Astr 1050    Fri., Dec. 13, 2002
 
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  		Today: Astronomy Articles | 
 
 
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  			Homework #11 | 
 
 
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                          Finish Ch. 18,
  Chapter 19, Pluto and “Debris” | 
 
 
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Homework #11
 
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  Q1:  If you were an astronomer in
  the Alpha Centauri system (assume 4.2 light years from Earth) looking toward
  the solar system, what would be the maximum angular separation between
  Jupiter and the sun you could ever see? (Hint: 1 ly equals 63,000 AU). | 
 
 
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  Small Angle formula, Jupter 5.2 AU from
  sun, yields 4 arcseconds | 
 
 
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  Q2:  If the Atlantic Seafloor is
  spreading at 30 mm/year and is now 6400 km wide, how long ago were the
  continents in contact? | 
 
 
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  6400 km/30 mm/year = 210 million years. | 
 
 
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  Q3:  Which effect is the most
  important for clearing the remaining gas and dust in the solar nebula
  following planet formation? | 
 
 
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  Radiation pressure. | 
 
 
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  Q4:  Europa has few craters
  because | 
 
 
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  It has erased craters nearly as fast as
  they form. | 
 
 
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  Q5:  A meteor shower is produced
  when | 
 
 
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  Earth passes through the orbital path
  of a comet. | 
 
 
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  Q6:  An asteroid has an orbital
  period around the sun of 5.2 years. How far from the sun is this asteroid? | 
 
 
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  Kepler’s Law.  P2 = a3.  P = 5.2 years, so a in AU is the cube root
  of 5.2 squared, which is 27, making a = 3 AU. | 
 
Comparison of Jovian
Planets
 
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  Variation in distance presumably
  ultimate causes other effects | 
 
 
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  P:     
  Kepler’s third law | 
 
 
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  T:     
  Falloff mostly just result of falling solar energy | 
 
 
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  But Neptune hotter because more
  internal heat | 
 
 
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  M:    
  Clue to details of solar nebula mode | 
 
 
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  Less material in outer solar system –
  or perhaps less efficient capture | 
 
 
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  r:      Should drop with mass
  because less compression | 
 
 
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  Works for Saturn vs. Jupiter | 
 
 
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  Increase for Uranus, Neptune indicates
  less H, He and more heavy material | 
 
Effects of T (and E) on
Atmospheres
 
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  Saturn’s bands much less distinct than
  Jupiter’s | 
 
 
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  Temp. lower on Saturn Þ cloud condense lower | 
 
 
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  Deeper clouds Þ markings less visible | 
 
 
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  Differences at Uranus and Neptune | 
 
 
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  Even colder Þ clouds even deeper | 
 
 
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  So cold CH4 can condense | 
 
 
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  Little solar energy to drive weather | 
 
 
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  Uranus has strange seasons – tipped on
  its side | 
 
 
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  Neptune has strong internal heat
  source, 
    so it still can have weather | 
 
 
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  Large amounts of heavy elements
  compared to amount of H, He on Jupiter, Saturn | 
 
 
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  Large amounts of CH4 gas
  absorb red, 
     make planets appear blue | 
 
Implications of M, r for nebula
 
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  Relative amount of H, He (compared to
  heavy elements) drop for Saturn 
    then drop dramatically at Uranus and Neptune | 
 
 
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  Why were these outer planets so less
  efficient at capturing H, He? | 
 
 
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  Their mass is still great enough to do
  this, especially given low temperatures 
     in the outer solar system | 
 
 
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  May be a problem of timing | 
 
 
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  Accretion takes longer in the outer
  solar system because | 
 
 
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  The velocities of all objects there are
  much less | 
 
 
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  The distances between objects are
  greater | 
 
 
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  This is the same reason the periods of
  the orbits are so long | 
 
 
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  Uranus and Neptune may have only
  started to grow to critical size by the time the H, He gas was being driven
  out of the solar system | 
 
The Jovian planets are
miniature solar systems
 
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  Because planets captured gas as they
  were forming 
    they had small “solar” nebulae Þ tests of nebula theory | 
 
 
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  Regular satellite systems | 
 
 
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  Large moons in direct (i.e.
  counterclockwise), equatorial orbits | 
 
 
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  Preserve solid material from time of
  formation | 
 
 
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  Jupiter shows solar-system like density
  gradients | 
 
 
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  Rings | 
 
 
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  Moons unusual and interesting objects
  in their own right | 
 
 
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  Io – most volcanically active body in
  solar system | 
 
 
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  Europa – also active, may have liquid
  water ocean (and life!) | 
 
 
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  Titan – only satellite with a thick
  atmosphere | 
 
 
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  Many properties are due to tidal forces
  and resonances | 
 
The Roche Limit
When can tides tear a moon apart?
 
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  As a planetary body get close to
  another object, tidal forces distort the body more and more. | 
 
 
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  Remember, Earth raises tides on the
  Moon  
    just like it raises tides on the Earth | 
 
 
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  If the distortion gets large enough,
  the moon will be pulled apart | 
 
 
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  Happens at “Roche Limit” when moon is
   
    ~2.44 ´ radius of planet away | 
 
 
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  At that point, tidal force pulling up
  on surface of moon is greater than moon’s gravity pulling down | 
 
 
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  Only matters for objects held together
  by gravity | 
 
 
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  Astronaut in orbit will not be pulled
  apart | 
 
 
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  Is held together by much stronger
  chemical forces | 
 
 
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  Astronaut standing on the outside of
  the shuttle, hoping the shuttle’s gravity would hold her there, will be
  pulled away from the shuttle | 
 
Saturn as seen by the
Hubble Space Telescope
Rings are individual
particles all orbiting separately
 
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  Each particle – dust to golf ball to
  boulder size –  
    is really a separate moon on its own orbit | 
 
 
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  Orbit with Keplerian velocities:  high in close, slow farther out | 
 
 
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  Nearby relative velocities are low – so
  particles just gently bump into each other – slowly grinding themselves up | 
 
 
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  Structure in rings largely caused by
  gravity of moons | 
 
Resonances:  Properly timed gravitational “pushes”
 
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  Like someone pushing kid on a swing | 
 
 
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  Timing of pushes just as important as
  force used | 
 
 
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  Pushing at random times has little
  effect | 
 
 
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  Pushing at just right point in each
  cycle can produce big effect | 
 
Cassini division at 1:2
resonance with Mimas
Comparison of Rings
 
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  All within Roche limit | 
 
 
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  Details controlled by Resonances and
  Shepard Satellites | 
 
Jupiter as a miniature
solar system
 
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  Four large moons (Io, Europa, Ganymede,
  Callisto) | 
 
 
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  Regular (equatorial, circular) orbits | 
 
 
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  Pattern of changing density and
  composition with distance | 
 
 
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  Inner two (Io, Europa) mostly rocky | 
 
 
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  Outer two (Ganymede, Callisto) more icy | 
 
Io, Europa break rules
about activity
 
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  Io most volcanically active body in
  solar system | 
 
 
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  Europa shows new icy surface with few
  craters | 
 
Tidal heating explains
activity
 
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  Large tides from Jupiter flex
  satellites | 
 
 
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  Friction from flexing heats interiors | 
 
 
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  Important for Io, Europa, some other
  outer solar system satellites | 
 
Probable H2O
ocean on Europa
 
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  Tidal heating may keep H2O
  liquid under ice cover | 
 
 
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  Perhaps a location where life could
  evolve | 
 
 
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  “Europa Orbiter” Mission being planned
  to determine if ocean exists | 
 
Callisto not active
Comparison of Satellites
Titan
 
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  Largest moon of Saturn | 
 
 
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  Has thick atmosphere | 
 
 
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  Pressure ~ 1 earth atmosphere | 
 
 
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  Mostly N2, some CH4 | 
 
 
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  Gas held because of low T | 
 
 
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  UV acting on CH4 Þ smog | 
 
 
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  Ethane produced – Lakes? | 
 
 
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  Can “see” surface only in IR | 
 
 
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  Cassini will drop probe in Fall 2004 | 
 
 
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  “Code of the Lifemaker” by James P.
  Hogan, good sf | 
 
Triton
 
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  Largest moon of Neptune | 
 
 
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  In unusual retrograde orbit | 
 
 
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  Probably captured after it formed | 
 
 
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  Tides during capture may have caused
  heating | 
 
 
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  Does have thin atmosphere | 
 
 
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  Shows recent “activity” | 
 
 
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  Not volcanic – rather volatile related | 
 
 
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  Ices migrate with seasons | 
 
 
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  “Geysers” caused by heated ices | 
 
Chapter 19:  Meteorites, Asteroids, Comets
 
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  Small bodies are not geologically
  active | 
 
 
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  They provide “fossil” record of early
  solar system | 
 
 
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  Asteroids | 
 
 
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  Mostly from region between Mars and
  Jupiter | 
 
 
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  Left over small debris from accretion,
  never assembled into a large planet | 
 
 
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  Meteorites come mostly from asteroids | 
 
 
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  Comets | 
 
 
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  “Stored” on large elliptical orbits
  beyond planets | 
 
 
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  Thought to be “planetesimals” from
  Jovian planet region, almost ejected from solar system in its early history | 
 
 
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  Meteorites provide only samples besides
  Apollo | 
 
 
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  With sample in hand, can perform very
  detailed analysis:  detailed chemistry;
  radioisotope age; other isotope info | 
 
 
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Asteroids
 
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  Most located between Mars and Jupiter | 
 
 
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  Largest is Ceres | 
 
 
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  1/3 diameter of moon | 
 
 
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  Most much smaller | 
 
 
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  >8,000 known | 
 
 
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  Total mass << Earth | 
 
 
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  A few make it to earth | 
 
 
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  source of the meteorites | 
 
Meteorites from Asteroids
 
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  If meteorite speed and direction is
  observed as it enters Earth’s atmosphere, you can work backwards to find its
  orbit. | 
 
 
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  Almost all of the meteorites with well
  determined orbits have most distant part of orbit ellipse within the asteroid
  belt. | 
 
The larger asteroids
Asteroid Belt Structure
 
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  As Jupiter formed it stirred up
  velocities in what would become the asteroid belt | 
 
 
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  Higher velocities meant planetesimals
  destroying each other rather than accreting | 
 
 
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  Gaps and concentrations occur at
  resonances with Jupiter | 
 
 
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Are Asteroids Primitive?
 
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  Ida (56 km diam.) and its moon Dactyl
  (1.5 km diam.) | 
 
 
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  Colors have been “stretched” to show
  subtle differences | 
 
 
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  Imaged by Galileo on its way out to
  Jupiter | 
 
Another Galileo
Asteroid:  Gaspra
Phobos & Deimos:  Two “misplaced” asteroids?
 
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  Phobos and Diemos are small (~25 km and
  ~15 km diam.) moons of Mars | 
 
 
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  Look like captured asteroids rather
  than moons formed in place | 
 
 
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  Are “C” class – i.e. dark
  “Carbonaceous” type “asteroids” | 
 
Clues from Meteorites
 
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  Three main kinds of meteorites | 
 
 
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  Carbonaceous chondrites:	Most primitive
  material – 						dark because of C | 
 
 
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  Stones			Similar to igneous rocks | 
 
 
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  Irons			Metallic iron – with
  peculiarities | 
 
 
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  Why do we have different kinds? | 
 
 
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  How are the main types of meteorites
  related to the asteroids? | 
 
Types of asteroids
observed
 
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  Simple classification by albedo and
  color | 
 
 
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  Three main types | 
 
 
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  C 
  (carbonaceous?) | 
 
 
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  S	 
  (stones?) | 
 
 
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  M (metals?) | 
 
 
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  Finer classification by spectra | 
 
Origin of different
asteroid types
 
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  Carbonaceous = undifferentiated? | 
 
 
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  Stones and Metals from differentiated
  planetesimals? | 
 
 
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  S = mantles | 
 
 
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  M = cores | 
 
 
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  Try to sort out using meteorite samples | 
 
Meteors vs. Meteorites
 
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  Meteor is seen as streak in sky | 
 
 
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  Meteorite is a rock on the ground | 
 
 
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  Meteoroid is a rock in space | 
 
 
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  Meteor showers (related to comet
  orbits) rarely produce meteorites | 
 
 
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  Apparently most comet debris is small
  and doesn’t survive reentry | 
 
 
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  Meteorites can be “finds” or “falls” | 
 
 
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  For a fall – descent actually observed
  and sometimes orbit computed | 
 
 
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  Most have orbits with aphelion in
  asteroid belt | 
 
Large Meteor over the
Tetons (1972)
The Leonids  2001
 
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  APOD site:  Picture by Chen Huang-Ming | 
 
Meteor Showers and Comets
 
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  Meteor showers caused by large amount
  of small debris spread out along comet orbits | 
 
 
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  Almost none makes it to the ground – no
  meteorites | 
 
 
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  Occur each year as earth passes through
  orbit of comet | 
 
 
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  Appears to come from “radiant point” in
  sky | 
 
 
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  Leonids:  Mid November | 
 
Comets:         Hale-Bopp in April 1997
Comet characteristics
 
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  Most on long elliptical orbits | 
 
 
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  Short period comets – go to outer solar
  system | 
 
 
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  “Jupiter family” still ~ in plane of
  ecliptic | 
 
 
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  “Halley family” are highly inclined to
  ecliptic | 
 
 
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  Longer period ones go out thousands of
  AU | 
 
 
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  Most of these are highly inclined to
  ecliptic | 
 
 
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  Become active only in inner solar
  system | 
 
 
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  Made of volatile ices and dust | 
 
 
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  Sun heats and vaporizes ice, releasing
  dust | 
 
 
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  “Dirty snowball” model | 
 
Comet structure
 
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  Gas sublimates from nucleus | 
 
 
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  Dense coma surrounds nucleus | 
 
 
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  Ion tail is ionized gas points directly
  away from sun | 
 
 
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  shows emission spectrum | 
 
 
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  ions swept up in solar wind | 
 
 
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  Dust tail curves slightly outward from
  orbit | 
 
 
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  shows reflected sunlight | 
 
 
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  solar radiation pressure gently pushes
  dust out of orbit | 
 
Hale-Bopp clearly shows
components
	Where do comets come
from?
Long period comets:  The Oort Cloud
 
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  Most (original) orbits have aphelions
  of  >1000 AU | 
 
 
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  Need ~6 trillion comets out there to
  produce number seen in here | 
 
 
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  Total mass of 38 MEarth | 
 
 
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  Passing stars deflect comets in from
  the cloud | 
 
Formation of Oort cloud
comets
 
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  Composition indicates formation in
  region between Jupiter and Neptune | 
 
 
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  Ejected to the Oort cloud by near
  collisions as Jovian planets formed | 
 
 
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  Most probably lost from solar system –
  a few have just barely closed orbits | 
 
 
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  Occasional passing stars perturb more
  comets into orbits passing in close to sun | 
 
Where do the Jupiter
family comets come from?:
  The recently discovered Kuiper Belt
 
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  Material beyond Neptune never ejected
  into the Oort cloud | 
 
 
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  Pluto and Charon the biggest members –
  now also Quarar | 
 
 
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  Very hard to detect because very faint | 
 
 
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  far from the sun so little illumination | 
 
 
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  comets not active at that distance | 
 
 
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  Hubble and new large telescopes have
  recently detected ~100 | 
 
Importance of comets
 
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  Evidence of solar nebula | 
 
 
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  Source of H2O and CO2
  for earth | 
 
 
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  Impacts continue | 
 
 
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  Impacts on Earth | 
 
 
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  Extinction of the dinosaurs | 
 
 
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  SL-9 impact on Jupiter | 
 
 
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Chapter 16-19 Review
 
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  Solar Nebula | 
 
 
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  Terrestrial Planets | 
 
 
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  Properties of Earth | 
 
 
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  Greenhouse Effect (cf. Venus, Mars) | 
 
 
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  Cratering, origin of moon | 
 
 
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  Jovian Planets | 
 
 
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  Properties of Jupiter, composition,
  atmosphere | 
 
 
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  Rings | 
 
 
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  “Debris” | 
 
 
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  Asteroids and Comets | 
 
Chapter 16-19 Review
 
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  We’ve covered this material fast – exam
  will not cover subtle concepts or obscure facts.  Very basic information and only the most
  fundamental ideas. | 
 
 
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  Things you should know include: | 
 
 
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  Order of planets in solar system,
  general sizes of orbits, sizes and compositions of the planets (also
  asteroids and comets in general, notable moons). | 
 
 
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  How these items fit into the solar
  nebula picture. | 
 
Chapter 16-19 Review
 
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  Example questions: | 
 
 
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  True/False: | 
 
 
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  Jupiter was probably influential in
  preventing the formation of a planet at the location of the asteroid belt. | 
 
 
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  The dirty snowball theory suggests that
  the head of a comet is composed of ices. | 
 
 
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  Jupiter radiates more heat than it
  absorbs from the sun. | 
 
 
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  Venus is very hot because its
  atmosphere is rich in CO2. | 
 
 
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  The Greenhouse effect occurs because
  gases like carbon monoxide are opaque to IR radiation. | 
 
 
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  The Jovian planets have lower densities
  than the terrestrial planets. | 
 
 
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Chapter 16-19 Review
 
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  Example questions: | 
 
 
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  True/False: | 
 
 
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  Meteorites appear to be composed of
  material similar to that found in comets. | 
 
 
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  Jupiter’s interior is mostly liquid
  helium. | 
 
 
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  Saturn’s rings are composed of metallic
  dust grains. | 
 
 
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  Flow channels on Venus suggest it was
  once rich in water. | 
 
 
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  The oxygen in Earth’s atmosphere was
  outgassed by volcanic explosions. | 
 
 
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  Mars is the third rock from the sun. | 
 
 
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Chapter 16-19 Review
 
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  Example questions: | 
 
 
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  Multiple choice: | 
 
 
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  On a photograph of the moon, the moon
  measures 30 cm in diameter and a small crater measures 0.2 cm.  The moon’s physical diameter is 1738
  km.  What is the physical diameter of the
  small crater? | 
 
 
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  About 1738 km | 
 
 
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  About 12 km | 
 
 
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  About 520 km | 
 
 
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  About 350 km | 
 
 
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  About 3.5 km | 
 
Chapter 16-19 Review
 
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  Example questions: | 
 
 
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  Multiple choice: | 
 
 
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  Though Titan is small, it is able to
  retain an atmosphere because? | 
 
 
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  It is very cold. | 
 
 
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  It is very dense. | 
 
 
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  It rotates very slowly. | 
 
 
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  It attracts gas from the solar wind. | 
 
 
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  It has a very strong magnetic field. | 
 
Final Exam
 
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  30 Multiple Choice questions, 15
  true/false, 3 essay/written questions, plus 1 follow-up extra credit problem
  (computational and meant to be challenging). | 
 
 
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  About 1/3 of the questions the same as
  or slightly modified from previous exams | 
 
 
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  About 1/3 of the questions covering the
  solar system | 
 
 
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  About 1/3 of the questions completely
  new but covering old material | 
 
 
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  Questions mostly cover the basics and
  are not intended to be subtle or tricky. | 
 
Final Exam
 
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  List of possible topics for essay
  questions: | 
 
 
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  Dark Matter | 
 
 
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  Cosmic Microwave Background Radiation | 
 
 
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  The Evolution of the Sun on the H-R
  diagram | 
 
 
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  The Solar Nebula | 
 
 
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  Extrasolar Planets | 
 
 
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  Comparative Planetology of Venus,
  Earth, and Mars | 
 
 
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  The Seasons | 
 
 
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  Phases of the Moon | 
 
 
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  The Distances to Astronomical Objects
  (Distance Ladder) | 
 
 
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