Producing planetary debris exterior to white dwarf Roche radii through sublimative rotational fission
Pith reviewed 2026-05-21 03:11 UTC · model grok-4.3
The pith
Sublimative outgassing spins up small planetesimals to fission at 1-5 Roche radii around white dwarfs within 10 years.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The central claim is that sublimative rotational fission driven by outgassing from water ice, iron, or forsterite allows planetesimals and fragments to break apart outside the rubble-pile Roche limit, at orbital distances of 1-5 Roche radii, on timescales orders of magnitude shorter than those from the YORP effect for white dwarf cooling ages up to about 1 Gyr.
What carries the argument
SYORP (sublimative YORP) torque arising from asymmetric outgassing, quantified by applying the MaMOS model to the sublimation rates of iron cores, forsterite mantles, and water-ice comets and scaling the resulting spin-up with coefficients between 10^{-5} and 10^{-3}.
If this is right
- Debris can form and pollute white dwarfs without the parent body ever reaching pericentres inside the Roche radius.
- Transiting planetary debris observed beyond the Roche limit can be explained by the breakup of scattered comets or asteroids at greater distances.
- Both monotonic and stochastic spin-up produce fission on timescales short enough to be relevant for current observations.
- Drier bodies made of iron or forsterite can still fission via outgassing but only around white dwarfs with cooling ages of 10-100 Myr.
Where Pith is reading between the lines
- The same outgassing torques might allow distant debris to persist or migrate inward over longer times without requiring repeated close encounters.
- Size-dependent fission rates could produce a characteristic cutoff in the smallest fragments that survive to be observed as transiting material.
- If confirmed, the mechanism relaxes the requirement that all polluting material must originate from bodies that were fully disrupted inside the Roche sphere.
Load-bearing premise
The adopted range of SYORP coefficients between 10^{-5} and 10^{-3} together with the MaMOS outgassing rates correctly describe the torque on these materials at white dwarf distances and temperatures.
What would settle it
A survey of small (≲0.1 km) icy fragments at 1-5 Roche radii around white dwarfs younger than 1 Gyr that finds no instances of spin periods shortening to the fission limit within a decade would contradict the predicted SYORP-driven breakup rates.
Figures
read the original abstract
The majority of white dwarfs that host periodic transiting planetary debris do so at distances that exceed the rubble-pile Roche limit, in disagreement with canonical formation models that focus on the tidal disruption of minor planets. Here, we quantify the conditions by which rotational fission due to sublimative outgassing ("SYORP" break-up) can occur outside of the Roche sphere in the distance range of 1-5 Roche radii. We use the Many Materials Orbital Sublimation (MaMOS) model to quantify the outgassing properties of three representative types of planetary materials: cores (iron), mantles (forsterite olivine) and comets (water ice), and characterise the resulting spin-up rate analytically by adopting SYORP coefficients in the range of $10^{-5}-10^{-3}$. We then compare this rate to that generated by the radiative YORP effect with YORP coefficients of $10^{-3}-10^{-2}$, and focus on planetesimals with radii of 0.1, 1.0, and 10 km. We find that for white dwarf cooling ages of up to $\sim$ 1 Gyr, sublimative fission of planetesimals and fragments $\lesssim$ 0.1 km in size due to water ice outgassing occur on observable timescales (within 10 yr), regardless if the spin-up is monotonic or stochastic. Further, these timescales are orders of magnitude shorter than the corresponding YORP fission timescales. For drier planetesimals, both iron and forsterite outgassing can be effective at 10-100 Myr cooling ages. Our results do not substantially differ for strengthless rubble piles versus objects with 1 kPa of internal strength. These findings add to growing evidence that gravitationally scattered comets and asteroids do not need to adopt pericentres within a white dwarf's Roche radius to eventually enrich, or pollute, the star with metals.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript claims that sublimative rotational fission (SYORP) driven by outgassing can produce planetary debris exterior to the white dwarf Roche radius at distances of 1-5 Roche radii. Using the MaMOS model to quantify outgassing rates for iron, forsterite, and water ice, and adopting SYORP coefficients in the range 10^{-5}–10^{-3}, the authors analytically derive that for planetesimals and fragments ≲0.1 km containing water ice, fission occurs on observable timescales (within 10 yr) for white dwarf cooling ages up to ∼1 Gyr. These timescales are orders of magnitude shorter than those from radiative YORP fission (using coefficients 10^{-3}–10^{-2}). Results are insensitive to whether spin-up is monotonic or stochastic and hold for both strengthless rubble piles and objects with 1 kPa internal strength. The work concludes that scattered comets and asteroids need not reach pericentres inside the Roche radius to pollute the star.
Significance. If the adopted coefficient ranges and MaMOS applicability are valid under white dwarf conditions, the paper supplies a concrete, analytically derived mechanism that resolves the observed locations of transiting debris outside the rubble-pile Roche limit. The direct comparison of SYORP and YORP timescales, the material-specific predictions, and the insensitivity to modest internal strength constitute falsifiable outputs that can be tested against cooling-age and debris-size distributions. The approach of feeding an existing outgassing model into a torque calculation with explicit parameter ranges is reproducible and allows straightforward sensitivity checks.
major comments (2)
- [Abstract and model-usage paragraph] Abstract and model-usage paragraph: The central claim that water-ice SYORP fission occurs within 10 yr for R≲0.1 km bodies up to 1 Gyr cooling age rests on the adopted SYORP coefficient range 10^{-5}–10^{-3}. No scaling argument, laboratory calibration, or sensitivity analysis is supplied to justify why this range remains appropriate under the harder UV spectrum and higher flux of young white dwarfs (T_eff∼10^4 K) versus solar-system conditions. A factor-of-10 downward revision in effective torque would push the fission time above the observable threshold and eliminate the claimed orders-of-magnitude advantage over YORP.
- [Results] Results (comparison of rubble-pile vs. 1 kPa strength cases): The statement that results 'do not substantially differ' for strengthless rubble piles versus objects with 1 kPa internal strength is presented without the explicit equations or numerical values used for the strength case in the small-body (0.1 km) regime. Because this regime is load-bearing for the observable-timescale claim, the robustness of the conclusion cannot be assessed from the given information.
minor comments (2)
- [Abstract] Abstract: The opening sentence refers to 'the majority of white dwarfs that host periodic transiting planetary debris' without citing the specific observational sample or papers that establish the distance distribution relative to the Roche limit; adding one or two references would clarify the motivation.
- [Introduction / model section] Notation: The first use of 'SYORP coefficients' and 'YORP coefficients' would benefit from an explicit parenthetical definition or reference to the literature from which the numerical ranges are taken.
Simulated Author's Rebuttal
We thank the referee for their thoughtful and constructive report. We address each major comment below and have revised the manuscript to incorporate additional detail and analysis where appropriate.
read point-by-point responses
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Referee: Abstract and model-usage paragraph: The central claim that water-ice SYORP fission occurs within 10 yr for R≲0.1 km bodies up to 1 Gyr cooling age rests on the adopted SYORP coefficient range 10^{-5}–10^{-3}. No scaling argument, laboratory calibration, or sensitivity analysis is supplied to justify why this range remains appropriate under the harder UV spectrum and higher flux of young white dwarfs (T_eff∼10^4 K) versus solar-system conditions. A factor-of-10 downward revision in effective torque would push the fission time above the observable threshold and eliminate the claimed orders-of-magnitude advantage over YORP.
Authors: We acknowledge that the original manuscript did not include an explicit scaling argument or sensitivity analysis for the SYORP coefficient range under white-dwarf conditions. The adopted range of 10^{-5}–10^{-3} is taken from the existing literature on outgassing torques for solar-system bodies. While the harder UV spectrum and higher flux at young white dwarfs could in principle affect torque efficiency, the MaMOS model already incorporates the resulting higher sublimation rates. To address the referee’s concern directly, the revised manuscript now includes a dedicated sensitivity analysis demonstrating that even a factor-of-10 reduction in the effective SYORP coefficient (down to 10^{-6}) keeps fission timescales for ≲0.1 km water-ice bodies below ∼100 yr at cooling ages up to 1 Gyr, preserving the orders-of-magnitude advantage relative to YORP. A short discussion of why the torque parameterization remains applicable has also been added. revision: yes
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Referee: Results (comparison of rubble-pile vs. 1 kPa strength cases): The statement that results 'do not substantially differ' for strengthless rubble piles versus objects with 1 kPa internal strength is presented without the explicit equations or numerical values used for the strength case in the small-body (0.1 km) regime. Because this regime is load-bearing for the observable-timescale claim, the robustness of the conclusion cannot be assessed from the given information.
Authors: We agree that the original text lacked the explicit equations and numerical values needed to evaluate the 1 kPa strength case for 0.1 km bodies. The revised manuscript now supplies the modified fission criterion that incorporates finite internal strength, together with the computed fission timescales for both the strengthless and 1 kPa cases at R = 0.1 km across the relevant cooling-age range. These values confirm that the difference remains smaller than a factor of ∼2, so the statement that results do not substantially differ is now quantitatively supported. revision: yes
Circularity Check
No significant circularity; parameterized predictions from adopted external ranges
full rationale
The paper's derivation adopts SYORP coefficient ranges (10^{-5}–10^{-3}) and applies the MaMOS model to compute outgassing rates, then analytically derives spin-up timescales for planetesimals of 0.1–10 km radii at 1–5 Roche radii and compares them to YORP. These steps produce conditional predictions based on stated input ranges and model assumptions rather than fitting to white dwarf debris observations or reducing outputs to self-referential definitions. No self-definitional loops, fitted inputs renamed as predictions, or load-bearing self-citations that collapse the central claim are exhibited in the provided text. The chain is self-contained against the external benchmarks of the adopted coefficients and model.
Axiom & Free-Parameter Ledger
free parameters (2)
- SYORP coefficients =
10^{-5} to 10^{-3}
- YORP coefficients =
10^{-3} to 10^{-2}
axioms (2)
- domain assumption MaMOS model correctly quantifies outgassing properties of iron cores, forsterite mantles, and water-ice comets at white dwarf distances.
- domain assumption Planetesimals of radii 0.1, 1, and 10 km are either strengthless rubble piles or possess 1 kPa internal strength.
Lean theorems connected to this paper
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IndisputableMonolith/Cost/FunctionalEquation.leanwashburn_uniqueness_aczel unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
characterise the resulting spin-up rate analytically by adopting SYORP coefficients in the range of 10^{-5}–10^{-3}
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IndisputableMonolith/Foundation/AlphaCoordinateFixation.leanJ_uniquely_calibrated_via_higher_derivative unclear?
unclearRelation between the paper passage and the cited Recognition theorem.
We use the Many Materials Orbital Sublimation (MaMOS) model
What do these tags mean?
- matches
- The paper's claim is directly supported by a theorem in the formal canon.
- supports
- The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
- extends
- The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
- uses
- The paper appears to rely on the theorem as machinery.
- contradicts
- The paper's claim conflicts with a theorem or certificate in the canon.
- unclear
- Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.
Reference graph
Works this paper leans on
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[1]
Aungwerojwit A., et al., 2024, MNRAS, 530, 117 Bertinelli G., Zhou W.-H., Tanga P., 2026, A&A, 707, A135 Bhattacharjee S., et al., 2025, arXiv e-prints, p. arXiv:2502.05502 Blackman J. W., et al., 2021, Nature, 598, 272 Bonsor A., 2026, in Encyclopedia of Astrophysics. pp 564–572, doi:10.1016/B978-0-443-21439-4.00020-1 BottkeJr.W.F.,VokrouhlickýD.,Rubinca...
discussion (0)
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