第76章 对火星轨道变化问题的最后解释(3/10)

aspanof±5x1010yr.thetotalelapsedtimeforalliionsismorethan5yr，usingseveraldedicatedpdworkstations.ohefualclusions-termiionsisthatsolarsystemplaarymotioobestableintermsofthehillstabilitymentionedabove，atleastoveratime-spanof±4gyr.actually，inournumeritegratioemwasfarmorestablethanwhatisdefihehillstabilitycriterion:notonlydidnocloseenterhappenduriegrationperiod，butalsoalltheplaaryorbitalelementshavebeenfinedinanarrionbothintimeandfrequenain，thoughplaarymotioochasticethepurposeofthispaperistoexhibitandoverviewtheresults-termnumeritegrations，weshowtypicalexamplefiguresasevideheveryloabilityofsolarsystemplaarymotion.forreaderswhohavemorespecifiddeeperisinournumericalresults，reparedawebpage(access)，whereweshowraworbitalelements，theirlow-passfilteredresults，variationofdelaunayelementsandangularmomentumdeficit，asofoursimpletime–frequenalysisonallofouriions.

iion2webrieflyexplainourdynamicalmodel，numericalmethodandinitialditionsusedinouriioion3isdevotedtoadescriptionofthequickresultsofthenumeritegrations.veryloabilityofsolarsystemplaarymotionisapparentbothinplaarypositionsandorbitalelements.aroughestimationofnumericalerrorsisalsogiveiooadiscussionoftheloermvariationofplaaryorbitsusingalow-passfilterandincludesadiscussionofangularmomentumdeficit.iion5，wepreseofnumeritegrationsfortheouterfiveplahatspans±5x1010yr.iion6wealsodiscusstheloabilityoftheplaarymotionanditspossiblecause.

2descriptionofthenumeritegratio

（本分涉及比较复杂的积分计算，作者君就不贴上来了，贴上来了起也不一定能成功显示。）

2.3numericalmethod