Convert Earth Escape Velocity to Mach 5
Convert Earth Escape Velocity (v_esc) to Mach 5 (Ma5) instantly and accurately.
Conversion Formula
Ma5 = v_esc × 6.57439243
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 5
Mach 5 ≈ 1,701.45 m/s (6,125 km/h) at ISA sea level - the conventional supersonic/hypersonic boundary. Above Mach 5, stagnation temperatures exceed 1,500°C, air dissociates around the vehicle, and ablative thermal protection becomes mandatory. Space Shuttle re-entered at Mach 25; Soyuz capsules at Mach 27; ICBM warheads at Mach 15-25. NASA X-43A scramjet reached Mach 9.6 (air-breathing record, 2004). 1 Mach 5 = 1,701.45 m/s.
Quick Reference Table
| Earth Escape Velocity (v_esc) | Mach 5 (Ma5) |
|---|---|
| 1 v_esc | 6.57439 Ma5 |
| 2 v_esc | 13.1488 Ma5 |
| 5 v_esc | 32.872 Ma5 |
| 10 v_esc | 65.7439 Ma5 |
| 25 v_esc | 164.36 Ma5 |
| 50 v_esc | 328.72 Ma5 |
| 100 v_esc | 657.439 Ma5 |