month (synodic)-year (Gregorian) conversion

Conversion number between month (synodic) [mo] and year (Gregorian) [a, y, or yr] is 0.080852006556273. This means, that month (synodic) is smaller unit than year (Gregorian).

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from year (Gregorian) to month (synodic) conversion

Enter the number in month (synodic):

Decimal Fraction Exponential Expression

[mo]

eg.: 10.12345 or 1.123e5

Result in year (Gregorian)

precision	[info]
Decimal:	[!]
Exponential:

Calculation process of conversion value

1 month (synodic) = `(2551442.890) / (31556952)` = 0.080852006556273 year (Gregorian)
1 year (Gregorian) = `(31556952) / (2551442.890)` = 12.368276838052 month (synodic)
? month (synodic) × `(2551442.890 ("s"/"month (synodic)")) / (31556952 ("s"/"year (Gregorian)"))` = ? year (Gregorian)

High precision conversion

If conversion between month (synodic) to second and second to year (Gregorian) is exactly definied, high precision conversion from month (synodic) to year (Gregorian) is enabled.

Since definition contain rounded number(s) too, there is no sense for high precision calculation, but if you want, you can enable it. Keep in mind, that converted number will be inaccurate due this rounding error!

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month (synodic) to year (Gregorian) conversion chart

Start value:	[month (synodic)]
Step size	[month (synodic)]
How many lines?	(max 100)

visual:

month (synodic)	year (Gregorian)
0	0
10	0.80852006556273
20	1.6170401311255
30	2.4255601966882
40	3.2340802622509
50	4.0426003278137
60	4.8511203933764
70	5.6596404589391
80	6.4681605245019
90	7.2766805900646
100	8.0852006556273
110	8.8937207211901

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Multiple conversion

Enter numbers in month (synodic) and click convert button.
One number per line.

Converted numbers in year (Gregorian):
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Details about month (synodic) and year (Gregorian) units:

Convert Month (synodic) to other unit:

month (synodic)

Definition of month (synodic) unit: ≈ 29.530589 days. Synodic month = Cycle time of moon phases (example, from fool moon to next fool moon). This period is not constant and it is longer than moon rotation around Earth (sidereal month), because moon and Earth moves together around the Sun.

Convert Year (Gregorian) to other unit:

year (Gregorian)

Definition of year (Gregorian) unit: = 365.2425 d average. As the common year has 365 days, the Gregorian calendar with leap years compensate the deviation from the real, astronomical year. According to this calendar, every 4th year is a leap year, except for every 100th. But every 400th is a leap year. This means that there are 97 leap years in 400 year period. So according to Gregorian's calendar, one year has 365 + 97/400 days (average). This is not a perfect approach, but in 1000 year period, the defiation is only 0.3 days compared to the astronomical year. In the year 1582 Gregorian replaced the Julian calendar.

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	×10		[mo]