You can find the orbit of a planet by solving a tough differential equation (like I showed you in my last video), or you can do with one (or two) lines of algebra thanks to the "Runge-Lenz" vector! Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up
Get all the links here: https://www.physicswithelliot.com/runge-lenz-mini
How to solve the differential equation for the orbit: https://youtu.be/wLYZsO6lk0E
How to understand the orbits from the effective potential: https://youtu.be/NvOvmgHSFx0
Tutoring inquiries: https://www.physicswithelliot.com/tutoring
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About physics mini lessons:
In these intermediate-level physics lessons, I'll try to give you a self-contained introduction to some fascinating physics topics. If you're just getting started on your physics journey, you might not understand every single detail in every video---that's totally fine! What I'm really hoping is that you'll be inspired to go off and keep learning more on your own.
About me:
I’m Dr. Elliot Schneider. I love physics, and I want to help others learn (and learn to love) physics, too. Whether you’re a beginner just starting out with your physics studies, a more advanced student, or a lifelong learner, I hope you’ll find resources here that enable you to deepen your understanding of the laws of nature. For more cool physics stuff, visit me at https://www.physicswithelliot.com.