Convert Milliradians per second to Degrees per hour
Convert Milliradians per second (mrad/s) to Degrees per hour (°/h) instantly and accurately.
Conversion Formula
°/h = mrad/s × 206.2648062
About Milliradians per second
The milliradian per second (mrad/s) is 10⁻³ rad/s, used in precision guidance and antenna pointing. Phased-array radar beam steering rates for track-while-scan modes are typically 10-1000 mrad/s. LEO Earth-observation satellites (Sentinel-2, WorldView-3) manoeuvre between imaging targets at 5-20 mrad/s and slew at 50-200 mrad/s. Industrial robot wrist joints (KUKA, Fanuc) operate at 17-175 mrad/s. Optical encoders (Heidenhain RON 905) can measure angular velocity to 0.1 mrad/s accuracy. 1 mrad/s = 10⁻³ rad/s ≈ 0.0573 °/s ≈ 9.549 × 10⁻³ rpm.
About Degrees per hour
The degree per hour (°/h) equals π/648000 rad/s ≈ 4.848 × 10⁻⁶ rad/s, the universal benchmark for gyroscope drift rate. Performance tiers: consumer MEMS (smartphone) 30-2000 °/h; tactical grade (guided munitions) 0.1-30 °/h; navigation grade (commercial aircraft) 0.001-0.1 °/h; strategic grade (submarines, ICBMs) below 0.001 °/h. Earth's rotation rate of 15.041 °/h is the calibration reference for every gyrocompass. A 0.01 °/h drift yields about 1.1 km position error after 1 hour of unaided inertial navigation at the equator. 1 °/h ≈ 4.848 × 10⁻⁶ rad/s.
Quick Reference Table
| Milliradians per second (mrad/s) | Degrees per hour (°/h) |
|---|---|
| 1 mrad/s | 206.265 °/h |
| 2 mrad/s | 412.53 °/h |
| 5 mrad/s | 1031.32 °/h |
| 10 mrad/s | 2062.65 °/h |
| 25 mrad/s | 5156.62 °/h |
| 50 mrad/s | 10313.2 °/h |
| 100 mrad/s | 20626.5 °/h |