t， nd connect ll the greysclecolour chrts to one grph for ec horzontl xsthese new grphs shouldthe t， .e. the strtg tsech frgntdt t， where 1，…， n. the vertcl xs represents the perodfrequencythe osctonorbtl elents.
we hve doptedfft becusets overwhelng speed， sce the untnurcl dtbe dposed to frequency ponentsterrbly hu severl tensgbytes.
typcl exlethe t–frequencretedthe bove proceduresshown greyscle dgrnbsp;， whch shows the vrtonperodctythe entrcty nd tonerthn fg. 5， the drk re shows thtthedctedthe vluethe bscss， the perodcty dctedthe ordtestronr thnthe lghter re round t.cn recognze fronbsp;thht the perodctythe entrcty nd tonerth only chns slghtly over the entre perod coveredtherly regr trendqulttvely the other tegrtons nd for other pls， lthough typcl frequences dfferbynd elentelent.
4.2 longternbsp;exchnorbtl energy nd ngr ntubr>
we clcte very longperodc vrton nd exchnry orbtl energy nd ngr ntunbsp;usg fltered duny elents l， g， h. g nre equvlentthe ry orbtl ngr ntunbsp;nd ts vertcl ponent per unt ss. lrtedthe ry orbtl enerr unt the systenbsp;s pletely ler， the orbtl energy nd the ngr ntunbsp; ech frequency bbthe ry systenbsp;cn cuseexchnenergy nd ngr ntunbsp; the frequenc ltudethe lowestfrequency oscton should cresethe systenbsp;s unstble nd breks dow， sucytonbsp;of stbltynot pronentour longternbsp;tegrtons.
， the totl orbtl energy nd ngr ntunbsp;of the four ner pls nd ll ne pls re shown for tegrton n2. the upper three pnels show the longperodc vrtontotl energy denoted se e0， totl ngr ntunbsp; g g0， nd the vertcl ponenthof the ner four pls clcted fronbsp;the lowpss fltered dun， g0，denote the tl vluesec bsolute dfference fronbsp;the tl vluesplottedth lower three pnelsech fgure showee0，gg0 ndhh0the totln fluctuton shownthe lower pnelsvrtully entrelesultthe ssve jovn pls.
corg the vrtonsenergy nd ngr ntunbsp;of the ner four pls nd ll ne pls，s pprent tht the ltudesthosethe ner pls resller thn thosell ne pls: the ltudesthe outer fve pls rrr thn thosethe ne does nottht the ner terrestrl ry subsystenbsp;sstble thn the outer one: thsslesultthe rtve sllnessthe ssesthe four terrestrl pls pred wth thosethe outer jov thgnotcetht the ner ry subsystenbsp;yunstblerpdly thn the outer one becusets shorter orbt cnseenthe pnels denoted sner 4 the lonrperodc nd rregr osctons repprent thnthe pnels denoted stotl 9. ctully， the fluctutonsthener 4 pnels rer extent resultthe orbtl vrtonth，cnnot neglect the contrbuton fronbsp;other terrestrl pls，we wll seesubsequent sectons.
4.4 longternbsp;couplgseverl neghbourgprs
letseedvdul vrtonsry orbtl energy nd ngr ntunbsp;expressedthe lowpss fltered dunndshow longternbsp;evolutonthe orbtl energyechnd the ngr ntunbsp;notce thtpls fornbsp;pprent prsterorbtl energy nd ngr ntunbsp; prtcr， venus nd erth typc the fgures， they show negtve corrtonsexchnenergy nd postve corrtonsexchnngr ntu the negtve corrtonexchnorbtl energy ns tht the two pls fornbsp; clo
