
Originally Posted by
Ocean1
Not quite, gravity is exponentially stronger the closer you get to the core of the masses involved,
Inverse square law a la Sir Isaac and I used a linear relationship! Doh!

Originally Posted by
Ocean1
Only up to the point where a significant portion of the planet's mass has been chucked. Want to take a shot at the energy required to do that? Also, seems likely that with such a device you'd be landing a lot of raw material from the asteroids at whatever velocities you need to balance that equation.
What would the view be like overhead from the second station?
Two things: -
Firstly, surely conservation of energy says that the effect on the earth's rotational momentum is much greater than than the mass proportionality. After all, you are taking mass that is moving at some speed X at the surface and biffing it off at some much greater speed, into space.
I do agree even so, that you would have to chuck away an awful lot of mass before any effect was seen, although I wouldn't want to be in the neighbourhood when an energetic asteroid was landing.
Secondly, there is the issue of changing angular momentum. As your elevator climbs the tower, it is being accelerated in the direction of rotation and so exerts a force on the tower in the opposite direction. The opposite of course applies on the way down.
How do you tangentially stabilise the tower?
I guess that you could arrange that the effing big rock on the outer end is much more massive than the elevator, but then your cable has to be able to handle much more than just a railcar.
Still pretty cool but.
I may not be as good as I once was, but I'm as good once as I always was.
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