第76章 对火星轨道变化问题的最后解释（10/12）
rationlenh.
ealyantoeachofthedatafragments，andobtainnfrequencydiagrams.
neachfrequencydiagramobtainedabove，thestrenhoferiodicitycanberelacedbyagrey-scale(orcolour)chart.
eerformtherelacement，andconnectallthegrey-scale(orcolour)chartsintoonegrahforeachintegration.hehorizontalaxisofthesenegrahsshouldbethetime，i.e.thestartingtimesofeachfragmentofdata(ti，herei=1，…，n).heverticalaxisreresentstheeriod(orfrequency)oftheoscillationoforbitalelements.
ehaveadotedanbecauseofitsoverhelmingseed，sincetheamountofnumericaldatatobedeosedintofrequencyonentsisterriblyhuge(severaltensofbytes).
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tyicalexamleofthetime–frequencymacreatedbytheaboveroceduresisshoninagrey-scalediagramasig.5，hichshosthevariationoferiodicityintheeentricityandinclinationofarthin+2integration.nig.5，thedarkareashosthatatthetimeindicatedbythevalueontheabscissa，theeriodicityindicatedbytheordinateisstrongerthaninthelighterareaaroundit.ecanrecognizefromthismathattheeriodicityoftheeentricityandinclinationofarthonlychangesslightlyovertheentireeriodcoveredbythe+2integration.hisnearlyregulartrendisqualitativelythesameinotherintegrationsandforotherlas，althoughtyicalfrequenciesdifferlabylaandelementbyelement.
4.2ong-termexchangeoforbitalenergyandangularmomentum
ecalculateverylong-eriodicvariationandexchangeoflaaryorbitalenergyandangularmomentumusingfilteredelaunayelements，，.andareequivalenttothelaaryorbitalangularmomentumanditsverticalonenterunitmass.isrelatedtothelaaryorbitalenergyerunitmassas=?μ222.fthesystemisletelylinear，theorbital
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