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REVIEW 2 minor

Scaling relations for solar-like oscillations: a review

T0 review · 0 major / 2 minor · reviewed 2026-05-24 · grok-4.3

Pith's one-line read Scaling relations for solar-like oscillations can be reversed to derive stellar parameters, with updates proposed to improve accuracy.

desk verdict A clean review that gathers scaling relations and their updates with pros/cons but introduces nothing new. read the letter →

arxiv 1907.10457 v1 pith:RLL43MZC submitted 2019-07-24 astro-ph.SR

classification astro-ph.SR
keywords solar-likeoscillationsscalingrelationsasteroseismologystellarparametersmassradiuseffectivetemperatureconvectiveenvelopes
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 review examines scaling relations that translate features of the Sun's stochastic low-degree oscillation modes to predict similar oscillations in other stars with convective outer layers, using the stars' mass, radius, and effective temperature. The relations were originally for prediction but have been inverted to estimate stellar parameters from observed oscillations. The paper presents proposed updates to the relations and reference values to suit this reversed application, along with an evaluation of the strengths and weaknesses of different approaches.

What carries the argument

The scaling relations that connect the frequency of maximum oscillation power and the large frequency separation to stellar mass, radius, and effective temperature.

What would settle it

An independent measurement of a star's mass or radius by methods such as interferometry or binary orbit analysis that deviates significantly from the value derived using the updated scaling relations.

Watch

Extended reading notes

Core claim

The scaling relations provide a translation of the features of the stochastic low-degree modes of oscillation in the Sun to predict the features of solar-like oscillations in other stars with convective outer layers based on stellar mass, radius and effective temperature. Over time, the original scaling relations have been reversed in their use from predicting features of solar-like oscillations to deriving stellar parameters. Updates to the scaling relations as well as their reference values have been proposed to accommodate for the different requirements set by the change in their use, and this review presents the suggestions for improving the accuracy of the estimates of stellar parameter

Load-bearing premise

The scaling relations remain valid when applied to stars outside the solar calibration sample and the reviewed updates reduce rather than mask systematic errors in the reversed use for parameter derivation.

Editorial extensions

If this is right

  • More accurate estimates of stellar masses, radii, and effective temperatures for stars exhibiting solar-like oscillations.
  • Explicit weighing of advantages and disadvantages for each proposed update to the scaling relations or reference values.
  • Better alignment of the relations with the requirements of parameter derivation rather than forward prediction of oscillation features.
  • Identification of remaining limitations when applying the relations beyond the solar reference case.

Reading between the lines

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

  • Refined parameters could improve age estimates for field stars and clusters that show solar-like oscillations.
  • Application to exoplanet host stars would propagate more precise stellar values into planetary radius and mass determinations.
  • Systematic comparison of multiple update approaches on the same set of stars could reveal which corrections best reduce residuals against independent data.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

0 major / 2 minor

Summary. This review summarizes the scaling relations for solar-like oscillations, which originally predict oscillation features in other stars from mass, radius, and effective temperature, and their subsequent reversal to derive stellar parameters. It covers proposed updates to the relations and reference values, presents suggestions for improving accuracy of parameter estimates, and discusses the pros and cons of different approaches.

Significance. As a review that compiles existing suggestions and trade-offs without introducing new derivations or data, the manuscript could serve as a useful reference for the asteroseismology community if the summaries are accurate and balanced. It provides no machine-checked proofs, reproducible code, or falsifiable predictions, so its value rests entirely on faithful representation of the cited literature.

minor comments (2)
  1. Abstract: the phrase 'over time' is vague; specifying the approximate decade when reversal became common would help readers gauge the scope of the review.
  2. The manuscript should include a brief table or list in an early section enumerating the main suggested updates (e.g., reference values, correction factors) to make the subsequent pros/cons discussion easier to follow.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive summary of the manuscript and for recommending minor revision. No specific major comments were raised in the report.

Circularity Check

0 steps flagged · score 0.0 of 10

Review paper: no derivations or predictions performed

full rationale

This is a literature review summarizing existing scaling relations for solar-like oscillations, their historical reversal for parameter estimation, proposed updates from the literature, and pros/cons of approaches. No new equations, fits, predictions, or derivations are introduced by the paper itself. All content is descriptive reporting on prior work, with no load-bearing steps that reduce to fitted inputs or self-citations by construction. The central claim is that suggestions and trade-offs are presented, which holds independently of any internal reduction.

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

As a review the paper introduces no new free parameters, axioms or entities; it discusses scaling relations whose parameters originate in the cited literature.

how reviews work

0 comments
Cite this review

Pith. "Pith review of Scaling relations for solar-like oscillations: a review." pith.science (2026). https://pith.science/paper/RLL43MZC

@misc{pith2026190710457,
  author       = {Pith},
  title        = {Pith review of: Scaling relations for solar-like oscillations: a review},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/RLL43MZC}},
  note         = {Machine review of arXiv:1907.10457}
}
read the original abstract

The scaling relations for solar-like oscillations provide a translation of the features of the stochastic low-degree modes of oscillation in the Sun to predict the features of solar-like oscillations in other stars with convective outer layers. This prediction is based on their stellar mass, radius and effective temperature. Over time, the original scaling relations have been reversed in their use from predicting features of solar-like oscillations to deriving stellar parameters. Updates to the scaling relations as well as their reference values have been proposed to accommodate for the different requirements set by the change in their use. In this review the suggestions for improving the accuracy of the estimates of stellar parameters through the scaling relations for solar-like oscillations are presented together with a discussion of pros and cons of different approaches.

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Reviewed May 24, 2026 · model on record in the stance chip above.