From the National Weather Service at Wakefield, VA, here are the sunrise and sunset times. As you inspect the table, you can see how the day has reached it’s shortest length on Dec 21st, but sun rise and sunset continue to get later and later because of the sun’s analemma:
- winter-analemma.jpg (99.77 KiB) Viewed 9962 times
SUNRISE AND SUNSET TIME EASTERN STANDARD TIME WITH THE LENGHT OF DAY IN HOURS AND MINUTES
Time shown here are to the nearest minute so changes in seconds aren’t always shown
DECEMBER 13 2017......SUNRISE...709 AM EST...SUNSET...449 PM EST...DAY LENGTH 9 HR 40 MIN
DECEMBER 14 2017......SUNRISE...710 AM EST...SUNSET...449 PM EST...DAY LENGTH 9 HR 39 MIN
DECEMBER 15 2017......SUNRISE...711 AM EST...SUNSET...450 PM EST...DAY LENGTH 9 HR 39 MIN
DECEMBER 16 2017......SUNRISE...711 AM EST...SUNSET...450 PM EST...DAY LENGTH 9 HR 39 MIN
DECEMBER 17 2017......SUNRISE...712 AM EST...SUNSET...450 PM EST...DAY LENGTH 9 HR 38 MIN
DECEMBER 18 2017......SUNRISE...712 AM EST...SUNSET...451 PM EST...DAY LENGTH 9 HR 38 MIN
DECEMBER 19 2017......SUNRISE...713 AM EST...SUNSET...451 PM EST...DAY LENGTH 9 HR 38 MIN
DECEMBER 20 2017......SUNRISE...714 AM EST...SUNSET...452 PM EST...DAY LENGTH 9 HR 38 MIN
DECEMBER 21 2017......SUNRISE...714 AM EST...SUNSET...452 PM EST...DAY LENGTH 9 HR 38 MIN
DECEMBER 22 2017......SUNRISE...715 AM EST...SUNSET...453 PM EST...DAY LENGTH 9 HR 38 MIN
DECEMBER 23 2017......SUNRISE...715 AM EST...SUNSET...453 PM EST...DAY LENGTH 9 HR 38 MIN
DECEMBER 24 2017......SUNRISE...716 AM EST...SUNSET...454 PM EST...DAY LENGTH 9 HR 38 MIN
DECEMBER 25 2017......SUNRISE...716 AM EST...SUNSET...454 PM EST...DAY LENGTH 9 HR 38 MIN
DECEMBER 26 2017......SUNRISE...716 AM EST...SUNSET...455 PM EST...DAY LENGTH 9 HR 39 MIN
DECEMBER 27 2017......SUNRISE...717 AM EST...SUNSET...456 PM EST...DAY LENGTH 9 HR 39 MIN
DECEMBER 28 2017......SUNRISE...717 AM EST...SUNSET...456 PM EST...DAY LENGTH 9 HR 39 MIN
DECEMBER 29 2017......SUNRISE...717 AM EST...SUNSET...457 PM EST...DAY LENGTH 9 HR 40 MIN
DECEMBER 30 2017......SUNRISE...717 AM EST...SUNSET...458 PM EST...DAY LENGTH 9 HR 41 MIN
DECEMBER 31 2017......SUNRISE...718 AM EST...SUNSET...458 PM EST...DAY LENGTH 9 HR 40 MIN
JANUARY__ 1 2018......SUNRISE...718 AM EST...SUNSET...459 PM EST...DAY LENGTH 9 HR 41 MIN
JANUARY__ 2 2018......SUNRISE...718 AM EST...SUNSET...500 PM EST...DAY LENGTH 9 HR 42 MIN
JANUARY__ 3 2018......SUNRISE...718 AM EST...SUNSET...501 PM EST...DAY LENGTH 9 HR 43 MIN
JANUARY__ 4 2018......SUNRISE...718 AM EST...SUNSET...502 PM EST...DAY LENGTH 9 HR 44 MIN
JANUARY__ 5 2018......SUNRISE...718 AM EST...SUNSET...503 PM EST...DAY LENGTH 9 HR 45 MIN
JANUARY__ 6 2018......SUNRISE...718 AM EST...SUNSET...503 PM EST...DAY LENGTH 9 HR 45 MIN
JANUARY__ 7 2018......SUNRISE...718 AM EST...SUNSET...504 PM EST...DAY LENGTH 9 HR 46 MIN
JANUARY__ 8 2018......SUNRISE...718 AM EST...SUNSET...505 PM EST...DAY LENGTH 9 HR 47 MIN
JANUARY__ 9 2018......SUNRISE...718 AM EST...SUNSET...506 PM EST...DAY LENGTH 9 HR 48 MIN
JANUARY_ 10 2018......SUNRISE...718 AM EST...SUNSET...507 PM EST...DAY LENGTH 9 HR 49 MIN
JANUARY_ 11 2018......SUNRISE...718 AM EST...SUNSET...508 PM EST...DAY LENGTH 9 HR 50 MIN
JANUARY_ 12 2018......SUNRISE...718 AM EST...SUNSET...509 PM EST...DAY LENGTH 9 HR 51 MIN
JANUARY_ 13 2018......SUNRISE...717 AM EST...SUNSET...510 PM EST...DAY LENGHT 9 HR 53 MIN
JANUARY_ 14 2018......SUNRISE...717 AM EST...SUNSET...511 PM EST...DAY LENGHT 9 HR 54 MIN
JANUARY_ 15 2018......SUNRISE...717 AM EST...SUNSET...512 PM EST...DAY LENGTH 9 HR 55 MIN
JANUARY_ 16 2018......SUNRISE...716 AM EST...SUNSET...513 PM EST...DAY LENGTH 9 HR 57 MIN
So why did anyone care about the analemma, because it is one of the forest of corrections needed to determine what time it is exactly. Up to the 1960’s, the rotation of the earth was the most precise standard of time keeping until the invention of the atomic clock. The rotation of the earth was measured by when a star transited the center of field of a Meridian Circle at the observers location.
https://en.wikipedia.org/wiki/Meridian_circleBecause the mathematics involved are an equation, if you know the location, you can determine the time exactly. Conversely, if you know the time exactly, you can determine the observer’s location exactly. But this leads to a “chicken or the egg” conundrum which was solved in 1884 when the Royal Observatory, Greenwich, England, became the international reference for determining time.
https://en.wikipedia.org/wiki/Royal_Obs ... _GreenwichSo with the development of the chronometer, a navigator could take his time standard and determine his location on the oceans (also on land as well):
https://en.wikipedia.org/wiki/Marine_chronometerThis is how I became familiar with the subject, I’m old enough that twice, I was the Navigator of a U.S. warship and my responsibilities included determining the ship’s position via celestial navigation. The development of GPS was still a top secret project at DARPA. I did work with an early predecessor of GPS, call TRANSIT which would give a fix (your location and time) about once every four hours.