Analemma

This applet shows how analemma of Sun would vary as a function of various parameters. λ_p stands for perihelion position shown on slider from 0 to 360 deg. starting from 1st January, γ is the vernal equinox position (similar slider), ε is inclination of the earth's axis, e is the eccentricity of earth's orbit, φ is latitude of the observer and H is the hour angle (time after the local noon) in hours.

Play with the slider d to get shape of analemma.

Aniket Sule, Created with GeoGebra