7ae9b717-34a4-4bc1-b5f1-d37634ae1c15 17 3 5 decimal

&[DATE] &[TIME] - &[FILENAME]

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The Analemma

You must visit the web for many descriptive Analemma photos. In short: Analemma is the observed path of the sun through the year. ... EOT(N) & δ(N) sources not recorded.

N EOT 7.9 2 π * N 3 - (* 365 / sin * 9.9 22 π * N 355 - (* 365 / (* sin * + (- :

EOT i 1366 range vx i el i : vy i el i EOT eval : 21 line for vx vy augment 21 line :

EOT EOT :

1rst/last day minutes

N Day number ≡

EOT 12 el EOT 3662 el 21 mat 3.3883 - 3.3883 - 21 mat

minmax 16.778 14.616 - 21 mat ≡

EOT minutes ≡

EOT(N) = Equation of Time ...min/day

EOT 0 2 1 sys

δ(n) is the current declination of the sun. Note that the sun declination is related to the local latitude and converted in clock hour provides the local daylight.

N δ 23.44 deg * - sin 360 deg * 365.24 / N 10 + (* 360 deg * π / 0.0167 * 360 deg * 365.24 / N 2 - (* sin * + cos * asin :

Sun i 1366 range vx i el i : vy i el i δ deg / eval : 21 line for vx vy augment 21 line :

Sun Sun :

box 14.616 - 23.44 16.778 23.44 16.778 23.44 - 14.616 - 23.44 - 14.616 - 23.44 52 mat :

A EOT 2 col Sun 2 col augment :

----------------day explore-----------------=>

J 90 :

XY A J 1 el A J 2 el o 8 red 15 mat :

J A J 1 el A J 2 el Sun J 1 el Sun J 2 el 22 mat 12 mat 90 4.9414 - 4.1476 90 4.1476 22 mat 12 mat

xy Sun J 1 el Sun J 2 el o 8 red 15 mat :

δ(N) = declination of the sun °deg/day

Sun 0 xy 3 1 sys

Analemma

A XY box 4 1 sys

N 366 Δ / :

Δ 3 :

N 122

t x Δ t * :

t y 7.9 2 π * Δ t * 3 - (* 365 / sin * 9.9 22 π * Δ t * 355 - (* 365 / (* sin * + (- :

t y1 23.44 deg * - sin 360 deg * 365.24 / Δ t * 10 + (* 360 deg * π / 0.0167 * 360 deg * 365.24 / Δ t * 2 - (* sin * + cos * asin deg / :

τ 0 N range :

EOT(N) = Equation of Time ...minutes/day

EOT 0 t x t y . 20 red 1 5 mat 3 1 sys

δ(N) = declination of the sun °deg/day

Sun 0 t x t y1 . 20 red 1 5 mat 3 1 sys

Analemma

A t 0 ≡ path t y t y1 . 10 red 1 5 mat : path path t y t y1 . 10 red 1 5 mat stack : if box 4 1 sys