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If you take three bodies of unknown masses
Quote from: Alan McDougallIf you take three bodies of unknown massesIt's actually a harder problem than you suggest.Even if you know the masses of all three objects precisely, along with their exact positions and velocities, there is no formula that will predict the exact positions at all points of time in the future (or the past).Lagrange discovered 5 special cases which have a stable solution, but they require that one of the masses be very small (almost reducing it to a 2-body problem). But this doesn't help the general case.Mathematically, the restriction is on "...sorry, you cannot view external links. To see them, please
REGISTER or LOGINPS: Many real planetary systems have far more than 3 planets!