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There are people from ESA here, so I hope they can write about this in more detail. From what I know, Newtonian dynamics is good enough to move around the Solar System at the speeds we commonly employ.

We've been doing gravity assists for some time now, so I guess this topic is mostly figured out, though probably some active corrections are required. Again, maybe the ESA guys will chime in. Or InclinedPlane ;).




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