WPCF C$recw| tע&ӳ7\snX0"uZꉠXH.w׿u`3J֗-b#kYvu*qH#46 y nمǡ?H(@+MB # Al-…fM* 3I@q"NKm.D *q R/k~,+-ac]HǦHRxa@[wk]Ury/⾽aaCzmUO2l9ng`/U}AzRK+u(oUm~r9˵sިŃoׁ}˂@s\ *|9 6/? =L5sݲUIڙjMG^5=' YϺHdhwъ'ɯ`3漦jy8}U* ֶSmfyO[D(:{@.U:P %U@ Cfa B%* B?*G 0W#!NUN ^ Xw@d4 m 1 1uX 0cf0a2<6X9`("Courier 10cpiX* `(CG TimesScalable dTable_A&0 d d d#|wB (hũ$   XXVXXXXXXXVHP LaserJet 6P/6MP - Enhanced0(uH Z6Times New Roman RegularU* 9:;<U=>U?U@EABE)p}.bk1U(5hCEKQW]cioAutoList11.1.1.1.1.1.1.1.##37=CIQYag1.a.i.(1)(a)(i)1)a)(;$25h  0  .3  0  Table_A  ũ!   XXXXXXXXX  _    X'[XXXNAME___________________________________      _KEPLER_'SHARMONICLAWFORTHEPLANETS  b     0   1.  BringupStarryNight.Use(Go,InnerSolarSystem)toviewthepathsoftheinnerfourplanets  d fromfarabovetheSun.Changethefieldofviewto3o,andtheelevationto100AU. J(#(# 0   2.  Usingametricruler,measurethediameter(acrosswidestpart)oftheorbitofEarth.Estimate    yourmeasurementtothenearest0.1mm.Thismeasurementestablishesthescaleofthescreenforthesefourinnerplanets. (#(#   Earth'sorbitaldiameter=DE___________mm D    Scale=2/DE=______________AU/mm ` 0   3.  Nowmeasurethediameters(acrossthewidestpartsforMercuryandMars)oftheremaining  threeplanetaryorbits,estimatingtothenearest0.1mm,andrecordthemeasurementsbelow.Multiplyeachofthesemeasurementsbythescaletodeterminetheaveragedistance(a)ofeachplanetfromtheSun. (#(# ;;<<;0   4.  UsingtheTimeTool,determinehowlongittakeseachplanet(Mercury,Venus,Earth,Marsto &v completeoneorbitaroundtheSun.Useoneofthegreengridlinesasastart/finishline.Enterthesemeasurementsinyearsanddecimalparts(forexample,4.365years)inthetable;=below==;above;=;. (#(# ;>>??* ddd Xdd Xdd X(#(#,0 , , , ,0 +  1"   1 ;,!2! " ;MERCURY ;,!2!!" ;VENUS ;,!2!"" ;EARTH ?,!2!#" ?MARS SD,2!$"   qSDiameterD ;,!"%" ; ;,!"&" ; ;,!"'" ; ?,!"(" ? SD,")" q  qSa=D/2*Scale ;,!$^*" ; ;,!$^+" ; ;,!$^," ;1 ?,!$^-" ? Q@,$^." q  QPeriodpinyears =,!|% /" = =,!|% 0" = =,!|% 1" =1 ?,!|% 2" ?<20|% 3" 0    <;0   4.  UsingtheTimeTool,determinehowlongittakeseachplanet(Mercury,Venus,Earth,Marsto "d. completeoneorbitaroundtheSun.Useoneofthegreengridlinesasastart/finishline.Enterthesemeasurementsinyearsanddecimalparts(forexample,4.365years)inthetableabove. (#(# ;  x'"4 L 5h(#L    \25h  5  .3  0    Changethefieldofviewto60o,andrepeatpart9s93and4fortheouterfourplanets.Notethe b differentcalculationforthedistance,sincewechangedthefieldofview.\݌ (#(# Ќ  * dd0    0 (#(#,0 , , , ,0 +  1"  d 1 ;,! " ;JUPITER ;,! " ;SATURN ;,!  " ;URANUS ?,!  " ?NEPTUNE SD,  "   qSDiameterD ;,!* z " ; ;,!* z " ; ;,!* z" ; ?,!* z" ? SD,* z" q  qSa=D*Scale*10 ;,! " ; ;,! " ; ;,! " ; ?,! " ? Q@, " q  QPeriodpinyears =,!V " = =,!V " = =,!V " = ?,!V " ?<20V " 0    <0   6.  Usingthegraphingprogram,plottheaveragedistances(a)versustheperiods(p)foreachofthe 8  planets.Fromtheresultinggraph,state_Kepler_'sHarmonicLaw. (#(# 0   7.  Supposenowthatanewplanet(Vulcan)isdiscovered,orbitingtheSunat0.2AU.Whatisthe   lengthofitsyear(inEarthdays)? (#(# ! ,,!    LengthofV:ulcans::enus:year__________________d 2# P P ;(# ,,X X'[,,, ,@12@A21_FebruarABAyAB@Januar@y_Ԁ2001XX,,