Notes
Slide Show
Outline
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Astr 1050 Mon. Jan. 26, 2004
  • Powers of ten on the web: http://micro.magnet.fsu.edu/primer/java/scienceopticsu/powersof10/index.html
  • Finish chapter 2 topics
    • Magnitude Scale
    • The Celestial Sphere
  • Start chapter 3: Cycles in the Sky


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Apparent Visual Magnitude Scale
  • From our Text, Horizons by Seeds
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Formula for Intensity vs. m:
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Examples:
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Examples:
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Examples:
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Examples:
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The View From A Rotating Platform
  • Imagine being in a rotating restaurant on top of a tall building. All the outside objects are very far away – much farther than the distance across the room.


  • Paint the view on the windows – and keep the people near the center of the room – away from the windows themselves.


  • Can the people tell if the room is rotating, or if the painted windows are just moving around the room?


  • Which is more reasonable – a rotating room or rotating painted windows?
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Celestial Sphere
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Nomenclature
  • HORIZON:  The horizontal circle which separates the part of the sky visible to you and the part of the sky hidden by the earth.


  • ZENITH:  The point on the sky directly overhead.


  • MERIDIAN:    The circle which starts on the northern horizon, runs through the zenith, continuing on to the southern horizon.  It separates the eastern half of the sky from the western half.


  • CELESTIAL POLES:  The points where the extension of the rotation axis of the earth would intersect the celestial sphere.


  • CELESTIAL EQUATOR:  The circle around the sky which would be a projection of the earth’s equator.
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Limiting Cases
    • At the Earth’s north pole, looking overhead all stars appear to circle around the north celestial pole.
    • At the equator:
      • Stars on the celestial equator rise in the east, move overhead, then set in the west
      • The N and S celestial poles are just on your N and S horizons, and stars near those points still circle around them.  But those stars are only visible for the upper half of their circles.


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Intermediate cases like Laramie
    • Stars close enough to the north celestial pole are always above the horizon, and just circle the pole star.  (CIRCUMPOLAR STARS)


    • Stars on the celestial equator rise in the east, move higher along a slanted path which crosses the “meridian” to the south of the zenith, then descend and set due west.


    • Stars far enough to the south never make it above the horizon.
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Star Motion from the Northern Hemisphere
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Precession of the Earth
  • The earth’s axis of rotation is tilted 23.50 relative to the plane containing the sun and other planets.


  • The gravity from the Sun and moon is trying to tip the earth just like gravity is trying to tip a spinning top.


  • As with the top, the axis of the earth wobbles or PRECESSES in space, with a 26,000 year period.


  • Because the directions to the celestial poles are defined by the spin axis – those poles move with time.
    • It isn’t that the stars move – it is that the grid we paint on the celestial sphere has to be redrawn from time-to-time.

    • Eventually Polaris will not be the “pole” star.
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Start Chapter 3: Cycles in the Sky
Motion of the Sun through the year
    • Plot position of Sun relative to stars, over one full year.
      • Complicated by fact you can’t see Sun and stars at same time.
      • Once you have full map of sky, you can work this out by seeing what stars are opposite sun 12 hours later.


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Plotting the Ecliptic on the Celestial Sphere
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Consider the Sun’s daily motion thru the year
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How the Sun’s location affects the seasons:
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Special Locations on the Earth
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Why are the planets found near the ecliptic?
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Superior vs. Inferior Planets
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Inferior Planets
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Effect of Elliptical Orbit on Climate
  • Seasons almost entirely due to TILT of Earth
    • Seasons opposite (not the same) in N & S Hemispheres
  • Earth’s orbit slightly elliptical
    • Slightly closer to the sun in N. Hemisphere Winter
      • But this changes as tilt precesses in 26,000 yr cycle
    • Expect N. Hemisphere winter to be slightly milder
      • Positions of continents and oceans actually more important
      • Effect is important for Mars -- more elliptical orbit
  • Cyclic variations in climate as tilt precesses (and tilt and ellipticity also gets slightly larger and smaller
  • VERY IMPORTANT TOPIC (Re: Global Warming)
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For Wednesday: