Andromeda galaxy - University of Delawareowocki/phys333/Lec-11Apr13.pdf · the Andromeda galaxy....
Transcript of Andromeda galaxy - University of Delawareowocki/phys333/Lec-11Apr13.pdf · the Andromeda galaxy....
Andromeda galaxy
• Obviously not!• have the same apparent brightness, but
very different luminosities
• If you knew the luminosity of…• a standard lighthouse beacon• or a standard candle
• you could measure the distance toeach given their apparent brightness
Standard Candles
• Astronomers call any astronomical object whose luminosity can bedetermined without knowledge of its distance a standard candle.
• Calculate distance to any standard candle by…• measuring its apparent brightness and using the luminosity/distance formula
Are these lights at the same distance?
Brightness ~ Luminosity/ Distance2
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B =L
4!D2
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D =L
4!B
standard candle
observe & measure
What Makes a Good Standard Candle?• We know luminosity of Sun, as well as stars on main sequence.• know this by using the parallax method for nearby stars• can measure distance to stars of same type that are far away
What Makes a Good Standard Candle?• For a cluster of stars, we can compare
the entire main sequence.• we know distance to Hyades from parallax• by measuring how much fainter Pleiades’
MS is, we can calculate its distance
• This is called main-sequence fitting.
• But main sequence stars are too faint to observe in other galaxies!• So we need a more luminous standard candle to measure distances
to galaxies: Cepheid variable stars
Cepheid Variables
• Cepheid variables make good standard candles because:• they follow a well-defined period-luminosity relationship• they are bright giants…luminous enough to see at great distances
Edwin Hubble(1889-1953)
• Discovered Cepheid variables inthe Andromeda galaxy.
• Calculated distance to Andromeda• 2 million light years• not in the Milky Way
• Developed classification schemefor galaxies.
• Has space telescope named afterhim!
Milton Humason(1891-1972)
• Former mule-team driver whodropped out of 8th grade.
• Took spectra and measuredredshifts of many galaxies.
• Worked with Hubble, whomeasured the distances tothose same galaxies.
• They plotted distance vs.velocity and formulated :
Hubble’s Law: V = Hod
Hubble’s Law• Hubble supplied the distance to a galaxy.
• using Cepheid or “brightest star” standard candles• Humason measured the shift to longer wavelengths
of absorption lines in the galaxy’s spectrum.• used Doppler formula to calculate velocity
• Plot resulted in a straight line.• the farther away a galaxy was, the
faster it was moving away from us• velocity increased linearly with
distance• V = Ho d
• Ho, the slope of the line, is calledHubble’s constant [km/s per Mpc]
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What is Hubble’s law?
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The spectral features of virtually all galaxies are redshifted, which means that they’re all moving away from us.
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By measuring distances to galaxies, Hubble found that redshift and distance are related in a special way.
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Hubble’s law: Velocity = H0 × distance
© 2010 Pearson Education, Inc.
Redshift of a galaxy tells us its distance through Hubble’s law:
Distance = velocity H0
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Distances of the farthest galaxies are measured from their redshifts.
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How do distance measurements tell us the age of the universe?
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Thought Question
Your friend leaves your house. She later calls you on her cell phone, saying that she’s been driving at 60 miles an hour directly away from you the whole time and is now 60 miles away. How long has she been gone?
A. 1 minute B. 30 minutes C. 60 minutes D. 120 minutes
© 2010 Pearson Education, Inc.
Thought Question
Your friend leaves your house. She later calls you on her cell phone, saying that she’s been driving at 60 miles an hour directly away from you the whole time and is now 60 miles away. How long has she been gone?
A. 1 minute B. 30 minutes C. 60 minutes D. 120 minutes