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ASTR2050 Spring 2005 Lecture 11am 8 February 2005 In this class we will ... • Review what we’ve learned about stars • Study The Sun 1 What we can measure about stars (1) “Temperature” More properly “Effective Surface Temperature” The “old” way: Spectral Classification i.e. O,B,A,F,G,K,M with numerical sub-classes The “modern” way: Color Index Uses color filter bands U,B,V,R,I (V=“Visual”) Index based on difference of filtered magnitudes e.g. mB − mV = MB − MV = B −V 2 (2) “Brightness” The appropriate physical quantity is “Luminosity” Relative brightness: Magnitude m1 − m2 = 2.5 log10( f2/ f1) Standard brightness: Absolute magnitude m − M = 2.5 log10(d/10 pc) 2 Convert to luminosity: Bolometric magnitude MBol (!) − MBol (!) = 2.5 log10 [L(!)/L(!)] 2 4 L = (4!R )("T ) These are related to stellar radius by Note:We cannot measure stellar mass or radius directly! 3 Hertzprung-Russell (HR) Diagram 4 Binary Star Systems Two stars in orbit about their common center of mass Various types of binary stars. Doppler shifts give velocity Orbital mechanics give the masses of the two stars Eclipses allow determination of individual stellar radii See Studio Laboratory this Friday 5 Example: Sirius (Alpha Canis Majoris) The brightest star in the sky is actually two stars! The Orbit Sirius A: A1 Main Sequence star SiriusB: White dwarf Visual X-ray Lots of X-rays from Sirius B 6 Luminosity (in solar luminosity) Example: Masses of stars “Mass Luminosity Relation” “Massive stars are much, much brighter than lighter stars.” An important goal of our study of stellar structure will be to understand how this relation comes about. Mass (in solar masses) 7 The Sun A model for studying stars! The Solar spectrum Recent photo in H-α 8 Basic Internal Structure of the Sun 9 Doppler Broadening of Spectral Lines Maxwell-Boltzmann distribution of molecular velocities Heat energy realized as random motion: 1 3 2 m!v " = kT 2 2 This “broadens” spectral lines by Doppler Shift: !" = " Speed (m/sec) 10 ! !v2" vrms ≡ c c Sunspots: Cooler Regions and Magnetic Fields 11 Solar Rotation “Differential Rotation”: See Kutner Fig.6.25 12