sandhysicallymeaningfuldefinitionofthestabilityofourolarsystem.
mongmanydefinitionsofstability，hereeadottheilldefinition(ladman1993):actuallythisisnotadefinitionofstability，butofinstability.edefineasystemasbeingunstablehenacloseencounterourssomehereinthesystem，startingfromacertaininitialconfiguration(hambers，etherill&to&&anikaa1999).systemisdefinedasexeriencingacloseencounterhentobodiesaroachoneanotherithinanareaofthelargerillradius.therisethesystemisdefinedasbeingstable.enceforardestatethatourlaarysystemisdynamicallystableifnocloseencounterhaensduringtheageofourolarsystem，about±5yr.ncidentally，thisdefinitionmayberelacedbyoneinhichanourrenceofanyorbitalcrossingbeteeneitherofaairoflastakeslace.hisisbecauseeknofromexeriencethatanorbitalcrossingisverylikelytoleadtoacloseencounterinlaaryandrotolaarysystems(oshinaga，okubo&&akino1999).fcoursethisstatementcannotbesimlyaliedtosystemsithstableorbitalresonancessuchastheetune–lutosystem.
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1.2reviousstudiesandaimsofthisresearch
nadditiontothevaguenessoftheconcetofstability，thelasinourolarsystemshoacharactertyicalofdynamicalchaos(ussman&&isdom1988，1992).hecauseofthischaoticbehaviourisnoartlyunderstoodasbeingaresultofresonanceoverlaing(urray&ecar，ranklin&&olman2001).oever，itouldrequireintegratingoveranensembleoflaarysystemsincludingallninelasforaeriodcoveringseveral10yrtothoroughlyunderstandthelong-termevolutionoflaaryorbits，sincechaoticdynamicalsystemsarecharacterizedbytheirstrongdeendenceoninitialconditions.
romthatointofvie，manyofthereviouslong-termnumericalintegratio
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