第76章 对火星轨道变化问题的最后解释 (第6/12页)

，siheerroroflongitudesincreaseslinearlywithtimeinthesymplecticmap.similarly，thelongitudeerrorofplutobeestimatedas～12°.thisvalueforplutoismuchbetterthantheresultinkinoshitanakai(1996)wherethedifferenceisestimatedas～60°.

    3numericalresults–i.glaherawdata

    inthissewebrieflyreviewtheloabilityofplaaryorbitalmotihsomesnapshotsofrawnumericaldata.theorbitalmotionofplasindicatesloabilityinallofournumeritegrations:noorbitalcrossingsnorcloseentersbetairofplaookplace.

    3.1generaldescriptionofthestabilityofplaaryorbits

    first，webrieflylookatthegeneralcharacteroftheloabilityofplaaryorbits.ouriherefocusesparticularlyontheinnerfourterrestrialplasforwhichtheorbitaltime-scalesaremuchshorterthanthoseoftheouterfiveplas.asweseeclearlyfromtheplanarorbitalfigurationsshowninfigs2and3，orbitalpositionsoftheterrestrialplasdifferlittlebetweeialandfinalpartofeaumeritegration，whichspansseveralgyr.thesolidliingthepresentorbitsoftheplasliealmostwithintheswarmofdotseveninthefinalpartofiions(b)and(d).thisindicatesthatthroughouttheeegrationperiodthealmularvariationsofplaaryorbitalmotionremainnearlythesameastheyareatpresent.

    verticalviewofthefourinnerplaaryorbits(fromthez-axisdire)attheinitialandfinalpartsoftheiionsn±1.theaxesunitsareau.thexy-planeissettotheinvariantplaneofsolarsystemtotalangularmomentum.(a)theinitialpartofn 1(t=0to0.0547x109yr).(b)thefinalpartofn 1(t=4.9339x108to4.9886x109yr).(c)theinitialpartofn?1(t=0to?0.0547x109yr).(d)thefinalpartofn?1(t=?3.9180x109to?3.9727x109yr).ineael，atotalof23684pointsareplottedwithanintervalofabout2190yrover5.47x107yr.solidlinesineaeldehepresentorbitsofthefourterrestrialplaakenfromde245).

    thevariationofetricitiesandorbitalinationsfortheinnerfourplasiialandfinalpartoftheiionn 1isshowninfig.4.asexpected，thecharacterofthevariationofplaaryorbitalelementsdoesnotdiffersignifitlybetweeialandfinalpartofeategration，atleastforvehandmars.theelementsofmercury，especiallyitsetricity，seemtogeto