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...this slingshot effect is potentially quite large though according to the Wikipedia page. It can be as high as twice the speed of the planet around the Sun. Since for the Earth this is about 30 km/s, this means you can get a boost of about 60 km/s (!) How fast can you be going beforehand and still get swung around by the planet to still get the boost?
Could you really, practically, slingshot around Mercury, Clifford? It may get a bit hot and I'm not sure our technology is up to that.