Bertrand's Theorem and Orbits in any Dimension
Автор: Science Meets Fiction
Загружено: 2024-06-18
Просмотров: 22457
Описание:
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.
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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.
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