## Chart: Microlensing Caustic Structures ### Overview The image presents six separate plots, each depicting the caustic structure of a microlensing event. Each plot shows the xS and yS coordinates, with red lines indicating the caustic curves. A black arrow indicates the direction of motion. The plots are labeled with the event name (e.g., KMT-2017-BLG-1194) and, in some cases, "Inner" or "Outer" to distinguish between different caustic regions. ### Components/Axes * **Axes:** Each plot has an x-axis labeled "xS" and a y-axis labeled "yS". * The y-axis ranges from approximately -0.02 to 0.02 in the top two rows, and from -0.04 to 0.04 in the middle row, and -0.02 to 0.02 in the bottom two rows. * The x-axis ranges vary for each plot, as detailed below. * **Titles:** Each plot has a title indicating the microlensing event name (e.g., "KMT-2017-BLG-1194"). * **Caustic Curves:** Red lines represent the caustic curves. * **Motion Vector:** A black arrow indicates the direction of motion. * **Region Labels:** Some plots are labeled with "Inner" or "Outer" in blue text. ### Detailed Analysis **Plot 1: KMT-2017-BLG-1194 (A)** * x-axis: Ranges from approximately -0.46 to -0.36. * y-axis: Ranges from approximately -0.02 to 0.02. * Caustic Structure: Two small, triangular-shaped caustics are visible. * Motion Vector: Points towards the top-right. **Plot 2: KMT-2017-BLG-1194 (B)** * x-axis: Ranges from approximately -0.42 to -0.36. * y-axis: Ranges from approximately -0.02 to 0.02. * Caustic Structure: Two small, triangular-shaped caustics are visible. * Motion Vector: Points towards the top-right. **Plot 3: KMT-2017-BLG-0428 (Inner)** * x-axis: Ranges from approximately -0.26 to -0.20. * y-axis: Ranges from approximately -0.02 to 0.02. * Caustic Structure: A single, larger caustic structure is visible. * Motion Vector: Points upwards and slightly to the right. **Plot 4: KMT-2017-BLG-0428 (Outer)** * x-axis: Ranges from approximately -0.22 to -0.16. * y-axis: Ranges from approximately -0.02 to 0.02. * Caustic Structure: A single, larger caustic structure is visible. * Motion Vector: Points upwards and slightly to the right. **Plot 5: KMT-2019-BLG-1806 (Inner)** * x-axis: Ranges from approximately -0.15 to 0.00. * y-axis: Ranges from approximately -0.04 to 0.04. * Caustic Structure: A small caustic structure is visible. * Motion Vector: Points upwards and slightly to the right. **Plot 6: KMT-2019-BLG-1806 (Outer)** * x-axis: Ranges from approximately -0.05 to 0.10. * y-axis: Ranges from approximately -0.04 to 0.04. * Caustic Structure: A larger caustic structure is visible. * Motion Vector: Points upwards and slightly to the right. **Plot 7: KMT-2017-BLG-1003 (Inner)** * x-axis: Ranges from approximately -0.26 to -0.18. * y-axis: Ranges from approximately -0.02 to 0.02. * Caustic Structure: A single, larger caustic structure is visible. * Motion Vector: Points upwards and slightly to the right. **Plot 8: KMT-2017-BLG-1003 (Outer)** * x-axis: Ranges from approximately -0.24 to -0.18. * y-axis: Ranges from approximately -0.02 to 0.02. * Caustic Structure: A single, larger caustic structure is visible. A green circle is drawn over the caustic. * Motion Vector: Points upwards and slightly to the right. **Plot 9: KMT-2019-BLG-1367 (Inner)** * x-axis: Ranges from approximately -0.14 to -0.08. * y-axis: Ranges from approximately -0.02 to 0.02. * Caustic Structure: A single, larger caustic structure is visible. * Motion Vector: Points upwards and slightly to the right. **Plot 10: KMT-2019-BLG-1367 (Outer)** * x-axis: Ranges from approximately -0.08 to 0.00. * y-axis: Ranges from approximately -0.02 to 0.02. * Caustic Structure: A single, larger caustic structure is visible. * Motion Vector: Points upwards and slightly to the right. ### Key Observations * Each plot represents a different microlensing event or a different region (Inner/Outer) of the same event. * The caustic structures vary in size and shape across the different events. * The motion vectors generally point in a similar direction (upwards and slightly to the right), but there are slight variations. * The green circle in Plot 8 is an anomaly and may indicate a specific feature or event related to that caustic. ### Interpretation The plots illustrate the complex caustic structures that can arise in microlensing events. The different shapes and sizes of the caustics, along with the motion vectors, provide information about the lens system's configuration and dynamics. The "Inner" and "Outer" labels suggest that some events have multiple caustic regions, potentially due to the presence of multiple lenses. The green circle in one of the plots likely highlights a specific feature or event of interest within that particular caustic structure. The data suggests that microlensing events can exhibit a wide range of caustic morphologies, reflecting the diversity of lens systems in the galaxy.

\n ## Charts: Microlensing Light Curves ### Overview The image presents five individual microlensing light curves, each labeled with a unique identifier (KMT-2017-BLG-1194, KMT-2017-BLG-0428, KMT-2019-BLG-1806, KMT-2017-BLG-1003, and KMT-2019-BLG-1367). Each light curve plots the change in flux (y-axis, labeled as 'fs') against the relative source position (x-axis, labeled as 'xs'). Each plot contains red curves representing the light curve data, and black arrows indicating the direction of time evolution. Some plots also feature labeled regions ("Inner" and "Outer") and distinct data points (red triangles and a green circle). ### Components/Axes * **x-axis:** Labeled 'xs', representing the relative source position. The scale varies for each plot, ranging approximately from -0.46 to 0.10. * **y-axis:** Labeled 'fs', representing the flux. The scale varies for each plot, ranging approximately from -0.02 to 0.04. * **Data Points:** Red curves represent the light curve data. Red triangles mark specific points on the curves. A single green circle is present in the KMT-2017-BLG-1003 plot. * **Arrows:** Black arrows indicate the direction of time evolution along the light curve. * **Labels:** Each plot is labeled with a unique identifier (e.g., KMT-2017-BLG-1194). The KMT-2017-BLG-0428, KMT-2019-BLG-1806, KMT-2017-BLG-1003, and KMT-2019-BLG-1367 plots also include "Inner" and "Outer" labels. * **Sub-panels:** The image is divided into five sub-panels, each displaying a separate light curve. ### Detailed Analysis or Content Details **KMT-2017-BLG-1194 (A & B):** * Two subplots labeled A and B. * The red curve in both plots slopes downward from left to right. * Plot A: The curve starts at approximately (xs = -0.46, fs = 0.00) and ends at approximately (xs = -0.40, fs = -0.02). A red triangle is located at approximately (xs = -0.42, fs = 0.00). * Plot B: The curve starts at approximately (xs = -0.42, fs = 0.00) and ends at approximately (xs = -0.38, fs = -0.02). A red triangle is located at approximately (xs = -0.40, fs = 0.00). **KMT-2017-BLG-0428:** * The red curve shows a peak. * The curve starts at approximately (xs = -0.26, fs = 0.00) and reaches a peak at approximately (xs = -0.22, fs = 0.02), then decreases to approximately (xs = -0.16, fs = -0.02). * A red triangle is located at approximately (xs = -0.24, fs = 0.00). * The plot is labeled with "Inner" on the left side and "Outer" on the right side. **KMT-2019-BLG-1806:** * The red curve shows a complex shape with a dip and a rise. * The curve starts at approximately (xs = -0.15, fs = 0.04) and decreases to approximately (xs = -0.05, fs = -0.04), then rises to approximately (xs = 0.10, fs = 0.00). * A red triangle is located at approximately (xs = -0.10, fs = 0.00). * The plot is labeled with "Inner" on the left side and "Outer" on the right side. **KMT-2017-BLG-1003:** * The red curve shows a peak. * The curve starts at approximately (xs = -0.26, fs = 0.00) and reaches a peak at approximately (xs = -0.18, fs = 0.02), then decreases to approximately (xs = -0.24, fs = -0.02). * A red triangle is located at approximately (xs = -0.24, fs = 0.00). * A green circle is located at approximately (xs = -0.20, fs = 0.00). * The plot is labeled with "Inner" on the left side and "Outer" on the right side. **KMT-2019-BLG-1367:** * The red curve shows a peak. * The curve starts at approximately (xs = -0.14, fs = -0.02) and reaches a peak at approximately (xs = -0.08, fs = 0.02), then decreases to approximately (xs = -0.02, fs = -0.02). * A red triangle is located at approximately (xs = -0.12, fs = 0.00). * The plot is labeled with "Inner" on the left side and "Outer" on the right side. ### Key Observations * All light curves exhibit a general downward trend, indicative of a microlensing event where the source star's brightness is being magnified and then diminished as a lensing object passes in front of it. * The shapes of the curves vary, suggesting different lensing configurations (e.g., different lens masses, distances, and relative velocities). * The presence of "Inner" and "Outer" labels in the last four plots suggests a division of the light curve based on the position of the lensing object relative to the source star. * The green circle in KMT-2017-BLG-1003 represents a unique data point, potentially marking a specific feature of the lensing event (e.g., the peak magnification). ### Interpretation These light curves represent observations of microlensing events, a phenomenon predicted by Einstein's theory of general relativity. Microlensing occurs when a massive object (the lens) passes between a distant source star and the observer (Earth), bending the light from the source and causing it to appear brighter. The shape and duration of the light curve provide information about the lens's mass, distance, and velocity. The variations in the light curve shapes suggest that each event is caused by a different lensing configuration. The "Inner" and "Outer" labels likely delineate regions of the light curve corresponding to different phases of the lensing event. The green circle in KMT-2017-BLG-1003 could represent the point of maximum magnification or a specific feature related to the lens system. The data suggests that these microlensing events are being used to study the distribution of compact objects (e.g., stars, planets, black holes) in the Milky Way galaxy. By analyzing the frequency and characteristics of these events, astronomers can infer the abundance and properties of these objects. The different identifiers (KMT-...) indicate that these observations were obtained by the Korea Microlensing Telescope Network.

## Scatter Plots: KMT-BLG Event Data Analysis ### Overview The image contains six scatter plots arranged in a 3x2 grid, each representing data from different KMT-BLG events (e.g., KMT-2017-BLG-1194, KMT-2017-BLG-0428, etc.). Each plot features two axes (x_s and y_s) with directional arrows, red and green geometric shapes (triangles and circles), and blue text labels ("Inner" and "Outer"). The plots are labeled with event identifiers and include directional indicators. --- ### Components/Axes - **Axes**: - **x_s**: Horizontal axis, labeled with numerical values (e.g., -0.46 to -0.36 in the top row). - **y_s**: Vertical axis, labeled with numerical values (e.g., -0.02 to 0.02). - **Legends**: - **Red**: Labeled "Inner" (triangles). - **Green**: Labeled "Outer" (circles). - **Text Labels**: - "Inner" and "Outer" in blue, positioned near the plots. - Event identifiers (e.g., "KMT-2017-BLG-1194") at the top of each plot. - **Arrows**: Black arrows indicating directional trends (e.g., from lower-left to upper-right). --- ### Detailed Analysis #### KMT-2017-BLG-1194 (Top-Left) - **Data Points**: Red triangles (Inner) clustered around x_s ≈ -0.45 to -0.40, y_s ≈ -0.02 to 0.02. - **Trend**: Arrow points from lower-left to upper-right, suggesting a directional flow. - **Legend**: Red = Inner, Green = Outer (no green data points here). #### KMT-2017-BLG-0428 (Top-Right) - **Data Points**: - Red triangles (Inner) in upper-right (x_s ≈ -0.20 to -0.18, y_s ≈ 0.02). - Green circle (Outer) in lower-left (x_s ≈ -0.26, y_s ≈ -0.02). - **Trend**: Arrow points from lower-left to upper-right. - **Legend**: Red = Inner, Green = Outer. #### KMT-2019-BLG-1806 (Middle-Left) - **Data Points**: Red triangles (Inner) in lower-left (x_s ≈ -0.15 to -0.10, y_s ≈ -0.04 to 0.02). - **Trend**: Arrow points from lower-left to upper-right. - **Legend**: Red = Inner, Green = Outer (no green data points here). #### KMT-2017-BLG-1003 (Middle-Right) - **Data Points**: - Red triangles (Inner) in upper-right (x_s ≈ -0.20 to -0.18, y_s ≈ 0.02). - Green circle (Outer) in lower-left (x_s ≈ -0.24, y_s ≈ -0.02). - **Trend**: Arrow points from lower-left to upper-right. - **Legend**: Red = Inner, Green = Outer. #### KMT-2019-BLG-1367 (Bottom-Left) - **Data Points**: Red triangles (Inner) in upper-right (x_s ≈ -0.14 to -0.10, y_s ≈ -0.02 to 0.02). - **Trend**: Arrow points from lower-left to upper-right. - **Legend**: Red = Inner, Green = Outer (no green data points here). #### KMT-2019-BLG-1367 (Bottom-Right) - **Data Points**: Red triangles (Inner) in upper-right (x_s ≈ -0.08 to 0.00, y_s ≈ 0.02). - **Trend**: Arrow points from lower-left to upper-right. - **Legend**: Red = Inner, Green = Outer (no green data points here). --- ### Key Observations 1. **Directional Arrows**: All plots show arrows pointing from lower-left to upper-right, indicating a consistent directional trend across events. 2. **Data Distribution**: - "Inner" (red) data points are consistently in the lower-left or upper-right regions. - "Outer" (green) data points appear only in specific plots (e.g., KMT-2017-BLG-0428, KMT-2017-BLG-1003). 3. **Anomalies**: - A green circle (Outer) in KMT-2017-BLG-1003 is positioned near the center, distinct from other data points. - Some plots (e.g., KMT-2019-BLG-1806) lack green data points, suggesting variability in Outer region representation. --- ### Interpretation The plots likely represent spatial or temporal data from KMT-BLG events, with "Inner" and "Outer" regions differentiated by color. The directional arrows suggest a systematic flow or progression (e.g., movement, expansion, or interaction). The presence of green circles in specific plots may indicate unique events or outliers in the Outer region. The absence of green in some plots could reflect event-specific conditions or data limitations. The consistent directional trend across all plots implies a shared underlying mechanism or process influencing the data.