Question

+ Sun fast 16M 1AM 12M 100 g ou Equation of time M 2M on 2 4 6 8 Sun slow - 10 121 1AM TTTTT -- Tropic of Cancer - I - 15 20 25 30X 191019 25 30 Declination of Sun LLALLULLLLLL TH SNITT February December Tropic of Capricom 10 15 20 25 30 The top horizontal or X-axis of the analemma marks the equation of time (in minutes) which measures the positive and negative deviations from the average 24 hour day length. Variations in day length result from a combination the tilt of the Earth's axis and the eccentricity of its orbit. A positive equation of time figure is often referred to as "fast-sun times" (most pronounced during October and November) as the length of the day is shortened. A negative equation of time figure is often referred to as "slow-sun times" (most pronounced during February and March) as the day is lengthened. The actual equation of time figure is calculated by subtracting the apparent solar day from the mean solar time (24 hours). The apparent solar day is measured by the length of time it takes for the Sun to make successive passes over a given meridian. Small differences between mean and apparent solar time accumulates day to day, resulting in an equation of time ranging from 14 minutes fast to 16 minutes slow over the course of the year.

Answer 1

DD TO Calculate Sun at zenith time nie required - 0 Sun declination » Latitude of Given place ☺ zenith angle = [ Latitude Declination ). (if sunn t = Adelition for southem hemi. espre -- Subtraction for Northern hemisphere (if on some hemisphere) 2 Copposite hen Moon sun angle = 90° - Zenith angle + 90 - Clatitude +la- declination)

e and latitude 'Northem hemisphere - 40°N | latitude - Derlid go-(02) 1 | 12'Pm & eand I 120 und Sun at bay Equation Zenith ogle zenith trome, (Q2 /Noon sun angle 11:56 Am. May 15 68• - 4 min oct 5 / 35° 45° | 11 lug Am | Feb 27 30° 113 min | 13:13pm (in 24 hrs) OR : 13pm. Mar 15 | 37° 430 + 9 min #3: 09 PM of logom April 17 31° 59. omin 12pm

Analemma is shaped like a lopsided figure erght instead of being an equally balanced figure eight because of following reasons- 0 The axial tilting of earth on it axis. © The cibitel eccentricity of plmet earth. © Difference between mean solar time and apperrent solar time, which is how long it takes for the sun to retum to its some position in the sky this side-to-side metion in analemma. These all lopsided places. effect eight together to make the analema and is unique for every