Cosmic Velocity - Third to Mach (SI Standard)

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.

Mach (SI standard) uses the speed of sound at 0°C and 1 atm (295.0464 m/s) as the reference, based on SI standard conditions.

Mach (SI) = velocity / 295.0464 m/s. At 0°C, 1 atm: speed of sound ≈ 295 m/s (colder than 20°C).

To m/s (at 0°C): × 295.05. To km/h (at 0°C): × 1,062. To Mach (20°C): × 0.859.

Rarely used in practice. Theoretical aerodynamics at SI conditions, some scientific papers.

Mach 1 (SI) = 295 m/s, while Mach 1 (20°C) = 343.6 m/s. Same Mach number, different actual speeds depending on definition.

Assuming all Mach numbers use the same reference — they don't. Always check temperature and pressure conditions.

Rarely encountered. Mach 1 (SI) = 295 m/s at 0°C. Standard aviation Mach uses different conditions. Know your reference!