Abstract
Here, a recently introduced nine-body problem is shown to be decomposable via a novel class of reciprocal transformations into a set of integrable Ermakov systems. This Ermakov decomposition is exploited to construct more general integrable nine-body systems in which the canonical nine-body system is embedded.
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Rogers, C. On a canonical nine-body problem. Integrable Ermakov decomposition via reciprocal transformations. J Nonlinear Math Phys 26, 98–106 (2019). https://doi.org/10.1080/14029251.2019.1544792
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DOI: https://doi.org/10.1080/14029251.2019.1544792