Like if you were going slow enough, would the pull of the galactic center begin dragging you in?
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Your question was worded badly, but the added detail (like the word ) makes it more clear.
If a spaceship was orbiting around the outer edge of a galaxy, and you slowed it down, it would no doubt be captured by some other object, a star or a planet, looooong before it ever had a chance to go all the way to the center.
If the spacecraft was in orbit around the black hole in the center of a galaxy, then, yes, if you slowed it down, it would be attracted by the gravity of the black hole and go over the event horizon.
A black hole is, from the point of view of an orbiting object, no different than anything else. It simply has a lot more mass and gravitational force. It is possible to remain in orbit around one if you are sufficiently far away and have sufficient velocity - same as it is with the sun and earth.
If a spaceship was orbiting around the outer edge of a galaxy, and you slowed it down, it would no doubt be captured by some other object, a star or a planet, looooong before it ever had a chance to go all the way to the center.
If the spacecraft was in orbit around the black hole in the center of a galaxy, then, yes, if you slowed it down, it would be attracted by the gravity of the black hole and go over the event horizon.
A black hole is, from the point of view of an orbiting object, no different than anything else. It simply has a lot more mass and gravitational force. It is possible to remain in orbit around one if you are sufficiently far away and have sufficient velocity - same as it is with the sun and earth.
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You can de-orbit FROM a planet or a galaxy; however, the delta-v required (and thus, the energy) would likewise be tremendous.
De-orbit can mean a good many things. In LEO, de-orbit means to change the orbit so it intersects the atmosphere enough to start using atmospheric pressure to loose further energy; LEO is much closer to the surface than the planet is wide. De-orbiting the sun or the galaxy means, I think, loosing ALL your orbital velocity so that you begin to fall towards the sun/Sag A. An LEO deorbit means loosing about 100 m/sec. De-orbiting the sun (by the def above) means loosing 30 km/sec, from the Earth. De-orbiting the galaxy means 220 km/sec. You can square these velocity changes and multiply by half your mass to get the energy required in Newtons.
De-orbit can mean a good many things. In LEO, de-orbit means to change the orbit so it intersects the atmosphere enough to start using atmospheric pressure to loose further energy; LEO is much closer to the surface than the planet is wide. De-orbiting the sun or the galaxy means, I think, loosing ALL your orbital velocity so that you begin to fall towards the sun/Sag A. An LEO deorbit means loosing about 100 m/sec. De-orbiting the sun (by the def above) means loosing 30 km/sec, from the Earth. De-orbiting the galaxy means 220 km/sec. You can square these velocity changes and multiply by half your mass to get the energy required in Newtons.
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You can't "de-orbit" either a planet OR a galaxy. The energy required would by enormous.