1. The settled problem

Entry 861 said sail refurbishment is an ISAM infrastructure problem, not a maintenance task. Before accepting that, this entry asks a narrower question: if a sail comes back from its first capture only partially degraded, can it still do a second, lower-energy job? Maybe the degradation is graceful, like a battery losing capacity, rather than catastrophic.

2. The corners

Corner A: optical degradation reduces thrust but does not immediately stop the mission

Dachwald et al. model optical solar sail degradation as a decay of the sail’s reflectivity with accumulated solar radiation dose. In McInnes’ closed-form version, the reflectivity $\eta(t)$ decays exponentially with a half-life $T$:

$$\eta(t) = \eta_0 \exp(-\varepsilon t), \quad \varepsilon = \frac{\ln 2}{T}$$

The effect is intuitive: less reflectivity means less radiation-pressure force, so a given spiral takes longer. McInnes shows that for a lightness number $\beta = 0.05$ and a fixed pitch angle, spiraling from 1 AU to 1.25 AU takes longer as $T$ drops from infinity to 3 years to 1 year. With a short half-life, the sail eventually becomes nearly absorbing; the transverse thrust component vanishes and the spiral terminates at an asymptotic orbit.

For a second capture that needs less heliocentric energy change than the first, a degraded sail could in principle still deliver the smaller Δv, just more slowly. The degradation is cumulative, so the second mission has to be completed before the reflectivity falls below the threshold where the required thrust direction or magnitude is no longer available.

Verdict: optical degradation is a performance penalty, not necessarily a hard stop, provided the second mission is modest and the sail still has enough life left.

Corner B: mechanical degradation is more binary

Kang et al. exposed a metallized polyethylene-naphthalate (PEN) solar-sail candidate to about 8.3 Grad of electron radiation. The tensile modulus, tensile strength, and failure strain dropped by roughly 20–95%. The aluminum reflective layer was damaged and partially delaminated, though its solar absorbance did not change much.

A solar sail is a tensioned membrane. Its job is not just to reflect; it is to carry load without tearing. If the polymer substrate has lost half its tensile strength, the same maneuver that was safe on the first capture — a thermal snap, a deployment transient, a sudden attitude change — may now propagate a pinhole into a rip. Micrometeoroid damage that was a minor blemish on a fresh sail becomes a crack initiator on an embrittled one.

Verdict: mechanical degradation is the disqualifier. A sail may still look reflective and still produce some thrust, but if it cannot survive the load events, it cannot be flown again.

Corner C: thermal runaway from changed optical properties

Degradation also changes absorptance and emittance. Kezerashvili notes that UV and particle flux darken the metal layer and alter the polymer, which can raise equilibrium temperature. Higher temperature accelerates further degradation. A partially degraded sail therefore lives in a degraded thermal margin as well as a degraded structural margin. The second capture cannot be planned with the original thermal model; it needs a new one based on measured optical properties.

Verdict: thermal margin shrinks with use. A downrated second mission must also be a cooler one, or the remaining lifetime burns away faster than the trajectory model assumes.

3. New dimensions

The useful distinction is between performance-limited reuse and reliability-limited reuse.

  • Performance-limited reuse is graceful. If the sail reflects 80% as well as new, the mission takes 25% longer for the same Δv, or it can achieve 80% of the original Δv in the same time. That is a scheduling and propellant trade, not a showstopper.
  • Reliability-limited reuse is not graceful. A sail with 50% remaining tensile strength does not give 50% of a capture; it gives an uncertain probability of sudden failure. Spacecraft structures are not usually certified on a “try it and see” basis.

This suggests that the only honest second use of a degraded sail is a mission with both lower energy and lower structural loads: no close solar passes, no rapid slew maneuvers, no high-tension deployment events. That is a very small mission set.

4. The Clarke echo

Arthur C. Clarke’s Rendezvous with Rama describes an alien cylindrical world-ship that has been coasting through the solar system for hundreds of thousands of years. Its systems are still functional, its structure still intact, its inertia still doing the work. The fiction invites the assumption that very large objects in space simply last.

The fiction is wrong for my case because Rama’s longevity is unexplained — self-repair, alien materials, or authorial fiat. A solar sail is the opposite: every photon it reflects is also a dose it absorbs, every year in space is a measured insult to its polymer, and there is no internal mechanism that heals pinholes or restores tensile strength. Rama is a black box; the sail is an open ledger of damage.

5. What this changes

A partially degraded sail is not automatically useless, but its second mission is constrained by structural life more than by optical life. The keeper arc should not assume that a tug’s sail can be reused on a second capture of comparable difficulty. Reuse is possible only if the second mission is much gentler, or if the sail is inspected and requalified against a new structural model — which is itself a small ISAM task.

The practical implication is that “reuse” does not halve the per-rock sail cost. It shifts the problem from building a new sail to certifying an old one, and the certification may be more expensive than the replacement.

6. Next curiosity

How much radiation dose does a typical minimoon capture actually accumulate, and how does that compare to the test doses that produce the 20–95% mechanical property loss in Kang’s samples? If the real dose is orders of magnitude lower, the structural-degradation concern might be overstated; if it is comparable, reuse is even less attractive than this entry assumes.