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Another idea would be to use the black hole as a gravitational lens to construct a large telecscope. I wonder what the focal length and the effective lense diameter would be. Also the orbital velocity of the image sensor (in orbit around the black hole) might be too high to make this useful.

See also [1].

[1] https://physics.stackexchange.com/questions/25498/the-sun-as...



I can help on this one! In short, it won't work very well. The sun is a much better object to use.

Basically, gravitational lenses don't have a "focal length" per se. It's not an exact analogy to a classic glass lens. There is a minimum distance you need to be away from an object to use it as a g-lens. But as you get further away than that, it'll work better.

Now, the minimum distance you need to be away from the massive object decreases as the mass of the object increases. So for the sun, you'd have to place a camera about 500AU away to use it. That's too far to be practical at our current technology level. For a smaller object like a planet sized blackhole, you'd have to be orders of magnitude further away. Not very helpful!

Now, it's possible I'm mistaken as I'm thinking about some calculations I did on schwarzchild geometry and I didn't consider what would happen very close to the blackhole where curvature is very high, but my intuition says that it won't be very helpful at all.

That doesn't mean the blackhole won't be helpful though!!! I think there's an ENORMOUS number of useful experiments we could do. And, I think blackholes can be used as very powerful computers, possibly quantum ones, but I don't know the details.


Wouldn't you place it at the Sun-IX L1?

Edit: never mind, I just remembered there's a specific distance from a massive object you have to be to hit the focal length sweet spot. I wonder if having a smaller radius makes the focal length shorter?




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