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Hard to see faint planet right next to very bright star
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Two indirect techniques available
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(Like a binary star system but where 2nd “star” has extremely low
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mass)
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Watch for Doppler “wobble” in position/spectrum of star
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Watch for “transit” of planet which slightly dims light from star
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About 110 planets discovered since 1996 See http://exoplanets.org/
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Tend to be big (Jupiter) and very close to
star (easier to see)
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