Earth-Sun Dynamics

This DATASET includes <b>velocity</b>, <b>acceleration</b>, <b>jerk</b>, and <b>snap </b>(1st to 4th derivatives of position) for the <i>solar declination,</i> but also for the <i>Equation of Time</i>. The excel file I provide starts by assessing solar declination and the Equation of Time according to the geometric model of Spencer (1971), which is based on Fourier Series. Then the first to fourth time derivatives (time in days) of both was calculated. The data is based on a solar sundial noon analemma, so the Equation of Time has switched signs. Solar declination was not switched in signs.This data follows the dynamic of the "path of the subsolar point" (analemma) as a dynamic cycle and relates such path with another dynamical cycle: <i>Earth's rotation</i>. I assessed Earth's rotational speed, and Earth's rotational acceleration, then the speed and acceleration of the subsolar point (or Natural Beam radiation speed) across longitude.A separated EXCEL's sheet within the same file was used to annotate the name for each of the variables, as well as all the formulae used to estimate each individual cell of the data file.Thank you for reading, enjoying, interpreting and using these data. José A. RuedaOaxaca, Mexico. May 12th, 2025.<br>...Spencer, J.W. (1971) Fourier Series Representation of the Position of the Sun. Search, 2, 162-172.