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5. Stellar populations 6. Galactic (open) clusters. The Pleiades open cluster. Stellar populations The concept of stellar populations was introduced by Walter Baade (German-American astronomer in California) in 1944 from observations of the spiral galaxy M31 in Andromeda.
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5. Stellar populations 6. Galactic (open) clusters The Pleiades open cluster
Stellar populations The concept of stellar populations was introduced by Walter Baade (German-American astronomer in California) in 1944 from observations of the spiral galaxy M31 in Andromeda. Spiral arms: bluer stars – population I Nuclear bulge: redder stars – population II The halo stars are also assigned to population II
Stellar populations l: Andromeda galaxy, M31 above: Walter Baade
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.
Galactic star clusters • Main 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)
Some open clusters top l: double cluster h and χ Per top centre: the Hyades top r: Messier 67 l: κ Crucis, the Jewel Box cluster
Young open clusters and OB associations in the galactic plane are found mainly in the spiral arms
The galactic distributions of both early B-type field stars and of open clusters closely follow the Milky Way and are only found close to the galactic equator
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
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)
Colour-magnitude diagrams for the Pleiades and Praesepe
Colour-magnitude diagrams for the Hyades and NGC188
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.
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 – the convergent point.
Proper motions of stars in the Hyades cluster, showing the convergent point located in the sky but several degrees away from the cluster itself.
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 VR μ θ star V θ Earth to convergent point
The basic equations for the moving cluster method. VR radial velocity (km/s) μ proper motion (arc s/yr) d distance (pc) p parallax (=1/d) (arc s)
For the Hyades the moving cluster method gives mV – MV (distance modulus) = 3.25 Hence d = 44.3 pc. This is a fundamental distance determination in astronomy, relative to which distances to other more distant objects are measured.
Photometric distances for galactic clusters • Plot colour-magnitude diagram mV vs (B-V) • Compare with MV vs (B-V) for Hyades • (MV is known from moving cluster method) • Hence find mV – MV (distance modulus) • = 5 log d – 5 where d is disatnce in parsecs.
Distances of some well-known clusters Cluster distance Hyades 44 pc Pleiades 127 pc Praesepe 159 pc Sco-Cen 170 pc M67 830 pc h Persei 2250 pc χ Persei 2400 pc
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
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.
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