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Can a machine or algorithm discover or learn the elliptical orbit of Marsfrom astronomical sightings alone? Johannes Kepler required two paradigm shiftsto discover his First Law regarding the elliptical orbit of Mars. Firstly, ashift from the geocentric to the heliocentric frame of reference. Secondly, thereduction of the orbit of Mars from a three- to a two-dimensional space. Weextend AI Feynman, a physics-inspired tool for symbolic regression, to discoverthe heliocentricity and planarity of Mars' orbit and emulate his discovery ofKepler's first law.

Celestial Machine Learning: Discovering the Planarity, Heliocentricity, and Orbital Equation of Mars with AI Feynman