对火星轨道变化问题的最后解释(1/12)

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    Long-termiionsandstabilityofparyorbitsinourSorsystem

    Abstract

    Wepresenttheresultsofverylong-termnumericaliionsofparyorbitalmotionsover109-yrtime-spansincludingallnineps.Aquispeofournumericaldatashowsthattheparymotion,atleastinoursimpledynamicalmodel,seemstobequitestableevehisverylongtime-span.Acloserlookatthelowest-frequencyosciltionsusingalow-passfiltershowsusthepotentiallydiffusivecharacterofterrestrialparymotion,especiallythatofMercury.ThebehaviouroftheetriercuryinouriionsisqualitativelysimirtotheresultsfromJacquesLaskar''''''''ssecurperturbationthe.emax~0.35yr.However,therearenoapparentsecreasesofetricityorinationinanyorbitalelementsoftheps,whichmayberevealedbystillloermnumericaliions.Wehavealsoperformedacoupleoftrialiionsincludingmotionsoftheouterfivepsoverthedurationof±5×1010yr.Theresultindicatesthatthethreemajorresoheune–Plutosystemhavebeenmaintainedoverthe1011-yrtime-span.

    1Introdu

    1.1Definitionoftheproblem

    ThequestionofthestabilityofourSorsystemhasbeeedoverseveralhundredyears,siheeraofon.Theproblemhasattractedmanyfamousmathematisovertheyearsandhaspyedatralroleinthedevelopmentofnon-lineardynamidchaostheory.However,wedohaveadefihequestionofwhetherourSorsystemisstableornot.Thisispartlyaresultofthefactthatthedefinitionoftheterm‘stability’isvaguewhenitisusediiontotheproblemofparymotionintheSorsystem.Actuallyitisogiveaclear,rigorousandphysicallymeaningfuldefinitionofthestabilityofourSorsystem.

    Amongmanydefinitionsofstability,herettheHilldefinitionGdman1993:actuallythisisnotadefinitionofstability,butofinstability.Wedefineasystemasbeingunstablewhenacloseenteroccurssomewhereiem,startingfromacertaininitialfigurationChambers,Wetherill&Boss1996;Ito&Tanikawa1999.AsystemisdefinedasexperiengacloseenterwhentwobodiesapproaeahinahergerHillradius.Otherwisethesystemisdefinedasbeingstable.Henceforwardwestatethatourparysystemisdynamicallysta

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