.9) $\times$ 10$^{7}$ M$_{\odot}$, corresponding to a mass-to-light ratio of $[M/L]_{r_{\rm{h}}}$ = (90.2 $\pm$ 53.9) M$_{\odot}$/L$_{\odot}$. Using the dynamical Jeans modeling tool, \gravsphere, we determine And VI and And XXIII's dark matter density at 150 pc, finding $\rho_{\rm{DM,VI}}$(150 pc) = (1.4 $\pm$ 0.5) $\times 10^{8}$ M$_{\odot}$ kpc$^{-3}$ and $\rho_{\rm{DM,XXIII}}$(150 pc) = 0.5$\substack{+0.4 \\ -0.3} \times 10^{8}$ M$_{\odot}$ kpc$^{-3}$. Our results make And VI the first mass-modeled M31 satellite to fall into the cuspy regime. And XXIII has a lower density, implying either a more cored central dark matter density, or a lowering of the density through tides. This adds And XXIII to a growing list of M31 dwarfs with a central density lower than most MW dwarfs and lower than expected for isolated dwarfs in the Standard Cosmology. This could be explained by the M31 dwarfs having experienced stronger tides than their MW counterparts.

Figures

Figures reproduced from arXiv: 2505.04475 by the authors.

Figure 1
Figure 1. Half-light radius versus absolute V-band magnitude of Local Group dwarf galaxies. Milky Way dwarfs are denoted by gray triangles, while M31 dwarfs are denoted by gray circles. Andromeda VI and Andromeda XXIII are represented by a magenta diamond and a dark purple diamond, respectively. The black lines represent relations of surface brightness. Note that some uncertainties are too small to be seen but are represented… view at source ↗
Figure 2
Figure 2. Top Left: Histogram of number of stars split into 40 velocity bins of 15 kms−1 each. The light gray bars represent the non-member velocities while the dark gray bars represent member star velocities. The vertical dashed black bar is the systemic velocity of And VI from C13. Bottom Left: Velocity versus radial distance from measured center of And VI. The points are shaded depending on their respective probabilities. … view at source ↗
Figure 3
Figure 3. Same as [PITH_FULL_IMAGE:figures/full_fig_p007_3.png] view at source ↗
Figures from the paper (6 more)
Figure 5
Figure 5. Figure 5: And VI dispersion, as determined via out MCMC analysis routine outlined in § 4.1.2. Both the systemic velocity and veloicty dispersion are shown to converge well at their values of 𝑣 = (-341.6 ± 1.7) kms−1 and 𝜎v = 13.2 +1.4 −1.3 kms−1 , respectively [PITH_FULL_IMAGE:…
Figure 4
Figure 4. Figure 4: Total probability membership of Andromeda VI (top) and An￾dromeda XXIII (bottom), where there is a clear distribution bias at 𝑃tot < 0.10. Therefore, only stars with a total membership probability of 𝑃tot ≥ 0.10 are considered for our analysis. log L = ∑︁ 𝑁 𝑖=1 log 𝑃m…
Figure 6
Figure 6. Figure 6: Same as [PITH_FULL_IMAGE:figures/full_fig_p009_6.png]
Figure 7
Figure 7. Figure 7: Andromeda VI Dark matter density profiles determined by GravSphere (solid black line), with 1 and 2𝜎 being denoted by the dark gray and light gray shaded regions, respectively. The pink shaded region is the density profile created via ⟨SFR⟩ abundance matching. The blue…
Figure 9
Figure 9. Figure 9: Central dark matter density as a function of pre-infall halo mass, 𝑀200. The dark gray region represents a fully cusped profile, while the light gray region represents a fully cored profile (coreNFW from Read et al. (2016)). Each band has a width corresponding to a 1𝜎 …
Figure 10
Figure 10. Figure 10: The luminosity-metallicity relation for Local Group dwarf galax￾ies. Milky Way satellites are denoted by gray triangles, while M31 satellites are denoted by gray circles. The dashed black line represents the relation found by Kirby et al. (2013), with the teal shading…

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    " write newline "" before.all 'output.state := FUNCTION fin.entry write newline FUNCTION new.block output.state before.all = 'skip after.block 'output.state := if FUNCTION new.sentence output.state after.block = 'skip output.state before.all = 'skip after.sentence 'output.stat...

Pith tools

Reviewed August 15, 2026 · model on record in the stance chip above.