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We demonstrate that the system of Sun and Jovian planets, integrated for 200 Myr as an isolated five‐body system using many sets of initial conditions all within the uncertainty bounds of their currently known positions, can display both chaos and near‐integrability. The conclusion is consistent across four different integrators, including several comparisons against integrations utilizing quadruple precision. We demonstrate that the Wisdom–Holman symplectic map using simple symplectic correctors as implemented in  mercury  6.2 gives a reliable characterization of the existence of chaos for a particular initial condition only with time‐steps less than about 10 d, corresponding to about 400 steps per orbit. We also integrate the canonical DE405 initial condition out to 5 Gyr, and show that it has a Lyapunov time of 200–400 Myr, opening the remote possibility of accurate prediction of the Jovian planetary positions for 5 Gyr.

Surfing on the edge: chaos versus near‐integrability in the system of Jovian planets