The simplest three‐body problem that attracts physical interest is the one first studied by Euler. In Euler’s problem, a primary and secondary mass are fixed in space, a given distance apart, and a test mass is allowed to move unrestricted in their superimposed gravitational fields. The equations of motion are derived and solved via a simple numerical procedure. The algorithm is adaptable to a small programmable calculator and should help to stimulate interest in the classroom. Several examples of motion are discussed and graphically presented.
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Walter J. Wild; Euler’s three‐body problem. Am. J. Phys. 1 April 1980; 48 (4): 297–301. https://doi.org/10.1119/1.12144
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