Observing the Universe
Reading: Chapter 2: Section 1
                 The Night Sky
  Questions:
  • What does the universe look like from
    Earth?
  • What is the daily motion of stars as seen
    from Earth?
  • What is the seasonal motion of stars as seen
    from Earth?
      What the universe looks like
              from Earth
With the naked eye,
we can see more
than 2,000 stars as
well as the Milky
Way.
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                    The Milky Way
                                          A band of light
                                          making a circle
                                          around the celestial
                                          sphere.
                                          What is it?
                                          Our view into the
                                          plane of our galaxy.
                    The Milky Way
                    A map of the sky
Just like a map of the earth is
divided into countries, a map
of the sky is divided into
constellations.
A constellation is a region of
the sky.
88 constellations fill the
entire sky.
Note: The star patterns that we often call constellations are actually
called asterisms. Ancient civilizations often had amazing stories about
asterisms. Eg: The Great Bear, Orion the Hunter….
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     The brightest stars in a constellation…
   A. All belong to the same star cluster.
   B. All lie at about the same distance from
      Earth.
   C. May actually be quite far away from each
      other.
     The brightest stars in a constellation…
   A. All belong to the same star cluster.
   B. All lie at about the same distance from
      Earth.
   C. May actually be quite far away from
      each other.
                 The Celestial Sphere
When we look at the sky, we
cannot tell how far different
stars are from us
Ancient astronomers thought
that the sky was a giant
celestial sphere on to which
all the stars were attached.
Although we now know better, the celestial sphere is still
useful for describing the location (but not distance) of
stars in the sky. (We will see later in the course how to
measure distances to stars).
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                  The Celestial Sphere
Stars at different distances all
appear to lie on the celestial
sphere.
Ecliptic is Sun’s apparent path
through the celestial sphere.
Why is it tilted from the
celestial equator ?
Note: The celestial sphere is a a useful tool for describing
the sky - it does not really exist.
                The Celestial Sphere
                                     The 88 official
                                     constellations cover the
                                     celestial sphere.
                                     From any location on
                                     Earth you can see half
                                     the celestial sphere.
                                     (Why?)
                     The Local Sky
    An object’s altitude (above horizon) and direction
    (along horizon) specifies its location in your local
    sky
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                    The Local Sky
                                 Zenith: The point directly
                                 overhead
                                 Horizon: All points 90°
                                 away from zenith
                                 Meridian: Line passing
                                 through zenith and
                                 connecting N and S points
                                 on horizon
Is the zenith the same as the north celestial pole ?
                    The Local Sky
                                  Zenith: The point
                                  directly overhead
                                  Horizon: All points
                                  90° away from zenith
                                  Meridian: Line
                                  passing through zenith
                                  and connecting N and
                                  S points on horizon
Note: Zenith is NOT the same as the north celestial pole
unless you are standing at the north pole.
                      Angular Size
 Since we cannot accurately judge how far objects in the
 sky are, we CANNOT tell their true size.
 However, we CAN talk about the angular size of an
 object.
The angular size of an object is the angle between two lines
from the edges of the object to your eye.
Try to estimate the angular size of an object for yourself…
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        Angular Measurements
          • Full circle = 360º
          • 1º = 60! (arcminutes)
          • 1! = 60" (arcseconds)
  The angular size of your finger at arm’s length is
      about 1°. How many arcseconds is this?
A. 60 arcseconds
B. 600 arcseconds
C. 60 # 60 = 3,600 arcseconds
  The angular size of your finger at arm’s length is
      about 1°. How many arcseconds is this?
A. 60 arcseconds
B. 600 arcseconds
C. 60 # 60 = 3,600 arcseconds
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                Angular Size and Physical Size
• For objects with small angular sizes, if we know the distance to
  the object we can estimate its actual physical size:
Size of the object = length of arc s
Distance to object = radius r of circle
 Length of s/circumference of whole circle
= angular size $/angle around whole circle
          s    "                    !
             =                s=        " 2# r
         2! r 360!                 360!
 Conversely, if we know the physical size s, of an object, we can
 estimate the distance r to it:
          s    "                   360!    s
             =                r=        "
         2! r 360!                  !     2#
                       Angular Size
                                             360 degrees
           angular size = physical size !
                                            2" ! distance
      An object’s angular size
      appears smaller if it is
      farther away
  Variation of the sky with position on earth
   • When we describe the sky, we must specify where
     on earth we are observing the sky from.
   • We specify our location on earth using latitude and
     longitude .
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  Variation of the sky with position on earth
 • Imagine the Earth as a transparent sphere (actually the
 because of Earth's rotation, its equator bulges out a little).
 • Through the transparent Earth we can see its equatorial
 plane. The point O is the center of the Earth.
 • The angular elevation of a point P north or south of the
 equatorial plane is its latitude.
 • All points of equal elevation lie on the same circle of
 latitude.
  Variation of the sky with position on earth
• Meridians of longitude are semicircles going through the
north pole, south pole and crossing the equator.
• The meridian passing through Greenwich, England is
historically chosen to be 0 degrees. It is called the Prime
Meridian.
• The other longitudes are designated by the angle east or
west of the equator where they cross the equator.
  Variation of the sky with position on earth
• The longitude of a point is determined by the meridian
passing through it.
• All points with longitude between 0 and 180 degrees west
of the equator lie in the Western Hemisphere
• All points with longitude between 0 and 180 degrees east
of the equator lie in the Eastern Hemisphere
 Laser marking Prime Meridian in London
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  Variation of the sky with position on earth
   • Latitude: position on Earth north or south of equator
   • Longitude: position on Earth east or west of prime
     meridian (runs through Greenwich, England)
     What is the latitude and longitude of Waterloo?
                                Waterloo: 43.5 N 80.5 W
                                Go to
                                www.fourmilab.ch/cgi-bin/Earth
                                to view this location from space
  Variation of the sky with position on earth
   • Riddle: An astronomer travels 5 degrees of latitude
     south, 5 degrees of longitude east, 5 degrees of
     latitude north and returns to her starting point, where
     she sees a bear. What colour was the bear ?
                                  Ans: The bear was white.
                                  The only place the astronomer
                                  could take the described trip
                                  and return to the same point is
                                  the North Pole, so the bear was
                                  a Polar bear !
  Variation of the sky with position on earth
• Longitude helps us determine universal and local time.
• The earth rotates through 360 degrees of longitude in 24
hours. Thus the earth rotates through 15 degrees of longitude
in 1 hour.
• As the Earth rotates around its axis, at any moment one line
of longitude--"the noon meridian"--faces the Sun, and at
that moment, it will be noon everywhere on it.
• Thus when it is noon in Greenwich it is 11:00 at all points
at longitude 15 degrees W and 13:00 at all points 15 degrees
E. (What happens at the 180 degrees W/E longitude ?)
• Astronomers us Greenwich mean time (time at the Prime
Meridian) as the universal time to record events.
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  Variation of the sky with position on earth
                       Question
   The North Star (Polaris) is 50° above your horizon,
              due north. Where are you?
  A.   You are on the equator.
  B.   You are at the North Pole.
  C.   You are at latitude 50°N.
  D.   You are at longitude 50°E.
  E.   You are at latitude 50°N and longitude
       50°E.
  Variation of the sky with position on earth
                       Question
   The North Star (Polaris) is 50° above your horizon,
              due north. Where are you?
  A.   You are on the equator.
  B.   You are at the North Pole.
  C.   You are at latitude 50°N.
  D.   You are at longitude 50°E.
  E.   You are at latitude 50°N and longitude 50°E.
  Variation of the sky with position on earth
Altitude of the celestial pole in your sky = your latitude
  Since the North star (Polaris) and the Southern Cross
  help to identifies the celestial poles, they are very
  useful for navigation
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      Daily Motion of Objects in the Sky
                           Stars rise and set every night
                           Earth rotates from west to east so
                             stars appear to circle from east to
                             west.
      Our view of daily motion of the stars
    • Stars near the north celestial pole are circumpolar and
      never set for observers in the Northern hemisphere (all
      latitudes north of the equator).
    • In the Northern hemisphere we cannot see stars near the
      south celestial pole.
      A circumpolar
      star never sets
                                            Celestial Equator
        This star                        Your Horizon
        never rises
     Variation of the sky with position on earth
      The night sky varies with latitude but not longitude.
•   The night sky depends on latitude because your
    position on Earth determines which constellations
    remain below the horizon.
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                        Question
  What is the arrow pointing to?
  A. the zenith
  B. the north celestial pole
  C. the celestial equator
                        Question
  What is the arrow pointing to?
  A. the zenith
  B. the north celestial pole
  C. the celestial equator
        Yearly motion of constellations
Constellations we see depend on time of year:
They depend on time of year because Earth’s orbit
changes the apparent location of the Sun among the stars.
Why do we see the same asterisms as ancient
astronomers thousands of years ago ?
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                       Summary
• What does the universe look like from Earth?
   – We can see over 2,000 stars and the Milky Way with
     our naked eyes,
   – A map of the sky is divided into 88 regions or
     constellations
   – The celestial sphere is a convenient tool for
     describing the sky
   – We can specify the position of an object in the local
     sky by its altitude above the horizon and its
     direction along the horizon
   – We can measure a stars angular size but not it actual
     size with our naked eye.
                       Summary
• What is the daily motion of stars as seen from
  Earth?
   – Stars rise in the east and set in the west because of the
     Earth’s rotation
   – The sky varies with latitude but not longitude
   – Local time of astronomical events varies with
     longitude
   – Universal time is taken to be Greenwich mean time
• What is the daily motion of stars as seen from
  Earth?
   – The constellations depend on time of year because
     Earth’s orbit changes the apparent location of the Sun
     among the stars.
          Mathematical Concepts
• Angular Size
• Altitude, direction
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