Thursday, November 30, 2023

Art History of Math - Orbital Mechanics, Heliocentrism, and Vector Addition

 Our art project reflects the history of astronomy and actualizes historic beliefs using the mathematics of vector addition. There was a time in human history that people believed that all the heavenly bodies orbited around the Earth, an idea called geocentricism.

We have been taught that the earth and the heavenly bodies orbit the sun, but why do we think this? Occam's razor states that the simpler answer is the solution. If we were to monitor the paths heavenly bodies take as they pass through the sky, we would expect these paths to be simple.

Tracking the orbits of heavenly bodies from Earth, their paths are very wonky. It is only when we assume that the sun is the center of the orbit do the paths of the planets become nice ellipses.

By using the math of vector addition, we were able to simulate the paths heavenly bodies take while moving through the sky from the perspective of different planets. The assumption of Geocentricism creates beautifully complex patterns in the paths of the planets. We extended this to allow for the perspective of each planet being at the center of the solar system.

The paths of the planets are beautifully complex, and it is only when the Sun is the center of the solar system that the complexity dissolves to simplicity.

References:

https://journals.sagepub.com/doi/epdf/10.1177/002182860203300301

https://link.springer.com/referenceworkentry/10.1007/978-3-319-02848-4_926-1

https://link.springer.com/referenceworkentry/10.1007/978-3-319-02848-4_67-1

https://link.springer.com/chapter/10.1007/978-94-011-4179-6_10

https://link.springer.com/chapter/10.1007/978-94-011-4179-6_7


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