Review: The life of Stars. Variable Stars Eclipsing binaries (stars do not change physically, only their relative position changes) Nova (two stars “collaborating”

Review:The life of Stars

Variable Stars

• Eclipsing binaries (stars do not change physically, only their relative position changes)

• Nova (two stars “collaborating” to produce “star eruption”)

• Cepheids (stars do change physically)• RR Lyrae Stars (stars do change physically)

• Mira Stars (stars do change physically)

Binary Stars

• Some stars form binary systems – stars that orbit one another– visual binaries– spectroscopic binaries– eclipsing binaries

• Beware of optical doubles– stars that happen to lie along the same line of

sight from Earth

• We can’t determine the mass of an isolated star, but of a binary star

Visual Binaries

• Members are well separated, distinguishable

Spectroscopic Binaries• Too distant to resolve the individual stars

• Can be viewed indirectly by observing the back-and-forth Doppler shifts of their spectral lines

Eclipsing Binaries (Rare!)• The orbital plane of the pair almost edge-on to our

line of sight• We observe periodic changes in the starlight as one

member of the binary passes in front of the other

Cepheids • Named after δ Cephei

• Period-Luminosity Relations

• Two types of Cepheids: – Type I: higher luminosity, metal-rich, Pop. 1– Type II: lower lum., metal-poor, Population 2

• Used as “standard candles”

• “yard-sticks” for distance measurement

• Cepheids in Andromeda Galaxies established the “extragalacticity” of this “nebula”

Cepheids• Henrietta Leavitt (1908) discovers the

period-luminosity relationship for Cepheid variables

• Period thus tells us luminosity, which then tells us the distance

• Since Cepheids are brighter than RR Lyrae,they can be used to measure out to further distances

Properties of Cepheids

• Period of pulsation: a few days

• Luminosity: 200-20000 suns

• Radius: 10-100 solar radii

Properties of RR Lyrae Stars• Period of pulsation: less than a day

• Luminosity: 100 suns

• Radius: 5 solar radii

Spectroscopic Parallax• Assuming distant stars

are like those nearby,– from the spectrum of a

main sequence star we can determine its absolute luminosity

– Then, from the apparent brightness compared to absolute luminosity, we can determine the distance (B L / d2

again!)

• Good out to 1000 pc or so; accuracy of 25%

Distance Measurements with variable stars• Extends the cosmic

distance ladder out as far as we can see Cepheids – about 50 million ly

• In 1920 Hubble used this technique to measure the distance to Andromeda (about 2 million ly)

• Works best for periodic variables

Cepheids and RR Lyrae: Yard-Sticks

• Normal stars undergoing a phase of instability

• Cepheids are more massive and brighter than RR Lyrae

• Note: all RR Lyrae have the same luminosity

• Apparent brightness thus tells us the distance to them!– Recall: B L/d2

The Milky Way

• Appears as a milky band of light across the sky

• A small telescope reveals that it is composed of many stars (Galileo again!)

• Our knowledge of the Milky Way comes from a combination of observation and comparison to other galaxies

How do we know?

• Question: How can we say anything about our Milky Way, if we cannot see it from outside?

Obviously a bogus picture of our milky way!

Enter: the Genius

• William Herschel (XVIII century)• Simple model:

– Assumed all stars have the same absolute brightness

– Counts stars as a function of apparent magnitude

– Brighter stars closer to us; fainter stars further away

– Cut off in brightness corresponds to a cut off at a certain distance.

• Conclusion: there are no stars beyond a certain distance

Herschel’s Findings• Stars thinned out very fast at right angles to Milky Way• In the plane of the Milky Way the thinning was slower

and depended upon the direction in which he looked • Flaws:

– Observations made only in visible spectrum– Did not take into account absorption by interstellar gas and dust

Discovering other Island Universes• Data: Lots of nebulous spots

known in the night sky• Questions: What are they? All

the same? Different things? • Need more observations!

Build bigger telescopes

The first nebula discovered to have spiral structure: M51

Enter: next genius

• Harlow Shapley used variable stars, e.g. RR Lyrae stars, to map the distribution of globular clusters in the galaxy

• Found a spherical distribution about 30 kpc (30,000 pc) across– This is the true size of the

galaxy

• Sun is (naturally!) not at the center – it’s about 26,000 ly out

Standing on the shoulders of Giants

• Shapley used methods developed by others to measure the distance to globulars

• Cepheid variables show luminosity-period correlations discovered by Henrietta Leavitt

• Shapley single-handedly increase the size of the universe tenfold!

Structure of a Spiral Galaxy

• Three main parts of a galaxy:– Bulge (center of

galaxy)– Disk (rotating

around center)– Halo (orbiting

around bulge with randomly inclined orbits)

Properties of Bulge, Disk and Halo

Disk Halo Bulge

Highly flattened spherical football-shaped

young and old stars only old stars young and old stars

has Gas and dust none lots in center

Star formation none since 10 billion yrs in inner regions

White colored, reddish yellow-white blue spiral arms

An up-to-date “Reconstruction”