Convert Sextants to Nanoradians
Convert Sextants (sxt) to Nanoradians (nrad) instantly and accurately.
Conversion Formula
nrad = sxt × 1047197551
About Sextants
A sextant, as an angle unit, equals 1/6 of a full circle - π/3 rad = exactly 60°. The marine sextant (invented ~1730s by John Hadley and Thomas Godfrey) measures the altitude between a celestial body and the horizon; its 60° arc gives 120° measurement range via double reflection. The 60° angle is geometrically fundamental: equilateral triangles, regular hexagons, hexagonal crystal structures, and sp²-hybridised carbon (benzene, graphene) all exhibit 60° symmetry. 1 sextant = 60° = π/3 rad = 100 grad.
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.
Quick Reference Table
| Sextants (sxt) | Nanoradians (nrad) |
|---|---|
| 1 sxt | 1.047 × 109 nrad |
| 2 sxt | 2.094 × 109 nrad |
| 5 sxt | 5.236 × 109 nrad |
| 10 sxt | 1.047 × 1010 nrad |
| 25 sxt | 2.618 × 1010 nrad |
| 50 sxt | 5.236 × 1010 nrad |
| 100 sxt | 1.047 × 1011 nrad |