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Team of Russia

Presented by Nikita Shanin. Team of Russia. Problem №1 7 « Vikings » :

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Team of Russia

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  1. Presented by Nikita Shanin Team of Russia Problem №17 «Vikings»: According to a legend, Vikings were able to navigate in an ocean even during overcast (dull) weather using tourmaline crystals. Study how it is possible to navigate using a polarizing material. What is the accuracy of the method?

  2. Plan of solution Problem analysis Method’s accuracy estimation Conclusion Theory research Checking of the model in practice Physical model of the phenomenon Nikita Shanin IYPT 2011 2

  3. Polarized materials Nikita Shanin IYPT 2011 4

  4. Polarization of light wave – unpolarized wave – plane-polarized (linearly polarized) wave Nikita Shanin IYPT 2011 5

  5. Polarization methods transmission plane of linear polarizer Oscillation’s direction Initial wave Final wave Filter Nikita Shanin IYPT 2011 6

  6. Polarization methods Initial wave 2 1 Scattering medium Dipole radiation Plane-polarized wave Nikita Shanin IYPT 2011 8

  7. Polarization methods Initial wave 1 Scattering medium Dipole radiation Nikita Shanin IYPT 2011 8

  8. Physical model To identity the circle, which passes though a point of sun and arbitrary point: To analyze the arbitrary point using filter and to find the darkest filter position Perpendicular to oscillation plane shows the required circle Nikita Shanin IYPT 2011 9

  9. HSB model • Hue – vary from 0° up to 360° • Saturation –, vary from 0 up to 100 • Brightness –vary from 0 up to 100 Nikita Shanin IYPT 2011 10

  10. Checking of the model in practice Nikita Shanin IYPT 2011 11

  11. Checking of the modelin practice Nikita Shanin IYPT 2011 12

  12. Sun positiondefinition Nikita Shanin IYPT 2011 13

  13. Observation duringovercast weather Nikita Shanin IYPT 2011 14

  14. Observation during overcast weather Nikita Shanin IYPT 2011 15

  15. Method’s accuracy Brightness 49 Brightness 52 Nikita Shanin IYPT 2011 16

  16. Conclusion • It’s impossible to navigate according this method during overcast weather • Error of sun position detection amounts to about 27 degrees Nikita Shanin IYPT 2011 17

  17. Reference • Мякишев. Физика:Оптика 10-11 кл. 4-еизд. М:Дрофа, 2002; 480с. • Viking navigation hypothesis under foggy and cloudy skies requires more light (physorg.com, February 27,2007), www.physorg.com/pdf91798327.pdf • Leif K. Karlsen: Secrets of the Viking navigators (nordskip.com), http://www.nordskip.com/vkarlsen.html

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