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Your weight on the Sun

Your mass does not change when you travel. Your weight does, because weight is a force and it depends on the local gravitational field. The photosphere is not a surface you could stand on, so treat this as the gravity at that radius.

Your weight there, in kilograms-force
1957.244
≈ Rounded Weight on the Sun
Your weight as a force
19 194.01
Your weight in pounds-force
4314.98
Surface gravity
274.2001 m/s2
Gravity relative to Earth
27.960 63
How high that jump would take you
0.018
Time for something to fall one metre
0.085 s
Your weight on Earth for comparison
686.47
Show the working
  1. Your mass = 70
  2. How high you can jump on Earth = 0.5
  3. gm = 1.32712440018e20 = 1.32712e+20
  4. radius = 6.957e8 = 695 700 000
  5. Surface gravity = 1.32712e+20 / 695 700 000^2 = 274.2
  6. Gravity relative to Earth = 274.2 / 9.80665 = 27.9606
  7. Your weight as a force = 70 * 274.2 = 19 194
  8. Your weight there, in kilograms-force = 19 194 / 9.80665 = 1957.24
  9. Your weight in pounds-force = 19 194 / 4.4482216152605 = 4314.98
  10. How high that jump would take you = 274.2 > 0 ? 0.5 * 9.80665 / 274.2 : 0 = 0.017 882 3
  11. Time for something to fall one metre = 274.2 > 0 ? sqrt(2 * 1 / 274.2) : 0 = 0.085 404 6
  12. 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.

    The photosphere is not a surface you could stand on, so treat this as the gravity at that radius.

    Where the numbers come from

    • GM and mean radius from planetary ephemeris and spacecraft tracking solutions.

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