In vacuum there is no air to carry heat by convection, so a test article exchanges heat with its surroundings by thermal radiation alone. This rig integrates the real Stefan–Boltzmann radiative heat-transfer equation for the article's own temperature T as it sits inside a chamber whose shroud walls are driven to a cycling temperature Tshroud(t), the way sun/eclipse exposure cycles a spacecraft's external temperature once per orbit:
dT/dt = εσA·(T_shroud⁴ − T⁴) / (m·c)
σ = 5.670374×10⁻⁸ W/(m²K⁴) (Stefan–Boltzmann constant)
ε = 0.85 (article surface emissivity)
A = 0.55 m² (article radiating area)
m·c = 7200 J/K (article thermal mass — 8 kg aluminum, c = 900 J/kg·K)
Because m·c is finite, the article's temperature always lags the shroud — its own thermal inertia damps and delays the swing, exactly like a real spacecraft component riding out an orbital thermal cycle. The chart below plots both temperatures live so you can see that lag and the settling behaviour directly.
- Hot / cold shroud temperature — the two extremes the shroud walls cycle between, standing in for direct sun exposure and cold-space eclipse.
- Orbital cycle period — how long one full hot→cold→hot sweep takes; a period much shorter than the article's own thermal time constant (≈ 42 min for these defaults) suppresses its temperature swing, a longer one lets it track the shroud closely.
- Time acceleration — runs simulated seconds faster than real time so a multi-cycle qualification completes in view.
Pass requires the article's temperature to stay inside its qualified operating range, −20 °C to +55 °C, for the full duration of 4 consecutive cycles — the same electronics-box qualification band and cycle count used in real thermal-cycling acceptance testing.