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Observational Astronomy 4

Apr 03, 2018

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Nilesh Gupta
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    19-Apr-13

    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=6.0.0
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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