Calculadora de Aceleração Gravitacional

Calcule a aceleração gravitacional na superfície de qualquer corpo celeste.

kg
m

Gravidade Superficial

9.8195 m/s²

In Earth g1.0013 g

Surface Gravity vs Body Mass

Formula

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.

    Exemplo Resolvido

    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

    Perguntas Frequentes

    Why does Mars have lower gravity than Earth?

    Mars has about 11% of Earth's mass and 53% of its radius, giving about 38% of Earth's surface gravity.

    Does this formula work above the surface?

    Yes, replace r with the distance from the centre (body radius + altitude). Gravity decreases as 1/r².

    What is standard gravity?

    Standard gravity is defined as exactly 9.80665 m/s².

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