第76章 对火星轨道变化问题的最后解释 (第3/12页)

resentvalue，thejovianplasremainstableover1010yr，orperhapslonger.dunlissaueralsoperformedfoursimilarexperimentsontheorbitalmotionofsevenplas(venustoune)，whichcoveraspanof～109yr.theirexperimentsonthesevenplasarepreheitseemsthattheterrestrialplasalsoremainstableduriegrationperiod，maintainingalmularoscillations.

    oherhand，inhisaccuratesemi-analyticalsecularperturbationtheory(laskar1988)，laskarfindsthatlargeandirregularvariationsappearintheetricitiesandinationsoftheterrestrialplas，especiallyofmercuryandmarsonatime-scaleofseveral109yr(laskar1996).theresultsoflaskar'ssecularperturbationtheoryshouldbefirmedandiigatedbyfullynumeritegrations.

    inthispaperwepresentpreliminaryresultsofsixlong-termnumeritegrationsonallnineplaaryorbits，caspanofseveral109yr，andoftwootheriionscaspanof±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.aroughestimationofnumericalerrorsisalsogiveiooadiscussionoftheloe