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第76章 对火星轨道变化问题的最后解释(11/12)

energyandtheangularmomentumineachfrequencybinmustbeconstant.on-linearityinthelaarysystemcancauseanexchangeofenergyandangularmomentuminthefrequencydomain.heamlitudeoftheloest-frequencyoscillationshouldincreaseifthesystemisunstableandbreaksdongradually.oever,suchasymtomofinstabilityisnotrominentinourlong-termintegrations.

nig.7,thetotalorbitalenergyandangularmomentumofthefourinnerlasandallninelasareshonforintegration+2.heuerthreeanelsshothelong-eriodicvariationoftotalenergy(denotedas-0),totalangularmomentum(-0),andtheverticalonent(-0)oftheinnerfourlascalculatedfromthelo-assfilteredelaunayelements.0,0,0denotetheinitialvaluesofeachquantity.heabsolutedifferencefromtheinitialvaluesislottedintheanels.heloerthreeanelsineachfiguresho-0,-0and-0ofthetotalofninelas.hefluctuationshonintheloeranelsisvirtuallyentirelyaresultofthemassivejovianlas.

omaringthevariationsofenergyandangularmomentumoftheinnerfourlasandallninelas,itisaarentthattheamlitudesofthoseoftheinnerlasaremuchsmallerthanthoseofallninelas:theamlitudesoftheouterfivelasaremuchlargerthanthoseoftheinnerlas.hisdoesnotmeanthattheinnerterrestriallaarysubsystemismorestablethantheouterone:thisissimlyaresultoftherelativesmallnessofthemassesofthefourterrestriallasarediththoseoftheouterjovianlas.notherthingenoticeisthattheinnerlaarysubsystemmaybeeunstablemoreraidlythantheouteronebecauseofitsshorterorbitaltime-scales.hiscanbeseenintheanelsdenotedasinner4inig.7herethelonger-eriodicandirregularoscillationsaremoreaarentthanintheanelsdenotedastotal9.ctually,thefluctuationsintheinner4anelsaretoalargeextentasaresultoftheorb
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