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Euler's Collinear Solution to three-body problem in GR. -- clip from @PeRossello

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The three-body problem is reexamined in the framework of general relativity. The Newtonian three-body problem admits Euler’s collinear solution, where three bodies move around the common center of mass with the same orbital period and always line up. The solution is unstable. Hence it is unlikely that such a simple configuration would exist owing to general relativistic forces dependent not only on the masses but also on the velocity of each body. However, we show that the collinear solution remains true with a correction to the spatial separation between masses.
From the paper: 𝘌𝘶𝘭𝘦𝘳’𝘴 𝘤𝘰𝘭𝘭𝘪𝘯𝘦𝘢𝘳 𝘴𝘰𝘭𝘶𝘵𝘪𝘰𝘯 𝘵𝘰 𝘵𝘩𝘳𝘦𝘦-𝘣𝘰𝘥𝘺 𝘱𝘳𝘰𝘣𝘭𝘦𝘮 𝘪𝘯 𝘎𝘙
Credit to: @canagrisa on Twitter/Youtube.
From the paper: 𝘌𝘶𝘭𝘦𝘳’𝘴 𝘤𝘰𝘭𝘭𝘪𝘯𝘦𝘢𝘳 𝘴𝘰𝘭𝘶𝘵𝘪𝘰𝘯 𝘵𝘰 𝘵𝘩𝘳𝘦𝘦-𝘣𝘰𝘥𝘺 𝘱𝘳𝘰𝘣𝘭𝘦𝘮 𝘪𝘯 𝘎𝘙
Credit to: @canagrisa on Twitter/Youtube.
Euler's Collinear Solution to three-body problem in GR. -- clip from @PeRossello
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