Your weight on Haumea
Your mass does not change when you travel. Your weight does, because weight is a force and it depends on the local gravitational field. Haumea spins so fast it is stretched into an ellipsoid; the radius here is the volumetric mean.
- Your weight as a force
- 30.72
- Your weight in pounds-force
- 6.91
- Surface gravity
- 0.4389 m/s2
- Gravity relative to Earth
- 0.044 75
- How high that jump would take you
- 11.173
- Time for something to fall one metre
- 2.135 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 = 2.67e11 = 267 000 000 000
- radius = 7.8e5 = 780 000
- Surface gravity = 267 000 000 000 / 780 000^2 = 0.438 856
- Gravity relative to Earth = 0.438 856 / 9.80665 = 0.044 750 9
- Your weight as a force = 70 * 0.438 856 = 30.7199
- Your weight there, in kilograms-force = 30.7199 / 9.80665 = 3.132 56
- Your weight in pounds-force = 30.7199 / 4.4482216152605 = 6.906 11
- How high that jump would take you = 0.438 856 > 0 ? 0.5 * 9.80665 / 0.438 856 : 0 = 11.173
- Time for something to fall one metre = 0.438 856 > 0 ? sqrt(2 * 1 / 0.438 856) : 0 = 2.134 78
- 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.
Haumea spins so fast it is stretched into an ellipsoid; the radius here is the volumetric mean.
Where the numbers come from
- GM and mean radius from planetary ephemeris and spacecraft tracking solutions.