spacemath@nasa : putting the ‘n’ back in stem asp annual meeting august 3, 2011 dr. sten...
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SpaceMath@NASA :SpaceMath@NASA :
Putting the ‘N’ back in STEMPutting the ‘N’ back in STEM
ASP Annual Meeting August 3, 2011ASP Annual Meeting August 3, 2011
Dr. Sten Odenwald Dr. Sten Odenwald (NASA / ADNET)(NASA / ADNET)
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National Council of Teachers of Mathematics:
"We live in a mathematical world. In such a world, those who understand and can do mathematics will have opportunities
that others do not.
Mathematical competence opens doors to productive futures.
A lack of mathematical competence closes those doors."
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http://spacemath.gsfc.nasa.gov
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Mathematics in the News
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Scale = 10 km / centimeter Smallest crater = 1 mm or 1 kilometer!
Dawn Spacecraft and Asteroid Vesta
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Distance traveled = 2.8 billion km
Time = 4 years
2.8 billion km
Speed = ---------------------- = 700 million km / year 4 years
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Distance traveled = 2.8 billion km
Time = 4 years
2.8 billion km
Speed = ---------------------- = 700 million km / year 4 years
Unit Conversion to km/hour
700 million km 1 yr 1 day-------------------------- x --------------- x -------------- = 79,900 km/hr 1 year 365 days 24 hours
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Bizarro solar system with cubical star and planet!
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Bizarro solar system with cubical star and planet!
From Earth, the transiting planet dims the starlight during its transit.
The fraction of starlight dimming is just given by the ratio of their projected cross-sections:
Star = 16Planet = 4
Ap 4--- = -----A* 16
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From Earth, the transiting planet dims the starlight during its transit.
The fraction of starlight dimming is just given by the ratio of their projected cross-sections:
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The star HAT-P-7
Distance 320 parsecsMass 1.5 sunsTemperature 6350 KRadius 1.2 million km
The graph shows that the star dimmed to 0.9930 from an initial brightness of 1.0000
What is the radius of the transiting planet?
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Initial brightness 1.0000Final brightness 0.9930
Dimming = 0.007Rs = 1.2 million km
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Our answer = 100,000 km.
Jupiter R = 71,000 km
So we got : 1.4 times Jupiter.
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NASA Research finds 2010 Tied for Warmest Year on Record (January 12, 2011) 'The analysis found 2010 approximately 1.13° F warmer than the average global surface temperature from 1951 to 1980. To measure climate change, scientists look at long-term trends. The temperature trend, including data from 2010, shows
the climate has warmed by approximately 0.36 °F per decade since the late 1970s. 'If the warming trend continues, as is expected, and if greenhouse gases continue to increase, the 2010 record will not stand for long,' said James Hansen, the director of the NASA, Goddard Institute for Space Studies."
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+0.61 +0.15Slope = -------------------- so rate = +0.19 C / decade 4 decades F = 9/5 C + 32
so rate = 9/5 (+0.19) = +0.34 F/decade
NASA Research finds 2010 Tied for Warmest Year on Record (January 12, 2011) 'The analysis found 2010 approximately 1.13° F warmer than the average global surface temperature from 1951 to 1980. To measure climate change, scientists look at long-term trends. The temperature trend, including data from 2010, shows
the climate has warmed by approximately 0.36 °F per decade since the late 1970s. 'If the warming trend continues, as is expected, and if greenhouse gases continue to increase, the 2010 record will not stand for long,' said James Hansen, the director of the NASA, Goddard Institute for Space Studies."
P1 (1970 ,-0.15 C)P2 ((2010,+0.61 C)
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2050
+0.9 C
Manual forecasting with a ruler
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y2 – y1Y – y1 = -------------- (X – x1) so y = +0.0068 X – 13.06 x2 – x1
For x = 2050 we have y = 0.0068(2050) – 13.06 = +0.88 C ( +1.6 F)
Forecasting with algebra
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Space Math @ NASA
http://spacemath.gsfc.nasa.gov
Hundreds of problems for grades 3-12New ones added every week as
new press releases appearand my medication starts working
Dr. Sten [email protected]