On a canonical nine-body problem. Integrable Ermakov decomposition via reciprocal transformations. Issue 1 (2nd January 2019) - Rogers, Colin
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.