Lecture 20: Star Clusters
Astronomy 101/103
Terry Herter, Cornell University
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Lecture
Topics
  • Stellar Clusters
    • Seeing stellar evolution at work
    • Globular, Galactic, and Open Cluster
  • Stellar Explosions
  • White Dwarfs
  • Summary of Stellar "End-Products"

Star Clusters
and
Associations

Groupings of stars which may stay together for a long time (> 1010 years) or a short time (< 108 years).

Clusters are places where we can see the results of stellar evolution

A Spiral Galaxy


Galactic
Clusters
  • Located in the disk of our galaxy
  • Young stars (Population I)
  • ~50 to 10000 stars per cluster
  • ~10 pc in diameter
  • Star density ~ 0.1 to 10 stars/pc3
  • Irregularly shaped
  • ~1000 in the Galaxy
  • Examples: Pleiades, Hyades, Praesepe

Globular
Clusters
  • Located in the halo of our galaxy
  • Old stars (Population II)
  • ~104 to 106 stars per cluster
  • ~20-100 pc in diameter
  • Star density ~ 0.5 to 103 stars/pc3
  • Roughly spherically shaped
  • ~150 in the Galaxy
  • Examples: M3, M13 (Hercules), M15

O-B Stellar
Associations
  • High metal abundances
  • Interstellar gas and dust may be present
  • Located in the spiral arms of our galaxy
  • Young stars (Population I) w/ associated interstellar material.
  • ~100 to 1000 stars per cluster
  • ~100 - 200 pc in diameter, Irregularly shaped
  • Star density ~ 0.01 stars/pc3
  • ~80 in the Galaxy
  • Example: Orion O-B Association

Star Cluster
Evolution
  • Stars in a cluster are all thought to be born at the same time.
  • This means the high mass stars evolve off the main-sequence first.
  • We can tell the age of a cluster by the highest mass stars present.

Cluster: Birth

Model Evolution of a Cluster

  • H-R diagrams are plotted for a cluster of stars at different times after its formation. The size of the symbol is proportional to log(R/Rsun).

Cluster at Birth


Age = 8x106
years


Age = 256x106
years


Age = 3x109
years


Age = 8x109
years

 


Fusion
Times

Fusion Time in a 20 Msun Star

Fuel
Time (years)
H
7,000,000 years
He
500,000 years
C
600 years
O
0.5 years
Si
1 day

Note that the reaction times get much faster as we go to heavier elements. This is basically a runaway effect.


Stars
Explode!
  • Mild Explosion => Planetary Nebula
    • Ejection of the outer layers of the red giant
  • Strong Explosion => Nova
    • Eruptions in a binary star system
  • Catastrophic Explosion => Supernova
    • Blasting away the outer parts of a star

Explosion
Results
  • Explosions put the processed stellar material back into the interstellar medium for the next generation of stars to use!
  • In a supernova, neutrons bombard nuclei and build up very heavy elements, e.g. Gold, Uranium, etc.

Stellar
End-Products
  • White dwarfs
    • Light up planetary nebulae for a while
    • Eventually cool and fade away. It becomes to faint to see.
  • Pulsars => cold neutron stars
    • A big nucleus in the sky
  • Black Holes => ???

Importance
of
Mass
  • The fate of a star is linked to its mass when it nears the end of it's life.
  • The depends upon
    • Its initial mass
    • How much mass it loses along the way.

White
Dwarfs
  • For Mcore < 1.4 Msun, the core is stable.
  • A white dwarf forms
    • Size of the earth but mass of the sun!
  • As the star cools we might expect it to get smaller and smaller.
  • … It doesn't!

What Stops
Core
Collapse?
  • The Pauli Exclusion Principle:
    • No two electrons can be at the same place at the same time with the same energy.
  • Electrons cannot move closer together because they have nowhere to go.
  • The strong repulsion caused by the Exclusion Principle is called
    - Electron Degeneracy Pressure

The
Winner is?!
  • Electron degeneracy pressure can balance gravity when Mcore < 1.4 Msun.
  • When Mcore > 1.4 Msun, collapse continues as the electron get "assimilated" into the nuclei to create a Neutron Star.
  • When Mcore > ~ 4 Msun, even nuclear "pressure" can not halt the collapse. Gravity creates a Black Hole.

The
Death of
Stars

Stellar Mass
Nature of collapse
Size of Radius (km)
Density (g/cm3)
End Product
Mstar < 1Msun
Slow gravitational contraction
---
---
White Dwarf
1 Msunto ~5 Msun
Mild core collapse
7000
107
White Dwarf
~5 Msun to 15 Msun
Fast core collapse
20
3x1014
Neutron Star
Mstar > 15 Msun
Very fast core collapse
4
1016
Black Hole

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