Battery sizing equations
Required capacity: C = P_e·T_e / (DoD·η_dis) — the eclipse energy divided by allowed depth of discharge and the discharge path efficiency.
Cell layout: series cells N_s = ceil(V_bus/V_cell); parallel strings N_p = ceil(C_Ah/C_cell) (+1 if string-out redundancy). Installed capacity = N_s·N_p·V_cell·C_cell.
Recharge: returning the discharged energy with ~10% overcharge in the available sunlight: P_chg = 1.1·E_dis/(η_chg·T_chg) (η_chg ≈ 0.9 folded in).
Typical DoD limits: Li-ion LEO 20–30%, GEO 60–80%; NiH₂ LEO 40%, GEO 80%. See the Cycle Life tool.
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