Radiator sizing relations
Area: A = Q·(1+margin) / (η·(ε·σ·T⁴ − q_abs)) — emission minus the absorbed environment flux, derated by fin/coupling efficiency η.
Cold case: with the sized area fixed, T_cold = [(Q_cold/(η·A) + q_abs,cold)/(ε·σ)]^0.25; if below the minimum allowed temperature, heaters make up Q_htr = η·A·(ε·σ·T_min⁴ − q_abs,cold) − Q_cold.
Typical net capacities: an OSR radiator at 40 °C facing deep space rejects ~400 W/m²; a white-painted face seeing albedo/IR nets far less. Louvers or heat switches can cut the cold-case heater penalty.
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