#cc3)C?T*,!A:\t"~~???~~?~Z &~~~~???~|<<<6|<<|?&~?~??~~~BD888@BB6B8<8h@BB?&~??~??~~??~|DD@B<|@~<<~B<>@B@BB@D@@f- DB8DB@x8B@D@BB@%BD 8@8x8888888xD8@@8@8x8xB8x888Dhf8B8Dxb8D8x8x88(BB@@BBDbBB@@B@@BBB@B~BJN>|@@~@B~BB@BDBB@B-"<@DD@Dx@DD@DBB%@D"D@DDDD DDDTDD@@D@DD@D DTB D B DDxF@TxDx@ BB@BBDFB@@@BB@ZB<<~BB<<~B-<@<8 @D8 8@x@Dx@BB<%@8< 8xD<<8D<<<~B<@~~B<~$B>J8 @i< @@@)WRW 1R11@2%00# # <@M(z\\\]\ux\zzz<\{%X![!@P!!RR"P K SR PEC=23613=\+256*23614>\:C,0:C+1,0 &62354,568+INK:1000 .CLS1:ZE,N4;DAY;" ";M$(N3);" ";YR;" ";T$: Pcls1:ZE,N4;A$;" ";T$: ,m31,28,31,30,31,30,31,31,30,31,30,31 CLS1:ZE,TN;ON;"SOLAR SYSTEM";ZE'''"SOLAR SYSTEM is a program which provides information on the Sun,Moon, planets and Halley's Comet" '"The program can be used to find accurate sky positions of any ofthese bodies as seen at any timeand from any point on the Earthssurface." ʸ'"In addition, the program can be made to display the relative positions of the bodies within the Solar System at any time, and to follow their motions as they orbit the Sun." jmes 3vfl=ZE:23658j\,N8:950:vk:lg:dg:tg Gcls1:TN,on;"Latitude:",l$'" Longitude:",k$''" Date",a$''" Time",t$: C18,ze;"Are these values OK? (Y/N)":ny:OKj(6)+on L0CLS1:18,13 ;"Computing orbits..." 63750:1990 HCLS1:N3,on;"The cursor is moved by pressing the 5, 6, 7 and 8 keys." v''" The number of pixels jumped by the cursor may be set to 1,4 or 10 by pressing the keys S, I or L respectively." (''" When you have positioned the cursor over the desired object, press the ENTER key to obtain the name of the object, as well as its distances from the Sun and Earth" 2jmes xCLS:N8:N8:N8:62350 }Qdsun:ON,TW;"ORBITS";N4,ZE;G$;N5,ZE;G$;N4,N4;day;N5,N5-hf*m$;m$;N6,n3;yr 11 ,ZE;H$ >63273):16,ze;c$:18,ze;v$:63343o  QU$=DDAY:JD=(HF+TD+JD0):c$="STEP 0":U$<3U$=" "+U$+" ":U$=U$(N4) 2H$=" STEPSIZE"+TT+12 +ZE+U$+" DAYS":RPL A1900l:TD=TD+DDAY:JD=JD+DDAY:NST=NST+ON:C$="STEP "+NST rJ1=((JD-1867216.25c)/36524.25@):JC=JD+J1+1525-(J1/N4):J3=((JC-122.1t333)/Q9):J4=(Q9*J3) zJ5=((JC-J4)/Q8):DAY=JC-J4-(Q8*J5):MON=J5-ON-12 *(J5>13.4Vfff):YR=J3-4715k-(MON>TW):MT:J=ONMON:M$:J 62550V:62500$ ON:63343o:ZE 463320X:1405}:LK83S1710 <SZ,ZE:TT,ZE;"Your choices now are F,I,C and P"'w$:sz,jj -IK:I$"F"I$"I"I$"P"I$"C"1755 )BT:I$="I"6400:RPL:1710  I$="P"4380:1750 &1710*(I$="C")+RESTORE*(I$="F") CLS: lBLK,ZE:SZ,ze:TT,ZE;'"Press ""S"" to stop the motions":sz,jj: horiz CLS1 TW,14;ON;"MENU";ZE TN4,TW;"1 For full information on any of the planets, or on Comet Halley" )N8,TW;"2 For times of sunrise/sunset" )TN,TW;"3 For information on the moon" H12 ,TW;"4 For a table of positions of Solar System bodies." )FT,TW;"5 To display the Solar System"  f17,TW;"6 To change any or all of the observational parameters: date/time/location" *0bmes:j=lk:j<491j>5462090* 4&V=J-480:j(V):V=N61100L  1999 tCxy=xx:ld=xy:lm=(HF+SX*(xy-ld)):LD=LD+(LM=SX):LM=LM*(LMz$=ld+"":y$=(HH+lm):z$=z$+y$(TW)+"'":xx9 )4390& +bt:j=ONnum:4600:j: ?#0;0,0;1;" MGN 1985":4610: 23366F[N6:  23370J[: \3H1=RISE:H2=(sx*(RISE-H1)):Z$=H1+"h "+h2+"m" a7H1=SEt:H2=(60<*(SEt-H1)):y$=H1+"h "+h2+"m" f $CLS1:ON,N3;"Please choose from:" '''" 1 Mercury","5 Saturn" '" 2 Venus","6 Uranus" '" 3 Mars","7 Neptune" '" 4 Jupiter","8 Pluto" ''" 9 Comet Halley" 0bmes:u=lk:u<491u>5795050 ,TOP,u-480:u>502TOP,u-47/ +N$="":names:U=U-480:J=ONU:N$:J CLS2:ZE,N4;A$;" ";T$ (Q=TOP:4110:GETMAG:5140 q3.3S333MG=7.6s333+2.17147 ]O*((RE*RD*RD)): .MG=4.97 =q+2.17147 ]O*(RE*RD*RD*RD):  3MG=2.17147 ]O*(RE*RD/N(9 ,Q))-26.7U  %"BRIGHTNESS:",dc*(HF+tn*mg);" mag" Q=ON:RISSET:4700\ 3NORISE=ON'N$;" does not rise today":4300 #1NOSEt=ON'N$;" does not set today":4300 (R4700\:'"On ";a$;" ";n$'"  rises at:",z$;" GMT"'"and sets at:",y$;" GMT" < 4300 cls1:vfl=ON5410" VFL=ON:'''"You will be asked to enter some"'"numbers (your longitude, etc.)"''"If you like, I will check each"'"entry with you before I accept"'"it permanently." "TFT,N4;"Should I verify the numbers"'" that you give me? (Y/N).":ny:vsw=ok: z"sl=-rs/n(FT,N3):cl=-rc/n(FT,N3) sd=sine*sl:cd=(ON-sd*sd)  decd=Q7*sd (cl=ZE)alpSUN=/2: .ALPSUN=(COSE*SL/CL):CLON62008 h=u Irise=-lon/FT+12 *(alpSUN-h)/+T4:set=12 *(h+alpSUN)/-lon/FT DNUM=.0657098}*DAYS+B7:RISE=(RISE-NUM)/LC1:SET=(SET-NUM)/LC1 /rise=rise-T4*(rise/T4):set=set-T4*(set/T4)  8#(horiz+ON):(ASUNZE)noset=ON: B norise=ON: RADEC NOSET=ZE:NORISE=ZE )Z>CLAT6390+5*(SLAT*Z82RX1<253XM=X1 <Y1>twY1<173YM=Y1 A0ON:62905:ZE:62957:6405 FRE=N(20,Q):RD=N(FT,Q):CLS1:HD1:8,16-HF*N$;N$''"Distance from the Sun";25;cc*(hf+hh*rd);30;"AU" KC"Distance from the earth";25;cc*(hf+hh*re);30;"AU" P8GETMAG:''"Brightness:";25;dc*(hf+tn*mg):jmes ]Uhd:tn,8;n$'''"Distance from the Sun ";cc*(hf+hh*n(FT,N3));30;"AU" cJMES dAMDY=29.5306l>7:CLS1:11 ,N3;"Computing Moon orbit..." n4SAVE:TD=TD-GMT/T4:GMT=ZE:9550N%:85015! xSRT1=RISE:ST1=SET:GMT=HF*T4:TD=TD+HF:9550N%:8510>!:RT2=RISE:ST2=SET 7RISE=RT1*FAC/(FAC+RT1-RT2):SET=FAC*ST1/(FAC+ST1-ST2)  RESTORE  8645! JMES o"January","February","March","April","May","June","July","August","September","October","November","December" ]063555C:ALP=RA:XY*LSTCAZ=CI-AZ AZ=AZ-CI*(AZ/CI): *0638008:SL=-RS/N(FT,N3):CL=-RC/N(FT,N3) 4$LC=ZELSUN=nt+180*(LSLS=LS-CI*(LS/CI) H &cls1:SUNSET:7410:7420 3ZE,TN;a$;ON,TN;" ";:A$=11 ""  CNORISE=ON10 ,TW;"The Sun does not rise today":7500L AMAX=90Z-(LAT-DECD) ANOset=ON10 ,TW;"The Sun does not set today":74753 7450:7470. 0RIST=RISE+CC*(HF+SX*(RISE-RISE))+.001wn -SETT=.001wn+SET+CC*(HF+SX*(SET-SET)) $HZ$=(RIST+HH):Y$=(SETT+HH):Z$=Z$(TWN6)+" GMT":Y$=Y$(TWN6)+" GMT" ) .MN8,ZE;"Today, the Sun: ";14;"rises at ";z$;15;"sets at ";y$' 8'''"Maximum altitude: ";(HF+amax);"" BINOSET=ZEASUN>ZE''"NB: At ";t$;" the sun is"'" above the horizon." LJmes:  Dlhr=(alp/FT):num=N4*(alp-FT*lhr):lm=(num):Lsec=(SX*(num-lm)) Uz$=lhr+"hr ":y$=(hh+lm):z$=z$+y$(TW)+"' ":y$=(hh+lsec):z$=z$+y$(tw)+"""": PHTT,ze;"Scale factor? :";on;">";ze;'"Press ""E"" for an explanation" n xdCLS1:'''"Please choose a scale factor forthe next plot: this should be a number between 1 and 10" }n''"Larger numbers give larger scaleplots, giving a less confused appearance to the centre of the display" 7is=ON:nN=ON:nx=10 :o$="Required scale?: ":gn  scl=f(NUM):V$="SCALE "+NUM: 063050J:YR2=YR:MN2=MN:HR2=HR:MON2=MON P$=M$:U3=TD:U4=DAYS:U5=DAY $U6=LSTS:U7=LSTC:U8=LST:U9=GMT: 163066Z:HR=HR2:MN=MN2:MON=MON2:YR=YR2:  M$=P$:TD=U3:DAYS=U4:DAY=U5: $LSTS=U6:LSTC=U7:LST=U8:GMT=U9: HZE:SZ,ZE:tt,ZE;F$;F$:tt,ZE;"Press ""E"" for explanation":sz,jj: ? @)23658j\,N8:64183:i$=¾lk: BH"MERCURY","VENUS","MARS","JUPITER","SATURN","URANUS","NEPTUNE","PLUTO" C"COMET HALLEY" rVK whd | tw,n4;"Lon: "+K$+" Lat: ";l$ +n5,8;"To change";26;"Press" +'" Geographical position";28;"P" )'" Date of Observation";28;"D" )'" Time of Observation";28;"T" P17,ze;" When you have finished making changes, press the ENTER key" bmes lk=13 i$="P"lg:8051s i$="T"tg:8051s 0i$="D"dg:9550N%:9600%:8051s  8140 !9#LS=Q7*SL:CL'mas=.98564733|Sb'*td-3.762863pҿU !H;lm=13.1763966R҅?*td+64.975464p:LM=LM-CI*(LM/CI) !M)mm=lm-.111404}d'*td-349.383063.5 !R'nm=151.950429OQ-td*.0529539|X0J !\%ev=1.2739#'*(tw*(lm-ls)/Q7-mm) !a-ae=.1858~>BZ*(mas/Q7):a3=1.991~*ae !f*mm=mm+ev-ae-a3:ec=6.2886I<6*(mm/Q7) !ka4=.214~["*(mm*/nt) !p6lm=lm+ev+ec-ae+a4:lm=lm+.6583(YJ*(*(lm-ls)/nt) !rPHASE=HF*(ON-((lm-ls)/Q7)) !u)AGE=(LM-LS)*MDY/CI:AGE29" -New Moon" !&age>14.5hAGE29.4k3338800`" "PQQ=PHASE:62444:BL:N6:65535,(AGEZE" (WARNING: The Sun is up)" "LN6,ZE;" Object";9 ;"Azimuth";18;"Altitude";28;"Mag."' " "line=N8:q=ontn:q=n3q "n$:q=tnn$="HALLEY" "`x=n(12 ,q):y=n(13 ,q):z=n(14,q):re=n(20,q):rd=n(FT,q):altaz:getmag "inv=ZE:mgZEinv=ON: "DINV:line,ON;n$;:U=dc*(HF+tn*AZ)+cc:Z$=U:L=Z$:Z$=Z$(L-ON) "16-L;Z$; "IU=ALT*dc*(HF+tn*ALT)+cc:Z$=U:L=Z$:Z$=Z$(L-ON):25-L;Z$; "JU=MG*dc*(HF+tn*MG)+cc:Z$=U:L=Z$:Z$=Z$(L-ON):32 -L;Z$:ZE "line=line+ON "q "FZE,113q:255,ZE:ZE,-74J:-255,ZE:ZE,74J "M''ON;"Objects in inverse video may be visible to the naked eye";ZE:ZE # 4300 #(:H$="":C$="":V$="SCALE 2":CLS:SAVE:NST=ZE:SCL=F(TW) #2*63135:62550V:63273) #<rpl #PPsz,ZE:tt,ZE;"To continue, press one of"'" S,I,O,M P or E(xplanation)":sz,JJ #QDlk,ZE:ik:(i$"S"I$"I"I$"O"I$"M"I$"P"I$"E")9041Q# #S I$="P"4380:9040P# #T I$="I"6400:9020<# #UDI$="S"7800x:63080h:TOP,N3:62553Y:9020<# #Z39057a#*(I$="E")+ORB*(I$="O")+RESTORE*(I$="M") #aXcls1:n4,ZE;"Press:"'';n5;"S to change the scale"''n5;"O for motions of all bodies" #b!'n5;"M to return to main menu" #c='n5;"P sends the display to A";7;"suitable printer" #d;'n5;"I for information on any";7;"displayed body" #eJMES:9020<# #363227:o$="Your choice?":nlist=9140# #hCLS1:N3,ON;"Please indicate how many orbits you wish to follow"''"Press"''n3;"0 For all 10 bodies" #H'n3;"1 To follow a single body"''N3;"2 To follow a pair of bodies" #_nn=ze:nx=TW:is=on:gn:nb=num:nb=zenb=TN:j=6544965458:j,on:j:9180# #nb=tw9130# #1nlist:o$="Please make your choice":9161# # 9180# #-nlist:o$="Your first choice? ":9161# #:nlist:o$="Your second choice? ":9161#:9180# #Gcls1:n3,11 ;"THE OPTIONS"''':names:j=ontw:n$:N6;j;FT;n$ #;j:N6;n3;FT;"THE EARTH":j=N4TN:n$:N6;j;FT;n$:j: #*nn=on:nx=TN:gn:(65448+num),on: #Lcls1:'''" Please give me the number of days between successive plots." #S''" This number should be a non- zero integer between -9,999 and 10,000." #ވis=on:nx=HH*HH:nn=ON-nx:o$="Timestep required? ":gn:num=zecls2:11 ,ZE;"I SAID THAT ZERO WAS NOT ALLOWED":SX:9182# #dday=num:1700 #&9205#:9600%:9550N%: #JCLS1:ON,N3;"At what time do you want to make your observations?"'' #_N3;ON;"IMPORTANT";ZE;N3;"This time must be Greenwich"'" Mean Time (GMT), which is not" #Bn3;"generally the same as local"'" time (even at Greenwich)." $4''" Your answer should be of the form hhmm,"; $ 9" where hh denotes"'" the hour (on a 24 hour clock)" $5" and mm the number of minutes past the hour." $"Po$="Time-GMT? (0000-2359):":nn=ZE:nx=23597 :is=ON:vsws=vsw:vsw=ZE:GN $'8hr=(CC+num*CC):mn=(HF+num-hr*HH):mnZE)) $r;cls1:TW,N3;"What is your longitude (in"'" degrees?"'' $wa" The answer you give should lie between -180 and 180 where negative numbers are" $|>" for places lying west of"'" the Greenwich meridian." $Q''" For example, the longitude"'" of Central London is -0.1"'" degrees." $#LST1=-LON/15+12 *LST/ $Jnn=-TW*NT:nx=-NN:o$="Longitude? (-180,180) ":gn:lon=num:9564\% $7xx=lon:dst:k$=Z$:lonZEk$=k$+d$(N4-TW*(lon>ZE)) $b=lat/Q7:clat=b:slat=b: $a$=day+" "+m$(N3)+" "+yr $ $Bt$=(HH+mn):t$="."+t$(TW)+" GMT":t$=(HH+hr)+t$:t$=t$(TW): $Vcls1:TW,TW;"Give the date on which the"'" observation will be (or was) made." $J''" First, the year: anytime"'" between 1800 and 2200."''" e.g. 1950" $Lnn=1800:nx=2200:is=ON:o$="Year? (1800,2200): ":gn:yr=num ${cls1:TW,TW;"Now the month; please give me"'" a whole number between 1 and"'" 12."'''" For example, 10 for October." $knn=ON:nx=12 :is=-ON:o$="Month? (1,12): ":gn:CLS1:mon=num:df:mx=D(mon):mt:l=ONmon:m$:l $0TW,TW;"Which day of the month?"'''" e.g. 11" $]nx=mx:is=ON:o$="Day of month? (1-"+mx+"): ":gn:CLS1:day=num:dsg:mon=ONdays=day: $<days=ZE:i=ON(mon-ON):days=days+d(i):i:days=days+day: $$D(TW)=28:(yr>N4*(yr/N4)) $$(yr>HH*(yr/HH))D(TW)=29: $!(yr2000yr2400` ) $D(TW)=29: %N.b1=yr-1900l:b2=28-D(TW)+(b1/N4) %SMb4=(365m*b1+b2-HF)/(HH*Q9):b5=TC0+TC1*b4+TC2*b4*b4:b7=b5-T4*(B5/T4) %X$lst1=(lc1-ON)*(T4*days+gmt)+gmt+b7 %\LST=LST1+LON/15 %]Nlst=lst-24*(lst/24):LST=LST*/12 :lsts=LST:lstc=LST: %b#18,ON;o$;ON;">";ZE;" ";: %d;63955,(IS=ZE):63992:numnxoor:gn %gvswac:OKgn %l %gmt=hr+mn/SX %MTD=(YR-1980)*365m+((YR-1977)/N4):TD=TD+DAYS+gmt/24 % %)z$=num:len1=z$:pos=16-HF*len1 %bcls1:is-ONTW,TW;"The number you chose was"''pos;z$''" Is this what you want? (Y/N)":ny: %mt:l=ONnum:m$:l:len1=m$:pos=16-HF*m$:4,pos;m$''" Is that the month you want?";14;"(y/n)":ny: %/LK,ZE:ZE:J=LK:(J78NJ89Y)ny %OK=(j/89Y): &:cls3:TW,TW;"That does not lie in the"'" proper range" & +pos=16-HF*(5+((nn))+(nx)) &%A'''" Please select a number between ";pos;nn;" and ";nx:SX: &4;WH:23624H\,568:WH:WH:INK:ZE:ZE:ZE:ZE:: &55ON:23624H\,8:ON:WH:ZE:ZE:ZE:ZE:: &66N4:23624H\,32 :N4:BL:ZE:ZE:ZE:ZE:: &7:TW:23624H\,16:TW:TW:WH:ZE:ZE:ZE:ZE:: &F f2=f2+tw &HDF1=F1+HH:(f2+on),f1-256*(f1/256):f2,(f1/256) &\ &EQQ=50001Q:15363<::"CODE"QQ,TOP-QQ:"PROG"9895    & &,23675{\,0:23676|\,240 & 1 &#15363<::"QQQ"65535    & sz,ze:TT,ZE;'w$:sz,jj:IK: &sz,ze:TT,ZE;F$'F$:sz,jj: & &1SZ,ZE:TT,ZE;F$;F$;TT,ZE;'J$:SZ,JJ:N3:ZE: &;XMD-ON,YMD:XMD,YMD:XMD+ON,YMD:XMD,YMD-ON:XMD,YMD+ON: Q }Gw{e{ qzفw>%vntV%0sZE>s7]tmRT~Ry^@{/}?Ak|F |c|=ePz}F?w ,0΂zN}E܁"Q#wd0pf=#kItͤǁe3@䦰{\ڪuƁ|_yiu܇נ&fVvS҂Ił%+c_ǟXV6*/\Qa_}WU% 3dSuM *؁(x߁ X\wTUÓ(R%z,x4tnYMqHoVMtQXt6ss"ޯsb0wo7E~7GAAT w1+mS1幃Ⲽp=]zi~=_N&50gS]xD5!6n}8_~{p 1ଗtd΀*2}y6|r|7[{:sn|1z]{}B3WX0r/ r?T7s$s$s%%? eameBadeXlta$enme&&me&DNESWW Please press the appropriate keyJPress any key to continue!d"(#rasuporiunsek\hG a@zHart Zo}̱6t;xpxsu&<Q Mirror Group Newspapers 1984dz# =meisseetmaf'aN}L̸}L̬stGVwstkstc?Ibfjo $ a8ayJ $swm,TWp|KRKfq  o&oec䅧:Mlpsuu suwi@vrnron _Jkc?ItQ,slis#daNf-biRR "BD/~kWd x}el nhse oseorisanq.is7e.6: ۿa3l Ip{ y.{zʥ6pͰ~vhasyIFgfV %e6mooEϳ{);s |<{:NtjtjXt{ODtptisƧety"innhMmay2Go0nL5130'NY106Z006'K006'WA 25 Nov 1984T 21.30 GMTPNovemberVSCALE 7ION COMET HALLEYOTimestep required? 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