skar's secur perturbation theory (eg eax～ 035 over ～± 4 gyr) however， there are no apparent secur creases of eentricity or ctionany orbital elents of the ps， which ay be revealed by still longer-ter nurical tegrations we have also perford a uple of trial tegrations cdg otions of the outer five ps over the duration of ± 5 x 1010 yr the result dicates that the three ajor resonancesthe neptune–pto syste have been ataed over the 1011-yr ti-span
1 troduction
11defition of the proble
the question of the stability of our sor syste has been debated over several hundred years， sce the era of newton the proble has attracted any fao atheaticians over the years and has pyed a central rolethe developnt of non-lear dynaics and chaos theory however， we do not yet have a defite answer to the
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