Bertrand's Theorem and Orbits in any Dimension

A follow-up to a minor point in my Negative Mass series; what happens to orbits if gravity has different exponents? It turns out it's not always as disastrous as they would have you believe. I am now on Patreon! If you would like to support my channel and get early access to content, consider signing up here:   / sciencemeetsfiction   0:00 - Introduction 2:10 - Unstable vs. Unbounded 4:38 - Effective potential energy 6:10 - Positive exponents 8:20 - Negative exponents 11:08 - Fractional exponents Music: "Jupiter" from The Planets by Gustav Holst, public domain recording by the U.S. Air Force Heritage of America Band.