第76章 对火星轨道变化问题的最后解释（7/12）
aynotbeagoodmeasureoftheauracyofnumericalintegrations，eseciallyasameasureoftheositionalerroroflas，i.e.theerrorinlaarylongitudes.oestimatethenumericalerrorinthelaarylongitudes，eerformedthefolloingrocedures.earedtheresultofourmainlong-termintegrationsithsometestintegrations，hichsanmuchshortereriodsbutithmuchhigherauracythanthemainintegrations.orthisurose，eerformedamuchmoreaurateintegrationithastesizeof0.125d(164ofthemainintegrations)sanning3105yr，startingiththesameinitialconditionsasinthe?1integration.econsiderthatthistestintegrationrovidesusitha‘seudo-true’solutionoflaaryorbitalevolution.ext，earethetestintegrationiththemainintegration，?1.ortheeriodof3105yr，eseeadifferenceinmeananomaliesofthearthbeteenthetointegrationsof～0.52°(inthecaseofthe?1integration).hisdifferencecanbeextraolatedtothevalue～8700°，about25rotationsofarthafter5yr，sincetheerroroflongitudesincreaseslinearlyithtimeinthesymlecticma.imilarly，thelongitudeerroroflutocanbeestimatedas～12°.hisvalueforlutoismuchbetterthantheresultininoshita&&akai(1996)herethedifferenceisestimatedas～60°.
3umericalresults–.lanceattheradata
nthissectionebrieflyreviethelong-termstabilityoflaaryorbitalmotionthroughsomesnashotsofranumericaldata.heorbitalmotionoflasindicateslong-termstabilityinallofournumericalintegrations:noorbitalcrossingsnorcloseencountersbeteenanyairoflastooklace.
3.1eneraldescritionofthestabilityoflaaryorbits
irst，ebrieflylookatthegeneralcharacterofthelong-termstabilityoflaaryorbits.urinterestherefocusesarticularlyontheinnerfourterrestriallasforhichtheorbitaltime-scalesaremuchshort
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