Convert Nanoradians to NATO Angular Mils
Convert Nanoradians (nrad) to NATO Angular Mils (mil (NATO)) instantly and accurately.
Conversion Formula
mil (NATO) = nrad × 1.018591636e-6
About Nanoradians
A nanoradian (nrad) is one billionth of a radian (10⁻⁹ rad), the smallest angle unit in regular scientific use. LIGO and Virgo gravitational-wave observatories maintain mirror tilts to sub-nanoradian stability - a 1 nrad tilt on a 4 km mirror shifts the reflected beam by 4 nm. Earth-tidal deformation deflects the local plumb line by roughly 50 nrad over a full tidal cycle, measurable with superconducting gravimeters and ring-laser gyroscopes. Synchrotron X-ray beamline mirrors are steered to single-digit nanoradians by piezo actuators. 1 nrad = 10⁻⁹ rad ≈ 0.206 µas.
About NATO Angular Mils
The NATO angular mil equals 1/6,400 of a full circle - π/3,200 rad ≈ 0.9817 mrad. Artillery and mortar crews rely on its practical small-angle equivalence: 1 mil at 1,000 m subtends ~1 m (exact: 0.9817 m), enabling rapid range correction calculations. The 6,400-mil circle divides cleanly: 1,600 mils = 90°, 3,200 mils = 180°. Note: 1 NATO mil ≈ 0.9817 mrad - not the same as a milliradian; the 1.8% difference equals ~18 mm at 1,000 m. 1° ≈ 17.778 NATO mils.
Quick Reference Table
| Nanoradians (nrad) | NATO Angular Mils (mil (NATO)) |
|---|---|
| 1 nrad | 1.019 × 10-6 mil (NATO) |
| 2 nrad | 2.037 × 10-6 mil (NATO) |
| 5 nrad | 5.093 × 10-6 mil (NATO) |
| 10 nrad | 1.019 × 10-5 mil (NATO) |
| 25 nrad | 2.546 × 10-5 mil (NATO) |
| 50 nrad | 5.093 × 10-5 mil (NATO) |
| 100 nrad | 0.000101859 mil (NATO) |