Figure 1. Lightcurve with single lens (1L1S) model for KMTNet observations of KMT-2016-BLG-0212. The top panel shows the caustic crossing, which is excluded from the fit, while the middle panel shows surrounding regions. The magnitude of the flux variation, Iflux−var ≡ −2.5 log(10−0.4Ipeak− 10−0.4Ibase) ∼ 20 is quite low by the standards of published microlensing events. Here Ipeak = 18.8 and Ibase = 19.2 are respectively the peak and baseline of the underlying Paczy´nski (1986) event.
Figure 2. Results of the grid search over s, q and α. While s and q are fixed in the grid search, α is allowed to vary from its initial seed position. The colors indicate Δχ2 ≤ (nσ)2 where n = 3 and σ =[1 (black), 2 (yellow), 3 (green), 4 (blue), 5 (purple)] relative to the best grid point (e.g., green corresponds to 36 ≤ Δχ2 < 81). The X’s indicate the locations of the nine refined solutions. All of the solutions are topologically isolated except for Wide (2a,2b,3) in the lower-right of the (s, q) panel. See Figure 3. Thus, theirX’s sometimes overlap.
Figure 3. Caustic-chirality diagram of three solutions: Wide (2a, 2b, 3). The abscissa is the (signed) impact parameter of the source trajectory relatively to the center of the caustic. Like the other six solutions shown in Figure 2, Wide 3 is topologically isolated. However, Wide 2a and Wide 2b are weak local minima separated by a “barrier” whose height is only Δχ2 ∼ 5 within a long valley in mass ratio q. Δχ2 < (1, 4, 9, 16, 25) is marked in (red, yellow, green, blue, and purple, respectively.
Figure 4. Source trajectory and caustic geometries for nine solutions, representing seven different topologies.
Figure 5. Zoom of fits for nine different model geometries of KMT-2016-BLG-0212 over the anomaly. Solutions “close 4” and “wide 4” have poor fits and are excluded.
Figure 6. Comparison of nine models (without data) that are broadly compatible with the data. The upper panel is a zoom of the region near the caustic.
Figure 7. Residuals of the data relative to the nine models shown in Figure 6. The quite poor match of model “close 2” during the 1.5 days centered on HJD′ ∼ 7473.5 explains the high χ2 of this model. The origin of the relatively high χ2 of “close 3” model is the systematic deviation of the model in KMTA data near HJD′ ∼ 7471.2. The mismatch of models “close 4” and “wide 4” are noticeable here but are more apparent in Figure 5.
Figure 8. Color-magnitude diagram (CMD) from py-DIA reductions of KMTNet data, calibrated to OGLE-III (Szymański et al. 2011). The positions of the clump and of the source for two of the solutions (“close 1” and “wide 2a”) are shown. The source positions for the other two “Class II” solutions (“wide 2b” and “wide 3”) are nearly identical to “wide 2a”.
Figure 9. Bayesian estimates, based on the Han & Gould (1995) Galactic model for the host mass and system distance of KMT-2016-BLG-0212 for the “close 1” (BD-class) solution. The distributions are quite broad.
Figure 10. Bayesian estimates, based on the Han & Gould (1995) Galactic model, for the host mass and system distance of KMT-2016-BLG-0212 for the “wide 2a” (sub-Neptune-class) solution. The distributions are qualitatively similar to those of the “close 1” solution (Figure 9). They are also extremely similar to the distributions for the “wide 2b” and “wide 3” solutions, for which reason these latter are not shown.
Table 1 Parameters for scaling data errorbars
Table 2 Lensing parameters of close models
Table 3 Lensing parameters of wide models
Table 4 Physical properties
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