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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