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Gaia16aye was a binary microlensing event discovered in the direction towardsthe northern Galactic disc and was one of the first microlensing eventsdetected and alerted to by the Gaia space mission. Its light curve exhibitedfive distinct brightening episodes, reaching up to I=12 mag, and it was coveredin great detail with almost 25,000 data points gathered by a network oftelescopes. We present the photometric and spectroscopic follow-up covering 500days of the event evolution. We employed a full Keplerian binary orbitmicrolensing model combined with the motion of Earth and Gaia around the Sun toreproduce the complex light curve. The photometric data allowed us to solve themicrolensing event entirely and to derive the complete and unique set oforbital parameters of the binary lensing system. We also report on thedetection of the first-ever microlensing space-parallax between the Earth andGaia located at L2. The properties of the binary system were derived frommicrolensing parameters, and we found that the system is composed of twomain-sequence stars with masses 0.57$\pm$0.05 $M_\odot$ and 0.36$\pm$0.03$M_\odot$ at 780 pc, with an orbital period of 2.88 years and an eccentricityof 0.30. We also predict the astrometric microlensing signal for this binarylens as it will be seen by Gaia as well as the radial velocity curve for thebinary system. Events such as Gaia16aye indicate the potential for themicrolensing method of probing the mass function of dark objects, includingblack holes, in directions other than that of the Galactic bulge. This casealso emphasises the importance of long-term time-domain coordinatedobservations that can be made with a network of heterogeneous telescopes.

Full orbital solution for the binary system in the northern Galactic disc microlensing event Gaia16aye