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A105 Stars and Galaxies Today’s APOD News Quiz Today Jewelbox homework due Thursday Announcements… • Kirkwood Obs. open Weds night 8:30-10:30 PM • Rooftop Sessions, Oct. 10 & 11, 9:00 PM • Remote Obs Oct. 14 @ 10 PM and Oct. 16 @ 7 AM The Sun Today • Image credit: Solar Orbiting Heliospheric Observatory/MDI Not very interesting today! Stars Basic Properties of Stars distance brightness diameters The Hertzsprung-Russell Diagram The Brightness of Stars • Apparent brightness – how bright does it look in the sky? • Absolute brightness – how bright is it really?? • The apparent brightness depends on both a star’s distance and its intrinsic brightness The Inverse Square Law tells us how a star’s apparent brightness changes with distance • Brightness decreases as distance squared – something twice as far away will be four times fainter – something 10 times further away will be 100 times fainter – something 1000 times further away will be a million times fainter How Far Away Are Stars? If we know a star’s apparent AND absolute brightness, we can calculate its distance brightness changes as 1/distance2 The inverse square law describes how the brightness of a source light (a star!) diminishes with distance But how do we get the distances to stars whose brightness we DON’T know? Measuring the distances to stars using Parallax Measuring the distances of stars Parallax : apparent change in the position of an object due to a change in the position of the observer Stellar parallax uses the Earth’s orbit as the baseline Parallax What is a Parsec??? Parsec: the distance to an object with a stellar parallax of one arc second A star at a distance of 1 parsec shows a parallax of 1 arc second 1 parsec = 3.26 light years A parallax of ~0.001 arc seconds is the smallest we can measure How big is one arc second? The size of a dime at a distance of 2.3 miles! The parallax of Alpha Centauri = 0.76 arcseconds How Big Are Stars? We can’t see the stars’ diameters through a telescope. Stars are so far away that we see them just as points of light. If we know a star’s temperature and its luminosity, we can calculate its diameter. How do we determine a star’s temperature? Luminosity depends on…. TEMPERATURE the hotter a star is, the brighter it is. DIAMETER – the bigger a star is, the brighter it is. Stars range in size from about the size of the Earth to hundreds of times the Sun’s diameter Magnitudes • Astronomers use “magnitudes” to describe how bright stars are • Small numbers are brighter, large numbers fainter. • The brightest naked-eye stars are around magnitude zero. • The faintest naked-eye stars are around magnitude six • 5 magnitudes are a factor of 100 in brightness (a 6th magnitude star is 100 times fainter than a 1st magnitude star) But only certain sizes and colors are allowed! Stars come in many sizes and colors HR Diagram Simulator Key Ideas – The HR Diagram • The intrinsic brightness or luminosity of stars depends on temperature and radius • if two stars have the same radius, the hotter one is brighter • if two stars have the same temperature, the bigger one is brighter • The Hertzsprung-Russell Diagram • relates the temperature and brightness of stars The Main Sequence BRIGHTNESS The sun is an ordinary, yellow main sequence star TEMPERATURE Giants and Supergiants are cooler and very large Supergiants BRIGHTNESS Giants White dwarfs are small and hotter TEMPERATURE Most stars occur in these main groups in the luminositytemperature diagram BRIGHTNESS Main Sequence Giants Supergiants White Dwarfs TEMPERATURE Quiz: Which star is the biggest? BRIGHTNESS A B C D TEMPERATURE Quiz: Which star is the smallest? BRIGHTNESS A B C D TEMPERATURE The Nearest and the Brightest Goal: – to learn about types of stars – to explore the stars near the Sun and compare them to the stars we see in the sky Task: – plot a Hertzsprung-Russell diagram including both the nearest stars and the brightest stars in the northern sky Familiar Stars 1000 ly A little farther out The Brightest Stars in the Sky (no need to copy these down!) Star Distance (LY) Temperature (K) Absolute Magnitude Sun 0.000015 5800 4.8 9 9600 1.4 232 7600 -2.5 Alpha Cen A 4 5800 4.4 Arcturus 37 4700 0.2 Vega 25 9900 0.6 Capella 42 5700 0.4 Rigel 773 11000 -8.1 Procyon 11 6600 2.6 Achernar 144 22000 -1.3 Betelgeuse 427 3300 -7.2 Hadar 335 25000 -4.4 Acrux 321 26000 -4.6 Altair 17 8100 2.3 Aldebaran 65 4100 -0.3 Antares 604 3300 -5.2 Spica 263 2600 -3.2 Pollux 34 4900 0.7 Sirius Canopus Hertzsprung Russell Diagram - Brightest Stars -10 -5 Absolute Magnitude Plot Absolute Magnitude vs. Temperature 0 5 10 15 20 30000 25000 20000 15000 10000 Temperature (K) 5000 0 The Nearest Stars Distance (LY) Temperature Absolute Magnitude Prox Cen 4 2800 15.53 Alp Cen A 4 5800 4.4 Alp Cen B 4 4900 5.72 Barnard’s 6 2800 13.23 Wolf 359 7.5 2700 16.57 Lal 21185 8 3300 10.46 Sirius A 9 9900 1.45 Sirius B 9 12000 11.34 Luyten 726-8A 9 2700 15.42 UV Ceti 9 2600 15.38 Ross 154 10 3000 13.14 Star The Nearest Stars Hertzsprung Russell Diagram -5 Absolute Magnitude Adding the Nearest Stars to the HR Diagram -10 0 5 10 15 20 30000 25000 20000 15000 10000 Temperature (K) 5000 0 Hertzsprung Russell Diagram -10 -5 Absolute Magnitude The HR Diagram Giants and Supergiants 0 5 Main Sequence 10 White Dwarf 15 20 30000 25000 20000 15000 10000 Temperature (K) 5000 0 Key Ideas – Stellar Census • Comparison of Main Sequence, Giant, and White Dwarf Stars • The Family of Stars • What are the most/least common kinds of stars? • Why are red dwarfs so common? The brightness of a star depends on distance, luminosity, and temperature Most luminous stars: 106 LSun Least luminous stars: 10-4 LSun (LSun is luminosity of Sun) Most massive stars: 100 MSun Least massive stars: 0.08 MSun (MSun is the mass of the Sun) Main-Sequence Star Summary High Mass: High Luminosity Short-Lived Large Radius Blue Low Mass: Low Luminosity Long-Lived Small Radius Red Stellar Properties Review Luminosity: from brightness and distance 10-4 LSun - 106 LSun Temperature: from color and spectrum 3,000 K - 50,000 K Mass: from binary-star orbits 0.08 MSun - 100 MSun Constructing an HR Diagram Apparent Magnitude 0 5 10 15 -0.5 0 0.5 B-V Color 1 1.5 2 What’s this B-V color? • Astronomers measure the brightness of stars in different colors – Brightness measured in blue light is called “B” (for “Blue”) – Brightness measured in yellow light is called “V” (for “Visual) • Astronomers quantify the “color” of a star by using the difference in brightness between the brightness in the B and V spectral regions • The B-V color is related to the slope of the spectrum The slope of the spectrum is different at different temperatures Homework #7 Due THURS. Events this week Rooftop Oct 10 & 11 Kirkwood Open Night Oct. 11 Remote Observing Oct 14 & 16