astr112 the galaxy lecture 3 prof. john hearnshaw 5. stellar populations 6. galactic (open) clusters...

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ASTR112 The Galaxy Lecture 3 rof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters he Pleiades open cluster

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Page 1: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

ASTR112 The GalaxyLecture 3

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5. Stellar populations6. Galactic (open) clusters

The

Ple

iade

s op

en c

lust

er

Page 2: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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Stellar populations

The concept of stellar populations was introducedby Walter Baade (German-American astronomer in California) in 1944 from observations of thespiral galaxy M31 in Andromeda.

Spiral arms: bluer stars – population INuclear bulge: redder stars – population IIThe halo stars are also assigned to population II

Page 3: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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Stellar populations

l: Andromeda galaxy, M31above: Walter Baade

Page 4: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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Baade’s 1944 colour-magnitude diagram of stars in M31 showing two populations. The brightest pop II stars are redder than the brightest pop I stars.

Page 5: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

ASTR112 The GalaxyLecture 3

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Stellar populations

Page 6: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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Page 7: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

ASTR112 The GalaxyLecture 3

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Page 8: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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Galactic star clustersMain points• Also known as open star clusters• About 400 known; ~18000 may exist in Galaxy• Gal. latitude b ≤ 5º in most cases, very few >10º• Open clusters are mainly young Popn I objects • Typically they contain a few hundred stars• The stars are coeval (of same age), at essentially same distance and of same metallicity• There is a spread in star masses (given by IMF)

Page 9: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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The Pleiades star cluster

Page 10: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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Some open clusterstop l: double cluster h and χ Pertop centre: the Hyadestop r: Messier 67l: κ Crucis, the Jewel Box cluster

Page 11: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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Young open clusters and OB associations in the galactic planeare found mainlyin the spiral arms

Page 12: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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The galactic distributions of both early B-type fieldstars and of open clusters closely follow the Milky

Way and are only found close to the galactic equator

Page 13: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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Most famous young Popn I clusters include:• the Pleiades• the Hyades• h and χ Persei (the double cluster)• Praesepe• κ Crucis (the Jewel Box)Old Popn I clusters are much rarer and include:• M67• NGC188

Page 14: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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Galactic cluster Hertzsprung-Russell diagrams

• This is a plot of magnitude as a function of colour index (often (B–V)) or of spectral type.• If C.I. is used, then also known as a colour- magnitude diagram (CMD)

Page 15: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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Colour-magnitude diagrams for the Pleiades and Praesepe

Page 16: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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Colour-magnitude diagrams for the Hyades and NGC188

Page 17: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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Messier 67 colour-magnitude diagram

Page 18: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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Composite HR diagram for open star clusters

Page 19: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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Features of the HR diagram for a galactic cluster:• Zero-age main sequence (ZAMS) The locus of stars which have just started to shine• Subgiant branch Stars that have just exhausted H in their cores, and are now moving off the main sequence• Red giants Evolved stars in upper right-hand part of diagram with either He cores, or they are burning He to C and O in their cores. They have a H-burning shell. These were once the more massive MS stars.

Page 20: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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Moving cluster distances

Fundamental distance method applicable to Hyades (the nearest cluster) and Sco-Cen association

Stars in cluster have common space motion. But because of the perspective effect, the proper motions appear to converge on a given point in sky – theconvergent point.

Page 21: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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Proper motions ofstars in the Hyadescluster, showingthe convergent pointlocated in the skybut several degreesaway from the cluster itself.

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Measure• θ, the angle between each star and convergent point• Radial velocity of stars VR from the Doppler shift of spectral lines• Proper motion of each star, μ, in arc seconds/yr

VRμ θ

θto convergent point Earth

star

V

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tan74.4

or

74.4tan

74.4But

tan

sin

cos

R

R

T

RT

T

R

Vp

Vd

dV

VV

VV

VV

The basic equations forthe moving cluster method.VR radial velocity (km/s)μ proper motion (arc s/yr)d distance (pc)p parallax (=1/d) (arc s)

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For the Hyades the moving cluster method givesmV – MV (distance modulus) = 3.25Hence d = 44.3 pc.

This is a fundamental distance determination in astronomy, relative to which distances to other more distant objects are measured.

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Photometric distances for galactic clusters

1. Plot colour-magnitude diagram mV vs (B-V)2. Compare with MV vs (B-V) for Hyades (MV is known from moving cluster method)3.Hence find mV – MV (distance modulus) = 5 log d – 5 where d is disatnce in parsecs.

Page 26: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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Distances of some well-known clusters

Cluster distanceHyades 44 pcPleiades 127 pcPraesepe 159 pcSco-Cen 170 pcM67 830 pch Persei 2250 pcχ Persei 2400 pc

Page 27: ASTR112 The Galaxy Lecture 3 Prof. John Hearnshaw 5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster

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Ages of clusters

Lifetimes of main-sequence stars depend strongly on mass.

Mass (M⊙) M-S lifetime (yr)

15 10 × 106

5 66 × 106

3 22 × 107

1 10 × 109

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The cluster turn-off point

• This is the (B-V) colour index of bluest main- sequence stars, and corresponds to most massive stars still on M-S (core hydrogen-burning stage).

• Turn-off goes to redder M-S stars as cluster ages.

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Ages of some well-known galactic clusters

Cluster age (yr)

h and χ Persei 3 × 106

Pleiades 5 × 106

Praesepe 4 × 108

Hyades 5 × 108

M67 5 × 109

NGC188 8 × 109

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End of lecture 3End of lecture 3