第76章 对火星轨道变化问题的最后解释（1/13）
作者君在作品相关中已经解释过这个问题，并在此列出相关参考文献中的一篇开源论文。
以下是文章内容：
Long-termintegrationsandstabilityofaryorbitsinourSorsystem
Abstract
Wepresenttheresultsofverylong-termnumericalintegrationsofaryorbitalmotionsover109-yrtime-spansincludingallnines.Aquickinspectionofournumericaldatashowsthatthearymotion，atleastinoursimpledynamicalmodel，seemstobequitestableevenoverthisverylongtime-span.Acloserlookatthelowest-frequencyosciltionsusingalow-passfiltershowsusthepotentiallydiffusivecharacterofterrestrirymotion，especiallythatofMercury.ThebehaviouroftheentricityofMercuryinourintegrationsisqualitativelysimirtotheresultsfromJacquesskar'ssecurperturbationtheory(e.g.emax～0.35over～±4Gyr).However，therearenoapparentsecurincreasesofentricityorinclinationinanyorbitalelementsofthes，whichmayberevealedbystilllonger-termnumericalintegrations.Wehavealsoperformedacoupleoftrialintegrationsincludingmotionsoftheouterfivesoverthedurationof±5×1010yr.TheresultindicatesthatthethreemajorresonancesintheNeptune–Plutosystemhavebeenmaintainedoverthe1011-yrtime-span.
1Introduction
1.1Definitionoftheproblem
ThequestionofthestabilityofourSorsystemhasbeendebatedoverseveralhundredyears，sincetheeraofNewton.Theproblemhasattractedmanyfamousmathematiciansovertheyearsandhaspyedacentralroleinthedevelopmentofnon-lineardynamicsandchaostheory.However，wedonotyethaveadefiniteanswertothequestionofwhetherourSorsystemisstableornot.Thisispartlyaresultofthefactthatthedefinitionoftheterm‘stability’isvaguewhenitisusedinretiontotheproblemofarymotionintheSorsystem.Actuallyitisnoteasytogiveaclear，rigorousandphysicallymeaningfuldefinitionofthestabilityofourSorsystem.
Amongmanydefinitionsofstability，hereweadopttheHilldefinition(Gdman1993):actuallythisisnotadefinitionofstability，butofinstability.Wedefineasystemasbingunstablewhenacloseencounterurssomewhereinthesystem，startingfromacertaininitialconfiguration(Chambers，Wetherilmp;amp;Boss1996;Itoamp;amp;Tanikawa1999).Asystemisdefinedasexperiencinga
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