File:Venus geocentric orbit curve simplified (pentagram).svg

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Original file(SVG file, nominally 604 × 600 pixels, file size: 212 KB)

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Description A simplified plot of the position of Venus with respect to the Earth (i.e. geocentric perspective). For this graphic, Venus and the Earth are assumed to be in coplanar concentric perfect circular orbits around the sun (with Venus' orbit having a radius of 0.724 AU), and Venus' and Earth's orbital periods are assumed to be in an exact 8:13 ratio. The position of Venus with respect to the Earth is plotted approximately every 13 and a half hours over the 8 year period (a total of 5,200 points). The resulting 5-fold symmetric curve is sometimes called a "pentagram" (though it has little resemblance to a conventional 5-pointed star). The innermost loops near the center are where Apparent retrograde motion is observed. See Venus geocentric orbit curve simplified Line (pentagram).svg for this plotted as a smooth continuous curve instead of a series of points, and see Venus pentagram.png for an alternative more astronomically-correct (less simplified) plot.
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Source The SVG was generated by means of the e.low self-written vector PostScript source code.
Author AnonMoos
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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
In some countries this may not be legally possible; if so:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.
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The SVG code is valid.
 
This trigonometry was created with PostScript.
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PostScript code

%!
306 396 translate 0 1 5200{36 mul dup
65 div/e exch def 40 div/v exch def
170 e sin mul 123.08 v sin mul sub
-170 e cos mul -123.08 v cos mul sub
1.6 0 360 arc closepath fill}for showpage
%EOF

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Date/TimeThumbnailDimensionsUserComment
current14:44, 23 November 2012Thumbnail for version as of 14:44, 23 November 2012604 × 600 (212 KB)AnonMoos (talk | contribs)A simplified plot of the position of Venus with respect to the Earth (i.e. geocentric perspective). For this graphic, Venus and the Earth are assumed to be in perfect circular orbits (with Venus' orbit having a radius of 0.724 AU) and Venus' and Earth...

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