Wednesday, September 26, 2012

Relationships between Centimeter, Inch, Year, and Month

What do inches and centimeters have to do with astronomy? That's what first popped into my mind when I discovered this amazing relationship. Suppose you have a circle with a diameter measured in centimeters and a magnitude equal to exactly 10 synodic months. We'll use the value of 29.53 for the length of the synodic month. It turns out that the magnitude of the circumference of the circle, measured in inches matches the length of the tropical year in days.

10 × 29.53 cm × π = 927.71 cm
927.71 cm ÷ 2.54 cm/inch = 365.24 inches