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Dark Matter Mathematics

Dark Matter Mathematics. Janet Moore NASA Educator Ambassador. Merry-Go-Round. Merry-Go-Round. Solar System. Solar System. Solar System. Solar System. In Summary - Solar System. Orbital speed depends on force of gravity Force of gravity depends on mass within the radius

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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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