Which means that completely stopping is trivial. And if you're not moving, you're not in orbit. So you will fall straight down (what goes up must come down after all. The only difference is now you're not moving fast enough to miss the ground).
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For the KSP players who knew the insane Δv requirements of Mercury and also remembered that bi-elliptic transfers exist (unlike me when making this poll), you are correct. If you don't care about perihelion, that is the hardest place in this list to reach.
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For those with physics degrees who are noticing that my aside about Oberth would interact with the Sun's velocity, and I should have considered Earth/AC transfer from galactic orbit by my own rules... I couldn't find enough concrete numbers to do the math.
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All I could really find is that we are travelling 20km/s relative to stars in our local neighborhood, which may or may not apply to AC, and by itself doesn't imply a large enough maneuver to beat orbit of Mercury. I would love to be proven wrong here though!
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I'm done. Folks with physics degrees, you can @ me now. I'm sorry for subtweeting you so hard.
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