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tokens: This work was carried out as part of the ISIMA programme on Gravitational Dynamics held in 2014 July at CITA, Toronto. We acknowledge Pascale Garaud for the organization, the financial support and for providing a stimulating environment. MG thanks the Royal Society for financial support in the form of a University Research Fellowship (URF) and the European Research Council (ERC-StG-335936, CLUSTERS). RLS acknowledges the support of the Science and Technology Facilities Council (STFC) via the award of an STFC Studentship. RLS thanks Anna Lisa Varri for her support and guidance throughout this work. We thank Miklos Peuten, Antonio Sollima, Anna Lisa Varri and Alice Zocchi for discussions during the ‘Gaia Challenge’ meeting and Diederik Kruijssen,Vincent Hénault-Brunet, Jay Strader and Nate Bastian for comments on the manuscript. Finally, we thank the referee for constructive comments that helped to improve the paper.