Surface Gravity Calculator
Surface gravity (g) is the gravitational acceleration at the surface of a planet or other spherical body, given by g = GM/r², where G = 6.674 × 10^-11 N m²/kg² is Newton's gravitational constant, M is the body's total mass in kilograms, and r is its mean radius in meters. This determines how heavy objects feel on the surface and how quickly things fall. Earth defaults are pre-filled (mass = 5.972 × 10^24 kg, radius = 6,371 km), but you can enter values for any body. The result is in m/s² and also expressed as a multiple of Earth's standard gravity (1 g = 9.80665 m/s²).
Surface gravity formula
g = G × M / r²
Where G = 6.674 × 10^-11 N m²/kg² (NIST), M is mass (kg), and r is radius (m). Earth's standard gravity is exactly 9.80665 m/s² by international definition.
Planetary surface gravities
- Mercury: 3.70 m/s² (0.38 g)
- Venus: 8.87 m/s² (0.90 g)
- Earth: 9.81 m/s² (1.00 g)
- Moon: 1.62 m/s² (0.17 g)
- Mars: 3.72 m/s² (0.38 g)
- Jupiter: 24.8 m/s² (2.53 g)
Surface gravity: frequently asked questions
What is surface gravity?
Surface gravity is the gravitational acceleration experienced at the surface of a planet or other body, denoted g. It is calculated as g = GM/r², where G is the universal gravitational constant (6.674 x 10^-11 N m²/kg²), M is the body's mass (kg), and r is its mean radius (m). Earth's surface gravity is approximately 9.81 m/s².
Why does surface gravity vary across Earth?
Earth is not a perfect sphere: it bulges at the equator and flattens at the poles. Equatorial radius is 6,378 km and polar radius is 6,357 km. Since g = GM/r², the poles are closer to the center and have slightly higher gravity (9.832 m/s²) than the equator (9.780 m/s²). Altitude also reduces g.
What is the surface gravity of the Moon?
The Moon's surface gravity is about 1.62 m/s², which is roughly 1/6 of Earth's. This is why astronauts on the Moon could jump much higher and why objects fall more slowly there. The Moon's mass is 7.342 x 10^22 kg and its mean radius is 1,737.4 km.
Can surface gravity exceed Earth's on other planets?
Yes. Jupiter's surface gravity is about 24.8 m/s² (2.53 g), and a human on Jupiter would feel about 2.5 times heavier than on Earth. Neutron stars have surface gravities of about 10^11 to 10^12 m/s², so extreme that a fallen object would hit the surface in microseconds.
How do I calculate surface gravity for a uniform sphere?
For a uniform sphere, g = GM/r² exactly. For a non-uniform body you need to know the mass distribution. For practical calculations using planetary averages, the formula g = GM/r² with the mean radius gives a useful approximation of the average surface gravity.
Official sources
- NIST Reference on Constants: Newtonian constant of gravitation.
- NASA Jet Propulsion Laboratory: Planetary Physical Parameters.
Reviewed by the CalculatorHub team, edited by James Graham, 15 June 2026. See our methodology.