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

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team of russia

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?

plan of solution
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

polarized materials
Polarized materials

Nikita Shanin IYPT 2011 4

polarization of light wave
Polarization of light wave

– unpolarized wave

– plane-polarized (linearly polarized) wave

Nikita Shanin IYPT 2011 5

polarization methods
Polarization methods

transmission plane of linear polarizer

Oscillation’s direction

Initial wave

Final wave

Filter

Nikita Shanin IYPT 2011 6

polarization methods1
Polarization methods

Initial wave

2

1

Scattering medium

Dipole radiation

Plane-polarized wave

Nikita Shanin IYPT 2011 8

polarization methods2
Polarization methods

Initial wave

1

Scattering medium

Dipole radiation

Nikita Shanin IYPT 2011 8

physical model
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

hsb model
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

checking of the model in practice
Checking of the model in practice

Nikita Shanin IYPT 2011 11

checking of the model in practice1
Checking of the modelin practice

Nikita Shanin IYPT 2011 12

sun position definition
Sun positiondefinition

Nikita Shanin IYPT 2011 13

observation during overcast weather
Observation duringovercast weather

Nikita Shanin IYPT 2011 14

observation during overcast weather1
Observation during overcast weather

Nikita Shanin IYPT 2011 15

method s accuracy
Method’s accuracy

Brightness 49

Brightness 52

Nikita Shanin IYPT 2011 16

conclusion
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

reference
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