Convert Gradians per second to Nanoradians per second

Convert Gradians per second (gon/s) to Nanoradians per second (nrad/s) instantly and accurately.

Conversion Formula

nrad/s = gon/s × 15707963.27

About Gradians per second

The gradian per second (gon/s) equals π/200 rad/s ≈ 0.01571 rad/s, where the gradian (1 gon = 0.9°) divides the right angle into 100 equal parts. Introduced during the French Revolution as part of decimal reform, the gradian remains the standard angular unit in European continental surveying: total stations (Leica TS16, Trimble S9) sold in Germany, France, and Scandinavia default to gon; Austrian and Swiss cadastral land registers record all bearings in gon. DIN 18709 specifies survey work in gon; ISO 80000-3 acknowledges the unit. 1 gon/s = π/200 rad/s ≈ 0.9 °/s ≈ 0.15 rpm.

About Nanoradians per second

The nanoradian per second (nrad/s) is 10⁻⁹ rad/s, accessible only to the most sensitive geodetic rotation sensors. The Wettzell G-ring laser gyroscope (4 m × 4 m Sagnac interferometer, Bavaria) measures Earth's rotation of ~72.92 µrad/s to a few nrad/s, resolving the Chandler wobble and polar motion. The proposed GINGER experiment targets the Lense-Thirring gravitomagnetic frame-dragging effect, predicted at ~39 nrad/s. State-of-the-art tactical-grade MEMS gyroscopes reach ~100 nrad/s/√Hz noise floors. 1 nrad/s = 10⁻⁹ rad/s ≈ 7.46 × 10⁻⁷ rpm.

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