Solar Physics, cilt.298, sa.9, 2023 (SCI-Expanded)
We present a comprehensive analysis of the physical parameters and relationships of umbral dots (UDs), which assists in our understanding of the physical properties of the Sun. This study is based on a detailed analysis of UDs detected in 12 umbras belonging to 10 different sunspots using high-resolution data recorded by the Goode Solar Telescope at Big Bear Solar Observatory. We obtained the physical parameters (total intensity, diameter, eccentricity, lifetime, and dynamic velocity) of each UD and calculated correlation coefficients using linear and nonlinear approaches to reveal the relationships between these parameters. We found that: i) The diameter of UDs vary between 92.2 km and 246.5 km, the eccentricity varies between 0.02 and 0.65, the lifetimes of UDs vary from 0.75 to 120.00 min and the dynamic velocities vary from 0.01 km s−1 to 3.80 km s−1. ii) The intensity–diameter and diameter–eccentricity relationships show the highest degree of correlation, while the lowest linear correlation was obtained for the diameter–lifetime relationship and the lowest nonlinear correlation was obtained for the eccentricity–lifetime relationship. iii) In general, the nonlinear correlation coefficients are higher than the linear correlation without exception. iv) The linear and nonlinear correlation coefficients are very close to each other in the case of the diameter–eccentricity relation. v) While the average diameter, intensity, and eccentricity are related to the umbral area, the average lifetime and dynamic velocity of UDs are not dependent on the umbral area.