Convert Earth Escape Velocity to Mach 1
Convert Earth Escape Velocity (v_esc) to Mach 1 (Ma) instantly and accurately.
Conversion Formula
Ma = v_esc × 32.87196215
About Earth Escape Velocity
Earth's escape velocity = 11,186 m/s at the surface - v_esc = √(2GM/r). A spacecraft launched at this speed (any direction) escapes on a parabolic trajectory; less gives an elliptical orbit. Apollo's trans-lunar injection exceeded this to reach the Moon. Voyager, Pioneer, and New Horizons all exceeded 11.2 km/s at launch. Moon escape velocity 2.38 km/s; Mars 5.03 km/s; Jupiter 59.5 km/s. 1 Earth v_esc ≈ 11,186 m/s = 40,270 km/h.
About Mach 1
Mach 1 = the speed of sound in dry air at ISA sea-level (15°C, 101.325 kPa) = exactly 340.29 m/s (1,225 km/h; 761 mph). Chuck Yeager first exceeded it on 14 October 1947 in the Bell X-1. At 35,000 ft cruise altitude (−56.5°C), it falls to 295.1 m/s. Flight regimes: subsonic
Quick Reference Table
| Earth Escape Velocity (v_esc) | Mach 1 (Ma) |
|---|---|
| 1 v_esc | 32.872 Ma |
| 2 v_esc | 65.7439 Ma |
| 5 v_esc | 164.36 Ma |
| 10 v_esc | 328.72 Ma |
| 25 v_esc | 821.799 Ma |
| 50 v_esc | 1643.6 Ma |
| 100 v_esc | 3287.2 Ma |