togiveanovervieeinperiodicityinplanetaryorbitalanyfaioneaxienapodrayucanalyskaryanalyeredorbitaldataintoelengtaipleof2inordertoapplyteoverlappingpart:forexaini+t，te，alintegrationlengttoeacydiagraainedabove，tycanbereplacedbyagrey-.
ent，andconnectalltolour)creactia(ti，icalaxiy)oftaleleedanfftbecauofnupoponente(ealexayedurealediagraityintlinationofeartion.infig.5，tedbyterareaaroundit.ityoftlinationofeartlyovertoveredbytrendieinotrotypicalfrequencieandele.
4.2long-teralenergyandangularulateverylong-periodicvariationandexcalenergyandangularereddelaunayeleandnetaryorbitalangularalcoanetaryorbitalenergyeperunitelylinear，tonauyandangularydoillationableandbreakradually.ofininentinourlong-terionotalorbitalenergyandangularurinnerplanetionn+2.t-periodicvariationoftotalenergy(denotedaentualcoulatedfroereddelaunayeleedifferencefroialvalueure0andnetionuallyentirelyareayandangularurplanetiudeneterfiveplanetnetaryerreparederjovianplaneteiaryableeronebecauianbeedaandirregularooreapparenttedargeextentaalvariationoftannotneglectts，aioncouplingofnetpaireindividualvariationalenergyandangularunayeleevolutionoftorationneteryandangulare.inparticular，venualpair.intativecorrelationyandpoionoorrelationinexceanacloerioninexcaneouerandidateerand.11，artionintvariationtotercuryexorrelationvereioncauionofangularrialplanetaryiivecorrelationinenergyexcorrelationinangularaypoeneralfactterajoraxeurbationtence1961;boccalettipucacco1netaryorbitalenergy(edtotbeurbingplanetentuericitieanbedierandionintajoraxeurbedbytaybeliorrelationintalenergyintaryurnanduranuakedynaouplingiparedhpair.
5±5x1010-yrintegrationaaryearyudyofity.oupleoftrialintegrationludingonlytabilityoftovertalconfigurationionofeccentricitie.13)erfiveplanetapalfrequencyoftionofplutoandtduringtrationperiodedintape.
intalerrorintyotalangularwas～10?10.
5.1reune–plutoanakai(1erfiveplanetaryorbitundteoareionperiod，andtabilityoftajorfourreundinprevioulloription，λdenoteendingnodeand?iudeofperioandneptune.
o(3:2).tθ1=3λp?2λn??plibrateplitudeofabout80°andalibrationperiodofabout2x104yr.
tofperioe3.8x106yr.tvariationyandinclinationofplutoareentofperiedintedbykozai(1962).
totune，θ3=Ωp?Ωn，circulateirculationiion.eudenodeooverlap，tobecoricitybecoentofperieeionofplutobecoricitybecoentofperiain.edterconfirarpino(1989).
anarguθ4=?p??n+3(Ωp?Ωn)librateperiod，～5.7x108yr.
inournueained，andvariationoftrduringtionperiod(figurtobedifferent:tθ4alternateionovera1010-yrtitanakaiegrationloukindofdynaainyoftaniajorfeaturerty.firnificantloeanerandeanouy’)，butnotjuezone.eureoftotion，buttodearyeoftantforturplanetaryeindynaerrearyanikaeaionualionnetongjovianplanetlyrelatedtoturendjovianplanetaalperiodalronglyperturbedbyjovianplanetaalperiodalneturbedbyanyotanetaryurbedbytualinteractionaneteineffective;tebyjovianplanetudeofter)，aurcedoplitudeofo(ej).ity，forexampleo(ej)～0.05，ioprovokeinrialplanetionatalrialplanets(>26roionabilityoftovera109-yrtiailedanalyionaldie-netary.
altrationberofintegrationofilltioreandionineindetailturplanetarydynao，t.ionaryorbiton.not.r.a.336，483–500(2002)
这只是作者君参考的一篇文章，关于太阳系的稳定性。
还有其他论文，不过也都是英文的，相关课题的中文文献很少，那些论文下载一篇要九美元（《nature》真是暴利），作者君写这篇文章的时候已经回家，不在检测中心，所以没有数据库的使用权，下不起，就不贴上来了。