Your weight on Dione
Your mass does not change when you travel. Your weight does, because weight is a force and it depends on the local gravitational field.
Your weight there, in kilograms-force
1.656
- Your weight as a force
- 16.24
- Your weight in pounds-force
- 3.65
- Surface gravity
- 0.2320 m/s2
- Gravity relative to Earth
- 0.023 66
- How high that jump would take you
- 21.137
- Time for something to fall one metre
- 2.936 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 = 7.3113e10 = 73 113 000 000
- radius = 5.614e5 = 561 400
- Surface gravity = 73 113 000 000 / 561 400^2 = 0.231 98
- Gravity relative to Earth = 0.231 98 / 9.80665 = 0.023 655 3
- Your weight as a force = 70 * 0.231 98 = 16.2386
- Your weight there, in kilograms-force = 16.2386 / 9.80665 = 1.655 87
- Your weight in pounds-force = 16.2386 / 4.4482216152605 = 3.650 58
- How high that jump would take you = 0.231 98 > 0 ? 0.5 * 9.80665 / 0.231 98 : 0 = 21.1369
- Time for something to fall one metre = 0.231 98 > 0 ? sqrt(2 * 1 / 0.231 98) : 0 = 2.936 23
- 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.
Scenarios & local history
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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.
Where the numbers come from
- GM and mean radius from planetary ephemeris and spacecraft tracking solutions.