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Astronomy 100 Tuesday, Thursday 2:30 - 3:45 pm Tom Burbine [email protected] www.xanga.com/astronomy100 OWL assignment (Due Today) • There is be an OWL assignment due on Tuesday April 5 at 11:59 pm. • There are 15 questions and a perfect score will give you 2 homework points. Exam • 40 Questions • Chapters 15, 16, 17, and 18 • Some of the questions are taken straight from OWL questions Other Room • April 7th Goessmann 0020 2:30-3:45 PM Last Names beginning with H, I, J, and K Things you should know • • • • • • • • Layers of the Sun Hydrogen Fusion Hertzsprung-Russell Diagram Stellar Classifications Life Cycle of the Sun Helium Fusion CNO cycle What happens to stars as they “die” Review Session • Wednesday-Review Session – Hasbrouck 134 from 7-8 pm – I will be there at 6 pm if you want to talk to me in a much smaller group PRS Questions PRS question #1 • What is approximately the temperature of the plasma in a sunspot? – – – – – A) 2,000 K B) 4,000 K C) 6,000 K D) 8,000 K E) 10,000 K PRS question #1 • What is approximately the temperature of the plasma in a sunspot? – – – – – A) 2,000 K B) 4,000 K C) 6,000 K D) 8,000 K E) 10,000 K PRS Question #2 • Which of these spectral types have the strongest hydrogen emission lines in their spectra? – – – – – A) O B) B C) A D) F E) G PRS Question #2 • Which of these spectral types have the strongest hydrogen emission lines in their spectra? – – – – – A) O B) B C) A D) F E) G “Deaths” of Stars • White Dwarfs • Neutron Stars • Black Holes White Dwarfs • White Dwarfs is the core left over when a star can no longer undergo fusion • Very dense – Some have densities of 3 million grams per cubic centimeter – A teaspoon of a white dwarf would weigh as much as an elephant White Dwarfs • Some white dwarfs have the same mass as the Sun but slightly bigger than the Earth • 200,000 times as dense as the earth White Dwarfs • Collapsing due to gravity • The collapse is stopped by electron degeneracy pressure Electron Degeneracy Pressure • No two electrons can occupy the same quantum state Electron Degeneracy Pressure • As electrons are moved closer together • Their momentum (velocity) increases • Due to Heisenberg Uncertainty Principle So What Does This Mean • Electron Degeneracy Pressure balances the gravitational force due to gravity in white dwarfs One Interesting Thing • More massive white dwarfs are smaller White Dwarf Limit • The mass of a White Dwarf can not exceed approximately 1.4 Solar Masses • Called the Chandrasekhar Limit • Electrons would have velocities greater than the speed of light The Sun • Will end up as a White Dwarf Neutron Star • • • • Neutron stars are usually 10 kilometers acroos But more massive than the Sun Made almost entirely of neutrons Electrons and protons have fused together How do you make a neutron star? • Remnant of a Supernova How do you get a Supernova? • A high-mass star keeps on fusing elements into ones with larger atomic masses • Is now a Red Supergiant • Energy keeps on being released since the mass of the new nucleus is less than the original ones This stops with Iron • Fusion of Iron with another element does not release energy • Fission of Iron with another element does not release energy • So you keep on making Iron Initially • Gravity keeps on pulling the core together • The core keeps on shrinking • Electron degeneracy keeps the core together for awhile Then • The iron core becomes too massive and collapses • The iron core becomes neutrons when protons and electrons fuse together Density • You could take everybody on Earth and cram them into a volume the size of sugar cube Explosion • The collapse of the core releases a huge amount of energy since the rest of the star collapses and then bounces off the neutron core • 1044-46 Joules • Annual energy generation of Sun is 1034 Joules How do we know there are neutron stars? • The identification of Pulsars • Pulsars give out pulses of radio waves at precise intervals Pulsars • Pulsars were found at the center of supernovae remnants Pulsars • Pulsars were interpreted as rotating neutron stars • Only neutron stars could rotate that fast • Strong magnetic fields can beam radiation out Black Holes • If a collapsing stellar core has a mass greater than 3 solar masses, • It becomes a black hole Black Hole • After a supernova if all the outer mass of the star is not blown off • The mass falls back on the neutron star • The gravity causes the neutron star to keep contracting Black Hole • A black hole is a region where nothing can escape, even light. Event Horizon • Event Horizon is the boundary between the inside and outside of the Black Hole • Within the Event Horizon, the escape velocity is greater than the speed of light • Nothing can escape once it enters the Event Horizon How do calculate the radius of the Event Horizon? • • • • It is called the Schwarzschild Radius Radius = 2GM/c2 This is a variation of the escape velocity formula Escape velocity = square root (2GMplanet/Rplanet) Black Hole Sizes • A Black Hole with the mass of the Earth would have a radius of 0.009 meters • A Black Hole with the mass of the Sun would have a radius of 3 kilometers Can you see a Black Hole? No • Black Holes do not emit any light • So you must see them indirectly • You need to see the effects of their gravity Evidence • The white area is the core of a Galaxy • Inside the core there is a brown spiralshaped disk. • It weighs a hundred thousand times as much as our Sun. Evidence • Because it is rotating we can measure its radii and speed, and hence determine its mass. • This object is about as large as our solar system, but weighs 1,200,000,000 times as much as our sun. • Gravity is about one million times as strong as on the sun. • Almost certainly this object is a black hole. Questions