Lagrangian Mechanics: How powerful is it?

Check out Brilliant for 20% off: http://brilliant.org/ScienceAsylum Is Lagrangian mechanics powerful enough to replace Newton's laws? What does the principle of least action say about cause and effect (causality)? What the heck is an action? Let's find out! ________________________________ VIDEO ANNOTATIONS/CARDS Lagrange Points:    • The Most Useful Places in an Orbit | Lagra...   What the HECK is Energy?    • What the HECK is Energy?   Is Math the Language of the Universe?    • Is Math the Language of the Universe?   ________________________________ RELATED YOUTUBE VIDEOS Up & Atom on Lagrangian Mechanics:    • Lagrangian Mechanics - A beautiful way to ...   Eugene on on Lagrangian Mechanics:    • Euler-Lagrange equation explained intuitiv...   3blue1brown on Phase Space:    • Differential equations, a tourist's guide ...   ________________________________ SUPPORT THE SCIENCE ASYLUM Patreon:   / scienceasylum   Advanced Theoretical Physics (eBook): https://gumroad.com/l/ubSc Merchandise: https://www.scienceasylum.com ________________________________ HUGE THANK YOU TO THESE PATRONS Warden of the Asylum: YDT Asylum Counselors: Matthew O'Connor Asylum Orderlies: Daniel Bahr, William Morton, I'mKorgThisIsMiek Einsteinium Crazies: Albert B. Cannon, Eoin O'Sullivan, Tim Ruffles, LT Marshall Faulds, Ilya Yashin, Wacky Plutonium Crazies: JKLMN Anderson, Al Davis, Kevin MacLean Platinum Crazies: Fletch, Stephen Blinn, Felipe Cruz, Vittorio Monaco, Mikayla Eckel Cifrese, Evgeny Ivanov ________________________________ OTHER SOURCES http://www.feynmanlectures.caltech.ed... https://physics.stackexchange.com/que... ________________________________ LINKS TO COMMENTS    • Photons, Entanglement, and the Quantum Eraser   ________________________________ IMAGE CREDITS Lagrange: https://commons.wikimedia.org/wiki/Fi... https://commons.wikimedia.org/wiki/Fi... Fermat: https://commons.wikimedia.org/wiki/Fi... ibn al-Haytham: https://commons.wikimedia.org/wiki/Fi...