第76章 对火星轨道变化问题的最后解释(5/10)

moreaccurateiionsizeof0.125d(164ofthemaiions)spanning3x105yr，startingwiththesameinitialditionsasinthen?1iion.wesiderthatthistestiionprovidesusseudo-true’solutionofplaaryorbitalevolutio，weparethetestiionwiththemaiion，n?1.fortheperiodof3x105yr，weseeadifferenmeananomaliesoftheearthbetweewoiionsof～0.52°(inthecaseofthen?1iion).thisdifferenbeextrapolatedtothevalue～8700°，about25rotatiohafter5gyr，siheerroroflongitudesincreaseslinearlywithtimeinthesymplecticmap.similarly，thelongitudeerrorofplutobeestimatedas～12°.thisvalueforplutoismuchbetterthantheresultinkinoshitanakai(1996)wherethedifferenceisestimatedas～60°.

3numericalresults–i.glaherawdata

inthissewebrieflyreviewtheloabilityofplaaryorbitalmotihsomesnapshotsofrawnumericaldata.theorbitalmotionofplasindicatesloabilityinallofournumeritegrations:noorbitalcrossingsnorcloseentersbetairofplaookplace.

3.1generaldescriptionofthestabilityofplaaryorbit

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