对火星轨道变化问题的最后解释（1 / 2）

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作者君在作品相关中其实已经解释过这个问题。

不过仍然有人质疑——“你说得太含糊了”，“火星轨道的变化比你想象要大得多！”

那好吧，既然作者君的简单解释不够有力，那咱们就看看严肃的东西，反正这本书写到现在，嚷嚷着本书BUG一大堆，用初高中物理在书中挑刺的人也不少。

以下是文章内容：

LongtermintegrationsandstabilityofplaaryorbitsinourSolarsystem

Abstract

Wepresenttheresultsofverylongtermnumericalintegrationsofplaaryorbiarymotion，atleastinoursimpledynamicalmodel，passfiltershowsusthepotentiallydiffusivecharactnsisqualitativelysimilartothelarincreasesofeccentricityorinclinationinanyorbitalelementsoftheplas，whigmotionsptune?Plutosystemhavebeenmaintainedoverthe1011yrtimespan.

1Introduction

1.1Definitionoftheproblem

ThequestionofthestabilityofourSolarsystemhasbeyearsandhasplayedacentralrterm‘stability’isvaguewhenitisusedinrlymeaningfuldefinitionofthestabilityofourSolarsystem.

Amongmanydefinitionsoccurssomewhereinthesystem，startingfromacertaininitialconfiguration(Chambers，WetherillBoss1996;Itobodieswestatethatourplaarysystemisdynamicallystableifnocloseencoanoccurrenceofanyorngisverylikelytoleadtoacloseencounterinplaaryandprotoplaarysystems(Yoshinaga，KokuboithstableorbitalresonancessuchastheNeptune?Plutosystem.

1.2Previousstudiesandaimsofthisresearch

Inadditiontothevaguenessoftheconceptofstability，theplasinourSolarsystemshowacharactertypicalofdynamicalchaos(Sussmansbeingaresultofresonanceoverlapping(MurrayHolman1999;Lecar，Franklinetarysystemsincludingallnineplasforaperiodcoveringseveral10Gyrtothoroughlyunderstandthelongtermevolutionofplaaryorbits，sincechaoticdynamicalsystemsarecharacterizedbytheirstrongdependenceoninitialconditions.

Fromthatpointofview，manyofthepreviouslongtermnumericalintegrationsincludedonlytheouterfiveplas(SussmanWisdom1988;KinoshitasomuchlongerthanthoseoftheinnerfourplasthatitismurnalsarethoseofDuncanesolarmasslossonthestabilityofplaaryorbits，theyperformedmanyintegrationscoveringupeasthoseofourSolarsysteminDuncanLissauer'spaper，buttheydecreasetaryorbits，whichcanbeatypicalindicatoroftheinstabilitytimescaLissaueralsoperformedfoursimilarexperimentsontheorbitalmotionofsve，butitseemsthattheterrestrialplasalsoremainstableduringtheintegrationperiod，maintainingalmostregularoscillations.

Ontheotherhand，inhisaccuratesemianalyticalsecularperturbationtheory(Laskar1988)，Laskarfindsthatlargeandirregularvariationscanappearintheeccentricitiesandinclinationsoftheterrestrialplas，especiallyofMeconfirmedandinvestigatedbyfullynumericalintegrations.

Inthispaperwepresentpreliminaryresultsofsixlongtermnumericalintegrationsonallnineplaaryorbits，coveringaspanofseveral109yr，nsisthatSolarsystemplaarymotionseemstobestableintermsoftheHillseperiod，butalsoalltheplaaryorbitalelementshavebeenconfinedinanarrowregionbothintimeresultsofourlongtermnumericalintegrations，weshowtypicalexamplefiguresasevidenceofnumericalresults，wehavepreparedawebpage(access)，whereweshowraworbitalelements，theirlowpassfilteredresults，variationofDelaunayelementsandangularmomentumdeficit，andresultsofoursimpletime?frequencyanalysisonallofourintegrations.

InSection2webrieflyexplainourdynamicalmodel，nu4goesontoadiscussionofthelongesttermvariationofplaaryorbitsusingalowpassaarymotionanditspossiblecause.

2Descriptionofthenumericalintegrations

（本部分涉及比较复杂的积分计算，作者君就不贴上来了，贴上来了起点也不一定能成功显示。）

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