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The Milky Way – Our Galaxy. Exam II. A: 25 or better B: 20 or better C: 17 or better D: 15 or better F: 13 or below Average: 20.7. Solutions to Exam III (updated). 1a,2b,3b,4d,5e,6a,7b,8c,9a,10c,11d,12a, 13c,14c,15c,16c,17b,18d,19c,20a,21b,22c, 23c,24e,25b,26d,27b,28c,29e,30a,31d,32b.
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Exam II A: 25 or better B: 20 or better C: 17 or better D: 15 or better F: 13 or below Average: 20.7
Solutions to Exam III (updated) 1a,2b,3b,4d,5e,6a,7b,8c,9a,10c,11d,12a, 13c,14c,15c,16c,17b,18d,19c,20a,21b,22c, 23c,24e,25b,26d,27b,28c,29e,30a,31d,32b
Toughest Questions Hydrostatic Equilibrium Temperature of Sun’s surface Star of absolute mag 4.6, apparent magnitude 3.2
Galaxies – Island Universes A historic tour of the discovery of the dwindling significance of humans in the universe: From the center of the universe towards the edge of an average galaxy amongst 100 billion others
How do we know where we are? “Obviously” we are living on a flat Earth at the center of the universe, as a quick look tells us: The stars, Sun, Moon and planets rotate us There is no apparent curvature of the ground The Milky Way is a band that surrounds us There are no signs for any movement of the Earth (like wind, or forces throwing us off)
Logic to the Rescue How do we avoid these wrong conclusions? Sound data Flawed interpretation/reasoning Further observations are necessary to decide! Do we have to question everything? Yes, in principle. The signature of genius is to ask the right question, not necessarily to answer them.
Exploring our own Island Universe: The Milky Way A galaxy is a huge collection of stars, gas, dust, neutron stars, and black holes, isolated from others and held together by gravity
Our view of 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 nightsky Questions: What are they? All the same? Different things? Need more observations! Build bigger telescopes
Famous Telescopes - Herschel Herschel detected Uranus (1781) (Uranus is visible with the unaided eye)
Famous Telescopes – Lord Ross 72 inch Reflector built during potato famine in Ireland Largest Telescope until Mt Wilson (1917)
M99 is a spiral, too! Q: do we live in a spiral? Q: Are we in the center of the spiral? Most probable answer: No!
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!
An observer far outside our galaxy would best describe our galaxy and the Sun's position in it as a … a) disk of stars with our Solar System 2/3 towards the edge. b) disk of stars with a bulge containing our Solar System. c) sphere of stars centered on our Solar System. d) sphere of stars with our Solar System near the edge.
Intra-galactic Dynamics 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
Activity: Milky Way Scales Form groups of 3-5 Work on the questions on the handout Hold on the the sheets until we talked about your findings Turn them in with your names on (one sheet per group)
Other Galaxies: Hubble supersedes Shapley • Edwin Hubble identified single stars in the Andromeda nebula (“turning” it into a galaxy) • Measured the distance to Andromeda to be 1 million Ly (modern value: 2.2 mill. Ly) • Conclusion: it is 20 times more distant than the milky way’s radius Extragalacticity! Shapley’s theory falsified!
Q: How many galaxies are there? • Hubble Deep Field Project • 100 hour exposures over 10 days • Covered an area of the sky about 1/100 the size of the full moon • Probably about 100 billion galaxies visible to us!
About 1,500 galaxies in this patch alone • Angular size ~ 2 minutes of arc
Other Galaxies • there are ~ 100 billion galaxies in the observable Universe • measure distances to other galaxies using the period-luminosity relationship for Cepheid variables • Type I supernovae also used to measure distances • Predictable luminosity – a standard candle • Other galaxies are quite distant • Andromeda (M31), a nearby (spiral) galaxy, is 2 million light-years away and comparable in size to Milky Way • “Island universes” in their own right
Q: How does our galaxy look like from the outside? • Probably like others, so observe them!
Hubble Classification Scheme • Edwin Hubble (~1924) grouped galaxies into four basic types: • Spiral • Barred spiral • Elliptical • Irregular • There are sub-categories as well
Spirals (S) • All have disks, bulges, and halos • Type Sa: large bulge, tightly wrapped, almost circular spiral arms • Type Sb: smaller bulge, more open spiral arms • Type Sc: smallest bulge, loose, poorly defined spiral arms
Barred Spirals (SB) • Possess an elongated “bar” of stars and interstellar mater passing through the center
Elliptical (E) • No spiral arms or clear internal structure • Essentially all halo • Vary in size from “giant” to “dwarf” • Further classified according to how circular they are (E0–E7)
S0/SB0 • Intermediate between E7 and Sa • Ellipticals with a bulge and thin disk, but no spiral arms
Test: What type is this galaxy? Spiral Barred Spiral Irregular Elliptical
And this one? Spiral Barred Spiral Irregular Elliptical
Type? • Spiral • Barred Spiral • Irregular • Elliptical
Here’s a weird one! Spiral Elliptical Barred Spiral Irregular
Solutions Sb (Andromeda Galaxy M31) E2 (Elliptic Galaxy) SBb (Barred spiral galaxy) Ir II (Irregular galaxy M82)
Q: How do we know we live in a Spiral Galaxy? • After correcting for absorption by dust, it is possible to plot location of O- and B- (hot young stars) which tend to be concentrated in the spiral arms • Radio frequency observations reveal the distribution of hydrogen (atomic) and molecular clouds • Evidence for • galactic bulge • spiral arms
Rotation of the Galaxy • Stars near the center rotate faster; those near the edges rotate slower (Kepler) • The Sun revolves at about 250 km/sec around the center • Takes 200-250 million years to orbit the galaxy – a “galactic year”
How do spiral arms persist? Why don’t the “curl up”?
“Spiral Density Waves” • A spiral compression wave (a shock wave) moves through the Galaxy • Triggers star formation in the spiral arms • Explains why we see many young hot stars in the spiral arms
The Mass of the Galaxy • Can be determined using Kepler’s 3rd Law • Solar System: the orbital velocities of planets determined by mass of Sun • Galaxy: orbital velocities of stars are determined by total mass of the galaxy contained within that star’s orbit • Two key results: • large mass contained in a very small volume at center of our Galaxy • Much of the mass of the Galaxy is not observed • consists neither of stars, nor of gas or dust • extends far beyond visible part of our galaxy (“dark halo”)
Galaxy Masses • Rotation curves of spiral galaxies comparable to milky way • Masses vary greatly