Learn more about the Super Moon     phenomenon. Watch this         YouTube video.   http://youtu.be/kOplwuMTyS4
The Super MoonThe Moon’s elliptical orbit around the Earth makes it closer to Earth at itsperigee and farthest from Earth ...
Date               Distance (km)                                         2-Jan                    404589                  ...
Date         Distance (km)                                     2                   404589                                 ...
The Super MoonThe graph of the data shows how the distance from the Earth to the Moonis periodic.
Date         Distance (km)                                        2                   404589                              ...
Date         Distance (km)                                      2                    2.0186                               ...
3           2           1           0                0   50                     0   100                           0   150 ...
The Super MoonThe reason that a Super Moon is so rare is that the periods for the phasesof the Moon and its orbit differ b...
The Super MoonDo you plan on watching the next Super Moon?
Math in the News: Issue 57
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Math in the News: Issue 57

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In this issue of Math in the News we investigate the Super Moon phenomenon mathematically. For more math media resources, go to http://www.media4math.com.

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Math in the News: Issue 57

  1. 1. Learn more about the Super Moon phenomenon. Watch this YouTube video. http://youtu.be/kOplwuMTyS4
  2. 2. The Super MoonThe Moon’s elliptical orbit around the Earth makes it closer to Earth at itsperigee and farthest from Earth at its apogee.
  3. 3. Date Distance (km) 2-Jan 404589 17-Jan 369899 30-Jan 404325 11-Feb 367928 27-Feb 404842The Super Moon 10-Mar 362408 26-Mar 405744 7-Apr 358324This table shows the 22-Apr 406431distance from the Earth to 5-May 356964the Moon throughout 2012. 19-May 406439 3-Jun 358491Notice how the distances 15-Jun 405796vary, reflecting the changes 1-Jul 362366from apogee to perigee. 13-Jul 404793 29-Jul 367310 10-Aug 404122 23-Aug 369740 7-Sep 404303 18-Sep 365759 4-Oct 405183 16-Oct 360660 1-Nov 406066 14-Nov 357356
  4. 4. Date Distance (km) 2 404589 17 369899 30 404325 42 367928 58 404842The Super Moon 70 362408 86 405744 98 358324To graph the data let’s 113 406431convert the dates to 126 356964numerical values. January 140 406439 155 3584911 is assigned 1 and 167 405796December 31 is assigned 183 362366360. We can now graph 195 404793 211 367310this as a scatterplot. 223 404122 236 369740 251 404303 262 365759 278 405183 290 360660 306 406066 319 357356
  5. 5. The Super MoonThe graph of the data shows how the distance from the Earth to the Moonis periodic.
  6. 6. Date Distance (km) 2 404589 17 369899 30 404325 42 367928 58 404842The Super Moon 70 362408 86 405744 98 358324We can modify the data to 113 406431make it easier to graph. 126 356964The average distance from 140 406439 155 358491the Earth to the Moon is 167 405796384483 km. Let’s rescale 183 362366the data using this formula: 195 404793 211 367310 223 404122 236 369740 251 404303 262 365759 278 405183 290 360660 306 406066 319 357356
  7. 7. Date Distance (km) 2 2.0186 17 -1.4504 30 1.9922 42 -1.6475 58 2.0439 70 -2.1995The Super Moon 86 2.1341 98 -2.6079 113 2.2028Here is the rescaled data. 126 -2.7439 140 2.2036 155 -2.5912 167 2.1393 183 -2.2037 195 2.039 211 -1.7093 223 1.9719 236 -1.4663 251 1.99 262 -1.8644 278 2.078 290 -2.3743 306 2.1663 319 -2.7047 333 2.1963 347 -2.7319 360 2.1691
  8. 8. 3 2 1 0 0 50 0 100 0 150 0 200 0 250 0 300 0 350 0 400 0 -1 1 -2 2 -3 3The Super MoonHere is the graph of the rescaled data with the Super Moon highlighted.
  9. 9. The Super MoonThe reason that a Super Moon is so rare is that the periods for the phasesof the Moon and its orbit differ by about two days. These graphs show howthey quickly get out of phase, and it takes many periods for them tointersect. Super Moons happen about once a year.
  10. 10. The Super MoonDo you plan on watching the next Super Moon?
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