Using Kepler's Second Law, I have computed the following lengths for
such months. Orbital eccentricity is 0.093 and my year begins at
northern spring equinox, L_s=0 (110 degrees after perihelion).
I've done no error analysis yet; I would like to know how sensitive
these months are to an error in the last digit of the eccentricity
or the phase angle.
month# days A B C
0 30.01 30 30 28
1 31.30 31 31 28
2 32.37 32 32 28
3 33.10 33 33 28
4 33.41 33 33 28
5 33.25 33 33 28
6 32.66 33 32 28
7 31.69 32 31 28
8 30.46 31 30 28
9 29.10 29 29 28
10 27.73 28 27 28
11 26.43 26.6 26 28
12 25.28 25 25.6 28
13 24.35 24 25 28
14 23.65 24 24 28
15 23.20 23 24 27
16 23.03 23 24 27
17 23.11 23 24 27
18 23.47 24 24 27.6
19 24.09 24 25 28
20 24.95 25 25 28
21 26.03 26 26 28
22 27.28 27 27 28
23 28.64 29 28 28
I hope I haven't blundered somewhere!
In column A, I've rounded according to the rule of largest remainder:
those months with a fraction larger than .43 are rounded up, those with
a smaller fraction are rounded down, and month 11 is leap-month, with
an extra day in three years out of five.
In column B, to make the months slightly more equal in length, the
longer months are rounded down, the shorter months rounded up.
In column C, I took B a step further: the shorter months get 27 days,
the longer months 28.
Comments?
I'd like to name each month for the brightest star (within the tropics)
to cross the midnight line in that month; that might be an interesting
exercise for someone with access to an appropriate stellar database.
Anton Sherwood *\\* +1 415 267 0685 *\\* DASher@netcom.com