File:Venus geocentric orbit curve simplified Line (pentagram).svg
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Summary
| 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, and Venus' and Earth's orbital periods are assumed to be in an exact 8:13 ratio (so that the size of Venus' orbit with respect to the Earth's is set as the cube root of 8²/13² by Kepler's third law, or about 0.7234876 AU). 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 (pentagram).svg for this plotted as a series of points, instead of a continuous curve, 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 below self-written vector PostScript source code. | ||
| Author | AnonMoos | ||
| Permission (Reusing this file) |
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| SVG development |  This trigonometry was created with PostScript. | ||
| Source code | PostScript code%!
306 396 translate .3152 dup scale 9 setlinewidth
/angq{add 18 mul dup 8 div exch 13 div}def
/getx{angq sin 550 mul exch sin 397.91817792197 mul sub}def
/gety{angq cos -550 mul exch cos -397.91817792197 mul sub}def
/pi 6.28318530718 def 0 -152.08182207803 moveto
0 1 2079{/q exch def
q 0 getx q 1 getx q -1 getx sub pi div add
q 0 gety q 1 gety q -1 gety sub pi div add
q 1 getx q 2 getx q 0 getx sub pi div sub
q 1 gety q 2 gety q 0 gety sub pi div sub
q 1 getx q 1 gety curveto}for closepath stroke showpage
%EOF
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 08:26, 25 March 2016 | | 602 × 600 (90 KB) | AnonMoos | {{Information |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, and V... |
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