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IESO
Observational Astronomy
Part 4
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Star Properties
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Apparent Magnitude
System of Hipparchus Group of brightest stars 1m
Stars about as bright as 1m 2m
Stars about as bright as 2m 3m
Naked Eye Limit 6m
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Apparent Magnitude
19th century photographers learn how eye responds tolight (Pogson)
Doubling the brightness is not perceived as a doubling by the
eye
Eye response is logarithmic
Ratio of 100 in brightness corresponds to a Difference
of five magnitudes
Dm of 5 100X in light
Dm of 1 2.512X in light
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Some Apparent Magnitudes
Sun -26.8
Full Moon -12.6
Venus at brightest -4.4
Sirius -1.5 Naked Eye Limit 6.0
Faintest Objects +30.0
Hubble
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Learning the Brightness
Is a star bright... Because it really is a bright star?
Because it is close to the Earth?
Stellar brightness depends on
Luminosity
Distance
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Measuring Distance
Stellar Parallax
June
January
Sun
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Stellar Parallax
June
January
Sun
1 AU
Parallax
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Measuring Parallax
1 AU
1 parsec
1 arcsec
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Stellar Parallax
pd
1
When p is measured in arcsec
and d is measured in parsecs
One parsec:
206,265 AU
3.26 light years
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Stellar Parallax
Nearest star to Sun (largest parallax) a Cen p = 0.7 arcsec
Limit of accurate parallax 200 pcs (angles of 0.005 arcsec)
Hipparcos satellite (120,000 stars measured to 0.001 arcsec)
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Absolute Magnitude
The magnitude a star would have at 10 parsecs from theSun.
The apparent (m) and absolute (M) magnitudes of a star
at 10 pcs are the same.
M, m, and d are related. Knowing two allows you to
compute the third.
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Putting the Pieces into Place
Ejnar Hertsprung1911
Henry Norris Russell1913
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Luminosity Classes
I Supergiants
II Bright Giants
III Giants
IV Subgiants
V Dwarfs
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Luminosity Class implies Size
Consider the Sun and Capella
The Sun
G2V M=5Capella
G2III M=0
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Luminosity Class implies Size
Equal sized pieces of each star are equally bright
Capella is 100X brighter (5 magnitudes)
Capella must have 100X as much area
Surface area radius2
Capella must be 10X larger than Sun.
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Luminosity Class in the
Spectrum
A3
Supergiant
A3
Giant
A3
Dwarf
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Sun G2V
Vega A1V
Betelgeuse M1I
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Which of these starsis hottest?
1. Sun G2V
2. Vega A1V
3. Betelgeuse M1I
4. Cant compare
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Which of these starsis brightest?
1. Sun G2V
2. Vega A1V
3. Betelgeuse M1I
4. Cant compare
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Which of these starsis smallest?
1. Sun G2V
2. Vega A1V
3. Betelgeuse M1I
4. Cant compare
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Which of these starsis most distant?
1. Sun G2V
2. Vega A1V
3. Betelgeuse M1I
4. Cant compare
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Spectroscopic Parallax
Observe thespectrum and
apparent magnitude
of a star
Classify thespectrum
Plot it on the H-R
Diagram
Read off the M
From m and M
compute
distance
Main
Sequence
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Color Index
0.00
0.50
1.00
1.50
2.00
2.50
3.00
0 500 1000
Wavelength (nm)
RelativeEnergy
B V
12000 K
7000 K
*
*
* *
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Color Index
Star Temperature mB mV .
1 12000 K 2.0 2.4
2 7000 K 3.0 3.1
Color Index = mB - mV = B-V
1 B-V = 2.0 - 2.4 = -0.4
2 B-V = 3.0 - 3.1 = -0.1
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Spectroscopic Parallax
Can now get distances to any object whosespectrum can be measured.
Limit 5000 pcs
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Study Tools
Review 1
Review 2
http://astro.unl.edu/classaction/loader.html?filename=animations/stellarprops/spectroparallax.swf&movieid=spectroparallax&width=870&height=600&version=6.0.0http://astro.unl.edu/classaction/loader.html?filename=animations/stellarprops/hrexplorer.swf&movieid=hrexplorer&width=805&height=665&version=6.0.0http://astro.unl.edu/classaction/loader.html?filename=animations/stellarprops/hrexplorer.swf&movieid=hrexplorer&width=805&height=665&version=6.0.0http://astro.unl.edu/classaction/loader.html?filename=animations/stellarprops/spectroparallax.swf&movieid=spectroparallax&width=870&height=600&version=6.0.07/28/2019 Observational Astronomy 4
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The Advantage of Color Index
Measures temperature just like Spectral Type Much easier to obtain
requires two measurements of brightness
spectral type requires getting the spectrum
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Color-Magnitude Diagrams
M
Spectral Type
Standard H-RDiagram
mV
B-V
Color-MagnitudeDiagram
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Color-Magnitude Diagrams
Useful for star clusters Can substitute mV for MV since you know all the stars are the
same distance away.
Star Clusters
Open (galactic)
Globular
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Structure of
the Milky Way
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Open Clusters
Irregular shape Few tens to few hundred stars
In the plane of the galaxy
Young stars
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Open clusters
M16
M45
M37
o or agn u e agram
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o or- agn u e agramM45
0
2
4
6
8
10
12
14
16
18
-0.5 0 0.5 1 1.5 2B-V
mV
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Globular Clusters
Spherical in shape Hundreds of thousands of stars
Halo distribution about galactic nucleus
Old stars
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Globular Clusters
M5 M3
SFA Observatory
o or agn u e agram
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o or- agn u e agramM3