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Nominal coast lifetime
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Time still needed after failure
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Min. safe altitude (nominal sat)
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Ballistic coefficient
Survivability window
Green = the orbit lasts long enough to finish the mission after a mid-mission failure; red = it decays first. Drag area held at the nominal value.
Survives (margin ≥ 2×)
Survives (tight)
Marginal (≈ break-even)
Fails (decays)
Fails badly (< ½ needed)
Break-even contour
Coast lifetime vs. altitude
Band spans your mass range (heavier = longer life). The dashed line is the time still needed after the failure; where the band crosses it is your minimum safe altitude.
What matters most
Each bar shows how much the coast lifetime swings as one input moves across its plausible range while the others stay at nominal. Longer bar = more leverage over survival.
Model & assumptions
- Near-circular orbit, drag-only secular decay:
da/dt = -(CdA/m)·ρ(h)·√(μa), integrated to a ~120 km reentry floor. - Atmosphere: piecewise-exponential (US Standard Atmosphere / Vallado), scaled by the solar-activity multiplier — the single biggest real-world swing in LEO lifetime.
- "Effective drag area" is the time-averaged ram-facing area; a tumbling or sun-tracking sat varies this. Cd ≈ 2.2 is typical free-molecular flow.
- Screening-grade, order-of-magnitude estimate — not a high-fidelity reentry predictor. No J2/lunar-solar perturbations, no eccentricity growth, no attitude model.