I modified the code from the above article to raytrace the solar eclipse by simulating the motion of Earth/Moon/Sun system, and casting light from the Sun onto the Earth.
Inputs to program: o Position, velocity, mass, and radius of E/M/S on April 8th, 14:00 UTC. o Rotation rate of Earth. o Axial tilt of Earth. o Date and time of Spring Equinox. o Force = mass x acceleration o Force = Gravity-constant x mass1 x mass2 / radius^2 o "Blue Marble" map from https://ian.macky.net/pat/bmarbl/index.html
Start position and velocity data was from: https://ssd.jpl.nasa.gov/horizons/
After initialization, position and velocity data was updated every second for 9 hours using the above Newton force laws. Images were recorded once a minute. Final video was compiled at 60 frames per second, yielding one hour of real time per second of video.
You can compare the raytraced path with this version: https://nso.edu/for-public/eclipse-map-2024/
