rtly understd as beg a result of resonance overppg (urray ≈ap;ap;ap; hon 1999; lecar， frankl ≈ap;ap;ap; hon 2001) however， it would require tegratg over an enseble of pary systes cdg all ne ps for a period verg several 10 gyr to thoroughly understand the long-ter evotion of pary orbits， sce chaotic dynaical systes are characterized by their strong dependence on itial nditions
fro that pot of view， any of the previo long-ter nurical tegrations cded only the outer five ps (ssan ≈ap;ap;ap; wisdo 1988; koa ≈ap;ap;ap; nakai 1996) this is becae the orbital periods of the outer ps are so uch longer than those of the ner four ps that it is uch easier to follow the syste for a given tegration period at present， the longest nurical tegrations publishedjournals are those of duncan &ap
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