Analemma Calculator

Calculate the analemma - the figure-8 pattern formed by plotting the Sun's position at the same time each day throughout the year. This pattern combines the effects of the Equation of Time and solar declination.

Analemma Dimensions

Width (EoT range)

30.63 min

Height (Decl range)

46.87 deg

Max EoT

+16.38 min

Min EoT

-14.25 min

Key Dates

Spring Equinox

Mar 22

Decl: 0.33 deg

Fall Equinox

Sep 23

Decl: 0.25 deg

Winter Solstice

Jan 1

Decl: -23.06 deg

Analemma Data Points

DateEoT (min)Decl (deg)AltitudeAzimuth
Jan 1-2.90-23.0626.94 deg179.25 deg
Jan 6-5.09-22.5927.40 deg178.68 deg
Jan 11-7.13-21.9328.05 deg178.13 deg
Jan 16-8.98-21.0928.87 deg177.61 deg
Jan 21-10.60-20.0929.86 deg177.13 deg
Jan 26-11.94-18.9231.01 deg176.70 deg
Jan 31-13.00-17.6132.31 deg176.34 deg
Feb 5-13.74-16.1733.74 deg176.03 deg
Feb 10-14.15-14.6135.29 deg175.80 deg
Feb 15-14.25-12.9536.94 deg175.65 deg
Feb 20-14.03-11.2038.69 deg175.59 deg
Feb 25-13.51-9.3840.52 deg175.61 deg
Mar 2-12.72-7.5042.41 deg175.73 deg
Mar 7-11.69-5.5744.35 deg175.93 deg
Mar 12-10.46-3.6246.32 deg176.22 deg

Showing first 15 of 73 points

About the Analemma

The analemma is the figure-8 pattern traced by the Sun's position when photographed at the same time each day throughout a year. The horizontal width is caused by the Equation of Time (up to +/- 16 minutes), while the vertical height is caused by the change in solar declination (+/- 23.5 degrees). The two lobes are unequal because Earth is closest to the Sun in January, when orbital speed is highest.