The Measurement of Solar Diameter and Limb Darkening Function with the Eclipse Observations. Thesis work

TL;DR

This paper introduces a novel ground-based high-resolution astrometric method to measure the solar diameter and limb darkening function using eclipse observations, leveraging Baily's Bead luminosity and satellite lunar edge data.

Contribution

A new method combining eclipse videos and satellite lunar edge profiles for precise solar diameter and limb darkening measurements.

Findings

Detailed solar limb profile obtained from 2010 eclipse videos.

Results suggest reevaluation of historical eclipse observations.

Method enhances accuracy of solar diameter measurements.

Abstract

A discussion of the solar diameter and its variations must be linked to the limb darkening function (LDF). We introduce a new method to perform high resolution astrometry of the solar diameter from the ground, through the observations of eclipses, using the luminosity evolution of Baily's Bead and the profile of the lunar edge available from satellite data. The method proposed is applied for the videos of the eclipse on 15 January 2010 recorded in Uganda and in India. We obtained a detailed profile constraining the inflection point position. The result suggests reconsidering the evaluations of the historical eclipses observed with a naked eye.