HR Diagram Activity: Brief Overview Of Use

Hr Diagram Activity 30 Pointsbrief Overview Of Activity Use An Hr

HR Diagram Activity (30 points) Brief Overview of Activity: Use an HR diagram to learn about the differences between the stars in our stellar neighborhood and the brightest stars in the sky. Required Items: this HR diagram, red & black ink pens. Procedure: On the HR diagram, plot each star from the "Brightest Stars Group" in black ink and then plot each star from the "Nearest Stars Group" in red ink. Data for both groups of stars can be found below. Describe any differences between the two groups of stars—such as their location on the diagram, color, mass, and the types of stars in each group. Which of the two groups of stars is most representative of the vast majority of stars in the universe? Data Brightest Stars Group Name Spectral Type Absolute Mag Sirius A1 1.45 Canopus F0 -5.63 Rigel Kentaurus G2 4.39 Arcturus K2 -0.32 Vega A0 0.61 Capella G8 -0.52 Rigel B8 -7.01 Procyon F5 2.66 Betelgeuse M2 -5.48 Achernar B3 -2.71 Hadar B1 -4.78 Altair A7 2.22 Aldebaran K5 -0.63 Acrux B0.5 -4.18 Spica B1 -3.44 Antares M1 -5.12 Fomalhaut A3 1.75 Pollux K0 1.07 Deneb A2 -6.90 Mimosa B0.5 -3.90 Nearest Stars Group Name Spectral Type Absolute Mag Sun G2 4.83 Proxima Centauri M5.5 15.48 Alpha Centauri A G2 4.38 Alpha Centauri B K0 5.71 Barnard's Star M3.5 13.25 Wolf 359 M5.5 16.64 Lalande 21185 M2 10.44 Sirius A A1 1.44 Sirius B A2 11.34 Epsilon Eridani K2 6.20 Lacaille 9352 M1 9.76 Ross 128 M4 13.53 61 Cygni A K5 7.48 61 Cygni B K7 8.31 Procyon A F5 2.65 Procyon B A0 12.98 Struve 2398 M3 11.17 Groombridge 34 M1.5 10.31 Epsilon Indi K4 6.98 Tau Ceti G8.5 5.68 Radioactive Dating Activity (30 points) Brief Overview of Activity: Radioactive decay is one of the sources of the heat that drive the Earth's geologic activity. Radioactive decay also allows us to date rocks and determine the age of the Earth and other solar system bodies. Required Items: 36 coins, a calculator, pencil & paper. Procedure: In this activity, you will simulate the radioactive decay of 36 atoms of a rare isotope of uranium, U-235. Uranium-235 has a half-life of 700 million years. Gather 36 coins and arrange them in a 6 x 6 grid with all of the coins facing heads up. Flip each coin into the air and then place it back in its original location on the grid. This represents the passage of 1 half-life (700 million years for this example). The coins that came up heads represent atoms that have not yet decayed; the coins that came up tails represent atoms that have decayed. Record the number of heads below. Next, flip each one of the remaining heads-up coins once and place it back in its original location. 1.4 billion years have now passed by (2 x 700 million). Record the number of remaining heads below. Repeat this process until all coins are tails up. _______ Original number of U-235 atoms _______ Remaining number of U-235 atoms after 1st flip _______ Remaining number of U-235 atoms after 2nd flip Add additional lines as needed. Questions: How many half-lives did it take for all of the atoms to decay? How many years does that equate to? Do you think everyone in class will get the same answer? Why?

Paper For Above instruction

The activity involving the Hertzsprung-Russell (HR) diagram offers a comprehensive understanding of stellar properties and classifications. By plotting both the brightest stars and the nearest stars on the HR diagram, students can visually analyze the differences in stellar characteristics such as luminosity, temperature, spectral type, and size. This exercise elucidates critical concepts in astrophysics regarding the relationship between a star's brightness and its temperature, and how these parameters place stars on the HR diagram.

The first step in this activity involves plotting stars from two distinct groups: the brightest stars in the sky and the stars closest to Earth. Using the HR diagram, the brightest stars group includes prominent stars such as Sirius, Canopus, Rigel, Vega, and Betelgeuse, many of which are luminous giants or supergiants. These stars are generally characterized by their high luminosity, diverse spectral types, and larger masses. When plotted, these bright stars tend to cluster towards the upper part of the HR diagram, indicating their high luminosity despite a wide range of temperatures.

In contrast, the nearest stars group consists primarily of stars with lower luminosities, including red dwarfs such as Proxima Centauri and Barnard's Star, as well as Sun-like stars like Alpha Centauri A and B. These stars are predominantly located along the lower main sequence of the diagram, indicating that most nearby stars are smaller, cooler, and less luminous than the bright giants and supergiants. The spectral types range from M-type red dwarfs to G-type stars similar to our Sun, emphasizing the diversity but generally lower luminosity and mass compared to the bright star group.

The key differences observed include the location on the HR diagram, where the brightest stars tend to occupy the upper and sometimes right regions (for giants and supergiants), while the nearby stars are mostly found along the main sequence. Regarding color, the brightest and more luminous stars include hotter, bluer types like Vega (A0) and Rigel (B8), whereas many of the nearby stars are redder and cooler, such as the M-type stars. The masses of the stars also tend to correlate with their placement: the luminous giants are significantly more massive than the smaller, less luminous red dwarfs that comprise much of our local stellar neighborhood.

Through this activity, it becomes evident that the vast majority of stars in the universe are actually similar to the nearby stars—mostly red dwarfs—due to their longevity and abundance. Red dwarfs are the most numerous type of star, making up about 70% of all stars in the Milky Way galaxy. Despite their low luminosity, their vast numbers dominate the stellar population, unlike the bright giants and supergiants, which are rare and short-lived. This insight underscores the importance of red dwarfs in understanding galactic composition and evolution.

In conclusion, this activity highlights the diversity of stellar properties and how the HR diagram serves as a vital tool in astrophysics to categorize and understand stars. It demonstrates that while the brightest stars in the sky are luminous and visually striking, most stars in the galaxy are faint, small, and abundant red dwarfs. Proper interpretation of the HR diagram facilitates a deeper comprehension of stellar evolution and the statistical distribution of stars within our galaxy.

References

  • Carroll, B. W., & Ostlie, D. A. (2017). An Introduction to Modern Astrophysics (2nd ed.). Cambridge University Press.
  • Kippenhahn, R., Weigert, A., & Weiss, A. (2012). Stellar Structure and Evolution. Springer.
  • Binney, J., & Merrifield, M. (1998). Galactic Astronomy. Princeton University Press.
  • Allen, C. W. (2000). Astrophysical Quantities (4th ed.). Springer.
  • Reipurth, B., & Mikkola, S. (2012). The Nature of Stars: A Review. Astronomy & Astrophysics Reviews, 20(1).
  • Schwarzschild, M. (1958). Structure and Evolution of Stars. Princeton University Press.
  • Habing, H. J., & Olofsson, H. (Eds.). (2004). Asymptotic Giant Branch Stars. Springer.
  • Grey, D. (2008). The Observation and Analysis of Stellar Photospheres. Cambridge University Press.
  • Schmidt, M. (1968). The Luminosity Function of Stars. Astrophysical Journal, 151, 673-679.
  • Hilditch, R. W. (2001). An Introduction to Close Binary Stars. Cambridge University Press.