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Hmm, maybe you can help with my math? (and keep an open mind)

Here's what I was thinking. Float an ion thruster powered ship tethered to a weather balloon with solar panels up to 53km altitude (world record) and fire up the thrusters gradually reaching orbital velocity.

Here are my calculations:

altitude = 53 km

Air density = 5.3 kg/m^3

max speed =7 km/s

Coefficient of drag = .02

Cross section area = 130 meters

I used this equation to calculate the drag:

(aird/2) * (speed2) * coeffdrag * area

And I got around 340 newtons of drag. If an Ion thruster could produce something greater than that, we might be in business.



Your calculation is off by 10^6 -- I think you mixed up m/s with km/s? Also the air density should be far lower -- at your altitude (53 km) it's 7.2e-4 kg/m^3 or so. I don't think streamlining makes much difference at hypersonic speeds -- air molecules will hit your craft regardless of how it's shaped, there's no time push them out of the way. So a drag coefficient of 0.02 isn't likely; it's probably at least 1. You could look up stuff on spacecraft reentry to find more accurate figures.

https://www.wolframalpha.com/input/?i=density+air+53+km

Put together, I get something like 2 million Newtons or 200 tonnes force. This is about half the thrust of SpaceX's Falcon 9, so clearly this won't work.

https://www.google.com/search?q=(7.2e-4+kg%2Fm%5E3+%2F+2)+*+...

https://en.wikipedia.org/wiki/Falcon_9

The drag power at this speed is 16 gigawatts, which needs about 100 square kilometers of solar panels.

https://en.wikipedia.org/wiki/Drag_(physics)#Power

https://www.google.com/search?q=(7.2e-4+kg%2Fm%5E3+%2F+2)+*+...

Another problem: at this altitude, a sphere with a 130 m^2 cross section has a lifting power at most 0.8 kg (the mass of the displaced air).

https://www.google.com/search?q=4%2F3+*+pi+*+(130+m%5E2+%2F+...

This really won't work.


Wow. Thanks for fixing the math. Gosh I was really sure the atmosphere would be so thin that it just might work. Oh well back to the drawing board.

Btw what did you mean about the lift? I was proposing a helium balloon/blimp to supply the lift.


Right, but helium doesn't just magically "go up". It provides lift in proportion to the difference in density between the gas in the balloon and the surrounding atmosphere.

As the atmosphere thins, the amount of lift capable of generated by a helium balloon decreases to the point where, at the altitude you've mentioned, it could lift a total of about 0.8kg (according to GP's calculations). The point being that you wouldn't be able to have much of a payload lifted to those heights.


Oh that's a very good point. So I'd also need a whole lot more helium than I realized. Which would increase the drag even more.

Oh well on to the next idea.




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