REVIEW 2 major objections 5 minor 163 references
Asteroseismic forward modelling of 36 $\beta$ Cep pulsators and inferences on their internal differential rotation
T0 review · 2 major / 5 minor · reviewed 2026-07-14 · grok-4.5
Pith's one-line read Radial differential rotation is common in massive β Cep stars and often non-monotonic, from consistent modelling of 36 pulsators.
desk verdict Solid first population-level β Cep modelling with consistent second-order rotation; the differential/non-monotonic claim is a useful lower-limit indication, not a finished profile map. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
A five-parameter MESA–StORM grid in which age and rigid-body rotation frequency are fixed for each evolutionary track by matching one identified “fixed mode” and the observed multiplet splittings, then refined by a χ^{2} that includes both zonal frequencies and second-order asymmetric splittings.
What would settle it
Independent inversion or multi-dimensional modelling of any of the 14 stars that show >10 percent multiplet-to-multiplet f_rot differences would recover a flat rotation profile, or would reverse the reported core-to-envelope gradients.
Extended reading notes
Core claim
Forward modelling of 36 β Cep stars, using a grid that consistently includes second-order rotation, shows that radial differential rotation is common: among the 17 stars with multiple multiplets, the rotation rate varies by more than 10 percent in at least 14, with ten decreasing from core to surface and four increasing, implying that the typical β Cep rotation profile may be non-monotonic.
Load-bearing premise
The oscillation frequencies are computed under the assumption of rigid-body rotation, yet differences among those same rigid models are later read as evidence of radial differential rotation.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper presents the first homogeneous asteroseismic forward-modelling sample of 36 β Cep stars. Mode degrees from multi-colour photometry are refined with rotational multiplets; a MESA grid is combined with StORM frequencies that include second-order rotational effects (deformation and Coriolis coupling). A fixed-mode procedure optimises age and f_rot per evolutionary track, then yields statistical estimates of M, f_ov, log D_mix,0, X_c and f_rot. Validation on six literature stars recovers masses, ages and radial orders within ~1σ once Z differences are allowed for. The sample shows that internal rotation declines along the main sequence and that M_cc/M is well described by a bivariate fit in M and X_c. For 17 stars with ≥2 multiplets, multiplet-by-multiplet re-optimisation of f_rot yields contrasts >10% in 14 stars (10 core-faster, 4 envelope-faster), from which the authors conclude that radial differential rotation is common and may be non-monotonic.
Significance. A population-level β Cep modelling sample is a genuine advance: previous detailed models numbered fewer than ten and were never treated uniformly. Consistent inclusion of second-order rotation, public code and electronic tables, and explicit validation against literature stars are clear strengths. The calibrated M_cc/M(M,X_c) relations and the demonstration that second-order effects matter above ~10% f_crit are immediately useful. The differential-rotation census more than triples the number of purely asteroseismic constraints and supplies concrete targets for angular-momentum-transport theory, even if the profiles themselves remain lower limits.
major comments (2)
- §3.2 and §7: Oscillation frequencies and mean multiplet splittings are computed under rigid rotation, yet the same rigid models are re-optimised multiplet-by-multiplet and the resulting f_rot differences are plotted at the peaks of K_nl and interpreted as radial differential rotation (Fig. 10). Overlapping broad kernels (Fig. C.1) and the selection rule that discards multiplet pairs whose Δf differ by more than a factor of two (§2.2 condition 3b) systematically suppress large contrasts. The paper notes these biases but still presents residual >10% contrasts as affirmative evidence that non-monotonic profiles are typical. The claim should be restated as a lower-limit indication of differential rotation, not a robust profile measurement, and the abstract and conclusions softened accordingly.
- §5 and Fig. 6: StORM systematically over-predicts the asymmetry of l=1 multiplets above ~10% f_crit, leading to under-estimated mean Δf and a unidirectional correction on f_rot. Because the primary scientific product is the set of rotation rates and their radial contrasts, the authors should quantify how this bias propagates into the 14/17 differential-rotation detections (e.g., by repeating the multiplet-by-multiplet analysis with the GYRE first-order f_rot values already computed in §5) and report whether the >10% threshold remains robust.
minor comments (5)
- Table 2 notes: the comparison for ν Eri uses only eight frequencies while the main results use ten; a one-sentence clarification of which set enters the population statistics would avoid confusion.
- Fig. 10 right panel: the colour bar is sorted by X_c but the legend lists star names; adding the corresponding X_c values (or a second colour scale) would make the evolutionary trend easier to read.
- §4.1.5: the metallicity-driven mass uncertainty σ_M,Z is defined as max_j(ΔM_j/M)·M; a brief statement of the typical size of this term relative to the grid-step floor would help the reader gauge the dominant error source.
- Data-availability statement still contains placeholder GitHub/Zenodo/CDS links; these must be finalised before publication.
- A few typographical inconsistencies remain (e.g., “StORMoscillation”, “βCep” without space in places); a light copy-edit pass is recommended.
Circularity Check
Mild selection bias against large multiplet Δf contrasts, but differential-rotation claim is an empirical lower-limit inference from external frequencies, not a definitional or fitted-input tautology.
-
other
[Sect. 2.2, condition 3b (and re-used in Sect. 7)]
"If the dominant mode belongs to a multiplet other than the candidate multiplet, we compared Δf of and the candidate multiplet. Since rotational splitting in either multiplet can be reduced by up to 50% due to the Ledoux constant, we demanded Δf in each multiplet to differ less than a factor 2."
Candidate multiplets are accepted only when their mean rotational splittings already agree to within a factor of two. This pre-filters the sample against the strongest radial differentials before any multiplet-by-multiplet re-optimisation is performed. The subsequent claim that differentials >10% are common is therefore measured only inside a sample that has already been restricted to modest Δf contrasts; the selection rule and the differential-rotation inference are not fully independent. The paper itself lists this as one of three biases that reduce measured differentials, so the circularity is mild and acknowledged rather than hidden.
full rationale
The paper's central claim (radial differential rotation common in 14/17 stars, possibly non-monotonic) is obtained by re-optimising a single free parameter f_rot per multiplet against observed splittings that are external data, then plotting those f_rot at the peak of each K_nl. The models themselves assume rigid rotation, so the recovered contrasts are only lower limits; the paper states this explicitly and lists three biases that suppress differentials. That is a modelling limitation and an interpretive over-reach, not circularity of the kinds enumerated (self-definitional, fitted-input-called-prediction, load-bearing self-citation uniqueness, etc.). Frequencies, Gaia Teff/L, and multiplet candidates are independent of the final claim; the MESA-StORM grid is not defined by the differential-rotation result. The only mild circularity is the pre-selection rule that discards multiplet pairs whose mean Δf differ by more than a factor of two, which already assumes limited differential rotation before the differential analysis is performed. That selection step is acknowledged by the authors and does not force the >10% contrasts that remain. Score 2 is therefore appropriate: one minor, non-load-bearing selection circularity; the derivation chain is otherwise self-contained against external benchmarks.
Assumptions & free parameters
free parameters (7)
- Initial mass M
- Core overshoot f_ov
- Envelope mixing log D_mix,0
- Central hydrogen X_c (age proxy)
- Internal rotation f_rot / f_crit
- Fixed initial metallicity Z=0.014
- Mixing-length α_MLT=2.0
assumptions (6)
- domain assumption Oscillation frequencies may be computed from 1D spherical models with Chandrasekhar–Milne second-order rotational deformation and Coriolis coupling (StORM), assumed adequate up to ~20–40% f_crit.
- ad hoc to paper Rigid-body rotation is an adequate assumption for computing mode frequencies and mean multiplet splittings used in the primary fit.
- domain assumption Core-boundary mixing is exponential overshoot starting 0.005 H_P into the core; envelope mixing follows D_mix = D_mix,0 (ρ0/ρ) from IGW simulations.
- ad hoc to paper A candidate multiplet is secure if it satisfies at least four of five observational conditions (full 2l+1, Gaia f_rot sini compatibility, multi-colour degree consistency, Δf<0.75 d⁻¹, |A_m|<0.10).
- domain assumption Ledoux criterion for convection; solar Asplund et al. (2009) mixture; OP/Ferguson opacities; JINA REACLIB rates.
- domain assumption Theoretical frequency uncertainty floor of 10⁻³ d⁻¹ for β Cep modes (Aerts et al. 2018) replaces smaller observational errors in χ².
Cite this review
Pith. "Pith review of Asteroseismic forward modelling of 36 $\beta$ Cep pulsators and inferences on their internal differential rotation." pith.science (2026). https://pith.science/paper/N5PKHMDN
@misc{pith2026260710834,
author = {Pith},
title = {Pith review of: Asteroseismic forward modelling of 36 $\beta$ Cep pulsators and inferences on their internal differential rotation},
year = {2026},
howpublished = {\url{https://pith.science/paper/N5PKHMDN}},
note = {Machine review of arXiv:2607.10834}
}
abstract
Asteroseismic observations of the interior rotation of main sequence stars have shown that angular momentum transport is much more efficient than expected. Which transport mechanisms are responsible for this is still unclear. Detections of radial differential rotation provide valuable constraints on these transport mechanisms. This has been detected in several massive main sequence $\beta$ Cep pulsators, even though fewer than ten $\beta$ Cep stars have been asteroseismically modelled in detail so far. We aim to expand the sample of asteroseismically forward modelled $\beta$ Cep pulsators to maximally exploit their potential to observationally constrain angular momentum transport mechanisms. To that end, we seek to constrain their rotation profiles. We searched for rotational splitting of non-radial modes in a large $\beta$ Cep sample with identified mode degrees. These were subjected to a novel forward modelling approach, which consistently accounts for second-order rotation effects using the state-of-the-art StORM oscillation code. We successfully modelled 36 $\beta$ Cep stars and constrained crucial parameters such as their initial mass, internal rotation frequency, convective core mass, and age. Like in intermediate-mass main sequence stars, the internal rotation rate globally decreases in $\beta$ Cep stars as they evolve along the main sequence. Radial differential rotation is constrained in 17 $\beta$ Cep stars. The rotation rate in at least 14 stars varies by more than 10%. Of these 14 stars, ten have their rotation rate decreasing from the core to the surface while it is the opposite in four of them. We affirm that radial differential rotation is common in $\beta$ Cep stars. Moreover, our constrained rotation profiles suggest that the typical $\beta$ Cep rotation profile may be non-monotonic.
Figures
Figures from the paper (5 more)
Reference graph
Works this paper leans on
-
[1]
, keywords =
StORM: a fast and open source code to compute oscillations for rotationally deformed stars. , keywords =. submitted
-
[2]
Cep stars from a spectroscopic point of view. , keywords =. doi:10.1023/A:1023983704925 , adsurl =
-
[3]
Asteroseismology of HD 129929: Core Overshooting and Nonrigid Rotation. Science , keywords =. doi:10.1126/science.1084993 , adsurl =
-
[4]
Spectroscopic observations and pulsational frequency analysis
Asteroseismology of the Cephei star Eridani - II. Spectroscopic observations and pulsational frequency analysis. , keywords =. doi:10.1111/j.1365-2966.2004.07215.x , adsurl =
-
[5]
Asteroseismology of the Cep star HD 129929. I. Observations, oscillation frequencies and stellar parameters. , keywords =. doi:10.1051/0004-6361:20034142 , adsurl =
-
[6]
Ceti Is Not Monoperiodic: Seismic Modeling of a Cephei Star from MOST Space-based Photometry. , keywords =. doi:10.1086/500800 , archivePrefix =. astro-ph/0602036 , primaryClass =
-
[7]
doi:10.1007/978-1-4020-5803-5 , adsurl =
Asteroseismology. doi:10.1007/978-1-4020-5803-5 , adsurl =
-
[8]
Forward Asteroseismic Modeling of Stars with a Convective Core from Gravity-mode Oscillations: Parameter Estimation and Stellar Model Selection. , keywords =. doi:10.3847/1538-4365/aaccfb , archivePrefix =. 1806.06869 , primaryClass =
Show all 163 references
- [9]
- [10]
-
[11]
, keywords =
Asteroseismic modelling of fast rotators and its opportunities for astrophysics. , keywords =. doi:10.1051/0004-6361/202348575 , adsurl =
- [12]
-
[13]
arXiv e-prints , keywords =
Distributions and evolution of the equatorial rotation velocities of 2937 BAF-type main-sequence stars from asteroseismology. arXiv e-prints , keywords =. doi:10.48550/arXiv.2511.02909 , archivePrefix =. 2511.02909 , primaryClass =
-
[14]
From 0.2 to 1.5 M _ at seven metallicities from PMS to TAMS
First grids of low-mass stellar models and isochrones with self-consistent treatment of rotation. From 0.2 to 1.5 M _ at seven metallicities from PMS to TAMS. , keywords =. doi:10.1051/0004-6361/201935160 , archivePrefix =. 1905.08516 , primaryClass =
-
[15]
, year = 1999, month = aug, volume =
A compilation of charged-particle induced thermonuclear reaction rates. , year = 1999, month = aug, volume =. doi:10.1016/S0375-9474(99)00030-5 , adsurl =
1999 doi
-
[16]
, keywords =
The Chemical Composition of the Sun. , keywords =. doi:10.1146/annurev.astro.46.060407.145222 , archivePrefix =. 0909.0948 , primaryClass =
- [17]
- [18]
-
[19]
, keywords =
Asteroseismology of the Cephei star Eridani: massive exploration of standard and non-standard stellar models to fit the oscillation data. , keywords =. doi:10.1111/j.1365-2966.2004.08320.x , adsurl =
2004 doi
- [20]
- [21]
- [22]
- [23]
-
[24]
Science , keywords =
Kepler Planet-Detection Mission: Introduction and First Results. Science , keywords =. doi:10.1126/science.1185402 , adsurl =
-
[25]
Frontiers in Astronomy and Space Sciences , keywords =
Asteroseismology of high-mass stars: new insights of stellar interiors with space telescopes. Frontiers in Astronomy and Space Sciences , keywords =. doi:10.3389/fspas.2020.578584 , archivePrefix =. 2008.11162 , primaryClass =
2020 doi
- [26]
-
[27]
, keywords =
Mixing due to internal gravity waves can explain the CNO surface abundances of B-type detached eclipsing binaries and single stars. , keywords =. doi:10.1051/0004-6361/202555888 , archivePrefix =. 2507.20785 , primaryClass =
-
[28]
, keywords =
An asteroseismic study of the Cephei star Ophiuchi: spectroscopic results. , keywords =. doi:10.1111/j.1365-2966.2005.09287.x , archivePrefix =. astro-ph/0506643 , primaryClass =
2005 doi
-
[29]
, keywords =
An asteroseismic study of the Cephei star Ophiuchi: constraints on global stellar parameters and core overshooting. , keywords =. doi:10.1111/j.1365-2966.2007.12142.x , archivePrefix =. 0706.3274 , primaryClass =
2007 doi
- [30]
-
[31]
, keywords =
Multisite spectroscopic seismic study of the Cep star V2052 Ophiuchi: inhibition of mixing by its magnetic field. , keywords =. doi:10.1111/j.1365-2966.2012.21933.x , archivePrefix =. 1208.4250 , primaryClass =
2012 doi
- [32]
- [33]
- [34]
-
[35]
The equilibrium of distorted polytropes. I. The rotational problem. , year = 1933, month = mar, volume =. doi:10.1093/mnras/93.5.390 , adsurl =
1933 doi
-
[36]
Python and HDF5 , url =
Collette, Andrew , biburl =. Python and HDF5 , url =
- [37]
-
[38]
, keywords =
The JINA REACLIB Database: Its Recent Updates and Impact on Type-I X-ray Bursts. , keywords =. doi:10.1088/0067-0049/189/1/240 , adsurl =
- [39]
- [40]
- [41]
- [42]
-
[43]
Extended frequency analysis and mode identification
Asteroseismology of the Cephei star Eridani - III. Extended frequency analysis and mode identification. , keywords =. doi:10.1111/j.1365-2966.2004.07791.x , adsurl =
2004 doi
-
[44]
Communications in Asteroseismology , year = 2006, month = jan, volume =
An asteroseismic study of the beta Cephei star beta Canis Majoris. Communications in Asteroseismology , year = 2006, month = jan, volume =. doi:10.1553/cia147s113 , adsurl =
2006 doi
-
[45]
, keywords =
An asteroseismic study of the Cephei star 12 Lacertae: multisite spectroscopic observations, mode identification and seismic modelling. , keywords =. doi:10.1111/j.1365-2966.2009.14790.x , archivePrefix =. 0903.5477 , primaryClass =
2009 doi
- [46]
-
[47]
Asteroseismology of the Cep star HD 129929. II. Seismic constraints on core overshooting, internal rotation and stellar parameters. , keywords =. doi:10.1051/0004-6361:20034143 , adsurl =
-
[48]
, keywords =
The two hybrid B-type pulsators: Eridani and 12 Lacertae. , keywords =. doi:10.1111/j.1365-2966.2008.12964.x , archivePrefix =. 0801.2451 , primaryClass =
2008 doi
-
[49]
Physics of Fluids , year = 1961, month = jul, volume =
Internal Waves in the Ocean. Physics of Fluids , year = 1961, month = jul, volume =. doi:10.1063/1.1706408 , adsurl =
1961 doi
- [50]
- [51]
- [52]
- [53]
- [54]
- [55]
- [56]
- [57]
- [58]
-
[59]
, keywords =
Asteroseismological studies of three Cephei stars: IL Vel, V433 Car and KZ Mus. , keywords =. doi:10.1046/j.1365-8711.2003.06487.x , archivePrefix =. astro-ph/0302127 , primaryClass =
2003 doi
-
[60]
Photometric observations and pulsational frequency analysis
Asteroseismology of the Cephei star Eridani - I. Photometric observations and pulsational frequency analysis. , keywords =. doi:10.1111/j.1365-2966.2004.07214.x , archivePrefix =. astro-ph/0501263 , primaryClass =
2004 doi
-
[61]
, keywords =
An asteroseismic study of the Cephei star Ophiuchi: photometric results. , keywords =. doi:10.1111/j.1365-2966.2005.09341.x , archivePrefix =. astro-ph/0506640 , primaryClass =
2005 doi
-
[62]
, keywords =
Asteroseismology of the Cephei star 12 (DD) Lacertae: photometric observations, pulsational frequency analysis and mode identification. , keywords =. doi:10.1111/j.1365-2966.2005.09728.x , archivePrefix =. astro-ph/0510326 , primaryClass =
2005 doi
-
[63]
, keywords =
A multisite photometric study of two unusual Cep stars: the magnetic V2052 Oph and the massive rapid rotator V986 Oph. , keywords =. doi:10.1111/j.1365-2966.2012.21414.x , archivePrefix =. 1205.6401 , primaryClass =
2012 doi
-
[64]
Harris and K
Charles R. Harris and K. Jarrod Millman and St. Array programming with. 2020 , month = sep, journal =. doi:10.1038/s41586-020-2649-2 , publisher =
2020 doi
- [65]
- [66]
- [67]
-
[68]
A photometric study of Cephei stars. II. Determination of the degrees L of pulsation modes. , keywords =
- [69]
-
[70]
Hunter, J. D. , Title =. Computing in Science & Engineering , Volume =
- [71]
-
[72]
Alan W. Irwin. The FreeEOS Code for Calculating the Equation of State for Stellar Interiors I: An Improved EFF-Style Approximation for the Fermi-Dirac Integrals
-
[73]
The 2003-2004 multisite photometric campaign and the combined 2002-2004 data
Asteroseismology of the Cephei star Eridani - IV. The 2003-2004 multisite photometric campaign and the combined 2002-2004 data. , keywords =. doi:10.1111/j.1365-2966.2005.09088.x , archivePrefix =. astro-ph/0504238 , primaryClass =
2003 doi
-
[74]
, keywords =
Pulsational stability of rotating main sequence stars: the second order effects of rotation on the nonadiabatic oscillations. , keywords =
- [75]
- [76]
- [77]
- [78]
- [79]
- [80]
-
[81]
Studies of Stellar Rotation. V. The Dependence of Rotation on Age among Solar-Type Stars. , year = 1967, month = nov, volume =. doi:10.1086/149359 , adsurl =
1967 doi
-
[82]
, keywords =
Angular momentum in stars - The Kraft curve revisited. , keywords =. doi:10.1086/132120 , adsurl =
-
[83]
, keywords =
Angular Momentum Loss in Low-Mass Stars. , keywords =. doi:10.1086/166740 , adsurl =
- [84]
-
[85]
, year = 2022, month = aug, volume =
Asteroseismology Across the Hertzsprung-Russell Diagram. , year = 2022, month = aug, volume =. doi:10.1146/annurev-astro-052920-094232 , adsurl =
2022 doi
-
[86]
, keywords =
New Beta Cephei Stars from the KELT Project. , keywords =. doi:10.3847/1538-3881/ab952c , adsurl =
-
[87]
, year = 1951, month = nov, volume =
The Nonradial Oscillations of Gaseous Stars and the Problem of Beta Canis Majoris. , year = 1951, month = nov, volume =. doi:10.1086/145477 , adsurl =
1951 doi
- [88]
- [89]
- [90]
- [91]
- [92]
-
[93]
doi:10.1007/978-3-540-76949-1 , adsurl =
Physics, Formation and Evolution of Rotating Stars. doi:10.1007/978-3-540-76949-1 , adsurl =
- [94]
- [95]
-
[96]
Diagnoses to unravel secular hydrodynamical processes in rotating main sequence stars. II. The actions of internal gravity waves. , keywords =. doi:10.1051/0004-6361/201321934 , adsurl =
- [97]
- [98]
- [99]
- [100]
- [101]
- [102]
-
[103]
arXiv e-prints , keywords =
Is a 1D perturbative method sufficient for asteroseismic modelling of β Cephei pulsators? Implications for measurements of rotation and internal magnetic fields. arXiv e-prints , keywords =
- [104]
- [105]
- [106]
- [107]
- [108]
-
[109]
, keywords =
Nonradial oscillations of a 10 solar mass star in the main-sequence stage. , keywords =
-
[110]
, keywords =
Pulsational Instability Domains in the Upper Main Sequence. , keywords =
-
[111]
, keywords =
Asteroseismology of the Cephei star Eridani: interpretation and applications of the oscillation spectrum. , keywords =. doi:10.1111/j.1365-2966.2004.07721.x , archivePrefix =. astro-ph/0402354 , primaryClass =
2004 doi
- [112]
- [113]
- [114]
- [115]
- [116]
- [117]
- [118]
- [119]
-
[120]
Optical analysis and seismic diagnostics
Characterizing B stars from Kepler/K2 Campaign 11. Optical analysis and seismic diagnostics. , keywords =. doi:10.1051/0004-6361/202346439 , adsurl =
- [121]
- [122]
- [123]
-
[124]
Space Telescopes and Instrumentation 2018: Optical, Infrared, and Millimeter Wave , year = 2018, editor =
CUBESPEC: low-cost space-based astronomical spectroscopy. Space Telescopes and Instrumentation 2018: Optical, Infrared, and Millimeter Wave , year = 2018, editor =. doi:10.1117/12.2314074 , archivePrefix =. 1805.11848 , primaryClass =
- [125]
- [126]
-
[127]
Journal of Astronomical Telescopes, Instruments, and Systems , year = 2015, month = jan, volume =
Transiting Exoplanet Survey Satellite (TESS). Journal of Astronomical Telescopes, Instruments, and Systems , year = 2015, month = jan, volume =. doi:10.1117/1.JATIS.1.1.014003 , adsurl =
2015 doi
- [128]
- [129]
- [130]
-
[131]
, keywords =
Rotational and tidal perturbations of nonradial oscillations in polytropic star. , keywords =. doi:10.1086/158708 , adsurl =
- [132]
-
[133]
and Haberland, Matt and Reddy, Tyler and Cournapeau, David and Burovski, Evgeni and Peterson, Pearu and Weckesser, Warren and Bright, Jonathan and
Virtanen, Pauli and Gommers, Ralf and Oliphant, Travis E. and Haberland, Matt and Reddy, Tyler and Cournapeau, David and Burovski, Evgeni and Peterson, Pearu and Weckesser, Warren and Bright, Jonathan and. Nature Methods , year =
-
[134]
, year = 1974, month = nov, volume =
The Non Radial Oscillations of Condensed Polytropes. , year = 1974, month = nov, volume =
1974
-
[135]
, keywords =
Opacity Project data on CD for mean opacities and radiative accelerations. , keywords =. doi:10.1111/j.1365-2966.2005.00019.x , archivePrefix =. astro-ph/0411010 , primaryClass =
2005 doi
- [136]
- [137]
- [138]
- [139]
-
[140]
, keywords =
Photometric studies of three multiperiodic Cephei stars: CMa, 15 CMa and KZ Mus. , keywords =. doi:10.1111/j.1365-2966.2006.10289.x , archivePrefix =. astro-ph/0603754 , primaryClass =
2006 doi
- [141]
- [142]
- [143]
- [144]
- [145]
-
[146]
, keywords =
Analysis of Adiabatic Dipolar Oscillations of Stars. , keywords =. doi:10.1093/pasj/58.5.893 , adsurl =
- [147]
- [148]
-
[149]
Theory of rotating stars
-
[150]
, year = 1973, month = jan, volume =
Convection in rotating stars. , year = 1973, month = jan, volume =. doi:10.1093/mnras/165.1.39 , adsurl =
1973 doi
-
[151]
, keywords =
A period analysis of the optical line variability of Cephei: evidence for multi-mode pulsation and rotational modulation. , keywords =
-
[152]
, keywords =
Seismic modelling of the beta Cep star EN (16) Lacertae. , keywords =. doi:10.1051/0004-6361:20030757 , adsurl =
- [153]
- [154]
- [155]
- [156]
-
[157]
43rd COSPAR Scientific Assembly
CUBESPEC: stellar spectroscopy on a CubeSat platform. 43rd COSPAR Scientific Assembly. Held 28 January - 4 February , year = 2021, volume =
2021
-
[158]
, keywords =
Asteroseismic detection of an internal magnetic field in the B0.5V pulsator HD 192575. , keywords =. doi:10.1051/0004-6361/202556850 , archivePrefix =. 2511.21812 , primaryClass =
- [159]
- [160]
- [161]
- [162]
-
[163]
, keywords =
Circulation and turbulence in rotating stars. , keywords =
Reviewed July 14, 2026 · model on record in the stance chip above.
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