On a canonical nine-body problem. Integrable Ermakov decomposition via reciprocal transformations
- 10.1080/14029251.2019.1544792How to use a DOI?
- Many Body; Ermakov; Reciprocal
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.
- © 2019 The Authors. Published by Atlantis and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Colin Rogers PY - 2021 DA - 2021/01/06 TI - On a canonical nine-body problem. Integrable Ermakov decomposition via reciprocal transformations JO - Journal of Nonlinear Mathematical Physics SP - 98 EP - 106 VL - 26 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2019.1544792 DO - 10.1080/14029251.2019.1544792 ID - Rogers2021 ER -