Cosmic Velocity - Third to Mile per Second

The third cosmic velocity is approximately 16,700 m/s (16.7 km/s), the minimum speed to escape the Sun's gravity from Earth's orbital position.

v₃ = √(v_sun² - v_Earth²) where v_sun is solar escape velocity from Earth's orbit. Approximately 16.7 km/s relative to Earth.

To km/h: × 3,600. To mph: × 37,282. 16.7 km/s = 60,120 km/h = 37,344 mph.

Voyager missions, future interstellar probes, and calculations for leaving the solar system.

Voyager 1: ~17 km/s relative to Sun (achieved via Jupiter gravity assist). Parker Solar Probe: 163 km/s peak (but toward Sun, not away).

Thinking Voyager was launched at 16.7 km/s — it used gravity assists. Also, confusing with speed needed to escape from Sun's surface (618 km/s).

~17 km/s to leave the solar system from Earth's orbit. Voyagers achieved this with gravity assists from planets.

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.