第76章 对火星轨道变化问题的最后解释 (第9/12页)

luesisplottedinthepahelowerthreepanelsineachfigureshowe-e0，g-g0andh-h0ofthetotalofnineplahefluctuationshowninthelowerpanelsisvirtuallyentirelyaresultofthemassivejovianplas.

    paringthevariationsofenergyandangularmomentumoftheinnerfourplasandallnineplas，itisapparentthattheamplitudesofthoseoftheinnerplasaremuchsmallerthanthoseofallnineplaheamplitudesoftheouterfiveplasaremuchlargerthanthoseoftheinnerplahisdoeshattheierrestrialplaarysubsystemismorestablethaerohisissimplyaresultoftherelativesmallnessofthemassesofthefourterrestrialplasparedwiththoseoftheouterjovianplas.ahiiceisthattheinnerplaarysubsystemmaybeeunstablemorerapidlythaeronebecauseofitsshorterorbitaltime-scales.thisbeseeninthepanelsdenotedasinner4infig.7wherethelonger-periodidirregularoscillationsaremoreapparentthaninthepanelsdeotal9.actually，thefluctuationsintheinner4panelsareteextentasaresultoftheorbitalvariationofthemercury.however，weothetributionfromotherterrestrialplas，aswewillseeinsubsequeions.

    4.4long-termcouplingofseveralneighbplapairs

    letusseesomeindividualvariationsofplaaryorbitalenergyandangularmomentumexpressedbythelow-passfiltereddelaunayelements.figs10and11showlong-termevolutionoftheorbitalenergyofeachplaandtheangularmomentuminn 1andn?2iioicethatsomeplasformapparentpairsintermsoforbitalenergyandangularmomentumexge.inparticular，venusahmakeatypicalpair.inthefigures，theyshowivecorrelationsinexgeofenergyandpositivecorrelationsinexgeofangularmomentum.theivecorrelationinexgeoforbitalenergymeansthatthetwoplasformacloseddynamicalsystemintermsoftheorbitalenergy.thepositivecorrelationinexgeofangularmomentummeansthatthetwoplasaresimultaneouslyundercertainlong-termperturbations.didatesforperturbersarejupiterandsaturn.alsoinfig.11，weseethatmarsshows'itivecorrelationintheangularmomentumvariationtothevehsystem.mercuryexhibitscertaiivecorrelationsintheangularmomentumversusthevehsystem，whichseemstobeareacausedbytheservationofangularmomentumierrestr