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arxiv: 2605.22399 · v1 · pith:LVY4HEUInew · submitted 2026-05-21 · 🌌 astro-ph.SR

Reconstruction of annual solar irradiance over the last three millennia

D. Temaj , N.A. Krivova , S.K. Solanki , I.G. Usoskin , T. Chatzistergos This is my paper

Pith reviewed 2026-05-22 03:59 UTC · model grok-4.3

classification 🌌 astro-ph.SR
keywords total solar irradianceTSI reconstructionsunspot numberscosmogenic isotopessolar variabilitySATIRE-T modelthree millennia
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The pith

A physics-based model produces the first annual total solar irradiance record over the last three millennia.

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

The paper extends the SATIRE-T model, calibrated on modern satellite and telescopic data, to reconstruct total solar irradiance at annual resolution back three thousand years. It does this by feeding the model with newly available sunspot number series derived from cosmogenic isotope records. The reconstruction yields a continuous TSI series from the satellite era through the pre-telescopic period, with the 50-year running mean showing a maximum difference of 1.04 W m^{-2} between its highest and lowest values. A sympathetic reader would care because direct irradiance measurements exist only for recent decades, so any long-term solar record helps separate solar contributions from other drivers of past climate change.

Core claim

The authors produce a continuous physics-based total solar irradiance record at annual resolution covering the last three millennia by extending the SATIRE-T model with annually resolved sunspot numbers from cosmogenic isotope records, resulting in a maximum difference of 1.04 with uncertainties of -0.2 to +0.14 W m^{-2} between the maximum and minimum of the 50-year running mean values over the full interval.

What carries the argument

The SATIRE-T model, which calculates irradiance changes from the evolution of solar surface magnetic features, applied to sunspot numbers reconstructed from cosmogenic isotopes.

If this is right

  • The record supplies a uniform annual TSI series that bridges the satellite era and earlier times for direct use in climate studies.
  • It quantifies the amplitude of long-term solar variability as no more than about one watt per square meter in smoothed values.
  • It demonstrates that a physics-based approach can be carried backward in time once suitable sunspot input series exist.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Climate simulations could now ingest this TSI series to test how much of observed past temperature changes can be attributed to solar forcing alone.
  • If later work confirms the small amplitude, it would tighten upper limits on solar contributions to centennial-scale climate shifts.
  • The method opens a path for similar annual reconstructions of other solar parameters such as ultraviolet flux once suitable input data become available.

Load-bearing premise

The model relating sunspot numbers to irradiance changes, which was tuned on recent observations, continues to hold when applied to sunspot numbers from thousands of years ago.

What would settle it

An independent TSI proxy or reconstruction from a different method that shows a range in 50-year averages substantially larger than 1.04 W m^{-2} over the same three-millennia span.

Figures

Figures reproduced from arXiv: 2605.22399 by D. Temaj, I.G. Usoskin, N.A. Krivova, S.K. Solanki, T. Chatzistergos.

Figure 1
Figure 1. Figure 1: (a) Annual sunspot numbers (ISNv2 in red and 14C-based SN in different shades of blue, as indicated in the legend – U21, U25, and U26 stand for Usoskin et al. 2021, 2025, 2026). The different blue shades cor￾respond only to the origin of the input data and do not reflect sepa￾rate reconstructions. These SN val￾ues are used as input to reconstruct: (b) Total magnetic flux, (c) Open so￾lar magnetic flux, and… view at source ↗
Figure 2
Figure 2. Figure 2: Same as [PITH_FULL_IMAGE:figures/full_fig_p004_2.png] view at source ↗
read the original abstract

Solar irradiance measurements are limited to the last few decades, requiring reconstructions to assess solar variability on longer timescales and its impact on Earth's climate. We present the first physics-based reconstruction of total solar irradiance (TSI) at annual resolution over the last three millennia. The reconstruction is obtained by extending the SATIRE-T model beyond the telescopic era using recently published, annually resolved sunspot number series derived from cosmogenic isotope records. This yields a continuous, physics-based TSI record extending from the satellite era back over the last three millennia, with annual resolution throughout the pre-telescopic period. Over the full three-millennia interval, the reconstructed TSI exhibits a maximum difference of $1.04_{-0.2}^{+0.14}\,\mathrm{W\,m^{-2}}$, defined as the difference between the maximum and minimum of the 50-yr running mean values.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The paper extends the SATIRE-T semi-empirical model, previously calibrated on satellite-era TSI and telescopic sunspot data, to produce an annual-resolution reconstruction of total solar irradiance (TSI) over the last three millennia. Input sunspot numbers are taken from an inversion of cosmogenic 14C and 10Be production rates. The central quantitative result is a maximum difference of 1.04_{-0.2}^{+0.14} W m^{-2} between the maximum and minimum of the 50-year running-mean TSI values over the full interval.

Significance. A validated annual TSI reconstruction spanning three millennia would be a useful input for climate-sensitivity studies and for testing solar-dynamo models on centennial timescales. The physics-based character of SATIRE-T and the use of annually resolved proxy sunspot numbers are strengths relative to purely empirical long-term reconstructions. However, the significance is limited by the absence of explicit validation that the modern-calibrated flux-to-irradiance mapping remains unchanged when applied to the statistical properties of the pre-telescopic SSN series.

major comments (2)
  1. [Abstract and §2] Abstract and §2 (model description): the central claim that the 1.04 W m^{-2} range is robust rests on the assumption that SATIRE-T parameters (spot/facular contrasts and area-filling factors) calibrated on post-1978 data remain valid for the amplitude, cycle length, and grand-minimum depth statistics of the isotope-derived SSN series. No sensitivity tests that vary these parameters within their modern uncertainties or that compare the resulting TSI against independent proxies (e.g., 10Be-based reconstructions or tree-ring 14C) are reported.
  2. [§3] §3 (reconstruction results): the reported asymmetric uncertainties on the 1.04 W m^{-2} difference appear to reflect only the uncertainty in the 50-yr running-mean extrema; they do not propagate the uncertainty arising from possible secular changes in the SSN-to-magnetic-flux conversion or in the contrast ratios. A quantitative assessment of this additional systematic uncertainty is required for the quoted range to be interpreted as a total error budget.
minor comments (2)
  1. [Abstract] The definition of the reported maximum difference (difference between max and min of the 50-yr running mean) should be stated explicitly in the abstract and again in the results section for clarity.
  2. [Figures] Figure captions should indicate the time intervals covered by the satellite calibration data versus the proxy-driven reconstruction to avoid visual conflation of the two regimes.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their constructive comments, which help clarify the robustness of our reconstruction. We respond to each major comment below.

read point-by-point responses

  1. Referee: [Abstract and §2] Abstract and §2 (model description): the central claim that the 1.04 W m^{-2} range is robust rests on the assumption that SATIRE-T parameters (spot/facular contrasts and area-filling factors) calibrated on post-1978 data remain valid for the amplitude, cycle length, and grand-minimum depth statistics of the isotope-derived SSN series. No sensitivity tests that vary these parameters within their modern uncertainties or that compare the resulting TSI against independent proxies (e.g., 10Be-based reconstructions or tree-ring 14C) are reported.

    Authors: SATIRE-T is a physics-based model in which spot and facular contrasts are determined from the wavelength-dependent radiative properties of magnetic features, quantities that are intrinsic to the Sun and independent of the statistical properties of the input sunspot series. The area-filling factors are likewise tied to the observed magnetic flux. Because the underlying physics does not change on millennial timescales, the same parameter set calibrated on the satellite era is applied to the isotope-derived SSN series. Nevertheless, we agree that an explicit demonstration of robustness is valuable. In the revised manuscript we will add sensitivity tests that vary the contrast ratios and filling-factor scaling within the uncertainties reported in the original SATIRE-T calibration papers and will include a brief comparison of the resulting TSI envelope with independent 10Be-based reconstructions. revision: yes

  2. Referee: [§3] §3 (reconstruction results): the reported asymmetric uncertainties on the 1.04 W m^{-2} difference appear to reflect only the uncertainty in the 50-yr running-mean extrema; they do not propagate the uncertainty arising from possible secular changes in the SSN-to-magnetic-flux conversion or in the contrast ratios. A quantitative assessment of this additional systematic uncertainty is required for the quoted range to be interpreted as a total error budget.

    Authors: The asymmetric uncertainties quoted for the 1.04 W m^{-2} range are obtained solely from the extrema of the 50-year running mean of the central reconstruction. We acknowledge that this does not yet incorporate systematic contributions from possible secular changes in the SSN-to-flux conversion or in the adopted contrasts. In the revised version we will add a quantitative assessment of these systematics, for example by recomputing the TSI range for the upper and lower bounds of the conversion factor and contrast uncertainties, and will present the resulting total error budget alongside the existing statistical range. revision: yes

Circularity Check

0 steps flagged

No significant circularity in the reconstruction chain

full rationale

The paper computes TSI by applying the pre-existing SATIRE-T model (with parameters fixed from modern satellite and telescopic data) to an externally derived, annually resolved sunspot-number time series obtained by inverting cosmogenic isotope production rates. The reported 1.04 W m^{-2} maximum difference is obtained by taking the max-minus-min of the 50-year running mean of this forward-modelled TSI series. This is a standard forward application of a calibrated model to independent proxy input; the output series is not redefined as or fitted to the same quantities that entered the model. No load-bearing step reduces by construction to the paper's own fitted values or to a self-citation chain whose validity is assumed inside the present work. The derivation therefore remains self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 0 invented entities

The reconstruction rests on the transferability of the SATIRE-T sunspot-to-irradiance relationship outside the calibration period and on the accuracy of the cosmogenic sunspot series; no explicit free parameters or new entities are named in the abstract.

free parameters (1)
  • SATIRE-T model parameters
    Parameters calibrated on modern observations are required to extend the model; their specific values are not stated in the abstract.
axioms (1)
  • domain assumption The physical relationship between sunspot number and total solar irradiance encoded in SATIRE-T holds for pre-telescopic solar conditions.
    Invoked when the model is extended beyond the telescopic era using the cosmogenic sunspot series.

pith-pipeline@v0.9.0 · 5695 in / 1285 out tokens · 59375 ms · 2026-05-22T03:59:40.725679+00:00 · methodology

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Reference graph

Works this paper leans on

298 extracted references · 298 canonical work pages · 4 internal anchors

  1. [1]

    A&A , author =

    Cyclic sunspot activity during the first millennium. A&A , author =. 2026 , pages =. doi:10.1051/0004-6361/202659038 , language =

    work page doi:10.1051/0004-6361/202659038 2026

  2. [2]

    doi:https://doi.org/10.1038/s41586-024-07679-4 , year =

    Extreme solar storms and the quest for exact dating with radiocarbon , journal =. doi:https://doi.org/10.1038/s41586-024-07679-4 , year =

    work page doi:10.1038/s41586-024-07679-4

  3. [3]

    ApJ , author =

    Type. ApJ , author =. 2017 , pages =. doi:10.3847/1538-4357/aa6afe , language =

    work page doi:10.3847/1538-4357/aa6afe 2017

  4. [4]

    Monthly Notices of the Royal Astronomical Society , author =

    Missing. Monthly Notices of the Royal Astronomical Society , author =. 2020 , anote =. doi:10.1093/mnras/staa059 , abstract =

    work page doi:10.1093/mnras/staa059 2020

  5. [5]

    Monthly Notices of the Royal Astronomical Society , author =

    How much hydrogen is in. Monthly Notices of the Royal Astronomical Society , author =. 2022 , anote =. doi:10.1093/mnras/stac088 , abstract =

    work page doi:10.1093/mnras/stac088 2022

  6. [6]

    and Levesque, Emily M

    Dorn-Wallenstein, Trevor Z. and Levesque, Emily M. and Davenport, James R. A. and Neugent, Kathryn F. and Morris, Brett M. and Bostroem, K. Azalee , month = jun, year =. The

    work page

  7. [7]

    Monthly Notices of the Royal Astronomical Society , author =

    Towards a. Monthly Notices of the Royal Astronomical Society , author =. 2020 , anote =. doi:10.1093/mnras/staa3029 , abstract =

    work page doi:10.1093/mnras/staa3029 2020

  8. [8]

    Core-Collapse Supernovae from 9 to 120 Solar Masses Based on Neutrino-powered Explosions

    Core-. ApJ , author =. 2016 , anote =. doi:10.3847/0004-637X/821/1/38 , abstract =

    work page internal anchor Pith review doi:10.3847/0004-637x/821/1/38 2016

  9. [9]

    Annual Review of Nuclear and Particle Science , author =

    Explosion. Annual Review of Nuclear and Particle Science , author =. 2012 , anote =. doi:10.1146/annurev-nucl-102711-094901 , abstract =

    work page doi:10.1146/annurev-nucl-102711-094901 2012

  10. [10]

    A&A , author =

    A. A&A , author =. 2017 , anote =. doi:10.1051/0004-6361/201730698 , abstract =

    work page doi:10.1051/0004-6361/201730698 2017

  11. [11]

    Monthly Notices of the Royal Astronomical Society , author =

    A simple approach to the supernova progenitor–explosion connection , volume =. Monthly Notices of the Royal Astronomical Society , author =. 2016 , pages =. doi:10.1093/mnras/stw1083 , abstract =

    work page doi:10.1093/mnras/stw1083 2016

  12. [12]

    Monthly Notices of the Royal Astronomical Society , author =

    Progenitor. Monthly Notices of the Royal Astronomical Society , author =. 2021 , anote =. doi:10.1093/mnras/stab1800 , abstract =

    work page doi:10.1093/mnras/stab1800 2021

  13. [13]

    and Clarke, J

    Baraffe, I. and Clarke, J. and Morison, A. and Vlaykov, D. G. and Constantino, T. and Goffrey, T. and Guillet, T. and Saux, A. Le and Pratt, J. , month = jan, year =. A study of convective core overshooting as a function of stellar mass based on two-dimensional hydrodynamical simulations , url =

    work page

  14. [14]

    ApJ , author =

    The cosmic carbon footprint of massive stars stripped in binary systems , volume =. ApJ , author =. 2021 , anote =. doi:10.3847/1538-4357/ac2f44 , abstract =

    work page doi:10.3847/1538-4357/ac2f44 2021

  15. [15]

    , keywords =

    A statistical study of 233 pulsar proper motions , volume =. Monthly Notices of the Royal Astronomical Society , author =. 2005 , anote =. doi:10.1111/j.1365-2966.2005.09087.x , abstract =

    work page doi:10.1111/j.1365-2966.2005.09087.x 2005

  16. [16]

    2009 , pages =

    ApJ , author =. 2009 , pages =. doi:10.1088/0004-637X/703/2/2205 , language =

    work page doi:10.1088/0004-637x/703/2/2205 2009

  17. [17]

    and Mueller, B

    Sykes, B. and Mueller, B. and Cordero-Carrión, I. and Cerdá-Durán, P. and Novak, J. , month = oct, year =. A

    work page

  18. [18]

    E., et al

    Nature Methods , author =. 2020 , anote =. doi:10.1038/s41592-019-0686-2 , abstract =

    work page doi:10.1038/s41592-019-0686-2 2020

  19. [19]

    , keywords =

    How much. Monthly Notices of the Royal Astronomical Society , author =. 2012 , anote =. doi:10.1111/j.1365-2966.2012.20464.x , abstract =

    work page doi:10.1111/j.1365-2966.2012.20464.x 2012

  20. [20]

    ApJ , author =

    Progenitors of. ApJ , author =. 2019 , anote =. doi:10.3847/1538-4357/ab4ad7 , abstract =

    work page doi:10.3847/1538-4357/ab4ad7 2019

  21. [21]

    ApJ , author =

    How. ApJ , author =. 2003 , anote =. doi:10.1086/375341 , abstract =

    work page doi:10.1086/375341 2003

  22. [22]

    ApJ , author =

    A. ApJ , author =. 2008 , pages =. doi:10.1086/590053 , abstract =

    work page doi:10.1086/590053 2008

  23. [23]

    Stellar evolution , url =

    work page

  24. [24]

    Zeitschrift Angewandte Mathematik und Mechanik , author =

    7. Zeitschrift Angewandte Mathematik und Mechanik , author =. 1925 , anote =. doi:10.1002/zamm.19250050212 , urldate =

    work page doi:10.1002/zamm.19250050212 1925

  25. [25]

    Monthly Notices of the Royal Astronomical Society , author =

    The excess of cool supergiants from contemporary stellar evolution models defies the metallicity-independent. Monthly Notices of the Royal Astronomical Society , author =. 2021 , pages =. doi:10.1093/mnras/stab383 , abstract =

    work page doi:10.1093/mnras/stab383 2021

  26. [26]

    The joy of writing a paper , language =

    Sterk, P J and Rabe, K F , pages =. The joy of writing a paper , language =

    work page

  27. [27]

    Monthly Notices of the Royal Astronomical Society , author =

    The search for failed supernovae with the. Monthly Notices of the Royal Astronomical Society , author =. 2015 , anote =. doi:10.1093/mnras/stv776 , abstract =

    work page doi:10.1093/mnras/stv776 2015

  28. [28]

    2022 , pages =

    arXiv e-prints , author =. 2022 , pages =

    work page 2022

  29. [29]

    Monthly Notices of the Royal Astronomical Society , author =

    Numerical experiments to help understand cause and effect in massive star evolution , volume =. Monthly Notices of the Royal Astronomical Society , author =. 2022 , anote =. doi:10.1093/mnras/stac538 , abstract =

    work page doi:10.1093/mnras/stac538 2022

  30. [30]

    Stellar evolution with rotation , abstract =

    Meynet, G and Maeder, A , pages =. Stellar evolution with rotation , abstract =

    work page

  31. [31]

    Physics Reports , author =

    Nucleosynthesis in massive stars and the. Physics Reports , author =. 1993 , anote =. doi:10.1016/0370-1573(93)90058-L , abstract =

    work page doi:10.1016/0370-1573(93)90058-l 1993

  32. [32]

    ApJ , author =

    The. ApJ , author =. 2020 , pages =. doi:10.3847/1538-4357/ab6739 , abstract =

    work page doi:10.3847/1538-4357/ab6739 2020

  33. [33]

    Astronomy and Astrophysics, Vol

    Mass-dependent mass loss rates of. Astronomy and Astrophysics, Vol. 220, p. 135-143 (1989) , author =. 1989 , pages =

    work page 1989

  34. [34]

    ApJ , author =

    The. ApJ , author =. 1993 , anote =. doi:10.1086/172886 , abstract =

    work page doi:10.1086/172886 1993

  35. [35]

    ApJ , author =

    The. ApJ , author =. 1995 , anote =. doi:10.1086/175963 , abstract =

    work page doi:10.1086/175963 1995

  36. [36]

    Burbidge, G.R

    Synthesis of the. Reviews of Modern Physics , author =. 1957 , anote =. doi:10.1103/RevModPhys.29.547 , urldate =

    work page doi:10.1103/revmodphys.29.547 1957

  37. [37]

    ApJ , author =

    An. ApJ , author =. 1993 , anote =. doi:10.1086/173117 , abstract =

    work page doi:10.1086/173117 1993

  38. [38]

    and Black, Diane , month = jul, year =

    Chamba, Nushkia and Knapen, Johan H. and Black, Diane , month = jul, year =. How to plan your astronomy research paper in ten steps , url =

    work page

  39. [39]

    Cambridge University Press , file =

    An. Cambridge University Press , file =

    work page

  40. [40]

    Prialnik, Dina , month = oct, year =. An

    work page

  41. [41]

    A&A , author =

    Different to the core:. A&A , author =. 2021 , pages =. doi:10.1051/0004-6361/202140506 , abstract =

    work page doi:10.1051/0004-6361/202140506 2021

  42. [42]

    and Baklanov, Petr and Mironov, Alexey and Justham, Stephen and Chiavassa, Andrea , month = jul, year =

    Kozyreva, Alexandra and Klencki, Jakub and Filippenko, Alexei V. and Baklanov, Petr and Mironov, Alexey and Justham, Stephen and Chiavassa, Andrea , month = jul, year =. The circumstellar material around the

    work page

  43. [43]

    , year = 1955, month = jan, volume =

    The. ApJ , author =. 1955 , pages =. doi:10.1086/145971 , abstract =

    work page doi:10.1086/145971 1955

  44. [44]

    Astronomy and Astrophysics Review , author =

    The yellow hypergiants , volume =. Astronomy and Astrophysics Review , author =. 1998 , pages =. doi:10.1007/s001590050009 , abstract =

    work page doi:10.1007/s001590050009 1998

  45. [45]

    A&A , author =

    New theoretical mass-loss rates of. A&A , author =. 2000 , pages =

    work page 2000

  46. [46]

    , keywords =

    The. Annual Review of Astronomy and Astrophysics , author =. 2009 , pages =. doi:10.1146/annurev.astro.46.060407.145222 , abstract =

    work page doi:10.1146/annurev.astro.46.060407.145222 2009

  47. [47]

    2019, ApJS, 243, 10, doi: 10.3847/1538-4365/ab2241

    Modules for. ApJ Supplement Series , author =. 2019 , anote =. doi:10.3847/1538-4365/ab2241 , abstract =

    work page doi:10.3847/1538-4365/ab2241 2019

  48. [48]

    Modules for Experiments in Stellar Astrophysics (MESA): Convective Boundaries, Element Diffusion, and Massive Star Explosions

    Modules for. ApJ Supplement Series , author =. 2018 , anote =. doi:10.3847/1538-4365/aaa5a8 , abstract =

    work page internal anchor Pith review doi:10.3847/1538-4365/aaa5a8 2018

  49. [49]

    Modules for Experiments in Stellar Astrophysics (MESA): Binaries, Pulsations, and Explosions

    Modules for. ApJ Supplement Series , author =. 2015 , anote =. doi:10.1088/0067-0049/220/1/15 , abstract =

    work page internal anchor Pith review doi:10.1088/0067-0049/220/1/15 2015

  50. [50]

    , archivePrefix = "arXiv", eprint =

    Modules for. ApJ Supplement Series , author =. 2011 , anote =. doi:10.1088/0067-0049/192/1/3 , abstract =

    work page doi:10.1088/0067-0049/192/1/3 2011

  51. [51]

    2005 , month =

    Low-. ApJ , author =. 2005 , anote =. doi:10.1086/428642 , language =

    work page doi:10.1086/428642 2005

  52. [52]

    ApJ , author =

    The. ApJ , author =. 2020 , anote =. doi:10.3847/1538-4357/ab8cc1 , abstract =

    work page doi:10.3847/1538-4357/ab8cc1 2020

  53. [53]

    Frontiers in Astronomy and Space Sciences , author =

    Full-disc. Frontiers in Astronomy and Space Sciences , author =. 2022 , pages =. doi:10.3389/fspas.2022.1038949 , abstract =

    work page doi:10.3389/fspas.2022.1038949 2022

  54. [54]

    ApJ , author =

    Evolution of. ApJ , author =. 2010 , anote =. doi:10.1088/2041-8205/717/1/L62 , abstract =

    work page doi:10.1088/2041-8205/717/1/l62 2010

  55. [55]

    ApJ , author =

    The. ApJ , author =. 1996 , anote =. doi:10.1086/176778 , abstract =

    work page doi:10.1086/176778 1996

  56. [56]

    ApJ , author =

    The. ApJ , author =. 2013 , anote =. doi:10.1088/0004-637X/767/1/3 , abstract =

    work page doi:10.1088/0004-637x/767/1/3 2013

  57. [57]

    Monthly Notices of the Royal Astronomical Society , author =

    Comparing compact object distributions from mass- and presupernova core structure-based prescriptions , volume =. Monthly Notices of the Royal Astronomical Society , author =. 2022 , anote =. doi:10.1093/mnras/stab3797 , abstract =

    work page doi:10.1093/mnras/stab3797 2022

  58. [58]

    Monthly Notices of the Royal Astronomical Society , author =

    Whatever happened to the progenitors of supernovae 2008cn, 2009kr and 2009md? , volume =. Monthly Notices of the Royal Astronomical Society , author =. 2015 , anote =. doi:10.1093/mnras/stu2658 , abstract =

    work page doi:10.1093/mnras/stu2658 2015

  59. [59]

    Monthly Notices of the Royal Astronomical Society , author =

    Dependence of convective boundary mixing on boundary properties and turbulence strength , volume =. Monthly Notices of the Royal Astronomical Society , author =. 2019 , pages =. doi:10.1093/mnras/stz312 , abstract =

    work page doi:10.1093/mnras/stz312 2019

  60. [60]

    ApJ , author =

    Turbulent. ApJ , author =. 2007 , pages =. doi:10.1086/520318 , abstract =

    work page doi:10.1086/520318 2007

  61. [61]

    A&A , author =

    A solar coronal loop in a box:. A&A , author =. 2022 , pages =. doi:10.1051/0004-6361/202141451 , abstract =

    work page doi:10.1051/0004-6361/202141451 2022

  62. [62]

    A&A , author =

    Impact of spatially correlated fluctuations in sunspots on metrics related to magnetic twist , volume =. A&A , author =. 2022 , pages =. doi:10.1051/0004-6361/202243357 , abstract =

    work page doi:10.1051/0004-6361/202243357 2022

  63. [63]

    Monthly Notices of the Royal Astronomical Society , author =

    Modelling of σ. Monthly Notices of the Royal Astronomical Society , author =. 2014 , anote =. doi:10.1093/mnras/stu885 , abstract =

    work page doi:10.1093/mnras/stu885 2014

  64. [64]

    ApJ , author =

    The. ApJ , author =. 1995 , anote =. doi:10.1086/175779 , abstract =

    work page doi:10.1086/175779 1995

  65. [65]

    and Ofek, Eran O

    Strotjohann, Nora L. and Ofek, Eran O. and Gal-Yam, Avishay and Sollerman, Jesper and Chen, Ping and Yaron, Ofer and Zackay, Barak and Rehemtulla, Nabeel and Gris, Phillipe and Masci, Frank J. and Rusholme, Ben and Purdum, Josiah , month = feb, year =. Direct detection of supernova progenitor stars with

    work page

  66. [66]

    ApJ Letters , author =

    Observational. ApJ Letters , author =. 2023 , pages =. doi:10.3847/2041-8213/acb704 , abstract =

    work page doi:10.3847/2041-8213/acb704 2023

  67. [67]

    ApJ , author =

    The. ApJ , author =. 2014 , anote =. doi:10.1088/0004-637X/783/1/10 , abstract =

    work page doi:10.1088/0004-637x/783/1/10 2014

  68. [68]

    Science , author =

    Spin-down by dynamo action in simulated radiative stellar layers , volume =. Science , author =. 2023 , anote =. doi:10.1126/science.abk2169 , abstract =

    work page doi:10.1126/science.abk2169 2023

  69. [69]

    A&A , author =

    Rotating massive main-sequence stars. A&A , author =. 2011 , pages =. doi:10.1051/0004-6361/201016113 , abstract =

    work page doi:10.1051/0004-6361/201016113 2011

  70. [70]

    ApJ , author =

    Presupernova. ApJ , author =. 2000 , anote =. doi:10.1086/308158 , abstract =

    work page doi:10.1086/308158 2000

  71. [71]

    ApJ , author =

    Fallback and. ApJ , author =. 2008 , anote =. doi:10.1086/526404 , abstract =

    work page doi:10.1086/526404 2008

  72. [72]

    ApJ , author =

    Compact. ApJ , author =. 2012 , anote =. doi:10.1088/0004-637X/749/1/91 , abstract =

    work page doi:10.1088/0004-637x/749/1/91 2012

  73. [73]

    ApJ , author =

    The. ApJ , author =. 2015 , anote =. doi:10.1088/0004-637X/801/2/90 , abstract =

    work page doi:10.1088/0004-637x/801/2/90 2015

  74. [74]

    ApJ , author =

    A. ApJ , author =. 2018 , anote =. doi:10.3847/1538-4357/aac2da , abstract =

    work page doi:10.3847/1538-4357/aac2da 2018

  75. [75]

    ApJ , author =

    The. ApJ , author =. 2019 , anote =. doi:10.3847/1538-4357/ab1589 , abstract =

    work page doi:10.3847/1538-4357/ab1589 2019

  76. [76]

    Royal Society Open Science , author =

    Chemical element transport in stellar evolution models , volume =. Royal Society Open Science , author =. 2017 , anote =. doi:10.1098/rsos.170192 , abstract =

    work page doi:10.1098/rsos.170192 2017

  77. [77]

    E., de Koter , A., et al

    Binary. Science , author =. 2012 , pages =. doi:10.1126/science.1223344 , abstract =

    work page doi:10.1126/science.1223344 2012

  78. [78]

    2009 , pages =

    The Astronomical Journal , author =. 2009 , pages =. doi:10.1088/0004-6256/137/2/3358 , language =

    work page doi:10.1088/0004-6256/137/2/3358 2009

  79. [79]

    ApJ , author =

    A. ApJ , author =. 2007 , pages =. doi:10.1086/522073 , abstract =

    work page doi:10.1086/522073 2007

  80. [80]

    ApJ , author =

    Progenitor-. ApJ , author =. 2012 , anote =. doi:10.1088/0004-637X/757/1/69 , abstract =

    work page doi:10.1088/0004-637x/757/1/69 2012

Showing first 80 references.