terriblyhuge(severaltensofgbytes).
atypicalexampleofthetime–frequencymapcreatedbytheaboveproceduresisshowninagrey-scalediagramasfig.5，whichshowsthevariationofperiodicityintheetricityandinatiohinn 2iion.infig.5，thedarkareashowsthatatthetimeindicatedbythevalueontheabscissa，theperiodicityindicatedbytheordirohaninthelighterareaaroundit.wereizefromthismapthattheperiodicityoftheetricityandinatiohonlygesslightlyovertheentireperiodcoveredbythen 2iion.thisnearlyregulartrendisqualitativelythesameiegrationsandforotherplas，althoughtypicalfrequenciesdifferplabyplaabyelement.
4.2long-termexgeoforbitalenergyandangularmomentum
wecalculateverylong-periodicvariationandexgeofplaaryorbitalenergyandangularmomentumusingfiltereddelaunayelementsl，g，h.gandhareequivalenttotheplaaryorbitalangularmomentumanditsvertipoperunitmass.lisrelatedtotheplaaryorbitalenergyeperunitmassase=?μ22l2.ifthesystemispletelyliheorbitalenergyandtheangularmomentumineachfrequenmustbestant.non-liyintheplaarysystemcauseanexgeofenergyandangularmomentuminthefrequenain.theamplitudeofthelowest-frequencyoscillationshouldincreaseifthesystemisunstableandbreaksdowngradually.however，suchasymptomofinstabilityisnotpromiin-termiions.
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