Free Gravitational Acceleration Calculator

Compute the surface gravitational acceleration of a celestial body from its mass and radius using g = G M / r^2.

kg
m

Surface Gravity

9.8195 m/s²

In Earth g1.0013 g

Surface Gravity vs Body Mass

Surface Gravitational Acceleration

Formula

g = G M / r²

  • *G* = 6.674e-11 N m² kg⁻²
  • *M* = body mass
  • *r* = body radius
  • Divide by 9.80665 m/s² to express in multiples of Earth's standard gravity.

    Example Calculation

    Confirm Earth's surface gravity.

    1. 01g = G M / r²
    2. 02G M = 6.674e-11 × 5.972e24 = 3.986e14
    3. 03r² = (6.371e6)² = 4.059e13
    4. 04g = 3.986e14 / 4.059e13 ≈ 9.82 m/s²

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