Your weight on Saturn
Your mass does not change when you travel. Your weight does, because weight is a force and it depends on the local gravitational field. Saturn is less dense than water, so its surface gravity is barely above Earth despite its size.
Your weight there, in kilograms-force
79.845
- Your weight as a force
- 783.02
- Your weight in pounds-force
- 176.03
- Surface gravity
- 11.1860 m/s2
- Gravity relative to Earth
- 1.140 65
- How high that jump would take you
- 0.438
- Time for something to fall one metre
- 0.423 s
- Your weight on Earth for comparison
- 686.47
Show the working
- Your mass = 70
- How high you can jump on Earth = 0.5
- gm = 3.7931187e16 = 3.79312e+16
- radius = 5.8232e7 = 58 232 000
- Surface gravity = 3.79312e+16 / 58 232 000^2 = 11.186
- Gravity relative to Earth = 11.186 / 9.80665 = 1.140 65
- Your weight as a force = 70 * 11.186 = 783.017
- Your weight there, in kilograms-force = 783.017 / 9.80665 = 79.8455
- Your weight in pounds-force = 783.017 / 4.4482216152605 = 176.029
- How high that jump would take you = 11.186 > 0 ? 0.5 * 9.80665 / 11.186 : 0 = 0.438 347
- Time for something to fall one metre = 11.186 > 0 ? sqrt(2 * 1 / 11.186) : 0 = 0.422 842
- Your weight on Earth for comparison = 70 * 9.80665 = 686.466
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
- surface gravity g = GM / r^2
- weight = mass x g
- jump height scales inversely with gravity for the same take-off energy
The gravitational constant G is the least precisely known fundamental constant, so results here are reported as rounded rather than exact.
Kilograms-force is what a bathroom scale reads. It is a force, not a mass, which is why the number changes and your mass does not.
Saturn is less dense than water, so its surface gravity is barely above Earth despite its size.
Where the numbers come from
- GM and mean radius from planetary ephemeris and spacecraft tracking solutions.