r 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 question of whether our sor syste is stable or not this is partly a result of the fact that the defition of the ter ‘stability’ is vague when it is edretion to the proble of pary otionthe sor syste actually it is not easy to give a clear, rigoro and physically angful defition of the stability of our sor syste
aong any defitions of stability, here we adopt the hill defition (gdan 1993): actua
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