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We propose a scenario in which the Large Magellanic Cloud (LMC) is on itssecond passage around the Milky Way. Using a series of tailored N-bodysimulations, we demonstrate that such orbits are consistent with currentobservational constraints on the mass distribution and relative velocity ofboth galaxies. The previous pericentre passage of the LMC could have occurred5-10 Gyr ago at a distance >~100 kpc, large enough to retain its currentpopulation of satellites. The perturbations of the Milky Way halo induced bythe LMC look nearly identical to the first-passage scenario, however, thedistribution of LMC debris is considerably broader in the second-passage model.We examine the likelihood of current and past association with the Magellanicsystem for dwarf galaxies in the Local Group, and find that in addition to10-11 current LMC satellites, it could have brought a further 4-6 galaxies thathave been lost after the first pericentre passage. In particular, four of theclassical dwarfs - Carina, Draco, Fornax and Ursa Minor - each have a ~50%probability of once belonging to the Magellanic system, thus providing apossible explanation for the ``plane of satellites'' conundrum.

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