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Surveying Outer Space

Surveying Outer Space. By Eddie Minaya, Raman Allawirdi John Jacobson, Luis Flores. Space. Mathematics and its application to surveying outer space. Purpose? To answer some of the most profound questions in history. The Radius of the Earth.

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Surveying Outer Space

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  1. Surveying Outer Space By Eddie Minaya, Raman Allawirdi John Jacobson, Luis Flores

  2. Space • Mathematics and its application to surveying outer space. • Purpose? • To answer some of the most profound questions in history.

  3. The Radius of the Earth • One of the first questions was asked by Eratosthenes a Greek astronomer, geographer, and librarian.

  4. Eratosthenes assumed that the earth was a perfect sphere. • He also used Alexandria and Syene as two points for measurement. • He knew that from Alexandria and Syene was 5,000 stadia (approximately 600ft.)

  5. C = 2pr • s/c=angle/360 • 5,000/C = 7/360 • 5,000/2pr = 7/360

  6. Radius = 39,789 stadia • Thus his approximation of the earth’s radius is 4,574 miles. • Today's accepted radius is 3,963 miles and 13.5 miles less at the poles.

  7. Distance From The Earth To The Moon Its All Basic Geometry

  8. Before Measuring You Need To Assume Two Things • We know the radius of the earth is approximately 3.963 miles. • We have to assume that the earth is perfectly spherical.

  9. Johannes Kepler • 1st law • 2nd law • 3rd law

  10. Ellipses Ellipse - set of all points in a plane, the sum of whose distances form two fixed points in the plane is constant.

  11. Orbits and Effects on Time • The larger the orbit the longer the year 1 Mars Year = 365/N(365+N)earth days (N=the number of extra days it takes the Earth to catch up to Mars after the next synod)

  12. Mars Year • 322 Days to catch up to Mars • 1 Mars Year = 365/322(365+322) earth days • 1.13(687) earth days • 1 Mars Year = Approximately 776 earth days

  13. Parallax • The (apparent) displacement of a fixed object with respect to background. • Caused by displacement of the observer.

  14. Using Parallax Measurements to Determine the Distance to Alpha Centauri

  15. Works Cited • "April 2007." Life in the Land of the Rising Sun. Web. 07 July 2010. <http://litlotrs.blogspot.com/2007_04_01_archive.html>. • Brinkworth, Carolyn, and Claire Thomas. "Faulkes Telescope Educational Guide - Stars - An Overview." University of Leicester. 1 July 2001. Web. 13 July 2010. <http://www.le.ac.uk/ph/faulkes/web/stars/r_st_overview.html>. • "May 2008." Infidelicacy. Web. 07 July 2010. <http://infidelicacy.blogspot.com/2008_05_01_archive.html>. • Penna, Michael A. Surveying Outer Space: Applications of Trigonometry to Astronomy / by Michael A. Penna. Newton, MA: Edc/umap, 1982. Print. • "Long Waves of Time." Visual Statistics with Multimedia. Web. 07 July 2010. <http://www.visualstatistics.net/East-West/Long Waves of Time/Long Waves of Time.htm>. • "Groundwater/Surface Water Quantity: Water Quantity & Hydrology - Hydrologic Cycle - Alberta Environment." Government of Alberta. Web. 14 July 2010. <http://www3.gov.ab.ca/env/water/GWSW/quantity/learn/what/HC_Hydrocycle/HC1_what _is.html>. •  "Space Wallpaper - Earth and Moon Wallpaper." Desktop Wallpaper for Computer, IPhone, PSP, IPad Also Screensaver M.m. Web. 14 July 2010. <http://www.desktopexchange.com/gallery/Space_wallpaper/Earth_moon>.

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