Cosmic Velocity - First to Mile per Second

The first cosmic velocity (escape velocity from Earth's surface to orbit) is approximately 7,900 m/s (7.9 km/s), the minimum speed needed to achieve Earth orbit.

v₁ = √(GM/r) where G is gravitational constant, M is Earth's mass, r is Earth's radius. Approximately 7.9 km/s.

To km/h: × 3,600. To mph: × 17,672. 7.9 km/s = 28,440 km/h = 17,672 mph.

Minimum speed for satellites, space station orbit, and low Earth orbit (LEO) calculations.

ISS orbits at ~7.66 km/s. Below this speed, you fall back to Earth. Above it, you stay in orbit (if horizontal).

Confusing with escape velocity (second cosmic velocity, 11.2 km/s) — orbital velocity is lower.

Remember: ~8 km/s for orbit, ~11 km/s to escape. v₁ is minimum for orbit, not escape.

Mile per second measures statute miles traveled in one second. An extremely high speed unit used for spacecraft, missiles, and astronomical phenomena.

1 mi/s = 60 mi/min = 3,600 mph = 1,609.344 m/s = 5,793 km/h.

To mph: × 3,600. To km/h: × 5,793. To m/s: × 1,609.344.

Earth's orbital speed: 18.5 mi/s. Moon's orbital speed: 0.64 mi/s. Space shuttle orbital: 4.9 mi/s. Escape velocity: 6.95 mi/s.

Earth escape velocity: 6.95 mi/s (11.2 km/s). Solar escape (from Earth): 26 mi/s. Fastest spacecraft (Parker Solar Probe): 120 mi/s peak.

Underestimating how fast this is — 1 mi/s is 3,600 mph, incredibly fast. Confusing with mi/min (60× slower).

Think 'space speeds in miles.' 1 mi/s ≈ 1.6 km/s. To escape Earth: ~7 mi/s. Orbital speed: ~5 mi/s.