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Dark Matter Mathematics

Join NASA educator ambassador Janet Moore in an engaging workshop that delves into the mysteries of dark matter and its crucial role in shaping galaxies. Discover how orbital speed, influenced by gravity and mass, varies across the solar system and beyond. Through analyzing rotation and luminosity curves of galaxies like NGC 2742, participants will uncover evidence for dark matter and its components. With insights from NASA's Fermi mission and more, this workshop promises an enlightening exploration of our universe.

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Dark Matter Mathematics

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  1. Dark Matter Mathematics Janet Moore NASA Educator Ambassador

  2. Merry-Go-Round

  3. Merry-Go-Round

  4. Solar System

  5. Solar System

  6. Solar System

  7. Solar System

  8. In Summary - Solar System • Orbital speed depends on force of gravity • Force of gravity depends on mass within the radius • Therefore, orbital speed depends on mass within the radius

  9. What About Galaxies? • How would you expect stars to move around in a spiral galaxy? • What would you expect the mass distribution in a spiral galaxy to be?

  10. The Activity - NGC 2742 • You will be given: • Rotation Curve (velocity vs. radius) • Luminosity Curve (luminosity vs. radius) • Use the Data Chart to analyze the mass in the galaxy • G = 4.31 x 10-6

  11. Sample Data Chart

  12. Evidence for Dark Matter • Light (visible matter) drops off as you go farther out in a galaxy • BUT . . . Velocities do not drop off • Result: Dark Matter mass is about 10x Luminous Matter mass

  13. What is Dark Matter? • Baryonic (Normal) Matter: • Low mass stars, brown dwarfs (likely), large planets, meteoroids, black holes, neutron stars, white dwarfs, hydrogen snowballs, clouds in halo. • Non-Baryonic (Exotic) Matter: • Hot Dark Matter: fast-moving at time of galaxy formation, eg massive neutrinos • Cold Dark Matter: slow-moving at times of galaxy formation, eg WIMPs -- particle detector experiments looking for them

  14. NASA’s Fermi Mission • Formerly known as the GLAST mission • Launched June 11, 2008 • Studying gamma ray sources in the universe • Studying potential sources of dark matter in the universe

  15. Questions? Janet Moore JanetMoore@gmail.com epo.sonoma.edu My Other Workshops: NEWTON’S LAWS 11:00 am - Room 207 PI IN THE SKY 3:30 pm - Room 262

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