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  • It's definitely harder to decay the orbit into the sun directly than it is to get to escape velocity. But to play devil's advocate, there is probably a way to get them into the sun while being a similar cost to escape velocity. All you need to do is burn prograde to a super high aphelion, ride all the way out there to Pluto or whatever and then do a small retrograde burn to bring your perihelion inside the sun's photosphere. When you then get back towards the sun years later you would slam into it with a sick velocity that I think would be worth the decades-long wait.

  • Technically there is no boundary, it's atmosphere all the way in. But what we might call the "surface" is the photosphere. That is where the density becomes "low" (read not insanely high) enough that light can escape in a free path.