Cycle life vs depth of discharge
Battery wear grows sharply with depth of discharge. This tool uses exponential heritage fits N = exp(a − b·DoD) anchored to widely-quoted space values (Li-ion ≈ 60 k cycles at 20% DoD, NiH₂ ≈ 40 k at 40%, NiCd ≈ 20 k at 25%). Inverting for the mission cycle count gives the max allowed DoD:
DoD_max = (a − ln N_mission)/b
The number of cycles is set by the orbit: one per eclipse. That is why LEO designs (tens of thousands of cycles) run 20–30% DoD while GEO designs (~1 350 cycles in 15 yr) can run 60–80%.
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