lasthatsans±51010yr.nection6ealsodiscussthelong-termstabilityofthelaarymotionanditsossiblecause.
2escritionofthenumericalintegrations
（本部分涉及比较复杂的积分计算，作者君就不贴上来了，贴上来了起点也不一定能成功显示。）
2.3umericalmethod
eutilizeasecond-orderisdom–olmansymlecticmaasourmainintegrationmethod(isdom&inoshita，oshida&&akai1991)ithasecialstart-uroceduretoreducethetruncationerrorofanglevariables，‘armstart’(aha&&remaine1992，1994).
hestesizeforthenumericalintegrationsis8dthroughoutallintegrationsoftheninelas(±1，2，3)，hichisabout111oftheorbitaleriodoftheinnermostla(ercury).sforthedeterminationofstesize，eartlyfollothereviousnumericalintegrationofallninelasinussman&&isdom(1988，7.2d)andaha&&remaine(1994，22532d).eroundedthedecimalartofthetheirstesizesto8tomakethestesizeamultileof2inordertoreducetheaumulationofround-offerrorintheutationrocesses.nrelationtothis，isdom&&olman(1991)erformednumericalintegrationsoftheouterfivelaaryorbitsusingthesymlecticmaithastesizeof400d，110.83oftheorbitaleriodofuiter.heirresultseemstobeaurateenough，hichartlyjustifiesourmethodofdeterminingthestesize.oever，sincetheeentricityofuiter(～0.05)ismuchsmallerthanthatofercury(～0.2)，eneedsomecarehenearetheseintegrationssimlyintermsofstesizes.
ntheintegrationoftheouterfivelas(±)，efixedthestesizeat400d.
eadotauss'fandgfunctionsinthesymlecticmatogetheriththethird-orderalleymethod(anby1992)asasolverforelerequations.henumberofmaximumiterationsesetinalley'smethodis15，buttheyneverreachedthemaximuminanyofourintegrations.
heintervalofthedataoututis200000d(～547yr)forthecalculat
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