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arxiv: 2605.20455 · v1 · pith:X3GX2IBUnew · submitted 2026-05-19 · ⚛️ physics.ao-ph · astro-ph.EP· physics.class-ph· physics.geo-ph· physics.space-ph

Benchmarking Cylindrical Blast Wave Theory Against the OSIRIS-REx Sample Return Capsule Reentry

Elizabeth A. Silber This is my paper

Pith reviewed 2026-05-21 06:21 UTC · model grok-4.3

classification ⚛️ physics.ao-ph astro-ph.EPphysics.class-phphysics.geo-phphysics.space-ph
keywords cylindrical blast wavesinfrasoundhypersonic reentryblast radiusweak shock theorySakurai formulationOSIRIS-RExmeteor acoustics
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The pith

Sakurai formulation of cylindrical blast waves matches OSIRIS-REx reentry infrasound data with 9 percent median error.

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

This paper evaluates six published blast radius formulations and three weak-shock transition coefficients by comparing their predictions to infrasound recorded at 39 stations during the OSIRIS-REx capsule reentry. The capsule provides a clean test case because its geometry, trajectory, and emission points are known from mission data and ray tracing, with no ablation to complicate the source. Sakurai's formulation emerges as the strongest performer for non-ablating bodies, while the Jones/Plooster approach works nearly as well with an appropriate coefficient, and both keep period residuals low. A common Mach-diameter approximation used in meteor studies overestimates the initial blast radius by more than a factor of three when ablation is absent. Readers care because reliable blast-wave models allow better interpretation of acoustic signals from meteors and other hypersonic events whose source details are less certain.

Core claim

The benchmarking study demonstrates that the Sakurai formulation produces the smallest median absolute percentage residuals of 9 percent in predicted signal periods, with the Jones/Plooster formulation achieving 11 percent when a physically suitable transition coefficient is selected. The period predictions exhibit only weak sensitivity to the choice of transition coefficient at the relevant propagation distances. In contrast, the Mach-diameter approximation overestimates the blast radius by more than a factor of three for this non-ablating source. These comparisons establish a performance baseline for cylindrical blast wave theory applied to hypersonic bodies with independently constrained,

What carries the argument

The blast radius R_0, which defines the initial cylindrical shock scale and is used inside a stratified atmospheric propagation model to forecast observable signal period and peak overpressure.

If this is right

  • The Sakurai formulation should be adopted as the preferred choice for modeling infrasound from non-ablating hypersonic reentries.
  • Signal period serves as a robust observable for constraining blast radius even when the transition coefficient carries some uncertainty.
  • Meteor analyses that apply the Mach-diameter approximation without accounting for ablation will produce systematically inflated blast-radius estimates.
  • Cylindrical blast wave theory can be applied with quantified confidence to other controlled reentry events that have similar source constraints.
  • Peak overpressure predictions vary more strongly with model choice than period predictions do at these distances.

Where Pith is reading between the lines

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

  • The benchmark suggests that ablating bodies such as natural meteors may require adjusted effective blast radii, which could be tested by comparing against future controlled reentries that include measured ablation rates.
  • Reprocessing existing meteor infrasound datasets with the Sakurai formulation might revise inferred source energies or sizes.
  • Additional sample-return missions could supply further ground-truth cases to test whether the performance ordering holds across different entry speeds and trajectories.

Load-bearing premise

The ray-tracing results and identified emission points from mission data accurately represent the true infrasound sources and paths without systematic location errors.

What would settle it

A reanalysis of the 39 station records that finds median period residuals for the Sakurai formulation exceeding 20 percent would overturn the ranking of best-performing models.

read the original abstract

Weak shock theory based on cylindrical blast waves has been used to interpret meteor infrasound, but it has not been systematically benchmarked against a non-ablating hypersonic source with independently known parameters. The objective of this study is not to propose a new theoretical framework, but to evaluate the operational validity of the existing suite of blast radius formulations against a high-fidelity ground truth dataset. The OSIRIS-REx Sample Return Capsule reentry on 24 September 2023 provides such a benchmark because the capsule geometry, trajectory, and infrasound emission points are constrained from mission data and ray tracing, reducing source-side uncertainty associated with ablation. Using observations from 39 infrasound stations, this benchmarking study evaluates six published blast radius (R_0) formulations and three weak-shock transition coefficients (C) within a stratified atmospheric propagation model to predict signal period and peak overpressure. The benchmarking identifies the Sakurai formulation as the best-performing formulation for non-ablating bodies, with the Jones/Plooster formulation performing comparably when a physically appropriate C is adopted. Sakurai and Jones/Plooster yield linear-period median absolute percentage residuals of 9% and 11%, respectively. The period predictions show only weak sensitivity to C at these propagation distances. The Mach-diameter approximation commonly used in meteor studies overestimates R_0 by more than a factor of 3 in the absence of ablation. These results establish a performance baseline for applying cylindrical blast wave theory to non-ablating hypersonic bodies and demonstrate that the signal period is a robust observable for constraining R_0.

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

1 major / 2 minor

Summary. The manuscript benchmarks six published cylindrical blast radius (R_0) formulations and three weak-shock transition coefficients (C) against 39 infrasound station observations from the OSIRIS-REx Sample Return Capsule reentry. Source geometry, trajectory, and emission points are taken from mission data plus ray tracing and inserted into a stratified propagation model to predict signal period and peak overpressure. The central result is that the Sakurai formulation yields the lowest median absolute percentage residual (9 %) for linear period, Jones/Plooster is comparable (11 %) with an appropriate C, period predictions are only weakly sensitive to C, and the Mach-diameter approximation overestimates R_0 by more than a factor of three in the absence of ablation.

Significance. If the results hold, the work supplies a needed empirical performance baseline for cylindrical blast-wave theory applied to non-ablating hypersonic bodies, directly addressing the lack of systematic tests against known sources in meteor infrasound studies. The demonstration that signal period remains a robust observable for constraining R_0 is practically useful. The reliance on independently constrained mission parameters and multi-station data strengthens the comparison relative to typical meteor analyses.

major comments (1)
  1. [Source constraints, ray-tracing procedure, and propagation model (methods/results)] The ranking of Sakurai (9 % MAPE) above Jones/Plooster (11 %) and the factor-of-3 overestimation conclusion for the Mach-diameter case rest on the accuracy of the ray-traced emission points. No uncertainty budget, cross-validation against independent travel-time data, or sensitivity tests to plausible perturbations (e.g., 5–10 % range error or 1–2 s timing bias) are reported. Such offsets would shift predicted periods by amounts comparable to the quoted residuals and could alter both the numerical ordering and the Mach-diameter assessment.
minor comments (2)
  1. [Results and discussion] Clarify whether the reported 'linear-period' residuals are computed on period itself or on a transformed variable, and state explicitly how the three C values were selected for each formulation.
  2. [Figures and captions] Figure captions should include the exact number of stations retained after quality control and any exclusion criteria applied to the 39-station dataset.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their constructive comments and positive assessment of the manuscript's significance. We address the major comment below and will make revisions to strengthen the analysis.

read point-by-point responses

  1. Referee: The ranking of Sakurai (9 % MAPE) above Jones/Plooster (11 %) and the factor-of-3 overestimation conclusion for the Mach-diameter case rest on the accuracy of the ray-traced emission points. No uncertainty budget, cross-validation against independent travel-time data, or sensitivity tests to plausible perturbations (e.g., 5–10 % range error or 1–2 s timing bias) are reported. Such offsets would shift predicted periods by amounts comparable to the quoted residuals and could alter both the numerical ordering and the Mach-diameter assessment.

    Authors: We agree that an explicit uncertainty budget and sensitivity analysis would improve the robustness of the reported rankings and conclusions. The emission points were derived from high-precision OSIRIS-REx mission telemetry for trajectory and geometry, combined with ray tracing in a stratified atmosphere to match observed arrivals. While the original manuscript did not include a formal uncertainty quantification or the suggested sensitivity tests, we will add these in revision. Specifically, we will introduce a new subsection quantifying the effects of 5–10 % range perturbations and 1–2 s timing biases on predicted periods, MAPE values, formulation ordering, and the Mach-diameter overestimation factor. We will also discuss the documented precision of the mission data and any potential systematic effects in the ray-tracing procedure. These additions will confirm the stability of our central results. revision: yes

Circularity Check

0 steps flagged

No circularity: direct comparison of published formulations to independent mission data

full rationale

The paper applies six existing published blast-radius formulations and three transition coefficients inside a stratified propagation model whose source locations and trajectory are taken from external OSIRIS-REx mission data plus ray tracing. Predicted periods and overpressures are then compared to observations at 39 independent stations, yielding reported median absolute percentage residuals. No equation inside the paper defines a quantity in terms of itself, no parameter is fitted to the target residuals, and no load-bearing step reduces to a self-citation whose validity depends on the present results. The analysis is therefore a straightforward external benchmark whose central claims rest on the mismatch between model outputs and separate observational data.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The study relies on six previously published blast-radius formulations, three published weak-shock transition coefficients, a stratified atmospheric propagation model, and ray-tracing-derived emission points. No new free parameters or invented entities are introduced; the central claim rests on the accuracy of the external mission trajectory data and the propagation model assumptions.

axioms (1)
  • domain assumption Stratified atmospheric propagation model accurately predicts travel times and amplitudes at the observed distances
    Invoked to convert source R0 to observed period and overpressure (abstract).

pith-pipeline@v0.9.0 · 5833 in / 1231 out tokens · 31460 ms · 2026-05-21T06:21:31.603258+00:00 · methodology

discussion (0)

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