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Announcements • Exam Grades Wednesday March 31 • Angel Grade update Friday April 2 • Star Assignment 6, due Wednesday March 31 Do Angel quiz, Objectives • Plot an Hertzsprung-Russell Diagram • Locate the regions of giant, main sequence and white dwarf stars. • Describe the relations between surface temperature, luminosity, mass and size for these types of stars. • Describe the evolutionary state of the 16 brightest northern-hemisphere stars. What should we do with our information? • Luminosities • Surface Temperatures • Masses Number of Stars vs Luminosity 100 HIGH 1 0.01 Luminosity 0.0001 LOW Stellar Masses What should we do with our information? • Luminosities • Surface Temperatures • Masses Look for Relationships No Relationship Luminosity - Mass Relation HR Diagram: Luminosity vs. Surface Temperature Luminosity Temperature Relation: HertzsprungRussell Diagram Luminosity Recall: Hotter -> Brighter Hotter -> Bluer Bigger -> Brighter Temperature Then cool + Luminous -> Large Luminosity Recall: Hotter -> Brighter Hotter -> Bluer Bigger -> Brighter Temperature Then small Luminosity + Hot -> small Stellar Size, Mass & HR Diagram Large radius Small radius Stars with low temperature and high luminosity must have large radius SUPERGIANTS GIANTS WHITE DWARFS Stars with low temperature and high luminosity must have large radius High-Mass Stars Low-Mass Stars Most Low Mass stars have Small Luminosity Most Large Mass stars have Large Luminosity Regions of the H-R Diagram Activity • Answer the questions on your scantron sheet C Luminosity B 1. Which star is the hottest? D A Temperature C Luminosity B 1. Which star is the hottest? D A Temperature A C Luminosity B 2. Which star is the most luminous? D A Temperature C Luminosity B 2. Which star is the most luminous? D A Temperature C C Luminosity B D A Temperature 3. Which star is a mainsequence star? C Luminosity B D A 3. Which star is a mainsequence star? D Temperature C Luminosity B 4. Which star has the largest radius? D A Temperature C Luminosity B 4. Which star has the largest radius? D C A Temperature A Luminosity D B C Temperature 5. Which star is most like our Sun? A Luminosity D 5. Which star is most like our Sun? B B C Temperature BRIGHT HOT COOL FAINT HR Diagram Astronomy Place Questions 6. Spica is a Main Sequence star, having a surface temperature of 26,000K. In order for a star with a surface temperature of only 6,000K to have the same Luminosity as Spica, its radius must be? Luminosity = 4pR2sT4 If T ~ 4 x smaller, then R ~ 42 x larger = 16x 7. The rate of fusion (number of He nuclei produced per second) in the core of the star Vega (a main-sequence star with a temperature of about 10,000K is roughly? Lvega = 60 Lsun, so rate of energy generation = rate of energy loss is 60 x larger than Sun’s 8. A star having the same radius as the Sun, but a surface temperature 5 times higher than the Sun, would have a luminosity? L ~ T4 54 = 625 9. A main-sequence star that is twice as massive as the Sun will have a Luminosity? L ~ M3. 5 23 = 8, 24 = 16, so 23.5 in between Lifetime on the Main Sequence How long will it be before MS stars run out of fuel? i.e. Hydrogen? How much fuel is there? M How fast is it consumed? LM 3.5 How long before it is used up? M/L = M/M 3.5 -2.5 =M Main Sequence Lifetimes Lifetime on the Main Sequence • O & B Dwarfs burn fuel like a bus! • M Dwarfs burn fuel like a compact car! 10 • Our Sun will last 10 years on the Main Sequence • MS Lifetime = 1010 yrs / M2.5 Stars occur alone or in clusters another type of cluster Star Clusters • Stars approximately the SAME AGE • Stars approximately the SAME DISTANCE Cluster HR Diagrams Same Distance Same Age Pleiades now has no stars with life expectancy less than around 100 million years Main-sequence turnoff Detailed modeling of the oldest globular clusters reveals that they are about 13 billion years old Cluster Ages Activity • Answer the questions on your scantron sheet A Luminosity D B C Temperature 6. Which of these stars will have changed the least 10 billion years from now? A Luminosity D B C Temperature 6. Which of these stars will have changed the least 10 billion years from now? C A Luminosity D B C Temperature 7. Which of these stars can be no more than 10 million years old? Luminosity A D 7. Which of these stars can be no more than 10 million years old? C A B Temperature A stars properties depend mostly on 1. Mass 2. Age NEXT TIME • Evolution of Stars • READ chapter 17