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168
EPIGRAPHIA INDICA.
[VOL. XV.
a.
In my reckoning, 6 and c being calculated from perigee instead of from apogee, these are a=4207.2, b=565-8, c=271.6.
Worked, with only one decimal, by Tables LVII A, B, C below, the result is the same; thus
w-d.
b.
c. For cent. 48 . . . 5
2 941:8
123.5
278-7 ,, year 6
* 1942-7
515-0
998-5 True Mēsba-samk, day . 5 9322.7
927-4
994-5 3 (Tues.) 42072
565.9
271:7 278. Table LVII B. This Table shews the increase of a, b, c for each year of a century, corresponding with Prof. Jacobi's Vol. XI, Table X, but in greater detail, derived from use of the figures given in the heading of Table LIV A.
279. Table LVII C. Col. 1 shews the number of day's interval between mean sunrise of true Mēsha-samkrānti day, “Mēsha 0," and mean sunrise of the day which in each year was coupled with the first tithi of the luni-solar year and was called the day of "Chaitra śukla 1." Col. 2 gives the number of the day of the solar month Mina (Panguni in the Tamil country); col. 3, the week-day; cols. 4, 5, 6, the value of a, b, c at mean sunrise of that day. The a, b, c of mean sunrise on the day Chaitra sukla 1 are found by adding to the a, b, c of the K. Y. century (Table LVII A) and of the year (Table LVII B) the values of a, b, c given in Table LVII O for the number of days intervening between the day of Chaitra sukla 1 in the given year and the day of true Měsha-samkrānti (Table LX, cols. 13, 19,-figures in brackets). This work, however, need not be carried out by epigraphists, since the required values of a, b, c for Chaitra sukla 1 in each year are stated in Table LX, cols. 23, 24, 25.
These values being known, the tithi-index for any day (mean sunrise) in the given year is easily found, as in work by the Indian Calendar, by addition to them of the a, b, c for intervening days given in Table LIV A; and for any moment of any day by use of Table LIV B.
Tables LVIII A, B, O, D. Duration of true solar wonths. 280. Table LVIII A is, for the Siddhānta-Siromani, wbat Tables XVIII A, B in my Indian Chronography are for the Arya- and Surya-Siddhāntas. It states the duration of each true solar month from sankranti to samkrānti, and the collective duration from true Mēshasamkrānti to each true sankranti, with the corresponding increases of a, b, c. By the aid of this Table are calculated the solar elements of the date and the intercalations and suppressions of lunar months. The Table is designed to suit the year K. Y. 4500 expired, A.D. 13991400,--the year of my Table XLVIII in Vol. XIV above. The differences in the duration of months in other years, caused by the shift of the san's apeis, are dealt with in Table LVIII D.
Tables LVIII B and Care supplementary and explain themselves. They will be found very useful in calculation for the sun's mean anom., c, and the corresponding "equation c" at the several sankrantis and at true Mosba-sankranti in different years.
Table LVIII D shews how the shift of the sun's apsis affects the duration of the several solar months in different years, and the a, b, c at the several solar sankrintis. The change given in the Table is that for an interval of three centuries on oither side of K. Y. 4500, and in very close cases sbould be applied to the figures arrived at by use of the other Tables-cases, that is, where after use of those figures it seems doubtful whether a certain luvar month was intercalated or suppressed.
