Your weight on Jupiter
Your mass does not change when you travel. Your weight does, because weight is a force and it depends on the local gravitational field. Jupiter has no surface. This is the gravity at the one-bar cloud level, which is the conventional radius.
- Your weight as a force
- 1814.42
- Your weight in pounds-force
- 407.90
- Surface gravity
- 25.9203 m/s2
- Gravity relative to Earth
- 2.643 13
- How high that jump would take you
- 0.189
- Time for something to fall one metre
- 0.278 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 = 1.26686534e17 = 1.26687e+17
- radius = 6.9911e7 = 69 911 000
- Surface gravity = 1.26687e+17 / 69 911 000^2 = 25.9203
- Gravity relative to Earth = 25.9203 / 9.80665 = 2.643 13
- Your weight as a force = 70 * 25.9203 = 1814.42
- Your weight there, in kilograms-force = 1814.42 / 9.80665 = 185.019
- Your weight in pounds-force = 1814.42 / 4.4482216152605 = 407.898
- How high that jump would take you = 25.9203 > 0 ? 0.5 * 9.80665 / 25.9203 : 0 = 0.189 17
- Time for something to fall one metre = 25.9203 > 0 ? sqrt(2 * 1 / 25.9203) : 0 = 0.277 776
- 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.
Jupiter has no surface. This is the gravity at the one-bar cloud level, which is the conventional radius.
Where the numbers come from
- GM and mean radius from planetary ephemeris and spacecraft tracking solutions.