Check out Grant’s channel: 3blue1brown: https://www.youtube.com/3blue1brown This video recounts a lecture by Richard Feynman giving an elementary demonstration of why planets orbit in ellipses. See the excellent book by Judith and David Goodstein, "Feynman's lost lecture”, for the full story behind this lecture, and a deeper dive into its content. Tweet referenced at the start: https://twitter.com/3blue1brown/status/1016936129117937664 Music by Nathaniel Schroeder: https://soundcloud.com/drschroeder/elizabeth-the-mouse Music by Vincent Rubinetti: https://soundcloud.com/vincerubinetti/one-two-zeta Support MinutePhysics on Patreon! http://www.patreon.com/minutephysics ... https://www.youtube.com/watch?v=xdIjYBtnvZU

Thanks to Google for sponsoring a portion of this video! Support MinutePhysics on Patreon: http://www.patreon.com/minutephysics This video is about using Bohmian trajectories to visualize the wavefunctions of hydrogen orbitals, rendered in 3D using custom python code in Blender. REFERENCES A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I David Bohm, Physical Review, Vol 85 No. 2, January 15, 1952 Speakable and Unspeakable in Quantum Mechanics J. S. Bell Trajectory construction of Dirac evolution Peter Holland The de Broglie-Bohm Causal Interpretation of Quantum Mechanics and its Application to some Simple Systems by Caroline Colijn Bohmian Trajectories as the Foundation of Quantum Mechanics http://arxiv.org/abs/0912.2666v1 The Pilot-Wave Perspective on Quantum Scattering and Tunneling http://arxiv.org/abs/1210.7265v2 A Quantum Potential Description of One-Dimensional Time-Dependent Scattering From Square Barriers and Square Wells Dewdney, Foundations of Physics, VoL 12, No. 1, 1982 Link to Patreon Supporters: http://www.minutephysics.com/supporters/ MinutePhysics is on twitter - @minutephysics And facebook - http://facebook.com/minutephysics Minute Physics provides an energetic and entertaining view of old and new problems in physics -- all in a minute! Created by Henry Reich ... https://www.youtube.com/watch?v=W2Xb2GFK2yc

This video brought to you by http://www.audible.com/minutephysics Thanks to Neil deGrasse Tyson for his amazing writing and narration! Music: "The Firebird Suite" by Igor Stravinsky, performed by the USAF Band, licensed from Naxos of America, Inc. for worldwide use. Minute Physics provides an energetic and entertaining view of old and new problems in physics -- all in a minute! And thanks to the following Patreon.com supporters: minutephysics.com/supporters.html Created by Henry Reich ... https://www.youtube.com/watch?v=7KYTJ8tBoZ8

Subscribe to MinutePhysics - it's FREE! http://dft.ba/-minutephysics_sub MinutePhysics is on Google+ - http://bit.ly/qzEwc6 And facebook - http://facebook.com/minutephysics And twitter - @minutephysics Minute Physics provides an energetic and entertaining view of old and new problems in physics -- all in a minute! Music by Nathaniel Schroeder http://www.soundcloud.com/drschroeder ... https://www.youtube.com/watch?v=4B_x1XjBhiI