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.

Support this channel: One of the most helpful things you can do to support this channel is to share this video with others you think would find it interesting. It's also helpful if you subscribe.

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:    • But what is a Fourier series?  From h...  

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/a...
Stream the music on Spotify:
https://open.spotify.com/album/1dVyjw...