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■ Patreon: / matesmike ■ Channel members: / @matesmike ■ Instagram: @mates.mike ■ Twitter: @mike_mates ARTICLES: Two-Body Problem: https://web.physics.ucsb.edu/~fratus/... Euler's Solution: https://www.phys.lsu.edu/faculty/gonz... Broucke-Hénon: https://arxiv.org/pdf/1607.00580.pdf -Page to view Periodic Orbits: https://observablehq.com/@rreusser/pe... The Eight: https://arxiv.org/pdf/math/0011268.pdf 13 New Classes of Periodic Orbits (2013): https://journals.aps.org/prl/pdf/10.1... 12409 New Orbits (2023): https://arxiv.org/pdf/2308.16159.pdf Paper on the Stability of Mercury (2020): https://arxiv.org/pdf/2012.05177.pdf The Restricted Three-Body Problem: https://jan.ucc.nau.edu/~ns46/student... -NASA paper on the Sundmann Solution: https://ntrs.nasa.gov/api/citations/1... 00:00 Introduction 01:03 How to support the channel 01:15 Two Bodies 04:29 N Bodies 04:44 Three Bodies 06:48 Periodic orbits 09:24 Three-Body Chaos 13:04 Are there solutions? 13:55 Simplifications to the problem 15:29 The solution to the Problem 18:56 How are the orbits simulated? 19:43 Final ►► SOME VIDEOS: ► THE INFINITY SAGA: • The Hotel Paradox With Infinite H... ► THE FACTORIAL SAGA: • What is the Factorial in Mathematics and... ► THE RIEMANN HYPOTHESIS: • The Pattern of Prime Numbers and the... ► The Order of the Factors DOES alter the Product: • The Order of the Factors DOES alter the... ► How to Divide by 0 Without Collapsing the Universe: • How to Divide by 0 without Breaking the Un... ►Equations and fractals: • How to CREATE FRACTALS with POLYNOMIALS ...