In this video we take a detailed look at how to construct an orbit of arbitrary shape by using moons upon moons and the mathematical technique of Fourier series.
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Thanks to Noah Lape for helping record the intro/outro clips, and to Grant Sanderson for creating Manim and being a wonderful inspiration. (Speaking of which, this video was submitted to #SoME2, a contest being run by 3Blue1Brown.)
Link to 3Blue1Brown video on Fourier series: https://www.youtube.com/watch?v=r6sGWTCMz2k
For those interested in learning Manim, here are two great resources:
Grant Sanderson's github page: https://github.com/3b1b
Manim community page: https://www.manim.community/
Music by Vincent Rubinetti
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u