Copy of HR Diagrams (1)

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Evergreen Valley College *

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MISC

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Astronomy

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Dec 6, 2023

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4

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HR Diagrams Background Information Before you begin, read through this background information related to the lab. Then complete the following: 1. The table below summarizes the relationship between spectral type, temperature, and color for stars. Use the background readings and the Star Color Slider to complete the empty portions of the table. (If you are running stuck, use this teacher video for help.) Star Surface Temp( K) Spectral Type Color Betelguese 3,530 M2 Red Arcturus 4,300 K5 Orange The Sun 5,830 G2 Yellow Procyon A 6,530 F5 Yellow-White Sirius A 9,145 A1 White Rigel A 11,000 B9 Blue-white Delta Orionis 33,200 O9 Blue 2. Complete the following table related to stellar luminosities in solar units using the equation L = R 2 T 4 . If you are having trouble using this equation, then watch the video Stellar Luminosity Table , where I walk through the calculations. Radius (R ) Temperature (T ) Luminosity (L ) 1 1 1 1 2 16.8 3.02 1 9 1 1/2 0.057 NAAP – HR Diagram Explorer 1 / 4
3. The mass luminosity relation describes the mathematical relationship between luminosity and mass for main sequence stars. It describes how a star with a mass of 2 M would have a luminosity of [ 11.3 ] L while a star with luminosity of 3,160 L would have an approximate mass of [ 10 ] M . (Are you lost on this question - no clue how to do it? Check out this brief video tutorial .) HR Diagram Explorer Open the HR Diagram Explorer . Begin by familiarizing yourself with the capabilities of the Hertzsprung-Russell Diagram Explorer through experimentation. (Running stuck on this section? Watch this teacher video for help.) An actual HR Diagram is provided in the upper right panel with an active location indicated by a red x. This active location can be dragged around the diagram. The options panel allows you to control the variables plotted on the x-axis: (temperature, B- V, or spectral type) and those plotted on the y-axis (luminosity or absolute magnitude). One can also show the main sequence, luminosity classes, isoradius lines, or the instability strip. The Plotted Stars panel allows you to add various groups of stars to the diagram. The Cursor Properties panel has sliders for the temperature and luminosity of the active location on the HR Diagram. These can control the values of the active location or move in response to the active location being dragged. The temperature and luminosity (in solar units) are used to solve for the radius of a star at the active location. The Size Comparison panel in the upper left illustrates the star corresponding to the active location on the HR Diagram. Note that the size of the sun remains constant. Exercises Drag the active location around on the HR Diagram. Note the resulting changes in the temperature and luminosity sliders. Now manipulate the temperature and luminosity sliders and note the corresponding change in the active location. 4. Check (with an “X”) the appropriate region of the HR diagram corresponding to each description below. Description Top Right Bottom Lef Hot stars are found at the: X Faint stars are found at the: X Luminous stars are found at the: X
Cool stars are found at the: X Drag the active location around on the HR Diagram once again. This time focus on the Size Comparison panel. 5. Check (with an “X”) the appropriate region of the HR diagram corresponding to each description below. Description Upper Lef Upper Right Lower Right Lower Lef Large Blue stars are found at the: X Small Red stars are found at the: X Small Blue stars would be found at the: X Really Large Red stars are found at the: X Check show isoradius lines . Note that at each point on a green line, stars have the same value of radius. Use these isoradius lines to check your answers in the table above. In addition to the isoradius lines, check show luminosity classes . This green region (dwarfs V) is known as the main sequence and contains all stars that are fusing hydrogen into helium as their primary energy source. Over 90% of all stars fall in this region on the HR diagram. Move the active cursor up and down the main sequence and explore the different values of stellar radius. 6. Describe the range of sizes of stars along the main sequence. What are stars like near the top of the main sequence, the middle, and the bottom? At the top of the main sequence, the stars are large in size, highest in temperature and luminosity, and are blue. At the middle of the main sequence, stars are mid-sized, lower in luminosity (in comparison to the stars at the top of the main sequence) and are closer to a white hue. The temperature is also more than half the temperatures of the top stars. The stars at the bottom of the main sequence are the smallest in size compared to the other locations in the main sequence, along with their luminosity and temperature being the lowest. They are also red/orange in color.
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Completing the Lab 1. Return to the course and complete the lab quiz to demonstrate your understanding. 2. Submit your completed lab document using your instructor’s online dropbox .