Fors\303\270g til illustration af radialhastighedsm\303\245lingen af exoplaneter MFNWtKUb<ob<R=MDLCdNVZUl:hJ>T:XOCESwBB`N\\@Nd\\QgqxhYJxxneyy]Aya\\rXDKkPLd]NbesRDpQEO\\`xa]pBhuTYo=EkSQyo=yKEPt<WfiTNqWOuygPKDewOdoReM^lR?qN<MVIxywaUGMmCMNeYyGyxoaYvlwiYmiQqqaummSlYwUIqqaMuxR@D:;B:;dFOHJe:;J>hC;B:DVMJ:<RRa:<Z[W<>Z:?u>Z:>\\pF:>ZZ^g<Z:>;B:DF>:CVMB:@@>Z:;<J:;;BBZ:>;B:<;B:C><Z[;;BJZ:>JJ:<<B:K:<ZJ:<J<[:RRJ:NRB:;>>ZZ:<JZ:;B>Z:^JB:\\Zcw_Z>^:opiwuHgB>ZBwlfIo<`juPh_QkFp]wNePyoYw_;Hj;pveoeXoeLioUw`couvHi\\pxOGoLg^mIhUqpgOdqpgWO_QZ:FfMq\\?fZ?FkAxjA`j>`jBomvFi>YtMYtFvmEyliv`qhnEwlDwjHf]\\vaixaeYwkijCguApwevdh`eNo?>Z<qngP]oNgNH]Hfh^VtQytQ_mV`m\\VbbpqQN]TN]gYxQqoWWi\\qyhpewPc_P:>>ohHuRcctUwWxGES[HOWgeWgfSUp_cDK:;B<`lmDV<aJSlQv=Y^YxtexdiRxaw]Yv]Tr@hKmtYHYmqtosLTtAwKYnRUyRUqpeoFEmldRvayvasaqWhmWLynIuMcIumxVn@neXndPyX]rbUWaqsWhsiAw_LqUxPimLquXqEMj<fSpawOqV>aj?bh_urH^Yoisif^?hPywG`]sNtvaevwvlPh_Qckyxqy`YXw__r=ojFFkpGqjB:;J\\QlkYR=dtjaXuxXiqPadJt\\XbAlvpxTYWLhQumxrtQqyxYyYE=UR=msEmfiwUypGAjPEn<eJcDUl`nn<WJARDylitWxmW>AkKlv]]sdytj=yhYqiqRxmnCUl`lVb`Ur@X[`WTapcLukxkVDQ\\TxaysQ`WSQpCQv?YkGYy=exXMtZAvZUxmeREpLOHoMunThvpXpmXPqiYpawSUpVLUxdKKPMvTuoXWamJNAKtuOdpY@ukchVQAnUeqteXmYxmxVIqlExLiLSEpLg<wN<:;BkQV^UH;_XNMTAeCo;XOOGOMsFKbksRTcdHOycqtfGUmSxmyewmxSMbaUeOifJ]XNKT=SvQyUyeEswWWcCG?E[_eusXh]vbAW>cGMob?eEw_ci]dLuiUyiyuYSSH`]cswUG[dTmRwqghYXfAukGdYgtaQytouEOEoix;YbASeYItweXdatCGUnEB:>\\intSacZf[kO]`axlhdw`yOw_OhtJIoQPmd?hEo[tGke_bjhkSNfwhqwhsAIempf?IyWg]Saki>gdfq^ohTapcGluitAgq^ndgyuyxaTyfAykYvg@xtbHbmnvqolfFe<wn:>:;B>TNUHkF\\mAykYtPa\\JtuywyxGYsMePnMW:\\y`YmimmRlxLLN\\qUDeMKdkrxUmlnBhxwTVtMuttmOMoNEkoQUKPN?MVwpn]XoTlno\\Te=lHHw^IsMpv]pUTY;<J>FsbNvLGeGfmtGiepZ:gqAOd=@gl?ktFrJ_cKwwg`cCG\\;OaxnkHpkn_:>Z>hsNP[WhfDalKPcOP_SHvFwb?Vl]qa@Aq`?oGggtwubQqoWwb_F>ZIajuo`M@cifmOI]aWlMh^VOnT`e]`P>ZBBXGbHmCNChHcVh_UsOVwwY`asS_BiYG\\[hhOUoOGGqsAuRdeT>ASgB:;L`@LwxPMulvAUupXg]oZHQt]xbUxaemJuNdaJ;ekTdPltMqpWWQmZYv>]snQomHr@aKtMYfdmjxREQlL`X@IUWMN?EwtumktRSexspuaPMJ<L:ur:JJtOhIuFOaeWg>a[kPa;wcoQwOisQY^`_kOytno`TAodwthhgxNwT`luqxgY`yogQqoW_ooN`]Ptu?bo^mdyhditexf@>uLh^EobUfaWH`]obDxmipo?Io_ot]OgS^h>id=?oXOeUF`UngYqqwGwRZ:>;MTbafySupgWmstP_UyoYw]VBatJktnGWMEEv;Yj]goEHoYIEudhcHQ?SC?CgevEydyMwk_Xg[stixeYs<gBE[s]AWrWtjSgeaVpoWWQuF[fK[UV]UFyRWyXv]UWeUGyRAsBA?UiiroEuiOtmEtCIb`qsWWGesTh_cFKit]EWcxfatcWTLwdsEB:>btqfqAsLnnxfp?QkqXpmv]cpI<J:`xBXYpTt:hNFqPEJ:DOCXsbUTKpShYnQxrhiuuxtvmoeEU<>:;bjGc^CCGcCG_iYYTiIrnixoifL=J:>bRabLAwFnoFQvD>:;BjgBVYhCB:;>>ZZ^g<Z:>;;B:<ZJn@B:CVMB:@pC<Z:>:?P:B:;>>ZZ:<JZ^Z:J:<;B:C><ZB:;J[[:>JJ:FFB:;<>ZJ:<J<[:B<J:NRB:;>>:==<JZ:;BcAewcTZEE<wsWmd]uFHASZIsmOXvavkCixeIFMr<ygD=uGYY@YvgUXEsCywyIYxAKdmsR@UVEaFsKhUYEIGUFgGUGyvsVpuRCieusfN_GxaiN_GK=ur]GfcbWWxKEr:BBTtm@pjYUlXViIVs\\yaIPC\\QkynK\\OG@XsMN>]MlEkrhlrxV>XremRB]KPtjVyX_tTHYy@=YnlpVtkq`MtAmwqmK<PiYSriSuUNrmVlLJbHxRDpStoWAKmxlJYwShvi@NaEycUTXTvRDm?AsgPvP]uKAuqXkk]kLQTxIyainHexlqV:e:<J<W_nAwKY^SIqiAkK>`=^fAqqwNpy>^ROgQWqefle^mKx\\eaeOpuWogRFZj^clwvvxlbhyd?\\Oi_xGjKxaWw[Eaf>psVpbjhs__ZUaqlvhCG\\cIyhofcPwhQf>psTPdUYn\\H]xfwfawb?@<Z>tLeesSYCmtfWy?mhiYu_]bFYtLEv?CH<ausEEVywRGxrESfYHxKSOQxb=dg_U[[rVaRHUEUIBswy:qsbSUxUVUyGY_Skmd=uYRISWQwIISWOWocfOUh@MT>iFycCCB:?hSotXkIv]FewYTqFewthGdwsiXodpsGYudhgWISsFGCQ_r[stwSse=Y];xp;goEtVaTbicFmVray_ur[EWrQudCgKevsCWMaioGXXcx^SR@kRvCB:>lrnhI`xtvcvVpWoyA_k:HywH\\nvimNZTie]>nWN`<NuCV^ZHeigpx^ibwfVxcKWvv`uG@vVhrrvmDorsgpLPeXfvb?H<ZCNrBqvmNevPg=`sxQic`fFA\\d_Zkxa^Wxqv^_@kEisnGhhO]NxeeGhDauHamGqg>vs=OxXy^uav;YrvNtuXhAGwLqpCf=>:=uFmSYeGyqU`mGTeFhgrh=sRGvucfxesEGwtaYo;RygtmyCmUutWi:_sT]X?mfg;UbcYuoidsgueh[WR:BZ`SDHqEmTEas?Xo^`WcAXS`x;qKchUgQpGit;pJeQyotqQhmuQxSDnm\\TvuviPlxhuTASIqSgEwZ>:;B>HkkTWKQSSHpjYQcPT[\\S`pkUINoLoVEpsQQKAnWUqTyyCqmYem^mx\\Yw@=wvqTtiXeEOwMqp=n=AJ:BJkHY_Vqqy]OxCadcOdmsr?CewCYE_Tg?YOOSCGR=wXGOGy;sxYbsevMIEqcvAicUgV^YuiASGQg_EgV;Z:V]QHx=WZOAxiXuqowDyrYpi[naYo_LpyixwQx[wxpDXc;YeN_sM>gwaqPQvIGinA_Fojx_i>osYOa[fpvNoEhqwobdv:n\\iGuldN=gJERhkUv?GgKUn?f<MdCSFUGLoYrPDMqirfDWTAvd`wrIvaUkVuMMQloMYoyScEt^<S@iYXLOoxUC<lqqJouP<=Omtt<>Z:hfufitapsA]N^\\>gfJn`MxtsXkQ_vwHhMgvfij=PxsAmWFwxojSal^HZWyfnqbcGpu@jK^ui?sIX]p@sRIdiQkmGZaN_AZBOnSX`aOcypiwarAyrAojGV]@?un`fUvphy\\iy[aVcQphagfXyvU?wwHs^IxFipy>s^HwQhv_q[;P`cYr[NtrpqAf\\=Z^Fbb?gbhtNht`Xr`y\\mx\\Baw?yaTFbbwqnVgrOjXXm<^quywPPxi^mLHb]xwCwoHic_?dYpaNO;;JjHJpDMpTRi]jEAlIlrB=UrIXSupnyNcLvlUlX@l<Pmo\\QadvYxyC]qyLYZdq@ty_TlyLyB]MlevZPV:>ZZFu?_e`Oa]orFFgUqpg`kXfaTaMKCCCCKsHqsHSKIn=gniwUyHKUyUeitDxmYxmtmeqQtaxcYNwTYpaLatnyuWOTtuiQoiQit_\\YweY?IimeVPagSMDR;ERCyW?yhSYG;CB;dImIsaRPygYuWPWHImevKt[WRACxpqxPsTQuTmYHUyhiudtexdiRxuVrAx[qv`_IwcI_eutgXPstPkHqSEgqswub_WuUWf^OU_yi^MwRyE_sHM?B_OCgwvpwysYR<kc`mdIkFfedlgfEUsmebE;TkjfpPgMu^TMqlWN`MsLXBAn;Uj^UuphWLAn;UJm<rWDQl]Rx=y[yJsxXiqmv`xLYSKxuSIp]ujsimLhNEMSQpOWMNYuoPeoTHMRtoXeqdmw=uuYypiumsIUG<kKuQeXyXxQymq^UsPhSPtOX]OE^ebojFw\\Qv\\miawqcFYvdf[<icT``KXpawsDwyxiy_ilQoeK`wSYpEQj?V[^Gt\\hbLaoSW`c^db@lSNbI_mr_ionf>?hhpewPqSondhdeprTyo_>pcHlGgmgohbybMgvMykpAcUpva?yG_c=VnYiu\\fvYx_\\fmA^uPHkY^q_fgYGg:gn:ZSi_YoqV_av^a^osVHa\\qwhq]S^wtnhfA_]qrGX`Ao^]nbGVv]XnLXcQp_ovbSV^b?sf`dcPlsNtcxaA_wuNjyxqyH]fg`^qtgXeqntkwZIn]VFa\\Ni_QsOF]j>f:HysgyX_tlaphguTayHpkXOwbhnXvbYv^F?mZoqpanKPdEGl;qdtVu<hfYQsAYly`lOVpqV\\nVtRptypp=yrMxnTfwlPjDF:<NSIwByU>=SE@n[HT=<oTAp[UrMux[XNTHT=pnLiyciVePOr<QrlsiiWXaqs>tF@ahplAgyxYyiIlixoTgpDa]_`tE?g]oZYAkiAgbhpPi^S_g\\_fmOwViZl`hoyk@?rSw_i^lvpsiom?>oPGwdHtXV]^xvZVasH\\XN_igxfic_@:BtEYc]tuMG][heutHaE?]tKEsaetbGT]SH>kEx[YRMeqsWXSwwAe]geKcvKIdLAgnqUJef_EtKSsrAw_khIUE?gFfmf;GXY]SKwUpmWMgdmwtDEVamF<Kh^KEvyTRcwLiYJYFsGDPkF]ousudDEB:Fo\\F`]hjtFaIqsWXa]vmeii[HscOynIwI_iyvdh`ePGeAIwt^gHP]qnexa[Vyf>fsyY\\A`uF_Z^Gkny]:ndHqyXOivXy:Agi@hSv`diidf:n\\;wwo`tuO_oQdQalNfxxqsna^WqjGIfYvidv\\ivyfV_`wyfF]m^a\\y`?Qjcya>^oRhq@OiHN[mNugVqF?yiAfdf:F_\\^`n^tv_tS^eY`bAW`oOjXfmvxbaF[LI]]W^hVsG@m^x^s`msVlxvvNHcQX\\>FyvGweFbaxhBQjcV]CNmPObUIcUY_jatPWnwqaaPb:B:[FCIx]yrGIuXUVLIUdeT?OCOkeriyBWs`uRF?E[mSPYDQiyYGSOCDreXSWd>QIsMx^CVmchGIytEifWunYcFQerYByGVP=WpafY_cpYuh]h]QRdSB:<JXHmHmr]XWNmbionH@cdYwtNecX^OH[KF`LN];w^mI]ynivOpNHdQxeKOaSAtFImmVfwxoQHxxxxXYiKqeeheuppsAqxgytWkiWjnghSfwdipUhfDamOOxgaayFsUxvhvq[odBWugot^hxlQmkYiQxtkvmvPu\\HaOP:<R\\HwlHNT\\OoITQPOKIlHAkSAVahSUpxNIlDeyHpUdToeUVdiQUhrExLqtRMdXltMWmQ?uVnhSddm[md\\XoQXwpYwQyc@okVF_OYoQwkF>nDYsEY_TyhDalcVf@hfwv\\WHvPw@QHi[bGaDlgVQ=bvgHdYSsqVXqDcCU\\qBygUP]gNWwGCewCQseoAYNkMsU=TT\\tdPS_@Z:bbKE<aYv]YFiHfSFhceOAdrIuaue?QeFwr;Ir;aYn]Xn]cveSQwGKIcumivQxEAsSQVoYyTkCE_DcKFoQwOYcvqelEXkEHYcHBkr_KwxWfLYSneXyMYVcEg_cBCeTkXUahcUFgUupgcpIYGCstocaugXeiFAreWW;Ow_oiP?shId;QuuKt[yIH=SUqe][VlyRuef?UvM_y`efMsIh]XKGFY[tKgTmeY^_yEcFb?D:;B:[IO]r^iITktfCXnwsP_fEWQHdyr]mF`YayO<pVtTt\\HxSUnWuKRdwuljDAJ:>ZJn`MwtuwmF?lLqoagvoqxA>gGahbixpyrFpxwYubwf<v^:>:;DpSTCyHykWPggugy_MrbuITMHWSejKYm_WUYDZ]hqQUdS:sSN]hbETmIHxWY^Cdt]gpMbZWDawsCAxkSt^EtQwiBmdfsCbEsn]SUytaiygKtoiSuCgLEfl_dbKwFef:;J:]mnMrWduJpxfpX^UXrAmkMxhummLTEYvldobUJnhmYiwM\\VnXQQXt<<J:>[UH_^_yNIgLX_ayul>pAqgT?t@`[fIxeHuhYvapc[P`:B:;bjGevoYu[XFmDfsu^kI]Ge@AuPCyFouZ]hyqDmwE:>Z:@pS`i[WvEy__?y:A^Cylqq[gxf=`pWyjI^yMAwAveJG]:J:@`s__YWxm`uth]ffuuny@WsSAphi]I@]wAvfHtY>mWp\\:JJlPM@wHimuPPxMwVEMp<Xedo@TnY\\WqLy=QNmxU:B:;LxTPYtuSLtrpuoDoMeyLdo@TpY\\PhxX?AwQTTc`;<jjHyfmKxqM^TkPmWMHvieW\\hrJDWrYUUekxEpEawY<J:>ZJr>UebYgQwsXkVL=F>UfwIVRAr=oRyAe?eV::IxI;yMmyrkXFMYqEy=ot<]GwWiVSHtyrkUhY?B:>JmFRau_Sc^wVamGM_RvQYpmyEAwaSxc?;;bjDVxuQpMSp`wtYTtmX\\EoM\\Q[\\WpMQ\\]xMXv`uY;<:;hFkxP_UrGYEmDEucHwV_SdwYRTMCkQtxIt]WvcSfy_GJGcY[YJ_fwesVGIMMyoYwqatIIYtMYDWgeWgvOxDYGLaisUXTCJ:>^@VkWFuvYyfibSoywyoLYoMTeCvcOYoMIb]xQWb`uiCMcOYgQuFbYXxmYxMHwMynEWKQf?_dfCULmthgUEUN:>ZRWbRamuixQqb:@qdnkHvhcg^vflpYlXgmh>]wqf;OoYVaj>`Ja[WXsPh_]H>>jy?e^ifnxhhauOHiEqhBqoYnxLQbB?`wxpqptefZ__vUyh_VcP`sCQpIybIp]?Qig>^Z>bpwwXi_Mv^H_`=pf>pkWVaDgxditGYseGZ:F[Q^\\N^^Xn]XN\\LN\\\\V``_sJpqwWyDilevd^_xbIt`ya^IweqghoglffDa\\hge:>ZeNfKX^UXgvqhDWntvh_@pmicT?[CnnwinKgmUobyIuNPnAIhqwhqvy=?gIqmwnvy_]?g`cOt^N]<>ZLFwfIumpfZ`d[Hn[pvyNwOP_OOsvhe[NvogyAiq=yjIVdSCJkHMovuuioKtlGu;KUACcPQhSIV]wyvAedsrlMXlMdsSX`aRuecEEW;;Fc]HfmHf=ujKH^MwyKwcaff=JPyr\\q_uoyLidSIqiapf>mlojPIb\\Yr`xvSFxxAxfHuIP[_ysUtkaXNWHImM\\ty]@O\\IL:<xfmrGXMamQdyuPywyxyXMwPioemQQYsdePBPZRw[EX]Sayxgu@W^j^uJVyFxkbg]^NmpYmPpm[nbyNcwHu[gxxfc:>blQuvHimCncdXeS<iIkABZeVyiWhEW?KU]]bGIFwyCLQHrmVgcIIOs^IwUgfIuthCgl]iwWYS?sD\\NatMYtMmQsK<Jj`RQQR=ariylwMXvaRj`mu@X?MjGhwvijePX[QxOUxwQjsQxDEn<HY_@X;uNkmPpPl_LKExvEht>It[tN[UPgdyx]wN`my`L\\dkdqUZxL]ImcuySLyk=oSymDaldll\\xrTqqwUYnXSaeqv`qbC^CtjGV=Ag>;BPcRiEtlYuvwSPqyvwTpmww;GXkEO_fBEvaar[sYkCGPMuWACLoC\\AeAIxk=EGCi`]BLATmIxviheQvyYrHExxAXT_thoUKMey_TW]IUkTEedUiiBSek[YiyxE_hlaC^wH]CsTEYXSHtYt`SFfmXIEh]=wNeyi]ikqRnwtXaYmiSdsE:;BZceJItEISMyTBQyYmxCwROOSLmg\\eTcatoWiRYuAyE]OhaUs`kGhksKqUuUvoYyl=FZAfvAic`YnDweDWtQVoDxhyuXaMoaNfmnLhmuqXEYqwUjcitBMptipHYsaUPqEMydNy=uNItFimutXDAykYv]hkdmxiyenXyE@Z:BRufjYeqgrAyXS_sYmxM_iTQhs_SWOxcMt<udKkSwKgPEHqwtYAw`Swway^GVUIrLii=Ysl[YZuBCIdwSG[UH_cuxgYQmxxqX;MWOeiFuw@MdcuIdAyUiVmwU_esTGySwx]uVaudZwsciy?]UpiB:<rtisSMpPmNGUUhdtwLOEyN]uQL`QHpkCqYFpnXpmLeo@eKSuqhemNeWTyTvxJrESipSGIKUHO_utxYnLUpdYRCQl_INw\\MCmnwAo`etumVyPWRunLMkVTRahviAt[XjrUYuUP=M>;FW;Yy]yvEy_ux[CEr;hy?iP?GXOfAQtJSw_]yq_VoOEocV;QxOKX\\at?CEuKhuMidwSEGUtaVQwyHEgOedE=WK_YdeTwcWnYggCGpwYw_bpQwOYg\\AvZAR_UB:;BREhAsCXKsUswF]d=uYxiG=mBIKSkAfScdXSSIGY^AuSCwx;W\\GUP_x<QV@mHquwI;DiIBa?wcASx?hSewV_SniIV_fw]It]xiQYiOiZ?y@gCU[vwyxYyd:ArAYDSeGYmiVmgWUi`SwPig]Or;>p<GrauLYXBaFkmGV]RtaxgQe`cVBaesShnqwMYUPmgREFgKiHOdsWdwgfjWXxKr`MXrGYeqhfyIrESdEYVESqeeqUypEDW?hn;H@aFuoWhMFGUeD_cSSfEcTa_WSKB<[RtexLCxqycwqubGT\\SVAqfIyIVcHeoUkKyOiDmwY_usP_xUogoERkeifmhCUd`KtfGUmSfxsEQ=gYweY_sVGIMMypiwEyUe=B:;BeSt]iuCKTdiblMxlUHIaHiSSuoxgivagXxMtm=x>EUq_tAQweqt\\kG]guwyswQeS_wMyuwQekeBGefigSYoGLIimMsXsIb;S^GV=Ai=ofTsHhIXRcSI_hyCwwUeTyiLWd@oSWCtFOW^AsKovByF:;JRuk;XNa@S[tVQTkBLmK\\pfdJEDqBAJ]`W>hcZArK@bkAhIwmeYg@na_apvay>othhcsXvIOm^xxPnasY`qng^xuy>^Xnw;obyQywFuqYoMNZcQdaF\\nqyGidepdky\\U>Z:>rD_cSXxg`yS^hPOuughj@qlhpqQxlVspirfygCVmCg\\nOxB@qPVqhWpWfi[QrNHuip[nHwbIogVhgn\\`_xiXncNpigm?p`dHkMv^lydU>:dJp\\WkyLYIYe]nmulHqLUmrhlRSqnGyU]mlO@pS`J;xnHQm[@rP=wwQmKEwODmtEqeMXUXQqIwAqp?@pS<YdaYDawUitO]qv`aUyk=VZ_WqXanE>:cr?ir?aUHMSs=Yr=T[;BL]uAWdQKseyWnEd<CymYUfEEo_WTmRgSgoOhBGC<ObHeUMsHUKCUgYtAcFsEXcyoci<SXRAh^iIHagSEtYWYtmR>OFUIy=MfwQGbaTDicTwhheutKuwYeEmdfCdtgXeQxQ[M^LjxYvWpO_dJ:Do[myliXLxPImUkuoREr\\YsdhVVip]ujSmvhqUGaohpoMaY^Ux\\iveMlkTr=Tn;ywTaSAtWUqxcIrjDonqQJAm[PTaTOlhPTyonxYcuQEEKtTQg]ryprehVEqlkDTJ<J:<j?TmttvuDWNAqkhtNxTEQo_mp@EWXlP=pSWhLqPvI\\WdXjuPqD`RsPyLan;APstNDLmLTVlQOGYRWLQBhSlUOxutfyVcdn=]lDhtCPjneOH=J:<JRmmitviHlLdrEPScQT_do``sTmTgTpPhmjHmBEjatsTav^ARWQq?qYgDq`LKLYyydXPXubpRF@pWyQdlo?QRG@psMQ?qxYTXwesCYlaTxQ`M:<J:QJGUmyimnLYciNeXOqplSUsH=uF]WjLQwylrhLytWmeMwHYmyr]hkKeNQaR;EXG]KNtt_XqpPrg@y?EKvdxAMkgyuWiuW]u\\`sv`viywiDJciXkQDTOoYsHYJL=p:mQclUv@mOilWUsfaUb@jsmKPaNGyNBLqnevD`QiQMhUlWlUQHWVtPhLyeESW@Oblo_qSnQlWeqnutPeLDyYUmkY`SSIkaljHdMddytixE`YxPV?QKm\\j`xXAlKYtlgUYHLs;XRyEs;Yn;PxqIqeLxVXpM`TfTw`dld\\lPPyodu?iqVXm:<ZBWgeypfyllgvDIegGyEalcV^xwqrYsEhpeF\\pV\\d^avqn^wsxwu`VavwsXHp=qnH_\\N`ljHoqX[@`j>wignoEohgGkpy_gyfCFvTf^OXi@_cYYm:fcT``kvbqVZyImOH_^nf]^nmvpiauOxywOqJo\\g`xMXqQyyPXgQosCiyUyt_qyWYwlgvrogs^qivpfhhlolCGqYXlhhwTPsuYjYwlfHelVxyQh:>ZZfsfOuxYmkyu?qtuy]@ifEqlOhZYg_jPolvns?uFV`<?bHa]pH]pf`QAgXHktwi__r>GbtGmgYpBHiu@nXgusaouQci^pygj?xuD?tawnGWm`ogCxgEwdsnivAqG`y[pyOoZFVmfvtivmLX[a^y_IvwYaKquyxiuQmshmyphTO`Ry]JHi[wv^YmYnpBxoIAfc_dqP[yycA>Z:NdWy]AycEiwuvx^@ekPnPWiHNepYqqw]RxvlQbCWwrvknvqaW`vqvWVmGVmdno_AcXhh\\@ngYuoqi;AwiHwTpmppcuylpY`^fmhF^MytuOnviyAqdsvhfwbf@nSVlxxoYXawYyPVxuG_o`ZG>Z:>rM`gTqxe`levePQwIYnVGqlpVkt\\cs=qVR=yWCsKgupUr`Ud`CsqCTJQd_ChYUtEeXgeepygj?xu_T>MHreyGyc_qyG?VsGElmFKuuMyseyxnYy:;JLUucAvEMlytU;ToytkvIyE<sYyvhTUGEYMqyXhsUuxfMY^UtCIwkQyQHPadxC]w>ERkecBw^ZNtwYutVh^WxPiidN^CpdfHufvZIpZCIu]XuXHwuy^GxwWYpqO`qYtxhd=O_N>:Cg`Qr_ATcKwdae^gYVwCxcFwOuPadtecUEs:swI]VwyygCdOWCaOSRicJEXh[UVMyHkyY?YNqYv_gDyHEgY_euqUc_aUjISmiiQUiF;dQWmT`vmAXBimEmSAdJUeSwXU:As`iQCIlGqp=@RFhVTdStDTJMV>ipVISapSvIVKMuyPbMn`MPgCypeivdyuCWqfWvDIwwQxWQqgad`>Z:Rs[W@?c]Wf=MdpIXoQx?wY<uvCEyiYiWcVxwwyars?SkUHFMWb_yj=cpkV<o_MVsC_b;SQCutGvuCyiAfAyw_asgAF_OsrWeiIytaCMwexWUN_vmAtm=ijEydgtNYi?[SJ[XYqfAmHOogJGv[IDwqYEarH]DNSHVOw>ARoUwlyb?eIX?FbIBOCd>uiYSIgsx<yg^CWYKywyuHcy?eV<<JcPwlilePlUIr[DUpiXfyx:DsSXs;mNFAU]dVWYoUxosakhyNUqPhHlCtygyWxtMpIxnEoYanoHympjFeKUxuhlmP`vKiSwtjEyTfxVOYJuUSb\\jWhMy@J=mjB`XfAMwiPW@ObFfmGnYw[S_pxxbnxtD_plnpRvmeO`^nk=flMFgVVfsGnIpdUvymPawwtiY[GfpxnhJItL@^nqrgFijwwPOlpIxZqugG[Cf[ah_:>Z:Ool?_UibPhgwHfvah]F[uGhLpr=xywPbegyYOqwnepq_Egr[PtRAu<phGYlpx_QWkFNmDWZ`pjGg][aqKN]\\FqVNxvVys_vHi^Q`obOr?a`IVmsVhRYcR?qw`vk_pgI[V_h\\@nR`h\\@^WwjmNsLyk`pgXXxFi_<Wp`GtQxcKwliRYygSstauhgUSYYfZwT=MHEeePgg^yxgUGrYSU_B_WWsQs_aSSUdN;ImKEYyXFieWmHFmg=eb<;B:_TMMfTuRsawMICLGGMmfamuAIt:gil[gYUGmyvYkXWWcoqyechXsuMKUyYtkGhXYcr_tpywMwr\\sR=eW;MeYYhSWHAmFCsicuWmyi:KEFSyqycwQiH]DnaFtSWg]sjAs>ARKibYQhqsyKUBC]CUog?gFMmcvESTyR`_EHMTsORcMGM;B:[fd_ysaE_[vTMuG?CdiiWGs[[xtiCmaUBSeC[d]SU`CC][WTOvT?ta]yryFyuVLDpYUkeMr[TU`XNaIQlHtAQldXUuqv\\AUrPdgY^IGlDQt`ivt_d`>:PovmSs]vT=SbhtYxroAtJUvVMxLlPMLOamkflVR<r]YSSeX\\umbPR<]RPhOEXymQqVISFyxnMn[dmj=KyQtKXXgyVBMMWmo^`yEdr_@XcPmIaxwulLhP^`umirRmx>>ZBgHaYs<woUwITmQqo?PMaQlAQWDYmpYNUHumPLpTnRLQnlxeUKP\\rwIuGTMXtjKAo@`K[pK]MPAmPmxV`PNLHrQYPxllfHYDHSP`uCXUaPSytmgtWkUxuAJ:NdUGn<FiFAn`gwnQ`TQjsIqFp`;Qh`As@iaUHd>i`K?lXYlcxx`ornqyuItYxvCY\\qyxCVmpqfyVbLi\\ByvbVp`v[MPn_O]Boq\\it_VjwYlA_koiiwamxoeyxd:QkhI`:>Z:FwAYhHqclGxLibexaIXkQp_BGdQ`iPWdXapYFuFIlWOrSFuF`nmvstGi?qiwowVAwIypiwivp\\a_dWNajF`J_ehounx`uI]Lxb]PqO_vZqli`nuY]iXkEGqPNle@dsGsdAeN_wmP=_sJGrv]taQytoiYYhAuXmYxtia:Nt^yqYOwOGl]xbxAptYxJYhJYhkp\\comlQxUFwbay_`]vqZ>GtgXu]ifIOnTpaW_ff_lS_lQ`_ChywvgiOwhn_ay__g`tIeXO_\\F]_gsLHe`^ij>btfqPadpvwridpAyYNlYykWplEvdh?c;wnVOd``dKGo[Id;A[Rhd?iqVX]OnZ:bncx<Es\\Od_SX@EIoMwn_DekTnIepIdqsU;UxksVhsbrsuIwwoAglgVymxVYf_utm=tmEFfmFJWUkwv_usigbFwexuvq?vYcsUwIX?GbKwBiV>aR;MItEgQ_td=yFOsMYHpQYV?Yf;x^EBcoUsIYdKF?[TdsULau^wWuMG=;Jj@WtLNr]vbIlamKUhjDtLEXXwesBTsPyryLXtIxaYSM`UxYNAmkBYSoYoTeTWxnsiVnpo?am_<wNmWtuYFdYtarxeO\\MnZ@qPquvUvGLwflQ;unV\\rg@YkLO<<J:<r@HYp<odtqYdpXIJhXnAukDUttqtoUULhJ>hSQDKvDmKpuYTRUqpkxUE@mb<O`QuUPQk<lH@Y\\lW;xNmTmwaK:>ZfwtEhpeFssY[Q`v^IsModQohgVx?XkQhsm?^fo^<psHGY=eKmg@?hncRn?DhQyrQtRAeToHGgiVISyqyNyTv]hYEWyQVP[T:;B:[CbquTmHwaymgtOWUEfuTafj`j<?qPVhN@rMGaciyk^roGgf_sS>gOwsX`tO_inxesp\\]Q`g?:;B\\sWpuW_sFHmePwiHgEqOelSWSehFQUpMr`<vP]s?MjBTmk@w_HptEkfYlbQPc\\SF\\LydwQmW?QKKE\\:>ZZOiexdeGysWv@WocvO^GSsRCufkUHGS<OvkapBQwlDOrMXRaXglUPPk:<Z:Vdqwo`O\\LNhOOZHn]l@ylPgSfpfPe`Or`Y`d`dHicvYZRWkin_gymjPn>p_IPnEanZnixIZ_^kxid@Pk:>Z:>b^x[A`hMxoP^_PXkQp_S_gSfpfwewgpRa_ehpl@kjHemPgSGuwxa=`uuxm;pmYVjuXqBxjA_uiiro`aDny_hycwxxas`wy<>Z:bBcST;YBArXcg_Ex\\grPSU@eo;tWnPPEQSRaS<`wSQpDetDHyG@VZaRIyk=Al[DXypMQQxb<yQqOyuN]xU_iPuyL:<J:<LOYuwPuBYxhhj_EylhVPtTphvEqlEEW]`WiaxxetdXwRQV@PLemToulWUyDpnupSfXLraQcIY<]PcMLwYYtDWJxkIYpG]KnqxUItadMLITMulnMq>dvhuy<mRyPOIyUL=J:<J>IWTAyqhv\\ijmMhooiPVd`hpyfoMX[aYj_OqKo`ewfqAsZG[?FuvXv:`cSXx[`oXxq@peI`fKqnuY_lqhiH`LApHg^dVZ:B:]e<wsWmdXUR`SS;sVaEWYqgwMePgV_QsOOXxaWj_swatUMCusvmOytghRGdGQUyauqGYaqCqiW\\CwnwEgquYGsfyT:<ZkItJwx=QnkPfqwyp`sTh`UowXiqUPw_?t]osTHaUo]WYq_vahn]Qp_<pn?gjGaoSW`EgxDiZ^wtxainAi^FmpYndilW`sxgZ:>Z:^aCorFH]^GrQVr^`ecPrlFyMys_>w>IsNWapp]eYd]Amt_wipnFV`EQlX?eNImNqoPWcppwlGnqX^CqphQ_^_xaPmN_Z:JClPh]VIDwPqx_Dm`YQ=mlgdU`DNQqo_@uk`XYQYFdQPuT]Am]qRoASqexcET[Up_xvEPp@yo^dqVDS`hiEws@ad>:EwMif??yiwe[crE_vKGd]oyeSwL=VlAFWyfhYUIGfAQt]mfAmxP_TROH_OcCEfvqclGWuERc]TqQBwcEIaRuycmEBAUhyCB:;JLTOAmxfPP`=weQxtUu@QP;yXS`qoqsJDoLEo\\`Tb@U;MOsxTNTYuar?AouyxiYs;@j=PXbAv[DyoAr;EWVuoD`WxqvmDOSMnjMqhxRuUSe<TepVGhvuuqMmRRau:uOAYPsqui`ksLSH>Z:>cDf[=Xp`f[KXxQpoDxu`iilYv@ialVipaakAxb`_?X[QF\\AwZAFhFYvRFybpo?`eMXg[HnKxk;Ira_rYyyqFoWgq\\`yaHhGFylyiwhnJoyvp`KwIibGqdGQeBAycWG^MtAoX\\uekIDw[ECOXyIbWGDpSxDAcqWUJEE:>^S?gr^iwhqaHqWW[GV\\yxepIskY\\;Qh`auCGav?xD`ejNrbirEI^`yfE^vEY^?fkIYqN^hLP^HIy^piOPul@flYa@?^GIgmgx`wgCh[SWqTYh@?fbN^ip`yYmXhk>GtxWduPmEhsvYgK>Z:bNif[GtegT=MG\\CBfKXXeuPoeg_vuiXO?WW[Fx[WhWGi]xYkRoCB:;J>FhbgvSwbpfwBa_;yvlXt<?cjfwiVmp_fmNyIW^dVZ:JJlP]UsLhNm`xbATUmvhDo@UK[Dr`qOc`VnYmdqVyIJ:<Z:@pSvnXhmu@sVh^HOhg^lZAjaXtxO`aGc[VnYahaP`:>:;bjGEywvVMCBwTEQs@=bbOReCvcovfCgZ]xQOC`ui;;B:;B:=uvMfXcetOsvgf?]vXiyF[hNKv_gy]muLQv@uY[]TM;Z:T`;RSOT?af;egLMHqEcucG??YGiULmrbyFhmVyEB:;J:@pS@NwTQwpOmuqpUn_@Ly=uvQy?TnY`xZPN:<Z:^jGajmAhyoeX?_OOc`w_hfbeG^PHuEhuFpyKOtfy^:>:;B<`RSLQjxlF=xoulEyTm@t\\=k^hy[MjieN]xYnInl<J:>Z>DkQGPGXOoggQwBwsNyDcEH>MxSOUQAwQcHGqy;;B:<J[UxS`KY<Q:mPhUseTQpqvahtZmx=hkUQxUdy\\iWdTJ:BJkHYgUP_GSgV>YUWiV<wWwMUGkRy;ge]xAos`ui:;Z:FFMDioTG]FUmt<QHyEW_MUHqbGyUTmsbyBhkRy=Y?Os:BBTlAAxqtuNtMYuT`TKlHTTqwxlqIYMwAvWLO=JZ^cxfle^lLx`vP]CAxkfsbgaU^`v_cMVnwY]Rhy:>:;jjFeG@ie?jVA[uocvwvOan?fgBxwvP_`WqI@iEHc;@:<J[UP?@yFpM_tmGQO\\TqvYxKQkp<RUIymHUhpRuxk`PP:<Z:^JcvN?GdaW>sc;KHvyYGcvHieF_h^MI`gORAmtqRuuXqTuW<Z:>Z<e\\oUeEtJMwOAxjKbBwFgCeHgCUStJMwQag^]hqUXdSB:<J:cHGh]sbCyU;eF^YgOkWnoVt[xOQcLkVuqcWCs_Yh:;Z>DOgSvywJCy^YcdOx]qr\\ahbMIlYv@uD]gUw[cpiECeV:B>gsNyTxibLKHmMtbCweiU?mXiyV<AfnAVIygHmRumtnKuo=iSqi:BBTt>UjTmwldVfARcYvwQnVTKDiREQUkdWypu=mUNHo]QYTdwTelDDJ:<ZJrngxdUc@MxpugpoRZaxNWg[CeceUe[fgqtAYiCGtHgG_gSmmF>KJ:<JJNeBpeWhq^He]x\\_xpqW[TwtDfxpqiSAgyPi@WapWnl>Z:B:?hcEU@wis;TVQcOidqkuh]GIkETItDqT:UuCUuEigReY]gy@CT[;B:<J<qn_Mmjyu;QvL=w_DWYYqo`jXus>USU=PgumpiqUEMgit:aWq<J:>ZBb?UEqKW>_Tg?y\\_hmKbF=xs_OgUK^hwLqoqUS]hmdYMgixxdL<>:;CUXrbxXXqlyaPgEV>L]_yk]IqcGhENngItXAgQxynfxnNucied^:ZQxptoq[fit`hlNjGxnfYaJxlPwp:NuHfwuw`KpuWOuSfwMYmDFZ:>:_X@quPmSnicHcW^sVHeCrsC_YtIoxBUe`yVbeynKhteWKCEvIRGCerIrUMtpid@[TB;B:<jjHWWaPRAqN\\XLHNYLyBIvyflKywhOnA^nlH`YhtMhpUVkDytMqbBgwdgvc@<<JJpS_]yJAVEuNvaU[QJLqo_xnf@UmylfDyp@nNaotMUluvtxRI=S[uVHqVQpQXyOEioUeL^EliynLMo>ELddJ:BJkpiDUm`VPplXhS^ass@PS\\y;hmrpLypO_TSVunq\\nJhXUhm_XuUek^hTmtSStPdiQmpy;<J:>cYawgGy^yZoIwcfvY?o^nuYncLXry_ygnuwyhJY^LHu^HwXNprgnU`ixnvWFgVwqPf\\<>:\\W>hSH`W@evT]s?MUw`uJmlyuXXmnyelAMkPDKKPV?MrcIMC]pouX;Dwu\\x?EqwUq@`suQVV@qQhOGen:<:SE\\uSO;crsDjMdsueyySxGykyVS[HtsbnCgyeR@eCTaGH[uEIebEfqKHCyFY]tMgxUMCBAgqMiBUuQMUJEG:;J:TM^Ux]TmKelgdwdtoueyAmXsyULHnYdvLtRADlDdVhDTkDKn`vUQTLiyWPyLmqFeQS=P_MjN]OUmjDEJ:BpKcKgsR[XlQeIwbGcd`yGWcdImfFEdYsHxsG=WygEddgDiOTsCxRyYjsgvMI]oe>gbQ[dssexWFoSgPgfL=B:>;Kv\\GbcesQUH^mt\\gdLYYBmHc_Ux[StaXWIFoKgVEflmykwvQuF]oYdEsiubmESyoWgcctIw:ef:BZ[OBpQWUuSXuViNehvgHTsdnfEwjUPnmthpXSqVeaVaqqvmVBaQtyThDwUioG`swaogdM?<J:>Z<qvm@wSIoGHqwgpvyy>Yy]`u\\QefqjKNaqOcwu?UecWBWGVpmt\\OeL[XdshniwtQgf;eLqbHGB:;J:DVmDQbaJ<MqglUoHR@Uy^IlFHMhHSUpvyMSUxlIMSKtlUHwhaYIamGqOexYdLOextx@NIlM`IlXimuLSQppG=wB<:;B>HO;UJQpWu`yI@M;]WG`Pvew:`tbPXAAKXxqSDrmak^=sjAsdusgIv=UQ]<VPDPHYsWmxvQmOAQYtXSTQlhkNQxbtR=YJ:BJf[T>rnW]yqy]V^ZhgmNZTyplNvywfF@jPN^intsYbdady`fOVwoOwtAmunx`ylYohNdmAXlKbmEV];Iqod?WTY]H<WhWcCG;B:<J[OeJAbpQeEPy`qh`aw_Fempgw`_XgpQOyGV[PP[i^anNbaIa]W[lVrahi@apYfxvxy:qsFvlunxPv`pv\\s^xAob]`ghNdqPeoFuvicmF_\\QlYpb?>Z:BvSHuwR@Kg[cvbexhAuu=UpMyY;HXsxBqy:WXLUiTiUc_U[acrgDyOG_ScYADqOD[EGtKycWfPGbaKXDIxMGi^;x^mUsiwJEDSIiiShNeXqmdtctd=E[ShlGT`OX\\uVAAC`;Z:NlAV^UH_WpvG@ZQwp@gZmWl;he_^_vqlSnaIvys_cxGukynFIytaoK>ZiHchamI`kJIiIA[Yxt^`fC@fk?swwdlgvvx_sVpUVeHxrUo[w_sxwcl?]ihjYapQ@pUHm^^aVAiF@uFxth_jSYcbixFQhvajmH\\hVxRF^mVpVw[MV^RQaTVypG`HHdTOipOiXovwoeXAuao`T>[:>:;RRaSI[HZIYp[g`mWKeBYWif]b=AV][FXGHpWv@=WFSH<[VBGDZswTscqgcayhF?VsArrmYIAYxArRyS@UFrmVlKBbGxRWFeGDFUhSssmSEySITsIaAdLmg_gv_ydD?E;Shj_DpmsAer=;B:<bcWkn>\\dqtZplufl;Z:Qw_?nD>Z:B:Lb:B:;jjHK:B:;DpCB:;J:<bC>Z:B:;CU?B:>ZBB:;J:><=B:>Z><;jjZ:bjGC:>Z:<<JJ:;BJZ:><J:LB>:K:<Z<=;BZZ:>>J:<>B:[:>Z><;J>Z:bjJ:<BB:@@>Z:;<JLIlyyj]qvVit:\\yTEM:<Z:Fc?oc>oo<?f<3<\"\{\}LSUrQU5OT1RBVElPTkc2Jy0lKUJPVU5EU19YRzYjLCQtJSZGbG9hdEc2IyUpaW5maW5pdHlHISIiLSUpQk9VTkRTX1lHRictJS1CT1VORFNfV0lEVEhHRictJS5CT1VORFNfSEVJR0hUR0YnLSUpQ0hJTERSRU5HNiI= Denne note er skrevet i forbindelse med SRO i 2x, 2023 p\303\245 N\303\246rum Gymnasium. Hvis I mangler gode ideer til, hvordan I kan bruge fors\303\270get, er der her et par forslag markeret med r\303\270dt. En pind med en stor og en lille klump modelervoks h\303\246nges op i det f\303\246lles tyngdepunkt og bringes til at rotere i et vandret plan. Bev\303\246gelsen filmes fra siden og analyseres i et video-analyseprogram (evt Capstone). Ud fra denne analyse har vi nu x(t) for stjernens bev\303\246gelse. Forslag til mulig analyse: Fit x(t) til en harmonisk funktion. Bestem LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEidkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlsyNTUsMCwwXUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLzYmUSJ4RidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRi82JlEidEYnRjJGNUY4RjUvRjlRJ25vcm1hbEYnRjVGTEY1Rkw= ved at differentiere x(t). Dette er den funktion som kan observeres fra Jorden. Forklar hvordan stjernens fart og periode kan bestemmes ud fra LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEidkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlsyNTUsMCwwXUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLzYmUSJ4RidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnLUkobWZlbmNlZEdGJDYlLUYjNiUtRi82JlEidEYnRjJGNUY4RjUvRjlRJ25vcm1hbEYnRjVGTEY1Rkw=. I det f\303\270lgende antager vi, at planeten bev\303\246ger sig i en cirkel (alts\303\245 at ellipsen har excentricitet nul). Vi antager, at vi kender stjernens masse (M) ud fra dens lysstyrke og spektrum. Planetens masse betegner vi m. Afstanden fra stjernens centrum til det f\303\246lles tyngdepunkt betegner vi R, og afstanden fra planetens centrum til det f\303\246lles tyngdepunkt betegner vi r. (se figuren) Ballance om det f\303\246lles tyngdepunkt giver: 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. Forslag til mulig analyse: Passer dette for modelervoks-modellen? Vi kender stjernens fart, v og perioden T. For cirkelbev\303\246gelsen m\303\245 det g\303\246lde at 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 Forslag til mulig analyse: Tjek om dette passer med jeres model - I kender v, T fra LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEidkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZm9yZWdyb3VuZEdRKlsyNTUsMCwwXUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLzYmUSJ4RidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnLUkobWZlbmNlZEdGJDYlLUYjNiYtRi82JlEidEYnRjJGNUY4RjUvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GOVEnbm9ybWFsRidGNUZPRjVGTEZPog R fra x(t). Da vi kender T og v, kan vi nu finde R. Hvis vi anvender Newtons 2. lov og Newtons Gravitationslov p\303\245 stjernens cirkelbev\303\246gelse, f\303\245r vi 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 <=> 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 <=> 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 <=> 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 Her er a accelerationen (for stjernen i cirkelbev\303\246gelsen), G er gravitationskonstanten. I den sidste ligning kender vi v, R, G og M. Vi kan derfor l\303\270se ligningen med hensyn til m. Da vi nu kender m, M og R, kan vi bestemme r ud fra 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 og dermed ogs\303\245 R+r - alts\303\245 kender vi nu b\303\245de planetens afstand til stjernen og dens masse. Forslag til mulig analyse: Find et konkret eksempel p\303\245 en exoplanet bestemt med radialhastigheds metoden. Brug v, T og M til at bestemme R, m og R+r. Stemmer dette med offentliggjorte data? Tilbage til modellervoksmodellen. I modellervoksmodellen g\303\246lder 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, hvis vi kan se bort fra pindens masse. Da det ikke er gravitationen, der holder de to klumper modellervoks sammen , kan vi imidlertid ikke bruge Newtons gravitationslov. Modellen kan derfor dels bruges til at illustrere at LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYmLUkjbWlHRiQ2JVEidkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GIzYlLUYvNiVRInhGJ0YyRjVGMkY1LyUvc3Vic2NyaXB0c2hpZnRHUSIwRicvSSttc2VtYW50aWNzR0YkUSdhdG9taWNGJy1JKG1mZW5jZWRHRiQ2JC1GIzYlLUYvNiVRInRGJ0YyRjUvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GNlEnbm9ybWFsRidGTkZLRk4= er en harmonisk svingning, og hvordan T og v bestemmes ud fra denne. Dels kan modellen bruges til at vise hvordan radius i stjernens cirkel vokser, n\303\245r der kommer mere masse til planeten. 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 og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYpLUkjbWlHRiQ2JVEiUkYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1JI21vR0YkNi1RIitGJy9GM1Enbm9ybWFsRicvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHRj0vJSlzdHJldGNoeUdGPS8lKnN5bW1ldHJpY0dGPS8lKGxhcmdlb3BHRj0vJS5tb3ZhYmxlbGltaXRzR0Y9LyUnYWNjZW50R0Y9LyUnbHNwYWNlR1EsMC4yMjIyMjIyZW1GJy8lJ3JzcGFjZUdGTC1GLDYlUSJyRidGL0YyLUY2Ni1RIj1GJ0Y5RjtGPkZARkJGREZGRkgvRktRLDAuMjc3Nzc3OGVtRicvRk5GVi1JJW1zdWJHRiQ2JkYrLUYjNiUtRiw2JVEmdG90YWxGJ0YvRjJGL0YyLyUvc3Vic2NyaXB0c2hpZnRHUSIwRicvSSttc2VtYW50aWNzR0YkUSdhdG9taWNGJy8lK2V4ZWN1dGFibGVHRj1GOQ== => 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. Hvis I har holdt den samlede masse konstant, burde stjernens radius i bev\303\246gelsen v\303\246re proportional med massen af planeten. JSFH LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUrZXhlY3V0YWJsZUdGNEYv