nsincludedonlytheouterfivelas(ussman&inoshita&&akai1996).hisisbecausetheorbitaleriodsoftheouterlasaresomuchlongerthanthoseoftheinnerfourlasthatitismucheasiertofollothesystemforagivenintegrationeriod.tresent，thelongestnumericalintegrationsublishedinjournalsarethoseofuncan&&issauer(1998).lthoughtheirmaintargetastheeffectofost-main-sequencesolarmasslossonthestabilityoflaaryorbits，theyerformedmanyintegrationscoveringuto～1011yroftheorbitalmotionsofthefourjovianlas.heinitialorbitalelementsandmassesoflasarethesameasthoseofourolarsysteminuncan&&issauer'saer，buttheydecreasethemassoftheungraduallyintheirnumericalexeriments.hisisbecausetheyconsidertheeffectofost-main-sequencesolarmasslossintheaer.onsequently，theyfoundthatthecrossingtime-scaleoflaaryorbits，hichcanbeatyicalindicatoroftheinstabilitytime-scale，isquitesensitivetotherateofmassdecreaseoftheun.henthemassoftheunisclosetoitsresentvalue，thejovianlasremainstableover1010yr，orerhaslonger.uncan&&issaueralsoerformedfoursimilarexerimentsontheorbitalmotionofsevenlas(enustoetune)，hichcoverasanof～109yr.heirexerimentsonthesevenlasarenotyetrehensive，butitseemsthattheterrestriallasalsoremainstableduringtheintegrationeriod，maintainingalmostregularoscillations.
ntheotherhand，inhisauratesemi-analyticalsecularerturbationtheory(askar1988)，askarfindsthatlargeandirregularvariationscanaearintheeentricitiesandinclinationsoftheterrestriallas，eseciallyofercuryandarsonatime-scaleofseveral109yr(askar1996).heresultsofaskar'ssecularerturbationtheoryshouldbeconfirmedandinvestigatedbyfullynumericalintegrations.
nthisaereresentreliminaryr
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