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Due to gravity and movement an object can be accelerated (positive/negative) and slingshot into another direction.

This has been used various times, but as far as I know with orbital objects like a Jupiter.

It could be the case that black holes have far too much gravity to be used for swing-by or that one would have to get too close.

Would it be possible to use black holes for the same purpose? For example for interstellar flights.

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    $\begingroup$ Here's my issue: there's no conceivable space flight where this would be relevant. Yes, black holes and neutron stars can get any deflection angle you want (even 180 degrees). The issue is that there just aren't any anywhere nearby. Interstellar flight itself may be a contentious topic here. This would only be relevant on galactic-scale interstellar flight. $\endgroup$ – AlanSE Jul 20 '13 at 17:20
  • $\begingroup$ @AlanSE Luckily there aren't black holes nearby. I imagined before that this would be more theoretical as galactic-scale interstellar flights are not planned for a very long time (from my POV). I understand your concern about questions that are too theoretical and/or cross the line of science-fiction. I'll try to refrain from questions of this kind. $\endgroup$ – bastik Jul 20 '13 at 17:45
  • $\begingroup$ And even at the speed of light using a black hole to sling shot is probably going to be a year or more real time maneuver $\endgroup$ – Chad Jul 21 '13 at 4:39
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This is actually a wonderful question for physics, you asking about rather specific aspects of astrophysics. I'll give it a try anyway.

Oversimplified, seen 'from a distance', a back hole is just another massive mass point in space. So the answer here is yes, it can be used.

The problem is, however, that you need to keep 'a distance'. There are two issues here: As you mentioned, you want to be able to escape. So you must not cross the event horizon of the back hole. Below this 'horizon', all trajectories of objects, even at light speed, will eventually fall back to the black hole. This brings you to the second issue: Relativity. A fly-by near a black hole can theoretically accelerate you to virtually the speed of light, at least temporarily. It depends, whether you actually want this, including all side effects.

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    $\begingroup$ The mass need to be moving for this to be useful. That's why orbiting work as slingshots. $\endgroup$ – Don Branson Jul 20 '13 at 11:43
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    $\begingroup$ Passing the event horizon is obviously bad, but even before you get there, the tidal forces could be...uncomfortable. So, yes, keep your distance. $\endgroup$ – Don Branson Jul 20 '13 at 11:44
  • $\begingroup$ @DonBranson: For a typical flyby, I agree, it should be moving, thus 'taking' energy from the moving object. But you can also imagine a different scenario, in which you just want to travel to the opposite side of the galaxy. It is like doing a flyby near the Sun for interplanetary travel. It is insane and complicated, but from a kinetic point of view, it can be useful. $\endgroup$ – s-m-e Jul 20 '13 at 11:52
  • $\begingroup$ Makes sense. You can use them for a change of direction, not just acceleration. $\endgroup$ – Don Branson Jul 20 '13 at 12:28
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    $\begingroup$ Another interesting feature of black holes is their rotation: If a black hole is massive enough and its rotation rapid enough, it will cause significant frame-dragging (that is, near-by space will rotate along with it, like in a whirlpool). If one is carrying waste material on one's ship (which is undesirable, but perhaps unavoidable to some extent), this would be a good time to discard it, as this would allow you to extract energy through the Penrose process. $\endgroup$ – loghaD Jul 20 '13 at 15:16
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Slingshots work by gravity interaction between a massive body in motion and a second body in motion. Any massive object can be used.

The problems with a black hole are (1) avoiding the capture range, (2) surviving the radiation, (3) surviving the accretion disk contents, (4) the extreme distances involved.

Keep in mind: black holes can have tremendous distances with gravitational effects. Distances which can be measured in light years in some cases, and thousands of AU even for smaller ones.

The strength of the boost is a factor of how close one gets, and the correct angle of insertion relative to the motion.

The further out, the less the acceleration/deceleration. But also, the further out, the less the radiation from the accretion disc collisions, the less dense the accretion disk, and the less Hawking Radiation.

The immense distances also require immense amounts of time.

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Yes, as long as the orbits are long and far enough.

The problem is that relativistic mass IS a gravitational mass. The faster an object moves, the heavier gravity-wise it is, and while at speeds below, say, 0.5 c this mass gain is insignificant, as you're approaching speed of light about all of acceleration energy is converted into mass - and as result, into gravity force.

So, if you try to approach a black hole through elliptical orbit where the "near pass" speed would exceed speed of light if counted in Newton and Kepler way, obviously that won't work. Instead of speed that would counteract the centripetal force of gravity of the black hole, you'll start gaining mass, and that will make the black hole's gravitational pull on you so much stronger. "Falling", instead of speeding up you keep gaining weight, and so the gravity pull grows not only with waning distance but with your kinetic energy growing - until the inevitable demise.

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