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We report air temperature and humidity changes during the two solar eclipsesof 26 December 2019, and of 21 June 2020, respectively, in the cities ofAl-Hofuf and Riyadh in Saudi Arabia. During the December eclipse the Sun rosealready eclipsed (91.53% of the area covered) while the June eclipse, althoughalso annular in other places of the Arabian Peninsula, was just partial atRiyadh (area covered 72.80%). This difference apparently affected the observedresponse on the recorded variables of temperature, relative humidity (RH) andvapor pressure (VP) in the two events. Change in these variables went unnoticedfor the first eclipse since it was within the natural variability of the day;yet for the other, they showed clearly some trend alterations, which we analyzeand discuss. A decrease in temperature of 3.2 {\deg}C was detected in Riyadh;however, RH and VP showed an oscillation that we explain in the light of asimilar effect reported in other eclipses. We found a time lag of about 15 minmeasured from the eclipse central phase in this city. We made an inspection ofrelated fluctuations and dynamics from the computed rates of the temporalvariation of temperature and RH. Trying to identify the influence of solareclipses in similar environments we have made a broad inter-comparison withother observations of these variables in the Near East, northern Africa and inthe United States. We compare our results with results obtained by otherauthors working with the December eclipse but in the United Arab Emirates andOman, which showed dissimilar results. These inter-comparisons show howeffectively the lower atmosphere can respond to a solar eclipse within a desertenvironment and others similar. As a preamble, a historical revision oftemperature and humidity in the context of eclipse meteorology is alsoincluded.

Air temperature and humidity during the solar eclipses of 26 December  2019 and of 21 June 2020 in Saudi Arabia and in other eclipses with similar  environments