Convert Standard gravity to Kilometres per second squared
Convert Standard gravity (g₀) to Kilometres per second squared (km/s²) instantly and accurately.
Conversion Formula
km/s² = g₀ × 0.00980665
About Standard gravity
Standard gravity (g₀) is defined as exactly 9.80665 m/s² by the 3rd CGPM (1901), chosen to approximate surface gravity at ~45.5° latitude. It is the universal reference for human g-tolerance: fighter pilots sustain up to +9 g₀ with G-suit; sustained +3 g₀ causes greyout unprotected; F1 drivers experience +5 g₀ lateral and -4 g₀ braking. Pound-force is defined as 0.45359237 kg × g₀ = 4.44822 N (exact). Rocket specific impulse in seconds = thrust / (mass flow × g₀). 1 g₀ = 9.80665 m/s² = 980.665 Gal ≈ 32.174 ft/s² ≈ 35.304 km/h/s.
About Kilometres per second squared
The kilometre per second squared (km/s²) equals 1000 m/s², useful in astrodynamics where velocities are naturally in km/s. Solar system surface gravities: Earth ≈ 9.807 × 10⁻³ km/s², Moon ≈ 1.62 × 10⁻³ km/s², Jupiter ≈ 0.0248 km/s², Sun ≈ 0.274 km/s². Spacecraft trajectory simulators (GMAT, STK) express perturbation accelerations in km/s² through the equation of motion ā = -μr/r³ + δa_perturb. Ion engine thrust on a 600 kg probe (8 mN) gives ≈ 1.3 × 10⁻⁸ km/s². 1 km/s² = 1000 m/s² ≈ 101.97 g₀.
Quick Reference Table
| Standard gravity (g₀) | Kilometres per second squared (km/s²) |
|---|---|
| 1 g₀ | 0.00980665 km/s² |
| 2 g₀ | 0.0196133 km/s² |
| 5 g₀ | 0.0490333 km/s² |
| 10 g₀ | 0.0980665 km/s² |
| 25 g₀ | 0.245166 km/s² |
| 50 g₀ | 0.490333 km/s² |
| 100 g₀ | 0.980665 km/s² |