Dark Matter Mathematics Janet Moore NASA Educator Ambassador Janet Moore NASA Educator Ambassador.

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Dark Matter Mathematics Janet Moore NASA Educator Ambassador Janet Moore NASA Educator Ambassador

Merry-Go-Round

Solar System

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

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

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

Sample Data Chart RadiusRot. Vel. Grav. Mass Lum.Lum. Mass Lum/ Grav e93 e86 e e91 e92 e e102 e94 e e103.5 e97 e90.19

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

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

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

Questions? Janet Moore epo.sonoma.edu My Other Workshops: NEWTON’S LAWS11:00 am - Room 207 PI IN THE SKY3:30 pm - Room 262 Janet Moore epo.sonoma.edu My Other Workshops: NEWTON’S LAWS11:00 am - Room 207 PI IN THE SKY3:30 pm - Room 262