srlossthe stbltyry orbts， they perfordtegrtons covergto 1011of the orbtl tonsthe four jov tl orbtl elents nd ssespls re thes thoseour sr systenbsp; duncn & lssuer&039;s pper， but they decrese theof the sun grdullyther nurcbecuse they consder the effectpostsequence srlossth， they found tht the crossg tsclery orbts， whch cn typcl dctorthe stblty tscle，qute senstvethe rtess decreseth theof the sunclosets present vlue， the jovn pls re stble over 1010 yr，perhp & lssuer lso perford four sr expertsthe orbtl tonseven pls venusneptune， whch covepn109 yr. ther expertsthe seven pls re not yet prehensve， butsee tht the terrestrl pls lso re stble durg the tegrton perod， tg lst regr osctons.
on the other hnd，hs urte senlytcl secr perturbton theoryskr 1988，skr fds thtr nd rregr vrtons cn pperthe entrctes nd tonsthe terrestrl pls， especllyrcury nd mrs tscleseverl 10sk resultskr&039;s secr perturbton theory shouldconfrd nd vestgtedfully nurcl tegrtons.
ths pperpresent prry resultssx longternbsp;nurcl tegrtonsll ne ry orbts， coverpnseverl 109 yr， ndtwo other tegrtons coverpn of51010 yr. the totl psedfor ll tegrtonsre thn 5 yr， usg severl dedcted pcsof the fundntl conclusonsour longternbsp;tegrtonstht sr systenbsp;ry ton seebe stbleterthe hll stblty ntoned bove，lest ovespn of，our nurcl tegrtons the systenbsp;ws frstble thn whtdefedthe hll stblty crteron: not only ddclose encounter hppen durg the tegrton perod， but lso ll the ry orbtl elents hve been confed nrrow regon botht nd frequency do， though ry tonsthe purposeths pperto exhbt nd overvew the resultsour longternbsp;nurcl tegrtons，show typcl exle fguresevdencethe very longternbsp;stbltysr systenbsp;r reders who hvespecfc nd deeper terestsour nurcl results，hve prepreebp ess ， whereshow rw orbtl elents， ther lowpss fltered results， vrtonduny elents nd ngr ntunbsp;defct， nd resultsour sle t–frequency nlyssllour tegrtons.
secton 2brefly ex our dyncl del， nurcl thod nd tl condtons usedou 3devoted descrptonthe quck resultsthe nurc longternbsp;stbltysr systenbsp;ry tonpprent bothry postons nd orbt esttonnurcl errorsls 4 goestscussonthe lonstternbsp;vrtonry orbts usowpss flter nd cludescussonngr ntunbsp; secton 5，presenurcl tegrtons for the outer fve pls tht spns51010 yr.secton 6lso dscuss the longternbsp;stbltythe ry ton nd ts possble cuse.
2 descrptonthe nurcl tegrtons
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。
2.3 nurcl thod
we utlzecondorder wsdoholn sylectc pourtegrton thod wsdonbsp;& holn 1991; kosht， yoshd & nk 1991 wtpecl strtup procedurereduce the truncton errorngle vrbles，wrnbsp;strtsh & tree 1992， 1994.
the stepsze for the nurcl tegrtons8 d throughout ll tegrtonsthe ne pls n1，2，3， whchbout 111the orbtl perodthe nersor the deterntonstepsze，prtly follow the prevous nurcl tegrtonll ne plssussn & wsdonbsp;1988， 7.2 d nd sh & tree 1994， 22532 d.rounded the decl prtthe ther stepszes8ke the stepsztple2orderreduce the tonroundoff errorthe putto r
