Indian Chronology (Solar, Lunar and Planetary): A Practical Guide to the Interpretation and Verification of Tithis, Nakshatras, Horoscopes and other Indian Time-records, B.C. 1 to A.D. 2000 c31: Chapter XXV. Use of Tables VII, VI and Table V—Lunar Cycles
Indian Chronology (Solar, Lunar and Planetary): A Practical Guide to the Interpretation and Verification of Tithis, Nakshatras, Horoscopes and other Indian Time-records, B.C. 1 to A.D. 2000 c31
- Language
- English
Chapter XXV. Use of Tables VII, VI and Table V—Lunar Cycles
c31.2
225. The uses of these important tables will have become familiar from the explanation of Table VIII, contained in Sec. 223 and elsewhere. They enable us in fact to use Table VIII, whether for the Sûrya Siddhânta or for the Ârya Siddhânta, and whether for Solar or for Luni-Solar dates. Instead of giving constants, as Prof. Jacobi has done, for K.Y. 3100, 3200, etc., we have given constants for K.Y. 3101, 3201, etc., being the equivalents of A.D. century years. We thereby arrive at a very simple, and at the same time handy, method of determining the A.D. month, day and fraction of day, marking the commencement of any Hindu solar year. We believe it is the first time that this method has been used for this particular purpose.
c31.3
226. At the end of Table VII are given constants for any period of 100, any period of 200, any period of 300 years, etc., up to a period of 3000 years. These figures lead us to a knowledge of the principal lunar cycles in the Indian Calendar, that is, periods of years after which new moons happen on the same day and more or less at the same hour of the Indian solar year. Thus we find from Table VII that, according to the Sûrya Siddhânta, a new moon after 19 complete S. Yrs. recurs on the same day of the S.Y. but 5 hrs. 24' earlier.
c31.4
| Do. | 122 | do. | do. | do. | do. | 2 | 8' later. |
| Do. | 385 | do. | do. | do. | do. | | 55' " |
| Do. | 648 | do. | do. | do. | do. | | 17' earlier. |
| Do. | 1315 | do. | do. | do. | do. | 6 | " |
| Do. | 2329 | do. | do. | do. | do. | | 4' later. |
c31.5
*N.B.—2300, and 1300 years are the two most important lunar cycles according to Dr. Grattan Guinness, but he takes for comparison the tropical year and the Synodical month.*
c31.6
227. Under moon's anomaly the most important cycle is that of 43 years, as after 43 years, the anomaly increases by only .00458 of a day, i.e., 6 minutes and 3½ seconds.
c31.7
228. After 46 years, mean new moons occur just 1 day 2 minutes and 3 seconds later. This is a useful fact to remember.
c31.8
TABLE V.
c31.9
229. The exact method of using Table V for determining the ending moments of Nakshatras and Yogas is not explained, because the first two-thirds of this table are hardly necessary if Table XI is used. The third portion of Tab. V "Sun's Longitude for Nakshatras and Yogas" may be used in combination with the last column of Tab. VIII for determining the nakshatra concurrent with a tithi. Numerous examples of this method are given in Secs. 36, 49 and elsewhere, but our readers will probably prefer to use the alternative method provided by Tables XVII-A and XVII-C.
c31.10
230. Multiplication Table for Jupiter's Samvatsara.—According to the Sûrya Siddhânta, Jupiter makes 364,220 revolutions (without bîja or correction) and 364,212 revolutions (with bîja or correction) in a yuga of 4,320,000 years. This means that the mean period of revolution of Jupiter is, with bîja, 4332·41581277 days, and without bîja, 4332·32065235 days. Each of these periods is nearly 12 years and a Jovian month or 1/12 of the period of Jupiter's revolution is very nearly equal to a solar year. The Jovian month is therefore called in ordinary language a Jovian year and there are 1·0117 Jovian years in a solar year. Also a mean solar day = ·00277 of a Jovian year.
c31.11
The multiplication table of Jupiter's samvatsaras is merely the multiplication of each of these quantities from 1 to 99. For further particulars regarding Jovian years, see sections 97 to 106 supra.