3/31/2017 Foundations of Astronomy | 13e Seeds Keep your voting card ready Phys1411 – Introductory Astronomy Instructor: Dr. Goderya © Cengage Learning 2016 Exam 2 • A second chance to improve Exam 2 score • Tuesday April 4th from 6-7:15 pm. • Lab: Do it yourself activity to be assigned on Tuesday. Chapter 8 The Sun Topics I. Introduction A. Viewing the Sun B. General Definition C. General Properties D. Chemical Composition E. Basic Structure II. The Solar Atmosphere A. The Corona B. The Chromosphere C. Methods of Heat Transfer D. The Photosphere E. Temperature gradient in the Sun’s atmosphere F. The Solar Wind Outline (continued) III. The Sunspot IV. Helioseismology V. Sunspot Activity A. The Solar Cycle B. Maunder Diagram C. Solar Rotation D. The Solar magnetic cycle VI. Interior of the Sun A. The Core and Envelope B. Density and Pressure C. Hydrostatic Equilibrium VII. Nuclear Fusion in the Sun A. Nuclear Binding Energy B. Hydrogen Fusion C. The Solar Neutrino Problem 1 3/31/2017 The Solar Interior - Helioseismology The Solar Interior How do we study the Sun’s interior? • The Interior of the Sun is opaque and can only be studied with Helioseismology • On Earth we measure earthquakes with seismographs • Helioseismology is a technique to measure the vibration modes in the Sun • The figure shows different kinds of waves each with its own wavelength and the penetration depth. • Using Doppler shifts as the photosphere moves gently up and down, astronomers can map the inside of the Sun • This way we can measure Density, temperature, Pressure, composition and motion inside the Sun. © Cengage Learning 2016 Solar Sunspot Activity • Sunspots are cooler regions of the Photosphere (T ~ 4240K) Solar Sunspot Cycles The number of spots visible on the Sun varies in a cycle with a period of 11 years. At maximum, there are often more than 100 spots visible. At minimum, there are very few or zero. Every 22 years the cycle repeats • Still brighter than the full moon when placed on the night sky © Cengage Learning 2016 The Maunder Butterfly Diagram Early in a cycle, spots appear at high latitudes north and south of the Sun’s equator. Later in the cycle, new spots appear closer to the Sun’s equator. If you plot the latitude of sunspots versus time, the graph looks like butterfly wings, as shown in this Maunder butterfly diagram, named after E. Walter Maunder of Greenwich Observatory © Cengage Learning 2016 The Sun’s Magnetic Cycle – Differential Rotation • (a) The photosphere of the Sun rotates faster at the equator than at higher latitudes. Sunspot at different latitudes don’t move at the same speed. • (b) Detailed analysis of the Sun’s rotation from helioseismology reveals that the interior of the Sun rotates differentially as well, with regions of relatively slow rotation (blue) and rapid rotation (red). Differential rotation seems to be responsible for magnetic cycle of the Sun © Cengage Learning 2016 © Cengage Learning 2016 2 3/31/2017 Babcock Model The Babcock model of the solar magnetic cycle explains the sunspot cycle as primarily a consequence of the Sun’s differential rotation gradually winding up and tangling the magnetic field near the base of the Sun’s outer, convective layer. Sunspots Tend to Occur in Groups or Pairs • In sunspot groups, here simplified into pairs of major spots, the leading spot and the trailing spot have opposite magnetic polarity. • Spot pairs in the Southern Hemisphere have reversed polarity from those in the Northern Hemisphere. © Cengage Learning 2016 Origins of Solar Wind • Much of the solar wind comes from coronal holes where the magnetic field does not loop back into the Sun. These open magnetic fields allow ionized gas in the corona to flow away as the solar wind. The dark area in the X-ray image at right is a coronal hole. • X-Ray Images of the Sun Reveal Coronal Holes © Cengage Learning 2016 Attendance Solar Winds Interact with the Earth magnetic field and cause short term climate changes. © Cengage Learning 2016 ClassAction: Astronomy Education at the University of Nebraska-Lincoln Web Site (http://astro.unl.edu) Solar Interior: Core and Envelope Core Envelope © Cengage Learning 2016 Campus.kellerisd.net This where almost all the energy is generated 3 3/31/2017 Density Matters in the Sun Sun Interior and Flow of Energy in the Sun • Near the center, nuclear fusion reactions sustain high temperatures. • Energy flows outward through the radiative zone as photons that gradually make their way to the surface as they are randomly deflected over and over by collisions with electrons. • In cooler, more opaque outer layers the energy is carried by rising convection currents of hot gas (red arrows) and sinking currents of cooler gas (blue arrows Density =Mass/Volume © Cengage Learning 2016 © Cengage Learning 2016 Density and Temperature in the Sun Gravity Pulls Matter Inward What Keeps the Sun from Collapsing on itself? KCVS © Cengage Learning 2016 Gas Pressure: Ideal Gas Law Gas Pressure Pushes Outwards Pressure = (density)(temperature)(constant) • Gas Pressure is the force of the gas particles colliding with the walls of its container • Density and Temperature control the amount of pressure Where Does Pressure Come From? © Cengage Learning 2016 Indiana.edu 4 3/31/2017 Gravity and Sun Hydrostatic Equilibrium Energy in the Sun Where does the Sun gets its energy from? A State When Gravity Compression = Gas Pressure Coal? Chemical Burning? Nuclear Fission? Or Nuclear Fusion? Comparing The Sun with a Nuclear Bomb • Total Output Power 4 x 1026 watts – 100 billion 1 megaton nuclear bombs per second – 4 trillion-trillion 100W light bulbs Fission or Fusion What kind of fuel can give such high temperatures and Pressure? World War II © Cengage Learning 2016 Comparing Oil, Coal and Fusion • Nuclear Fusion is more Efficient © Cengage Astronomy Learning 2016 ClassAction: Education at the University of Nebraska-Lincoln Web Site (http://astro.unl.edu) © Cengage Learning 2016 Fusionforenergy.com 5 3/31/2017 Comparing fusion with burning Converting 1 kg of Hydrogen into Helium E = mc2 = (0.007kg) (3 x 108 m/s)2 = 6.3 x 1014 joule 20,000 metric tons of coal (2 x 107 kg) is needed to produce this much energy © Cengage Learning 2016 What Chemical Elements are Needed for Nuclear Fusion or Fission? What is Binding Energy? Energy needed to disassemble the nucleus of an atom. Test your Learning The Sun's luminosity comes primarily from a) chemical burning. b) the mechanical energy of turbulence. c) nuclear fusion. d) gravitational contraction. e) all of the above are comparable in importance. © Cengage Learning 2016 http://hea-www.harvard.edu/~pgreen/educ/ Binding Energy Curve • Obtained by dividing the binding energy by the number of nucleons in the nucleus • Fusion of Iron subtracts energy from the core © Cengage Learning 2016 Conditions for Fusion to Occur © Cengage Learning 2016 Proton-Proton (P-P) reaction http://astro.unl.edu/classaction/animations/sunsolarenergy/fusion01.html • High Temperature (High Velocity) • High Pressure • High Density In the Sun’s Core these conditions are met © Cengage Learning 2016 © Cengage Learning 2016 6 3/31/2017 Converting Mass into Energy 4 H atoms = 6.693 x 10-27kg -1 He atom = 6.645 x 10-27kg _______________________ Mass Lost = 0.048 x 10-27kg E = mc2 0.7% of mass converted to energy E = mc2 = (0.048 x 10-27kg) (3 x 108 m/s)2 = 4.3 x 10-12 joule Lights up a 10-watt bulb for a one-half of a trillionth of a second 107 times larger than burning in a chemical reaction © Cengage Learning 2016 Test your Learning © Cengage Astronomy Learning 2016 ClassAction: Education at the University of Nebraska-Lincoln Web Site (http://astro.unl.edu) Solar Neutrino Problem What is a Neutrino? The energy emitted by the Sun is produced a) uniformly throughout the whole Sun. b) throughout the whole Sun, but more in the center than at the surface, as 1/r^2. c) in a very small region at the very center of the Sun. d) from radioactive elements created in the Big Bang. © Cengage Learning 2016 http://hea-www.harvard.edu/~pgreen/educ/ It is a subatomic particle (Quarks and Leptons) with no charge. Neutrino’s come in three flavors. • The Sun produces 1012 neutrino’s that pass our bodies every second • So why can’ we detect them? • Is there a problem in our understanding of energy mechanics in the Sun? • Solar neutrino can oscillate in these 3 flavors © Cengage Learning 2016 Solar Neutrino Problem • On Earth only electron neutrino was detect the other two are not. • But if neutrino can oscillate they must have mass and hence gravity. • They could affect the evolution of the Universe. © Cengage Learning 2016 © Cengage Astronomy Learning 2016 ClassAction: Education at the University of Nebraska-Lincoln Web Site (http://astro.unl.edu) 7 3/31/2017 The Solar Constant • The Solar Constant Is the Amount of Energy We Receive From the Sun • The energy we receive from the sun is essential for all life on Earth • Solar Constant = F = 1360 J/m2/s – F = Energy Flux = Energy received in the form of radiation, per unit time and per unit surface area [J/s/m2] © Cengage Learning 2016 Acknowledgment • The slides in this lecture is for Tarleton: PHYS1411/PHYS1403 class use only • Images and text material have been borrowed from various sources with appropriate citations in the slides, including PowerPoint slides from Seeds/Backman text that has been adopted for class. © Cengage Learning 2016 8
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