Classroom Activity
Celestial Mechanics

Astronomy

History of Math, Science and Technology

Ratios and Proportions

Clocks and calendars play a central role in the early histories of math, science, engineering and technology and they are linked closely to observations of the sky. The predecessors of modern clocks include devices built by French architect, Villard de Honnecourt, around 1250 and by Chinese monk and mathematician, Yixing, around 720. Both of these devices were intended to follow or replicate the apparent motion of the Sun or Moon through the sky.

In this activity students take on the same task as de Honnecourt and Yixing, but using mathematical functions rather than mechanical gears, shafts, locks and pins. Students begin by using ratios and proportions to predict the motion of the Earth's Moon among the constellations, comparing and contrasting the measurement systems used by 13th Century Europeans like de Honnecourt and by the 8th century Buddhist, Yixing. More advanced students could even replicate the much more complex motion of Mars and other planets.

 

 

Authors: Robert Chaney, Fred Thomas, Marta Gruesbeck
Activity Created: 2011

Documents
Participant Handout | Facilitator Notes