Lab9 Exercise

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Sam Houston State University *

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1403

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Astronomy

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Dec 6, 2023

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docx

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7

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the Milky Way L AB 9 M ILKY W AY G ALAXY P ART I: E STIMATING THE LOCATION OF THE G ALACTIC C ENTER The diagram above represents a view of Earth from outside the Milky Way, looking down at the Earth’s North Pole. Earth is at the center, the lines show the various directions of right ascension, and each circle represents two kiloparsecs of distance from the Earth. (On this scale, the Earth would be a VERY tiny point at the center.) The locations and distances for a sample of globular clusters are plotted. NOTE: There are globular clusters 1
the Milky Way located even farther away from Earth, but are not included in the plot below. Because of this, the distance you estimate to the center of the galaxy will be an underestimate . Q1: With an uncertainty of ±1 hour, what is the right ascension of the galactic center? Place an “X” at the location of the galactic center. a. 18 Hours Below is a diagram that views the Earth from the side, looking down at its equator (the North Pole points up, and the South Pole points down). Again, Earth is a tiny dot at the center, and each circle represents two kiloparsecs in distance, but this time, directions are degrees of declination. The same sample of globular clusters is plotted again with declination against their distance in this diagram. Q2: With an uncertainty of ±10 degrees, what is the declination of the galactic center? Place an “X” at the location of the galactic center. 2
the Milky Way a. -30 degrees Q3: Based on both diagrams , what is the approximate distance to the galactic center? a. RA: 18 hrs, DEC: -30 Degrees P ART II: T HE G ALACTIC D ISK AND H ALO Distribution of Globular Clusters and Young Star Groups on the Sky Young Star Groups Globular Clusters 180 o 180 o o 90 270 150 o o o 120 210 o o +20 o 240 +40 o o +60 o o +80 o +90 o o −80 o −90 o 300 −20 o 60 −40 o 330 −60 o o 0 30 o x x x x x x x x x x x x x x x x x x x x x x x x x x The plot above compares the distributions in the sky of two classes of objects: globular clusters and groups of young stars. This plot represents the whole sky, plotted in a different “latitude-longitude” coordinate system, where the origin of the plot is the direction to the center of the Galaxy (which you just found the coordinates of in the RA and Dec. system). “Longitude” is measured along the plane of the Galaxy, in degrees ranging from 0 (at the center) to 180 (opposite from the center) to 360 (back to the center). “Latitude” is measured above and below the plane of the Galaxy in degrees and ranges from: 0 on the plane of the galaxy to +90 directly above the plane, and −90 below the plane. 3
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the Milky Way Q4: Compare the distribution of globular clusters with that of the young groups of stars. (Are the two groups spread evenly over the sky or are they clustered in specific parts of the sky?) a. They are concentrated regions of the sky. The younger star groupings are grouped along the galaxy's longitude, whereas globular clusters are mostly concentrated up and down on its latitudes. Q5: Which group would you study to learn about the properties of the disk of our Galaxy and why? Which group would you study to learn about the halo of our Galaxy and why? a. According to the characteristics of the disk, the young star group. Q6: In the Pleiades lab you found the age of the Pleiades, a “young” open cluster. Compare that to the ages of globular clusters, which are typically around 10 billion years old. If these clusters are considered typical representatives of the different types of clusters, based on this information and your answer to the previous question, what can you conclude about the relative ages of the halo and disk of our Galaxy? A. The Pleiades cluster is far younger than the globular clusters, which are 10 billion years old, at only 100 million years. P ART III: A S CALE M ODEL OF THE M ILKY W AY Assuming that young groups of stars trace the structure of our Galaxy’s disk, then by examining their distribution, we can study the structure of the disk of our Galaxy. The following plot shows the spatial distribution of young star groups around the Sun. At the center of the graph is the Sun. Distance away from the Sun is plotted radially in kiloparsecs (kpc). Around the circle are angles measured along the plane of the Galaxy away from the galactic center (0 represents the direction to the center of the Galaxy, 180 represents the direction exactly opposite the center of the Galaxy). Think of this plot as a “picture” looking down on a little piece of the disk of our Galaxy from far above the Sun. 4
the Milky Way Our Galaxy is classified as a spiral galaxy. This means that the disk of the galaxy is in the shape of a “spiral,” “vortex,” or “whirlpool.” So within the disk of our Galaxy there are spiral arms, which are long streams of denser concentrations of stars, gas, and dust. Q7: In the diagram of young star groups near the sun, on the previous page, there are stars from parts of three different spiral arms near the sun. Mark the locations of the three spiral arms in that diagram. Below is a table with a list of a few of the brightest stars in the sky. Star Distance from Sun (in pc) Galactic Longitude (l) Sirius 2.8 226 5
the Milky Way Vega 8.0 68 Spica 79.8 317 Rigel 248.5 209 Deneb 429.4 85 Q8: Plot the positions of these 5 stars on the diagram on the previous page, remembering to convert distances from parsecs to kiloparsecs. Deneb is one of the farthest stars that we can see with the unaided eye. Q9: Based on this, how would you describe the location of the individual stars that we can see with the unaided eye in relation to the scale of the galaxy? Where do they seem to be located? a. They are all near the center of the sun With more powerful instruments, we can see groups of stars out to an even further distance. The diagram on the previous page represents the extent to which we can view all stars in the sky. The circle on the accompanying worksheet represents the entire disk of our Galaxy viewed from above. The actual radius of this disk is about 15 kpc. To scale, add and label the following structures to complete this scale model of the Galaxy: 1. the central spherical bulge (radius = 1 kpc), 2. the position of the Sun (you found this earlier), 3. a circle representing the extent of the young star groups near the Sun from the figure on page 92 and the location of the three spiral arms within this circle (NOTE: all of the stars we can see in the sky with a telescope are contained within this circle). Create and label an edge-on view of this model to scale below. Include: the thick- ness of the disk and bulge (the disk is about 0.6 kpc thick and the bulge is about 0.8 kpc thick), and the location of the Sun. Evidence suggests that a supermassive black hole is located at the center of our galaxy. While we cannot see it, we can observe energy being emitted from material falling into it, and also observe the motion of stars orbiting around it. From this we can determine that the mass of the supermassive black hole must be around three million solar masses (3 x 10 6 M ). While theoretically the entire mass of a black hole is compressed into zero space, we define the extent of a black hole by its event horizon, the distance away from a black hole from which light can barely escape. This is also known as the Schwarzchild radius. The Schwarzchild radius (R) of a black hole (the radius of its “event horizon”) is related to its mass (M) by the formula: 6
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the Milky Way R = 2 GM c 2 where G = 6.67 × 10 −11 m 3 /kg/s 2 , c = 3.0 × 10 8 m/s and 1M = 2.0 × 10 30 kg Q10: Given the mass of the supermassive black hole in the center of our Galaxy, determine its Schwarzchild radius. a. R= 8.004 x 10^24 Q11: How large is this in kiloparsecs (1 kpc = 3.09 × 10 19 m)? Indicate the location and size of the black hole (to scale) on your drawing on the previous page. a. 2.473236 X 10^59 7