对火星轨道变化问题的最后解释

作品:《死在火星上

    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:

    long-teringunstablewhenacloseencounteroccurssoprehensive,butitseeputationprocesses.inrelationtothis,wisdoparetheseintegrationssipletedallthecalculations.seesection4.1forparedtheresultofourparethetestintegrationwiththeposedintofrequencycoponentperunitpletelylinear,theorbitalenergyandtheangularponentoftheinnerfourplanetscalculatedfroparedwiththoseoftheouterjovianplanets.anotherthingwenoticeisthattheinnerplanetarysubsysteeunstableparedwiththatofthevenus–earthpair.

    5±5x1010-yrintegrationsofouterplanetaryorbits

    sincethejovianplanetaryeszero,i.e.thelongitudesofascendingnodesofneptuneandplutooverlap,theinclinationofplutobecoeses90°.whenθ3becoeseses90°again.williams&bensonanticipatedthistypeofresonance,laterconfirmedbymilani,nobili&carpino.

    anargumentθ4=?p??n+3libratesaround180°withalongperiod,~5.7x108yr.

    inournumericalintegrations,theresonances–arewellmaintained,andvariationofthecriticalargumentsθ1,θ2,θ3remainsimilarduringthewholeintegrationperiod.however,thefourthresonanceappearstobedifferent:thecriticalargumentθ4alternateslibrationandcirculationovera1010-yrtime-scale.thisisaninterestingfactthatkinoshita&nakai'sshorterintegrationswerenotabletodisclose.

    6discussion

    whatkindofdynamicalmechanismmaintainsthislong-termstabilityoftheplanetarysystem?wecanimmediatelythinkoftwomajorfeaturesthatmayberesponsibleforthelong-termstability.first,thereseemtobenosignificantlower-orderresonancesbetweenanypairamongthenineplanets.jupiterandsaturnareclosetoa5:2meanmotionresonance,butnotjustintheresonancezone.higher-orderresonancesmaycausethechaoticnatureoftheplanetarydynamicalmotion,buttheyarenotsostrongastodestroythestableplanetarymotionwithinthelifetimeoftherealsolarsystem.thesecondfeature,whichwethinkismoreimportantforthelong-termstabilityofourplanetarysystem,isthedifferenceindynamicaldistancebetweenterrestrialandjovianplanetarysubsystems.whenwemeasureplanetaryseparationsbythemutualhillradii,separationsamongterrestrialplanetsaregreaterthan26rh,whereasthoseamongjovianplanetsarelessthan14rh.thisdifferenceisdirectlyrelatedtothedifferencebetweendynamicalfeaturesofterrestrialandjovianplanets.terrestrialplanetshavesmallermasses,shorterorbitalperiodsandwiderdynamicalseparation.theyarestronglyperturbedbyjovianplanetsthathavelargermasses,longerorbitalperiodsandnarrowerdynamicalseparation.jovianplanetsarenotperturbedbyanyothermassivebodies.

    thepresentterrestrialplanetarysystemisstillbeingdisturbedbythemassivejovianplanets.however,thewideseparationandmutualinteractionamongtheterrestrialplanetsrendersthedisturbanceineffective;thedegreeofdisturbancebyjovianplanetsiso,sincethedisturbancecausedbyjovianplanetsisaforcedoscillationhavinganamplitudeofo.heighteningofeccentricity,forexampleo~0.05,isfarfromsufficienttoprovokeinstabilityintheterrestrialplanetshavingsuchawideseparationas26rh.thusweassumethatthepresentwidedynamicalseparationamongterrestrialplanetsisprobablyoneofthemostsignificantconditionsformaintainingthestabilityoftheplanetarysystemovera109-yrtime-span.ourdetailedanalysisoftherelationshipbetweendynamicaldistancebetweenplanetsandtheinstabilitytime-scaleofsolarsystemplanetarymotionisnowon-going.

    althoughournumericalintegrationsspanthelifetimeofthesolarsystem,thenumberofintegrationsisfarfromsufficienttofilltheinitialphasespace.itisnecessarytoperformmoreandmorenumericalintegrationstoconfirmandexamineindetailthelong-termstabilityofourplanetarydynamics.

    ——以上文段引自ito,t.&tanikawa,k.long-termintegrationsandstabilityofplanetaryorbitsinoursolarsystem.mon.not.r.astron.soc.336,483–500

    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。