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The Tyranny of the Rocket Equation
Δv = Isp × g₀ × ln(m₀ / m_f). Every kilogram of biological habitat, drinking water, CO₂ scrubbers, and radiation shielding requires exponential propellant at launch. This fundamental physics law explains why human exploration programs demand vast sustained national funding compared to compact robotic landers.
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Armstrong's 17-Second Margin
During Apollo 11, computer alarms (1202 & 1201) and boulder fields forced Neil Armstrong to fly horizontally past West Crater in manual P66 mode. He touched down with less than 20 seconds of propellant before a mandated abort or engine cutoff crash.
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Surveyor Precision & Artemis Dust Hazards
Apollo 12 proved pinpoint landing by touching down 163 meters from the unmanned Surveyor 3 probe. Apollo astronauts discovered high-velocity lunar dust blasted by rocket plumes sandblasts nearby equipment and tears spacesuit bearings, presenting severe mechanical challenges for permanent bases.