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Autor/inBarman, Farshad
TitelThe Mathematics of Starry Nights
QuelleIn: AMATYC Review, 30 (2008) 1, S.10-17 (8 Seiten)
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Spracheenglisch
Dokumenttypgedruckt; online; Zeitschriftenaufsatz
ISSN0740-8404
SchlagwörterAstronomy; Graphing Calculators; College Mathematics; Matrices; Computation; Teaching Methods; Maps; Mathematics Instruction; Equations (Mathematics)
AbstractThe mathematics for finding and plotting the locations of stars and constellations are available in many books on astronomy, but the steps involve mystifying and fragmented equations, calculations, and terminology. This paper will introduce an entirely new unified and cohesive technique that is easy to understand by mathematicians, and simple enough to fit on one line, and easy to program into a graphing calculator. The result will be a 2 x "n" matrix of star coordinates that will model the positions of naked-eye visible stars and constellations for a given date and time and location of the observer. This technique is based on coordinate transformations in R[superscript 3] and mapping from R[superscript 3] to R[superscript 2]. The precession of the equinoxes will be explained and included in the calculations, and will therefore make the star plots accurate for approximately two thousand years into the future or the past. This paper provides examples for the application of linear transformations and mappings, using one of the most natural physical phenomena, and is written for readers with limited knowledge of astronomy. (As Provided).
AnmerkungenAmerican Mathematical Association of Two-Year Colleges. 5983 Macon Cove, Memphis, TN 38134. Tel: 901-333-4643; Fax: 901-333-4651; e-mail: amatyc@amatyc.org; Web site: http://www.amatyc.org
Erfasst vonERIC (Education Resources Information Center), Washington, DC
Update2017/4/10
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