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Drakkith

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- Mass and Surface Gravity of a Dyson Sphere

I'm re-watching Star Trek TNG and I just started the episode where they encounter Scotty aboard a ship that's crashed into a Dyson sphere.

That got me thinking. What would the mass and external surface gravity of a Dyson Sphere be? I've done the math myself, but I'd appreciate someone double checking my numbers.

Assumptions:

Internal Radius of 0.5 AU

Thickness, based on a very, very crude estimate by comparing the Enterprise-D to the sphere: 2 Km

Density of approximately 7 g/cm

If my calculation is correct, the mass is roughly 5x10

That got me thinking. What would the mass and external surface gravity of a Dyson Sphere be? I've done the math myself, but I'd appreciate someone double checking my numbers.

Assumptions:

Internal Radius of 0.5 AU

Thickness, based on a very, very crude estimate by comparing the Enterprise-D to the sphere: 2 Km

Density of approximately 7 g/cm

^{3}(I don't know what the density of carbon-neutronium is, but I'm using a value a little less than iron's because reasons).If my calculation is correct, the mass is roughly 5x10

^{29}kg, about 0.25 solar masses, and the surface gravity is about 0.0015 m/s^{2}.