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Remote Sensing Activity : Physics from a Rocket-Borne Video Camera

Remote Sensing Activity : Physics from a Rocket-Borne Video Camera. Andrew Layden BGSU. ACTION Summer Bridge Program. July 22, 2010. Outline. Scientific Motivation Today’s Activity: Measure the height of rocket Measure size of other objects on ground Tomorrow’s Activity:

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Remote Sensing Activity : Physics from a Rocket-Borne Video Camera

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  1. Remote Sensing Activity:Physics from a Rocket-Borne Video Camera Andrew Layden BGSU ACTION Summer Bridge Program July 22, 2010

  2. Outline • Scientific Motivation • Today’s Activity: • Measure the height of rocket • Measure size of other objects on ground • Tomorrow’s Activity: • Find height of rocket on several frames • Determine its speed and acceleration • Share and discuss results

  3. Lunar Cratershttp://www.lpi.usra.edu/expmoon/science/craterstructure.html Copernicus Crater d = 93 km Moltke Crater 7 km in diameter Carroll & Ostlie, 1996, Modern Astrophysics

  4. Mars: Ridges in Gordii Dorsum Region

  5. Mars: Ridges in Gordii Dorsum Region http://mars.jpl.nasa.gov/mro/multimedia/images/?ImageID=3263 120 m

  6. Mercury: Crater Machaut http://www.nasa.gov/mission_pages/messenger/multimedia/flyby2_20081007_5.html Larger crater d = 100 km

  7. Scientific Motivation • How do we know these sizes? • No humans have been there • No robots on ground to measure • Remote Sensing: • Measure angles to determine sizes • Colors & spectra  surface composition • Texture/reflectivity • Changes over time • Orbiting spacecraft, airplanes, balloons

  8. Mathematical Relation? A = angle (degrees) d = distance (km) s = size (km)

  9. Mathematical Relation! A = angle (degrees) d = distance (km) s = size (km)

  10. Ways to play the eqn: • Know d (radar), measure A, compute s: • Know s (measured), measure A, compute d:

  11. Outline • Scientific Motivation • Today’s Activity: • Measure the height of rocket (d) • Measure size of other objects on ground • Tomorrow’s Activity: • Find height of rocket on several frames • Determine its speed and acceleration • Share and discuss results

  12. Day 1 • Look at video… • Think / plan: • What do we know on the ground (s)? • How do we measure A? • After 5-10 min, then return & share…

  13. Think / plan: • What do we know on the ground (s)? • How do we measure A? 10 ft 25 ft

  14. Measure sizes on computer screen: • object: xo • FOV: xfov

  15. Make a proportion:

  16. Solve for Ao:

  17. How big is Afov? • Calibrate • Known size (s) at a known distance (d) • Calculate A • Observe video 1 2 3 Afov

  18. Now your turn… • Follow steps (i)-(v) for Day 1 on handout. • Useful Equations:

  19. Outline • Scientific Motivation • Today’s Activity: • Measure the height of rocket (d) • Measure size of other objects on ground • Tomorrow’s Activity: • Find height of rocket on several frames • Determine its speed and acceleration • Share and discuss results

  20. Day 2 • Do some physics: • On one frame, measure d1 • On next frame, measure d2 • Difference: Dd = d2 - d1 • If we know the time between frames, Dt, we can calculate the rocket’s velocity: Dd d2 d1

  21. Day 2 v2 • If you have two velocities: • From d1 and d2, got v1 • From d2 and d3, got v2 • Difference: Dv = v2 - v1 • Calculate the rocket’s acceleration: v1

  22. Now your turn… • Follow steps (i)-(vi) for Day 2 on handout. • Useful Equations:

  23. Last 15 min • Organize your thoughts for class discussion. • Write your results on the board: • Times of observation (frame #s) • Velocities • Accelerations • What did we do right? Wrong? Next time? • What else could we do with videos?

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