Escape Velocity of the Earth

vesc,⊕=11,186 m/sv_{\mathrm{esc},\oplus} = 11,186\ \text{m/s}
Value11,186 m/s
StatusConventional / typical value
SourceDerived from GM⊕ and the IUGG mean radius
CategoriesAstronomical
Escape Velocity of the Earth in every speed unit
millimeter per year353,003,310,000,000 mm/yr
millimeter per day966,470,400,000 mm/day
millimeter per hour40,269,600,000 mm/h
inch per day38,050,016,000 in/day
foot per day3,170,834,600 ft/d
inch per hour1,585,417,300 in/h
meter per day966,470,400 m/d
millimeter per minute671,160,000 mm/min
meter per hour40,269,600 m/h
inch per minute26,423,622 in/min
millimeter per second11,186,000 mm/s
foot per minute2,201,968.5 ft/min
centimeter per second1,118,600 cm/s
meter per minute671,160 m/min
inch per second440,393.7 in/s
kilometer per hour40,269.6 km/h
foot per second36,699.475 ft/s
mile per hour25,022.369 mph
knot21,743.844 kn
meter per second11,186 m/s
mach (sea level)32.871576 Ma
kilometer per second11.186 km/s
speed of light0.00003731248 c

Learning zone

From √(2GM⊕/R) with the mean radius, escape velocity is 11.19 km/s — Mach 33, and exactly √2 times the 7.91 km/s needed merely to circle the planet at the surface. No chemical rocket reaches it in a single impulsive burn; launchers climb gradually while fighting gravity and drag losses, so the real delta-v to escape from the ground is closer to 13–14 km/s. Launching eastward near the equator gets you up to 0.46 km/s of it for free from Earth's rotation, which is why Kourou and Cape Canaveral are where they are.

Escape velocity also governs what an atmosphere can keep. Molecules in the high-temperature exosphere follow a Maxwell–Boltzmann distribution, and any species whose typical thermal speed climbs within about a sixth of escape velocity leaks away over geological time — which is why Earth retains nitrogen, oxygen and water vapour but has lost essentially all of its primordial hydrogen and helium.