/?V\)> RV`hp@`P(p8@@@`````0`0```00 0@P`p000000000000`0`00`0``0``0``0```00``000```000``````00`00`00````00`0``00````0`000`00`00`0`00`0`00`00`0`P@0  0@00`P`p000000000000``````````000```0`0`0````0```0``0000```00``ppp```PPP```0`00`00``000 0```'ETitle!&c>p6Lunar Phases 2.1 by Dr. Stephen Shawl University of Kansas and David Kolb Kansas City Kansas Community College ,!% ,!%,!%'<?,!%L0'O#  New Button,Vfirst`hp@`P(p8@@@`````0`0```00 0@P`p000000000000`0`00`0``0``0``0```00``000```000``````00`00`00````00`0``00````0`000`00`00`0`00`0`00`00`0`P@0  0@00`P`p000000000000``````````000```0`0`0````0```0``0000```00``ppp```PPP```0`00`00``000 0`00`` P  Title TextcY Lunar Phases This HyperStudio stack is intended to help you identify the phases of the Moon, learn the geometry between the Sun, Earth, and Moon for any phase, learn the rise and set times of the Moon, and identify the approximate time of day from the geometry. To navigate through this stack you only need to click the mouse on the buttons at the bottom of the screen. To exit this stack at any time just click on the stop sign . To return to a prior menu just click on the return arrow . Note: Beginners should select Celestial Sphere Review. $')X 0!/H  Celestial Sphere Review0"I Lunar Phases0! E+3 00! V`hp@`P(p8@@@`````0`0```00 0@P`p000000000000`0`00`0``0``0``0```00``000```000``````00`00`00````00`0``00````0`000`00`00`0`00`0`00`00`0`P@0  0@00`P`p000000000000``````````000```0`0`0````0```0``0000```00``ppp```PPP```0`00`00``000 0`00``   Title TextcL Celestial Sphere Clicking on the Celestial Sphere button will take you through the definitions of terms associated with the celestial sphere. Clicking on the Moon's Motion button will introduce you to the essential aspects of the Moon's motion relative to the Sun. A question and answer session will follow, during which you will be asked to consider the motion of the Moon relative to the Sun. 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E,3 0"G !` I Untitled c The CELESTIAL SPHERE (CS) is an imaginary sphere, centered on the Earth, on which the stars, Moon, Sun, and planets appear to be attached. The CS is represented by the large sphere surrounding the Earth. (The diagram is not to scale.)R:VMB`hp@`P(p8@@@`````0`0```00 0@P`p000000000000`0`00`0``0``0``0```00``000```000``````00`00`00````00`0``00````0`000`00`00`0`00`0`00`00`0`P@0  0@00`P`p000000000000``````````000```0`0`0````0```0``0000```00``ppp```PPP```0`00`00``000 0` 9 / /R / /L /  /Q / /L /  /Q / /L /  /Q / /L /  /Q / /L /  /Q / /L /  /Q / /L /  /Q / /L /  /Q / /L /  /Q / /L ?/  ) /Q /     /L /    ) /Q /}  6 /L   ?  !> /Q / E/L /$K/Q /  "Q /L / W /Q / i \ K ?  a OR /? М'/L 6   "j$/Q /  !nK o$OR O \  u  /L /? x%oP /  "|$OM/ W " /P *  _$O/M/ T/P '߃$ O  /M/Q /P $0   /M#   _t  /P /M  "/M  L ! /P  K$/MJ# /P  j /M/ $#/P  F "% /M E#O$/P  D !/MC$ /P   B#/MoA ה! 9 ? 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"W#OK /%Q  /R /   K  /L /     E/Q /yaG>(/L I / 6 /Q / ߾ %, /L / / /Q / /L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q  ;   0GT Click for Horizon0! E+3 0"G !` It Untitled c Because the Celestial Sphere is so large the observer, too, is at the center of the Celestial Sphere. For this reason subsequent pictures will show the celestial Sphere with the observer at the center.0Observer `< Picture Textc:`Note: The Celestial Sphere is being seen from the outside. QFVL`hp@`P(p8@@@`````0`0```00 0@P`p000000000000`0`00`0``0``0``0```00``000```000``````00`00`00````00`0``00````0`000`00`00`0`00`0`00`00`0`P@0  0@00`P`p000000000000``````````000```0`0`0````0```0``0000```00``ppp```PPP```0`00`00``000 0` 9 / /R / /L /  /Q / /L /  /Q / /L /  /Q / /L /  /Q / /L /  /Q / /L /  /Q / /L /  /Q / /L /  /Q / /L /  /Q / /L ?/  ) /Q /     /L /    ) /Q /}  6 /L   ?  !> /Q / E/L /$K/Q /  "Q /L / W /Q / i \ K ?  a OR /? 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W A X /L @ 12 9   /Q   @     3 /L A H A1 c  /Q   B$ # OK  C  s " @!%OR D   OK O \ " OR   F   /L  G %/Q ? /L / J !   /Q  K  ?/L L  oX" /Q  M /L  5d 3 J/Q dPR0{YA 4OK #Q 1*  OR $    1 . J  /L X  T "  , /Q ' . c/G/L / WT, /Q *  |/L /  x /Q / \u /L / ?r$/Q /  "/L /#j#/Q / $ f   /L /    a /Q /? \ /L /? W /Q / Q/L / K "/Q /# E "/L / y&>/Q 6 /L / ߾ " ,  /Q /  /#/L / /Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L //Q //L  @   0#GY  Click for Ecliptic0$! E+3 0%"G !`& I Untitled cr The CARDINAL POINTS are the four points on the horizon that indicate direction: north, south, east, and west.`'< Picture Textc:`Note: The Celestial Sphere is being seen from the outside.  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O/1  /R  /    !/L /0pQ'%/Q?  /$?/# /L   2$K 0/Q 0?/L  4J$ /Q  1#-//L 6/Q / 2/L  8?$  /Q / 9 "/L /:+ m  #/Q ;2(   /L /= $  ! /Q / >" g ! /L =$/#  /Q / A d ! /L   B@!   /Q  C@_ /L  E?$/Q / $_ !   /L /1G>)_ P ?/L/K oQ / M01 /L /NQ)  /Q  O  /L /Q.  /Q /  G &  K  U     OR /  W "/L /Y    oP / [ !OM/ ] /P / _   /M/  a /P /c %/M/e% /P / h   /M/  /    /P /  m   /M/ o /P /q /M/Q //P w/M/y_$ /P /  O%//M/ ?  /P / O   /M/ /O| /P /   ? "/M/O# /P / /    /M/   /  /P ///M/  a  /P / O !/M/ O? /P / / ?$K/?L$OR /& E /L /PI=/Q / /L / ! /2 %/Q / 0/',/L //Q //L / /Q //L / /Q //L / /Q //L / /Q //L / /Q //L / /Q //L / /Q //L / /Q //L / /Q //L / /Q //L / /Q //L / /Q //L / /Q //L / /Q //L / /Q //L / /Q //L  @   0<GZ Celestial Sphere Menu0=! E+3 0>"G !`? I Untitled c Z The apparent path that the Sun traces on the celestial sphere is called the ECLIPTIC.`@< Picture Textc :`Note: The Celestial Sphere is being seen from the outside.  "VCard 8 `hp@`P(p8@@@`````0`0```00 0@P`p000000000000`0`00`0``0``0``0```00``000```000``````00`00`00````00`0``00````0`000`00`00`0`00`0`00`00`0`P@0  0@00`P`p000000000000``````````000```0`0`0````0```0``0000```00``ppp```PPP```0`00`00``000 0`0a|@       `A ~  Title Textc  Moon's Motion As the Moon revolves about Earth, the Moon appears to move from west to east at a rate of about 13 degrees per day. (While the Moon's orbit is close to the ecliptic, we will neglect the difference since we are only concerned here with the Moon's motion relative to the Sun.) Another factor we will neglect is the Sun's eastward motion across the ecliptic, which is about 1 degree per day. You will be presented with several questions about the Moon's motion relative to the Sun. The diagrams used for the questions show only the portion of the celestial sphere that is visible to the observer.   %- .  /0CGZ First Question0D! 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