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Announcements • Pick up graded homework (projects, tests still in progress) • Turn in Homework 10 by 5:00 • Vote tomorrow! • Transit of Mercury (crossing in front of Sun), Wednesday afternoon, roughly noon-5:00. We’ll have telescopes set up at observatory for viewing (weather permitting). A giant star spot Supernovae and Neutron Stars 6 November 2006 Today: • Ages of star clusters • Observation: Novae and Supernovae • Theory: White dwarf explosions and deaths of massive stars H-R Diagram Patterns Luminosity Luminosity = (constant) x (surface area) x (temperature)4 For a given size, hotter implies brighter. A bright, cool star must be unusually large (“red giant”). A faint, hot star must be unusually small (“white dwarf”). Main Sequence Lifetimes (predicted) Mass (suns) 25 15 3 1.5 1.0 0.75 0.50 Surface temp (K) 35,000 30,000 11,000 7,000 6,000 5,000 4,000 Luminosity (suns) 80,000 10,000 60 5 1 0.5 0.03 Lifetime (years) 3 million 15 million 500 million 3 billion 10 billion 15 billion 200 billion A young star cluster (Pleiades) Main sequence only, no red giants or white dwarfs An old star cluster (Messier 3) Main sequence “cuts off” above a certain point; plenty of red giants and white dwarfs Oldest known cluster ages are about 12 billion years Nova (“New Star”) Nova (“New Star”) “Tycho’s Supernova” (1572) Supernova 1987a A supernova in another galaxy Supernova Remnants Typically expanding at about 1% of the speed of light (False-color, x-ray images) Crab Nebula Other Supernova Remnants “Veil Nebula” (Cygnus) “Gum Nebula” (Vela) Planetary Nebulae Slowly expanding shells of gas, ejected by pulsating stars, still heated by what’s left of the star’s core Transfer of matter to a white dwarf… If enough hydrogen builds up, an explosive nuclear reaction can occur . . . a “nova”! (Not really a new star) But white dwarfs can’t grow too massive Just as relativity theory predicts that no signal can travel faster than the speed of light, it also limits the stiffness of materials. A white dwarf star of more than 1.4 solar masses (the “Chandrasekhar limit”) exceeds the stiffness limit and therefore implodes, shrinking to a much smaller size. S. Chandrasekhar Type I and II Supernovae (theory) Final days of a massive star Core of a supergiant (final stage) (The theoretical astrophysicists can back all this up with equations and computer models.) Nuclear binding energies The greater the binding energy per nucleon, the “more stable” the nucleus is. Fusion reactions release energy only when the products have more binding energy than the reactants.