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HF 4#-l@@A(IF t4#-mAABbIF :4<$-oBBCIF 4$-pCCDIF 48%-rDDEJF 4%-sEEFJJF R4&-tFFGJF 4'-uGGHJF 4)-vHHIJF 45)-wIIJ2KF j4W)-xJJKlKF 04y)-yKKLKF 4*-zLLMKF 4S+-MMNLF 4u+-{NNOTLF H4--|OPOLF Tu-.OPLF T..PPPMF T/3P7T03SSTNF T113VVWNF T13WWV OF T13TTUFOF VTJ33UUQOF To33 OF T33OF T33.PF n_^ZY[]Ð`- QRhhP0$hid$ZY=tqQRhhP4$h1d$ZY=t9DžQRP$Whhh軅d$ZY=tt?VW_^QRhhPT$h脑d$ZY=tDžQRP$Whhhd$ZY=t6t?VW_^QRhhPP$hאd$ZY=tDžQRP$Whhhad$ZY=tt?VW_^Dž$ QRP$Whhhd$ZY=t$ t?VW_^QRhhPl $$ h赏d$ZY=tDž,,h ,0QRP0$Whhh?d$ZY=tjh t?VW_^QRhhPp $h h d$ZY=tUl$SQRVWF_^ZY[]Ð`=t,PET$PPlTF $`$@ $Ðd$6d=t/P4$PPTF $d$@ $Ðd$s.Ul$SQRVWT$ QRPED$Rd$ZY=G_^ZY[]Ð4Dž< `t`@< T DžX \ Dž` pd Džh DžD DžH 2DžL PTAB@ 8 LDž dtd@ Dž Dž  Dž p Dž Dž Dž @Dž PTAB zQRu +d$ZY(Ul$SQRVW}'uQRU7d$ZY__^ZY[]Ð)VUl$SQRVWQRU觮d$ZY_^ZY[]Ð @ DžH=t9HtDHPEQRPP$P$P$Hd$ ZY=t=tLHPLTXX Dž`T=t9`t?`hQRPh$Thh8d$ZY=tNT=td`&dPQYXd׋XTl DžtT=t9tt?t|QRP|$Thhld$ZY=t邋T=txt:xPQYXx׋lL>@Ul$SQRVW_^ZY[]ÐUl$SQRVWt$$|$(uP$P$d$ _^ZY[]ÐUl$SQRVWuTF F VF FlVF FTF F$sF F@YF FDJYF FHQRhU;d$ZY_^ZY[]ÐRhULVRTd$ZY_^ZY[]ÐPLTXXT^pp?lll>lpFpup}   "  c   5 } RZNE;;u %9;(;pNp}p;;.Rl ;;By)[ 5!mw!!"#$%&mW&&,'mn''C(m(()m**#++,4---`--.#.0.E.`.s...]0909091272`O2222222333PPQhQQRkRR7SSST<;V"eVVWWXY F <P7=>=>O>@A?Y>@=?q={??c@?)@5NO/GsI=DMDDMwD.FMMK%EICKHiGJMK+LEFQHC_EMLeLI KJ}KL!J[J"9IHE FFGFHGGoN.@$P@@ r@  @ Delta t@ q@ x@ y2"P@ @ F6@@&P@@ x@@ yOrbit@@ x6&P@@ x@@ y@@ y<0@&P@@ x@@ y &@P@ r@ v@ q Variables Out @ Delta t&@P@ r@ v@ q Variables In,@P@ mu@ k@ l@ n ParametersRB@p0@&P@@ x@@ y referenceL@@P @!status @code@0sourceerror in (no error)F6@P @!status @code@0source error out @ XScale.Minimum @ YScale.Maximum @ XScale.Maximum @ YScale.Minimum @ Xmin @ Ymin @ Xmax @ Ymax @!stop@0Message @0f0.@@ Starting RadiusB2P@@ Starting Radius@ 6&P@@ r@@ r>.@$P@ @@ r <(<PdttttdddddddP<((<Pddd(((<<<PPPt$@\$$$@\DD(<Pttdh<|||$P(<$P$$$$$$8$H$d$<$$HdD  (|||8$8L`$$$$L$`t8L8`Tt  0  0 P p < tt t     $ $t < < < $ $  ttP(<t| P| | P$$8$ $ | t 0  P p 0|LLL WDr2mr3m ParametersNDAPBPmuHxEqFqMDAGBGkHEqFqMDADBDlHEqFqMDAHBHnH8EqFqUDDJ\DK\  PotentialRD${|RadiusHD$,,HDR D$! EnergyUDJ}WJ~W Total Pot^D-:<-:<Equilibrium RadiusH@M@MUD<;In<<In PropagateH$̇Q@^sQA^s [D#>0#?0Starting RadiusH6BCn6CCnQDC=[jC>[jOrbitPD$E\F\TimeHD HDU D$x&g AmplitudeN  0.D+E,ECCGEffective mass mu, External potential kr^(n+1)/(n+1) Angular momentum lPDVEc[VFc[stopH$$kKxfkLxfSDMessageHЗHD(8cd MDLYLYlMDNhD'AAReq=(l**2/mu*k)**(1/(n+3)); ND(5(5muMD:G:GkMDp}p}iD!D!UD:r=2*i/N; U=k*r**(n+1)/(n+1); Uc=l**2/(2*mu*r**2); UT=U+Uc;SEef False MD_l_lnNDYHfUYIfUUcHDQdRdMDP+UQ+UrMD9MFU9NFUUNDvGUvHUUTNDmuMDlMDkMDnODDXEXReqHDHD.;=.;=`Dbcmilliseconds to waitHD8BjkREv:[v;[ True HDopHDkl UD Orbits.viHDt u NDIV#IV# HDĖZgZgHD<\i\ iMDLY LY rUD"" Orbits.viwD+RR&&+E=k*r**(n+1)/(n+1) +l**2/(2*mu*r**2);SD/ P0 PDelta tHD8O9OMDkNDmuMDnMDlMDU\V\EMD,,rHD\!.".`D//milliseconds to waitcD Bx=r*cos(q); y=r*sin(q);MD  rMD$1 $1 qHDPiQiMDxMD#0#0yWDab One Step.viYD^_ Many Steps.viQD55OrbitHDHDUDGqHq Orbits.viHDDoEoMD  fHDHD@  PD8 E"8 E"stopSD¤¥MessageUD4,AV4-AV Orbits.viUD Orbits.viHDUD Orbits.viUDޙޚ PropagateHDK+XBK,XBND;*H9;+H9muHD$\+iB\,iBMDL*Y0L+Y0kHDؘm+zBm,zBMD]*j-]+j-lHDx},C}-CMDm+z2m,z2nVD8EG8EG ParametersHDND UDyy Orbits.viHDMDrHDUD Orbits.viQDOrbitHD LYLYMD<I<Ix  ##  ɨ     Propagate STOPFPHP Orbits.vi"XFPHPD8"P"P"W~hh*I#bLXL!( X x p 2, 5Abq5Abq5Abqp 6 05Acp5Acp5Acpp 2 5Abq5Abq5Abq4 F @E84 2 Dr@P`5v DP( ( \ < < 4 F  @IP 4 2 Dr0  @vdoL : DJ0zu0z/{.|-}0  @vdoL :  DJ0zu0z/{.|-}0 `l |9p 6  05Acp5Acp5Acpp 2  5Abq5Abq5Abqp ^bP(> XL@ PC,R= |Y( P$ T4 F  CI]T0 k ! b>0 G ݅P>@ : J!fmfm]v@ O`4 0S S @ : L!pv]v]od@ : K!nenegl0 2- i4 3^zV0 2(#$0 2( j0 2-ɩ4 6-T@O@4 ` |*` 4 6 ]0   fKݳ0  ]b>4 3^"]0AO 4 $ I|X4 F < ,;=l0  < ;Rdo4  2 < ?NҴ0 [ <p : < 0:Fcp:F漼cp:F斖cpp : < FRbqFR漼bqFR斖bqL : < ?N0zu0z/{.|-}@P"2H lkH$(4hx4OM;ax|^84 OH;:Jop0@!\Hp@<  vHP?_t HM;ax꼼M;axM;axM;axM;ax4 F "=10  1=Hsdo4  2 5ADop 6 002<>cp02<>cp02<>cp0@"gp 2 <2H>bq<2H>bq<2H>bqL : 5ADG0zu0z/{.|-}|*p^TBb,= $T  4 F B<\kTT0 k! h>0 K 3r >@ :J!FZfmfm]v@`40P  @ :L!0v]v]od@ :K!1Enenegl0 2d-4 3d^D] U0 2d( h0 2L(0 2L- g4! 6dL[@"@4`wpl` 4" 6L`T0#  fݳ0#  ]b>4# 3L^w'T0$A"$X4$ $<% X $(8%hB"@<% $dL%t4% *FU(&Effective mass.8&Force proportionalitiy constant,&Angular momentum.(&Force power law.0&Initial particle radius4&O gE{l&P4& OUDd\0'@! <'  vjJyg$P) gE{l꼼gE{lgE{lgE{lgE{l4)Q  X) t ! 4) N $ U0*A! $$ 4* 2 $ U0+  $ do<+ T <+  T +|8+|+|[4V +|X\ +|8+|: 40@&P@@ x@@ y40@&P@@ x@@ yBDHP Orbits.viLVIN One Step.viPTH0LVIN Many Steps.viPTH0PBDHPDȋ8PPP+~hC(W$ȋ;Iml@|,+#BLA&@+0+#0+@ L|4+ BLb4,K LJ[R-,- 8DT-!XBN[HTUdH---- ,-#|-0-$,AXQhI`-0-- -@@-X -@@0-%pAQI-c$e,4- \Q- -4- \%'hQ 4- \"d!@-PhOf @- 4-/ \g + -D L - x -x4-K L%  .7p8|8.( htn 4./ \̪Nm .T4.0Txܥm.8. .\ .@ 8.84.'@ hNt^nZ .TL .@84.0TҚܕm.X .@,\ .@0\8 .T($L.J,m/Zؗ'R/^\/xLt\L/)K_4Ue*#@k/L,/   /(0/ 8/D/4/dQ4//,j$"#X/, \L=C (D D/ 4/K L &7.0! 0@L;h! 0+ 0 $ 840K L 8I@1 1@L X,d141,P % 1"L +T-41K Ltnv42$OX#2 2D  420D| 420D`i(v!420D pr |w2 2 2D < 2@h 2D( $420D i rm 2@L11L2J7WO:3LL33430Tҥܟm37p3 ,3 P@<,3 P03,3303X3,X03. 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