Newton gravitation calculator
Gravity is the weakest of the fundamental forces by an enormous margin, which is why you need a planet to feel it.
kg
kg
Gravitational force
687.398 14N
- Gravitational field at that distance
- 9.819 973 4 m/s2
- Escape velocity
- 11 185.978
- Circular orbital speed
- 7909.6808
- Orbital period
- 5060.9088 s
Show the working
- First mass = 5.972e+24
- Second mass = 70
- Distance between centres = 6 371 000
- Gravitational force = G * 5.972e+24 * 70 / 6 371 000^2 = 687.398
- Gravitational field at that distance = G * 5.972e+24 / 6 371 000^2 = 9.819 97
- Escape velocity = sqrt(2 * G * 5.972e+24 / 6 371 000) = 11 186
- Circular orbital speed = sqrt(G * 5.972e+24 / 6 371 000) = 7909.68
- Orbital period = 7909.68 > 0 ? 2*pi*6 371 000/7909.68 : 0 = 5060.91
Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.
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The formula
- F = G m1 m2 / r^2
- g = G M / r^2
- escape velocity = sqrt(2 G M / r)
G is the least precisely known of the fundamental constants — about one part in 20 000 — so everything here is reported as rounded no matter how many digits you ask for.