WORK IN PROGRESS: CALENDAR MANIPULATION/CORRECTION
Calendar := 13 Month(s)
12 Months := 28 Day(s)
1 Month (Sol Month) := 29 Day(s) regularly & 30 Day(s) during a Leap Year or every 4th year.
WHY?:
[12 Months * 28 Days = 336 Days];
[336 Days + 29 Days = 365 Days];
Every date would be the same numerically every year and always the same day of the week i.e. if Jan. 1st were on a Monday, then every Jan 1st would be a Monday no matter the year. The months would be more accurately aligned with exactly 4 weeks every month 4*7 = 28. The 29th day, and the 30th Leap day would not have an assigned day of the week. The calendar would be virtually perfect and sensible with the correction of earth’s rotation being corrected on the 30th day of the last month, every leap year.
Year One: Total 365 Day(s)
Year Two: Total 365 Day(s)
Year Three: Total 365 Day(s)
Year Four[Leap]: Total 365.9644 Day(s) or [365 Days] & [One Leap Day] plus or minus the extra Minute(s) needed to correct and align the clock with the Solar Year of Earth determined by NASA and Quantum Clock(s).
Death of the 13 Month Calendar
The Quest for a Perfect Calendar
NASA’S LEAP SECOND:
If the day seems a little longer than usual on Saturday, June 30, 2012, that's because it will be. An extra second, or "leap" second, will be added at midnight to account for the fact that it is taking Earth longer and longer to complete one full turn—a day—or, technically, a solar day.
"The solar day is gradually getting longer because Earth's rotation is slowing down ever so slightly," says Daniel MacMillan of NASA's Goddard Space Flight Center in Greenbelt, Md.
Scientists know exactly how long it takes Earth to rotate because they have been making that measurement for decades using an extremely precise technique called Very Long Baseline Interferometry (VLBI). VLBI measurements are made daily by an international network of stations that team up to conduct observations at the same time and correlate the results. NASA Goddard provides essential coordination of these measurements, as well as processing and archiving the data collected. And NASA is helping to lead the development of the next generation of VLBI system through the agency's Space Geodesy Project, led by Goddard.
BACKGROUND JPL MATH:
The length of a year is based on how long it takes a planet to revolve around the Sun. Earth takes about 365.2422 days to make one revolution around the Sun. That's about six hours longer than the 365 days that we typically include in a calendar year. As a result, every four years we have about 24 extra hours that we add to the calendar at the end of February in the form of leap day. Without leap day, the dates of annual events, such as equinoxes and solstices, would slowly shift to later in the year, changing the dates of each season. After only a century without leap day, summer wouldn’t start until mid-July!
But the peculiar adjustments don't end there. If Earth revolved around the Sun in exactly 365 days and six hours, this system of adding a leap day every four years would need no exceptions. However, Earth takes a little less time than that to orbit the Sun. Rounding up and inserting a 24-hour leap day every four years adds about 45 extra minutes to every four-year leap cycle. That adds up to about three days every 400 years. To correct for that, years that are divisible by 100 don't have leap days unless they’re also divisible by 400. If you do the math, you'll see that the year 2000 was a leap year, but 2100, 2200 and 2300 will not be.
NASA CALENDAR CORRECTIONS:
The tropical year is the period of time required by the sun to pass from vernal equinox to vernal equinox. It is equal to 365 days, 5 hours, 48 minutes, and 46 seconds, or 365.2422 days. The tropical year is used to keep track of seasons, planting, and harvesting. Let's try to develop a calendar with an integral number of days per calendar year that will keep track of the tropical year and not get out of step with the seasons over time.
We begin with a calendar of 365 days per year. Our calendar year is shorter than the tropical year by 0.2422 days. So to correct (approximately), we add 1 day every four years (leap year). Thus, three calendar years are 365 days long; the fourth calendar year is 366 days long. The average length of the calendar year in days now becomes: (3 x 365 + 366)/4 = 365.25 days.
This calendar system was actually instituted for use in the Roman Empire by Julius Caesar around 46 BC. But since the Julian calendar was 0.0078 days (11 minutes and 14 seconds) longer than the tropical year, errors in timekeeping gradually accumulated. Between 46 BC and 1582 AD, this accumulated error amounted to a total of: 0.0078 x (1582 + 46) = 12.7 days. In 1582, Pope Gregory XIII reformed the calendar by specifying that all years divisible by 4 are to be leap years except for century years, which must be divisible by 400 to be leap years. Now, in 1200 years:
A total of 300 years (including all century years {since any century year = N x 100, where N = an integer}) are divisible by 4, and are therefore candidate leap years.
A total of 900 years are not divisible by 4, and are therefore regular years.
Twelve century years are possible leap years.
But only 3 century years (out of the 12) are divisible by 400 (i.e., {400, 800, 1200}, {1600, 2000, 2400}, etc.), so only 3 century years are actually leap years9 .
Since 12 - 3 = 9, Gregory's rule eliminates 9 leap years out of 1,200. Thus: 300 - 9 = 291 years are actual leap years, and 900 + 9 = 909 years are regular years. The average length of the year becomes (291 x 366 + 909 x 365)/1,200 = 365.2425 days, with an error of 365.2425 - 365.2422 = 0.0003 days per year, or one day every 3,333.3 years.
The Gregorian calendar came into use in Roman Catholic countries in October 1582 when the seasons were brought back into step by eliminating 10 days from the calendar then in use. Thursday, October 4, was followed by Friday, October 15 (which caused some consternation among the populace, especially those with birthdays on the eliminated dates!). Britain and its colonies did not introduce the Gregorian calendar until September 1752 by which time an additional one day correction was required (actually, {1752 - 1582} x 0.0078 = 1.33 day). Some British documents from the period before the British reform actually contain two dates, an old and a new.