The Relative Lens‐Source Proper Motion in MACHO 98‐SMC‐1

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Abstract
We present photometric and spectroscopic data for the second microlensing event seen toward the Small Magellanic Cloud (SMC), MACHO 98-SMC-1. The lens is a binary. We resolve the caustic crossing and find that the source took 2 Δt=8.5 hr to transit the caustic. We measure the source temperature Teff=8000 K both spectroscopically and from the color, (V-I)0~0.22. We find two acceptable binary-lens models. In the first, the source crosses the caustic at =432 and the unmagnified source magnitude is Is=22.15. The angle implies that the lens crosses the source radius in time t*=Δt =2.92 hr. The magnitude (together with the temperature) implies that the angular radius of the source is θ*=0.089 μas. Hence, the proper motion is μ=θ*/t*=1.26 km s-1 kpc-1. For the second solution, the corresponding parameters are =306, Is=21.81, t*=2.15 hr, θ*=0.104 μas, and μ=θ*/t*=2.00 km s-1 kpc-1. Both proper-motion estimates are slower than 99.5% of the proper motions expected for halo lenses. Both are consistent with an ordinary binary lens moving at ~75-120 km s-1 within the SMC itself. We conclude that the lens is most likely in the SMC proper.