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Surface gravity and escape velocity

Work out the surface gravity, escape velocity and orbital speed for a body of a given mass and radius, and what a given mass would weigh on it.

Showing a worked example. Change the values and the result updates, and the answer lives in the URL.

At the surface

Surface gravity9.8206 m/s²
Relative to Earth
A mass of 70 kg would weigh687.44 N70 kg-force, against 70 kg on Earth
Fall from rest in 1 second4.9103 m
Time to fall 10 m1.4271 s

Leaving

Escape velocity11.18632 km/s
Low circular orbit speed7.90993 km/sescape velocity is exactly √2 times this
Low orbit period84.346 minutesskimming the surface, ignoring any atmosphere

Bulk properties

Mean density5,513.6 kg/m³water is 1,000 kg/m³
Volume1,083,206,916,845.75 km³
Surface area510,064,471.9098 km²
Gravitational constant used6.6743e-11 m³ kg⁻¹ s⁻²measured, and the least precisely known of the major constants

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Surface Gravity and Escape Velocity Calculator | Nerdulator