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tokens: We are grateful to the anonymous referee whose excellent comments and suggestions greatly improved this article. This work is supported by grants from the HKRGC (HKU7062/13P) and the Seed Fund for Basic Research at the HKU (201611159037). This work is partly supported by grants DGAPA/PAPIIT-107215 and CONACyT-CB2015-254132. R.G.B. acknowledges support from the Spanish Ministerio de Economía y Competitividad, through projects AYA2016-77846-P and AYA2014-57490-P. X.W.L. acknowledges financial support from the National Key Basic Research Program of China 2014CB845700. M3.B. is partially supported by ANPCyT through grant PICT-2014-2708 and by MinCyT-DAAD bilateral cooperation through grant DA/16/07. X.F. is grateful to Albert A. Zijlstra, Bruce Balick, and Romano L.M. Corradi for in-depth discussion. We thank Paolo Ventura for providing us the AGB model predictions. We also thank Michael R. Merrifield for giving us the permission to reproduce the stellar orbit (in Figure 2 of this paper) based on Figure 2 in Merrett et al. ( 2003 ). This research also made use of NASA’s Astrophysics Data System ( http://adsabs.harvard.edu ), the SDSS DR10 Science Archive Server (SAS; http://data.sdss3.org/ ), the SDSS DR12 Finding Chart Tool ( https://skyserver.sdss.org/dr12/en/tools/chart/ ), and the SIMBAD Astronomical Database ( http://simbad.u-strasbg.fr/simbad/ ). Software: iraf , midas , SAOImage DS9. Facility: GTC (OSIRIS).