Convert Kilometres per second squared to Metres per second squared

Convert Kilometres per second squared (km/s²) to Metres per second squared (m/s²) instantly and accurately.

Conversion Formula

m/s² = km/s² × 1000

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.

About Metres per second squared

The metre per second squared (m/s²) is the SI coherent derived unit of acceleration, defined as Δv/Δt (m/s per s). It makes Newton's second law F = ma dimensionally consistent with the newton (1 N = 1 kg·m/s²). Key reference values: standard gravity g₀ = 9.80665 m/s² (exact); ISS centripetal acceleration ≈ 8.68 m/s²; Falcon 9 max axial load ≈ 49 m/s² (5 g₀); human tolerance limit for sustained acceleration ≈ 30 m/s². All SI engineering and simulation software uses m/s² as the native acceleration unit. 1 m/s² = 100 Gal ≈ 0.102 g₀ ≈ 3.281 ft/s².

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