tokens: Acknowledgements We wish to thank an anonymous referee for many useful suggestions, which helped to improve an earlier version of the manuscript. We thank F. Borsa, I. Carleo, M. Damasso, R. de Kok, A. Maggio, I. Pagano for lending initial impetus to this analysis. G.G. acknowledges the financial support of the 2017 PhD fellowship programme of INAF. P.G. gratefully acknowledges support from the Italian Space Agency (ASI) under contract 2018-24-HH.0. This work has made use of data from the European Space Agency (ESA) mission Gaia ( https://www.cosmos.esa.int/gaia ), processed by the Gaia Data Processing and Analysis Consortium (DPAC, https://www.cosmos.esa.int/web/gaia/dpac/consortium ). Funding for the DPAC has been provided by national institutions, in particular the institutions participating in the Gaia Multilateral Agreement.
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