Saturday, December 8, 2012

Phi and Pi in the Solar System

Venus orbits the Sun in 224.695 days while Earth orbits the Sun in 365.242 days, creating a ratio of 8 / 13 (both Fibonacci numbers) or 0.615 (roughly phi).  Thus 5 conjunctions of Earth and Venus occur every 8 orbits of the Earth around the Sun and every 13 orbits of Venus.  
Mercury orbits the Sun in 87.968 Earth days, creating a conjunction with the Earth every 115.88 days. Thus there are 365.24 / 115.88 conjunctions in a year, or 22 conjunctions in 7 years, which is close to pi.  
More HERE + HERE + HERE + HERE