The Capon method serves as a powerful and robust data analysis tool when working on various kinds of ill-posed inverse problems. Besides the analysis of waves, the method can be used in a generalized way to compare actual measurements with theoretical models, such as Mercury's magnetic field analysis. In view to the BepiColombo mission this work establishes a mathematical basis for the application of Capon's method to analyze Mercury's internal magnetic field in a robust and manageable way.

The aerosol optical depth is a parameter widely used in remote sensing for the characterization of the atmospheric aerosol particles. The AERONET network was created by NASA for aerosol monitoring, satellite and model validation. The University of Valladolid manages since 2006 a calibration center of AERONET. The CÆLIS software tool, developed by UVa, was created to manage the data generated by the AERONET photometers. The AOD algorithm in CÆLIS is developed and validated in this work.