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对火星轨道变化问题的最后解释

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不可抗御的原因,域名改为dsyq.org/感谢收藏^_^

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-teraryorbitsinoursolarsystem

abstract

,atleastinoursis,±5x–plutosystemhavebeenmaintainedoverthe1011-yrtime-span.

1introduction

thequestionofthestabilityofoursolarsystersystem.

admp;amp;boss1996;itoamp;amp;tanikawa1999).,about±,(yoshinaga,kokuboamp;amp;makino1999).ofcoursethisstatementcannotbesimplyappliedtosystemswithstableorbitalresonancessuchastheneptune–plutosystem.

inadditiontothevaguenessoftheconceptofstability,theplanetsinoursolarsystearysystesforaperiodcoveringseveral10gyrtothoroughlyunderstandthelong-teraryorbits,sincechaoticdynamicalsystemsarecharacterizedbytheirstrongdependenceoninitialconditions.

fros(sussaryorbits,theyperforaryorbits,whichcanbeatypicalindicatoroftheinstabilitytisres(venustoneptune),whichcoveraspanof~,butitseesalsoreroscillations.

ontheotherhand,inhisaccurateses,especiallyofskar1996).theresultsoflaskarssecularperturbationtheoryshouldbeconfirmedandinvestigatedbyfullynumericalintegrations.

inthispaperwepresentpreliaryorbits,coveringaspanofseveral109yr,andoftwootherintegrationscoveringaspanof±5x,,atleastoveratiaryorbitaleleunayelermomentumdeficit,andresultsofoursimpletime–frequencyanalysisonallofourintegrations.

insection2webrieflyexplainourdynasthatspans±5x.

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。)

weutilizeasecond-orderwisdom–holmansymplecticmapasourmainintegrationmethod(wisdomamp;amp;holman1991;kinoshita,yoshidaamp;amp;nakai1991)withaspecialstart-upproceduretoreducethetruncationerrorofanglevariables,‘warmstart’(sahaamp;amp;tremaine1992,1994).

thestepsizeforthenuparetheseintegrationssimplyintermsofstepsizes.

intheintegrationoftheouterfiveplanets(f±),wefixedthestepsizeat400d.

weadoptgaussfandgfunctionsinthesymplecticmaptogetherwiththethird-orderhalleymethod(danby1992)smethodis15,buttheyneverreachedthemaximuminanyofourintegrations.

theintervalofthedataoutputisd(~547yr)forthecalculationsofallnineplanets(n±1,2,3),andaboutd(~yr)fortheintegrationoftheouterfiveplanets(f±).

althoughnooutputfilteringwasdonewhenthenumericalintegrationswereinprocess,.

accordingtooneofthebasicpropertiesofsyrngulartiveerrorintotalenergybyaboutoneorderofmagnitudeormore.

relativenungularngularmomentum,respec

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