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 c4: Addenda
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 c4
- Language
- English
Contents
- c4.s1 Section 6 of Text and Table VI — 4 parts
- c4.s2 Table XVII — 15 parts
- c4.s3 Table XI—B. Shortest Interval in Days, Ghatikas and Palas — 31 parts
- c4.s4 Table XI-D. Shortest Interval in Days, from New-Moon to Ending of Each Nakshatra and Yoga — 14 parts
Addenda
Section 6 of Text and Table VI
c4.s1.1
Surya Siddhanta Constants for Centuries from 0 Kaliyuga to 3101 K.Y. (B.C. 3102 to B.C. 1)
c4.s1.2
| Year B.C. | Kaliyuga | Commence-ment of Solar Year. | First New Moon in Solar Year. | 's anomaly at commencement of Solar Year. | Year B.C. | Kaliyuga | Commence-ment of Solar Year. | First New Moon in Solar Year. | 's anomaly at commencement of Solar Year. |
| | | Month and date. | Frac-tion day. | | | | Month and date. | Frac-tion day. | |
| 3102 B.C. | 0 | 15F | .57924 | 2.17013 | 4.71797 | 1501 B.C. | 1601 | 29F | .84837 | 17.13408 | 20.26802 |
| 3101 | 1 | 15F | .83800 | 20.80902 | 11.76692 | 1401 | 1701 | 1M | .72402 | 20.59572 | 8.74421 |
| 3001 | 101 | 16F | .71366 | 24.27066 | 0.24311 | 1301 | 1801 | 2M | .59967 | 24.05736 | 24.77498 |
| 2901 | 201 | 17F | .58980 | 27.73230 | 16.27388 | 1201 | 1901 | 3M | .47532 | 27.51900 | 13.25117 |
| 2801 | 301 | 18F | .46494 | 1.66335 | 4.75007 | 1101 | 2001 | 4M | .35097 | 1.45005 | 1.72736 |
| 2701 | 401 | 19F | .34059 | 5.12499 | 20.78084 | 1001 | 2101 | 5M | .22662 | 4.91169 | 17.75813 |
| 2601 | 501 | 20F | .21624 | 8.58663 | 9.25703 | 901 | 2201 | 6M | .10226 | 8.37393 | 6.23432 |
| 2501 | 601 | 21F | .09189 | 12.04827 | 25.28780 | 801 | 2301 | 6M | .97791 | 11.83557 | 22.26509 |
| 2401 | 701 | 21F | .96754 | 15.50991 | 13.76399 | 701 | 2401 | 7M | .85356 | 15.29721 | 10.74128 |
| 2301 | 801 | 22F | .84319 | 18.97155 | 2.24018 | 601 | 2501 | 8M | .72921 | 18.75885 | 26.77205 |
| 2201 | 901 | 23F | .71883 | 22.43319 | 18.27095 | 501 | 2601 | 9M | .60486 | 22.22049 | 15.24824 |
| 2101 | 1001 | 24F | .59448 | 25.89483 | 6.74714 | 401 | 2701 | 10M | .48051 | 25.68213 | 3.72443 |
| 2001 | 1101 | 25F | .47013 | 29.35647 | 22.77791 | 301 | 2801 | 11M | .35615 | 29.14377 | 19.75520 |
| 1901 | 1201 | 26F | .34578 | 3.28752 | 11.25410 | 201 | 2901 | 12M | .23180 | 3.07482 | 8.23139 |
| 1801 | 1301 | 27F | .22143 | 6.74916 | 27.28487 | 101 | 3001 | 13M | .10745 | 6.53646 | 24.26216 |
| 1701 | 1401 | 28F | .09708 | 10.21080 | 15.76106 | 1 | 3101 | 13M | .98310 | 9.99810 | 12.73835 |
| 1601 | 1501 | 28F | .97273 | 13.67244 | 4.23725 | | | | | | |
c4.s1.3
*N.B.*—Odd years in centuries B.C. should be converted into positive years before using Table VII. See instructions in *N.B.* to Table XXII.
c4.s1.4
It will be seen that the Solar Year 0 K.Y. commenced on Feb. 15.57924. If to this be added the Sodhya of 2.1707 days we have, Feb. 15.5792+2.1707 = Feb. 17.75, or midnight between 17th and 18th Feb. B.C. 3102, which was the moment of commencement of the Era, 0 Kaliyuga, according to Surya Siddhanta. See foot-note on p. (3) of the Text.
Table XVII
c4.s2.1
Mean Places of Major Planets at Commencement of each Century from B.C. 1601 to B.C. 1 (K.Y. 1501 to K.Y. 3101.)
c4.s2.2
| | | Mars. | Mercury. | Jupiter. | Venus. | Saturn. |
| B.C. 1601 | K.Y. 1501 | 6.3122 | 73.0963 | 207.2519 | 359.5156 | 320.0274 |
| 1501 | 1601 | 66.8392 | 149.1143 | 1.9965 | 198.5007 | 101.9343 |
| 1401 | 1701 | 127.3662 | 225.1323 | 156.7411 | 37.4856 | 243.8412 |
| 1301 | 1801 | 187.8932 | 301.1503 | 311.4857 | 236.4709 | 25.7481 |
| 1201 | 1901 | 248.4202 | 17.1683 | 106.2303 | 75.4560 | 167.6550 |
| 1101 | 2001 | 308.9472 | 93.1863 | 260.9749 | 274.4411 | 309.5619 |
| 1001 | 2101 | 9.4742 | 169.2043 | 55.7195 | 113.4262 | 91.4688 |
| 901 | 2201 | 70.0012 | 245.2223 | 210.4641 | 312.4113 | 233.3757 |
| 801 | 2301 | 130.5282 | 321.2403 | 5.2087 | 151.3964 | 15.2826 |
| 701 | 2401 | 191.0552 | 37.2583 | 159.9533 | 350.3815 | 157.1895 |
| 601 | 2501 | 251.5822 | 113.2763 | 314.6979 | 299.3666 | 299.0964 |
| 501 | 2601 | 312.1092 | 189.2943 | 109.4425 | 28.3517 | 81.0033 |
| 401 | 2701 | 12.6362 | 265.3123 | 264.1871 | 227.3368 | 222.9102 |
| 301 | 2801 | 73.1632 | 341.3303 | 58.9317 | 66.3219 | 4.8171 |
| 201 | 2901 | 133.6902 | 57.3483 | 213.6763 | 265.3070 | 146.7240 |
| 101 | 3001 | 194.2172 | 133.3663 | 8.4209 | 104.2921 | 288.6309 |
| 1 | 3101 | 254.7442 | 209.3843 | 163.1655 | 303.2772 | 70.5378 |
c4.s2.3
EXPLANATION.
c4.s2.4
With the aid of these two tables it is possible to calculate solar dates, tithis and nakshatras for any date between B.C. 3102 and B.C. 1 and also any horoscope from B.C. 1601 to B.C. 1. The places of planets' nodes for any of these years can be easily deduced from the places given in Table XVII in the body of the book for the centuries 1 B.C. to A.D. 2000.
c4.s2.5
It was thought unnecessary to carry the record of the mean places of planets further back than B.C. 1601, first because it is extremely doubtful whether planetary places were noted in India even roughly before that date, and secondly, because any person wishing to ascertain the mean places of planets at an earlier date can easily do so by noting in the above table the increase of mean sidereal longitude of any planet for 100, 200, 300 . . . . . etc., years, and deducting this increase from the mean place for B.C. 1601.
c4.s2.6
We will now present the reader with the working of two interesting problems in B.C. dates: our examples are taken from Dr. Fleet's article "The day on which Buddha died" in the Journal of the Royal Asiatic Society for 1909.
c4.s2.7
I. *The day on which Buddha died* :—B.C. 483, Karttika Sukla 8.
c4.s2.8
| | Commencement of Solar year. | First New Moon in Solar year. | Moon's Anom. at commencement of Solar Year. |
| (Contents p. 4) | B.C. 501 | March ... 9.60 | 22.22 | 15.25 |
| (Table VII, p. 7) | Add for 18 years. | .66 | 10.66 | 16.66 |
| | B.C. 483 | March ... 10.26 | 32.88 | 31.91 |
| | | | 29.53 (Syn. Mon.) | 27.55 (1 Anom. month) |
| | | | 3.35 | 4.36 |
| | | | | 3.35 |
| | | | | 7.71 (Moon's Anomaly at First New-moon in Solar year B.C. 483.) |
c4.s2.9
Table VIII (Addition for Karttika Sukla 8 in a year in which some previous month was adhika * is the same as that for Sukla 8 of the next month Margasira).
c4.s2.10
| | | 214.59 | 21.71 |
| | | 217.94 | 29.42 |
| | | | 27.55 (1 Anom. month) |
| | | | 1.87 |
| Sun's Equation for 218 days (Eye-Table) | -.13 | | -.13 (Sun's Equation) |
| Moon's Equation for 1.74 days (Eye-Table) | -.15 | | 1.74 |
| | Sum -.28 | | |
| | | -.28 | |
| | | 217.66 | |
| Add commencement of Solar year | ... | ... March 10.26 | |
| | | " 227.92 | |
c4.s2.11
By Table VIII (p. 11), 227 days from 1 March=13 Oct., and .92 day =(by Eye-Table) 22 hours. ∴ On Dr. Fleet's hypothesis, the tithi on which Buddha died ended on 13 Oct., B. C. 483, at 22 hrs. after Sunrise =(according to our reckoning) 4 A.M. on 14th Oct.
c4.s2.12
II. *Required the day of the Summer Solstice in the year B.C. 483, (i.e., the commencement of the Buddhist vassa in that year,)*
c4.s2.13
The Summer Solstice happens when the sun is at 90° Tropical Longitude. Table XVII-A. gives the Sun's sidereal longitude for every complete day of the Solar year, while the table in Sec. 284, p. (103) of the text gives us the difference between Indian sidereal and true tropical longitude for various epochs A.D. which we can apply, with sign reversed, to epochs B.C. Our epoch B.C. 483 preceded A.D. 520 by just 1003 years.
c4.s2.14
For 1000 years the movement of the precession is (by the Table in Sec. 284) 16.5 degrees. ∴ 90° Tropical longitude in B.C. 483 corresponded to 90°+16.5°=106.5° Sidereal longitude. By Table XVII-A, after 111 days complete, Sun's sidereal longitude is 107.26°-1.10°=106.16°. For the balance .34 of a degree (106.5°-106.16°=.34°) we may add (by Table XVII-C) .33 of a day. ∴ In B.C. 483 the sun attained 90° Tropical or 106.5° Sidereal longitude at 111.33 days of the Solar year. Since the year commenced on March 10.26, we have, as the day of the Summer Solstice, March 10.26+111.33= March 121.59=(by Table VIII) 29th June. This agrees with Prof. Jacobi's calculation, cited by Dr. Fleet loc. cit.
c4.s2.15
∗ The first New-moon in Solar year B.C. 483 being at 3.35 days, we learn from Table II, p. 2, that this was a year in which either Jyeshtha or Ashadha was Adhika. In fact Jyeshtha was Adhika.
Table XI—B. Shortest Interval in Days, Ghatikas and Palas
c4.s3.1
NAKSHATRAS.
c4.s3.2
| Order | Names of Nakshatras. | Order | Vaisakha | Order | Jyeshtha | Order | Ashadha | Order | Sravana | Order | Bhadrapada |
| | | | I | | II | | III | | IV | | V |
| | | | d. g. p. | | d. g. p. | | d. g. p. | | d. g. p. | | d. g. p. |
| 27 | Revati | 3 | 0 59 21 | 5 | 0 48 15 | 7 | 0 37 9 | 9 | 0 26 2 | 11 | 0 14 56 |
| 1 | Asvini | 4 | 2 0 4 | 6 | 1 48 58 | 8 | 1 37 51 | 10 | 1 26 45 | 12 | 1 15 39 |
| 2 | Bharani | 5 | 3 0 47 | 7 | 2 49 41 | 9 | 2 38 34 | 11 | 2 27 28 | 13 | 2 16 22 |
| 3 | Krittika (Tamil Kiruttigai) | 6 | 4 1 30 | 8 | 3 50 24 | 10 | 3 39 17 | 12 | 3 28 11 | 14 | 3 17 5 |
| 4 | Rohini | 7 | 5 2 13 | 9 | 4 51 7 | 11 | 4 40 0 | 13 | 4 28 54 | 15 | 4 17 48 |
| 5 | Mirgasira (Tamil Mirugasiram) | 8 | 6 2 56 | 10 | 5 51 50 | 12 | 5 40 43 | 14 | 5 29 37 | 16 | 5 18 31 |
| 6 | Ardra (Tamil Arudra or Tiruvadirai) | 9 | 7 3 39 | 11 | 6 52 33 | 13 | 6 41 26 | 15 | 6 30 20 | 17 | 6 19 14 |
| 7 | Punarvasu | 10 | 8 4 22 | 12 | 7 53 16 | 14 | 7 42 9 | 16 | 7 31 3 | 18 | 7 19 57 |
| 8 | Pushya (Tamil Pusam) | 11 | 9 5 4 | 13 | 8 53 59 | 15 | 8 42 52 | 17 | 8 31 46 | 19 | 8 20 40 |
| 9 | Aslesha (Tamil Ayilyam) | 12 | 10 5 47 | 14 | 9 54 42 | 16 | 9 43 35 | 18 | 9 32 29 | 20 | 9 21 23 |
| 10 | Magha (Tamil Magham) | 13 | 11 6 30 | 15 | 10 55 25 | 17 | 10 44 18 | 19 | 10 33 12 | 21 | 10 22 6 |
| 11 | Purva Phalguni (Tamil Puram) | 14 | 12 7 13 | 16 | 11 56 8 | 18 | 11 45 1 | 20 | 11 33 55 | 22 | 11 22 49 |
| 12 | Uttara Phalguni (Tamil Uttiram) | 15 | 13 7 56 | 17 | 12 56 51 | 19 | 12 45 44 | 21 | 12 34 38 | 23 | 12 23 32 |
| 13 | Hasta (Tamil Hastam) | 16 | 14 8 39 | 18 | 13 57 34 | 20 | 13 46 27 | 22 | 13 35 21 | 24 | 13 24 14 |
| 14 | Chitra (Tamil Chittirai) | 17 | 15 9 22 | 19 | 14 58 17 | 21 | 14 47 10 | 23 | 14 36 4 | 25 | 14 24 58 |
| 15 | Svati | 18 | 16 10 5 | 20 | 15 59 0 | 22 | 15 47 53 | 24 | 15 36 47 | 26 | 15 25 41 |
| 16 | Visakha (Tamil Visakam) | 19 | 17 10 47 | 21 | 16 59 43 | 23 | 16 48 36 | 25 | 16 37 30 | 27 | 16 26 24 |
| 17 | Anuradha (Tamil Anusham) | 20 | 18 11 30 | 22 | 18 0 26 | 24 | 17 49 19 | 26 | 17 30 13 | 1 | 17 27 7 |
| 18 | Jyeshtha (Tamil Kettai) | 21 | 19 12 13 | 23 | 19 1 9 | 25 | 18 50 2 | 27 | 18 38 56 | 2 | 18 27 50 |
| 19 | (Tamil Mulam) | 22 | 20 12 56 | 24 | 20 1 52 | 26 | 19 50 45 | 1 | 19 39 39 | 3 | 19 28 33 |
| 20 | Purva Ashadha (Tamil Puradam) | 23 | 21 13 39 | 25 | 21 2 35 | 27 | 20 51 28 | 2 | 20 40 22 | 4 | 20 29 16 |
| 21 | Uttara Ashadha (Tamil Uttiradam) | 24 | 22 14 22 | 26 | 22 3 18 | 1 | 21 52 11 | 3 | 21 41 5 | 5 | 21 29 59 |
| 22 | Sravana (Tamil Tiruvonam) | 25 | 23 15 5 | 27 | 23 4 1 | 2 | 22 41 58 | 4 | 22 41 48 | 6 | 22 30 42 |
| 23 | Sravishta or Danishta (Tamil Avittam) | 26 | 24 15 48 | 1 | 24 4 44 | 3 | 23 53 37 | 5 | 23 42 31 | 7 | 23 31 25 |
| 24 | Satabhisaj or Sataraka (Tamil Sadayam) | 27 | 25 16 30 | 2 | 25 5 27 | 4 | 24 54 20 | 6 | 24 43 14 | 8 | 24 32 8 |
| 25 | Purva Bhadrapada (Tamil Purattadi) | 1 | 26 17 14 | 3 | 26 6 10 | 5 | 25 55 3 | 7 | 25 43 57 | 9 | 25 32 51 |
| 26 | Uttara Bhadrapada (Tamil Uttirattadi) | 2 | 27 17 57 | 4 | 27 6 53 | 6 | 26 55 46 | 8 | 26 44 40 | 10 | 26 33 34 |
| 27 | Revati | 3 | 28 18 40 | 5 | 28 7 36 | 7 | 27 56 29 | 9 | 27 45 23 | 11 | 27 34 17 |
| | | 4 | 29 19 23 | 6 | 29 8 19 | 8 | 28 57 12 | 10 | 28 46 6 | 12 | 28 35 0 |
c4.s3.3
YOGAS.
c4.s3.4
| Names of Yogas. | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 27 | Vaidhriti | 5 | 0 53 57 | 9 | 0 33 17 | 13 | 0 12 37 | 18 | 0 48 26 | 22 | 0 27 46 |
| 1 | Vishkamba | 6 | 1 50 26 | 10 | 1 29 46 | 14 | 1 9 6 | 19 | 1 44 56 | 23 | 1 24 16 |
| 2 | Priti | 7 | 2 46 55 | 11 | 2 26 15 | 15 | 2 5 35 | 20 | 2 41 25 | 24 | 2 20 45 |
| 3 | Ayushmat | 8 | 3 43 25 | 12 | 3 22 45 | 16 | 3 2 5 | 21 | 3 37 54 | 25 | 3 17 15 |
| 4 | Saubhagya | 9 | 4 39 54 | 13 | 4 19 14 | 17 | 2 58 34 | 22 | 4 34 24 | 26 | 4 13 44 |
| 5 | Sobhana | 10 | 5 36 23 | 14 | 5 15 43 | 18 | 4 55 4 | 23 | 5 30 53 | 27 | 5 10 14 |
| 6 | Atiganda | 11 | 6 32 53 | 15 | 6 12 13 | 19 | 5 51 33 | 24 | 6 27 23 | 1 | 6 6 43 |
| 7 | Sukarman | 12 | 7 29 22 | 16 | 7 8 42 | 20 | 6 48 2 | 25 | 7 23 52 | 2 | 7 3 13 |
| 8 | Dhriti | 13 | 8 25 51 | 17 | 8 5 12 | 21 | 7 44 32 | 26 | 8 20 21 | 3 | 7 59 41 |
| 9 | Sula | 14 | 9 22 21 | 18 | 9 1 41 | 22 | 8 41 1 | 27 | 9 16 50 | 4 | 8 56 12 |
| 10 | Ganda | 15 | 10 18 50 | 19 | 9 58 10 | 23 | 9 37 31 | 1 | 10 13 20 | 5 | 9 52 40 |
| 11 | Vriddhi | 16 | 11 15 20 | 20 | 10 54 40 | 24 | 10 34 0 | 2 | 11 9 49 | 6 | 10 49 10 |
| 12 | Dhruva | 17 | 12 11 49 | 21 | 11 51 9 | 25 | 11 30 29 | 3 | 12 6 19 | 7 | 11 45 39 |
| 13 | Vyaghata | 18 | 13 8 18 | 22 | 12 47 38 | 26 | 12 26 58 | 4 | 13 2 48 | 8 | 12 42 9 |
| 14 | Harshana | 19 | 14 4 48 | 23 | 13 44 8 | 27 | 13 23 28 | 5 | 13 59 17 | 9 | 13 38 38 |
| 15 | Vajra | 20 | 15 1 17 | 24 | 14 40 36 | 1 | 14 19 57 | 6 | 14 55 47 | 10 | 14 35 8 |
| 16 | Siddhi | 21 | 15 57 46 | 25 | 15 37 6 | 2 | 15 16 27 | 7 | 15 52 16 | 11 | 15 31 36 |
| 17 | Yatipata | 22 | 16 54 16 | 26 | 16 33 35 | 3 | 16 12 56 | 8 | 16 48 46 | 12 | 16 28 7 |
| 18 | Variyas | 23 | 17 50 45 | 27 | 17 30 5 | 4 | 17 9 25 | 9 | 17 45 15 | 13 | 17 24 35 |
| 19 | Parigha | 24 | 18 47 15 | 1 | 18 26 34 | 5 | 18 5 55 | 10 | 18 41 44 | 14 | 18 21 5 |
| 20 | Siva | 25 | 19 43 44 | 2 | 19 23 4 | 6 | 19 2 24 | 11 | 19 38 13 | 15 | 19 17 34 |
| 21 | Siddha | 26 | 20 40 13 | 3 | 20 19 33 | 7 | 19 58 53 | 12 | 20 34 43 | 16 | 20 14 4 |
| 22 | Sadhya | 27 | 21 36 43 | 4 | 21 16 3 | 8 | 20 55 22 | 13 | 21 31 12 | 17 | 21 10 32 |
| 23 | Subha | 1 | 22 33 12 | 5 | 22 12 31 | 9 | 21 51 52 | 14 | 22 27 42 | 18 | 22 7 3 |
| 24 | Sukla | 2 | 23 29 41 | 6 | 23 9 1 | 10 | 22 48 21 | 15 | 23 24 11 | 19 | 23 3 3 |
| 25 | Brahman | 3 | 24 26 11 | 7 | 24 5 30 | 11 | 23 44 51 | 16 | 24 20 40 | 20 | 24 0 0 |
| 26 | Indra | 4 | 25 22 40 | 8 | 25 2 0 | 12 | 24 41 20 | 17 | 25 17 10 | 21 | 24 56 3 |
| 27 | Vaidhriti | 5 | 26 19 9 | 9 | 25 58 29 | 13 | 25 37 50 | 18 | 26 13 39 | 22 | 25 52 5 |
| | | 6 | 27 15 39 | 10 | 26 54 59 | 14 | 26 34 19 | 19 | 27 10 8 | 23 | 26 49 29 |
| | | 7 | 28 12 8 | 11 | 27 51 28 | 15 | 27 30 48 | 20 | 28 6 38 | 24 | 27 45 58 |
| | | 8 | 29 8 37 | 12 | 28 47 58 | 16 | 28 27 18 | 21 | 29 3 7 | 25 | 28 42 27 |
| | | | | | | 17 | 29 23 47 | | | | |
c4.s3.5
| Order | Asvina VI | Order | Karttikā VII | Order | Margasira VIII | Order | Pausha IX | Order | Magha X | Order | Phalguna XI | Order | Chaitra, when no Adhika Masa. XII | Order | Chaitra when there is Adhika Masa. XIII |
| | d. g. p. | | d. g. p. | | d. g. p. | | d. g. p. | | d. g. p. | | d. g. p. | | d. g. p. | | d. g. p. |
| 13 | 0 3 50 | 16 | 0 53 26 | 18 | 0 42 20 | 20 | 0 31 14 | 22 | 0 20 8 | 24 | 0 9 1 | 27 | 0 58 38 | 2 | 0 47 31 |
| 14 | 1 4 33 | 17 | 1 54 9 | 19 | 1 43 3 | 21 | 1 31 57 | 23 | 1 20 50 | 25 | 1 9 44 | 1 | 1 59 21 | 3 | 1 48 14 |
| 15 | 2 5 16 | 18 | 2 54 52 | 20 | 2 43 46 | 22 | 2 32 40 | 24 | 2 21 34 | 26 | 2 10 27 | 2 | 3 0 3 | 4 | 2 48 57 |
| 16 | 3 5 59 | 19 | 3 55 35 | 21 | 3 44 29 | 23 | 3 33 22 | 25 | 3 22 16 | 27 | 3 11 10 | 3 | 4 0 46 | 5 | 3 49 40 |
| 17 | 4 6 42 | 20 | 4 56 18 | 22 | 4 45 12 | 24 | 4 34 5 | 26 | 4 22 59 | 1 | 4 11 53 | 4 | 5 1 29 | 6 | 4 50 23 |
| 18 | 5 7 25 | 21 | 5 57 1 | 23 | 5 45 54 | 25 | 5 34 48 | 27 | 5 23 42 | 2 | 5 12 35 | 5 | 6 2 12 | 7 | 5 51 6 |
| 19 | 6 8 8 | 22 | 6 57 44 | 24 | 6 46 37 | 26 | 6 35 31 | 1 | 6 24 25 | 3 | 6 13 19 | 6 | 7 2 55 | 8 | 6 51 49 |
| 20 | 7 8 51 | 23 | 7 58 27 | 25 | 7 47 20 | 27 | 7 36 14 | 2 | 7 25 8 | 4 | 7 14 1 | 7 | 8 3 38 | 9 | 7 52 32 |
| 21 | 8 9 34 | 24 | 8 59 10 | 26 | 8 48 3 | 1 | 8 37 57 | 3 | 8 25 50 | 5 | 8 14 44 | 8 | 9 4 21 | 10 | 8 53 14 |
| 22 | 9 10 16 | 25 | 9 59 53 | 27 | 9 48 46 | 2 | 9 38 40 | 4 | 9 26 34 | 6 | 9 15 27 | 9 | 10 5 3 | 11 | 9 53 57 |
| 23 | 10 10 59 | 26 | 11 0 36 | 1 | 10 49 29 | 3 | 10 39 22 | 5 | 10 27 16 | 7 | 10 16 10 | 10 | 11 5 46 | 12 | 10 54 40 |
| 24 | 11 11 42 | 27 | 11 0 12 | 2 | 11 50 12 | 4 | 11 40 5 | 6 | 11 27 59 | 8 | 11 16 53 | 11 | 12 6 29 | 13 | 11 55 23 |
| 25 | 12 12 25 | 1 | 13 2 1 | 3 | 12 50 54 | 5 | 12 40 48 | 7 | 12 28 42 | 9 | 12 17 35 | 12 | 13 7 12 | 14 | 12 56 6 |
| 26 | 13 13 8 | 2 | 14 2 44 | 4 | 13 51 37 | 6 | 13 41 31 | 8 | 13 28 25 | 10 | 13 18 19 | 13 | 14 7 55 | 15 | 13 56 49 |
| 27 | 14 13 51 | 3 | 15 3 27 | 5 | 14 52 20 | 7 | 14 42 14 | 9 | 14 29 8 | 11 | 14 19 1 | 14 | 15 8 38 | 16 | 14 57 32 |
| 1 | 1 14 34 | 4 | 16 4 10 | 6 | 15 53 3 | 8 | 15 42 57 | 10 | 15 29 50 | 12 | 15 19 44 | 15 | 16 9 21 | 17 | 15 58 14 |
| 2 | 2 15 16 | 5 | 17 4 53 | 7 | 16 53 46 | 9 | 16 43 40 | 11 | 16 30 34 | 13 | 16 20 27 | 16 | 17 10 3 | 18 | 16 58 57 |
| 3 | 3 17 15 59 | 6 | 18 5 36 | 8 | 17 54 29 | 10 | 17 44 22 | 12 | 17 31 16 | 14 | 17 21 10 | 17 | 18 11 46 | 19 | 17 59 40 |
| 4 | 4 18 16 42 | 7 | 19 6 18 | 9 | 18 55 12 | 11 | 18 45 5 | 13 | 18 31 59 | 15 | 18 22 53 | 18 | 19 12 29 | 20 | 19 0 23 |
| 5 | 5 19 17 25 | 8 | 20 7 1 | 10 | 19 55 54 | 12 | 19 45 48 | 14 | 19 32 42 | 16 | 19 23 35 | 19 | 20 13 12 | 21 | 20 1 6 |
| 6 | 6 20 18 8 | 9 | 21 7 44 | 11 | 20 56 37 | 13 | 20 46 31 | 15 | 20 33 25 | 17 | 20 24 19 | 20 | 21 13 55 | 22 | 21 1 49 |
| 7 | 7 21 18 51 | 10 | 22 8 27 | 12 | 21 57 20 | 14 | 21 47 14 | 16 | 21 34 8 | 18 | 21 25 1 | 21 | 22 14 38 | 23 | 22 2 32 |
| 8 | 8 22 19 34 | 11 | 23 9 10 | 13 | 22 58 3 | 15 | 22 47 57 | 17 | 22 34 50 | 19 | 22 25 44 | 22 | 23 15 21 | 24 | 23 3 14 |
| 9 | 9 23 20 16 | 12 | 24 9 53 | 14 | 23 58 46 | 16 | 23 48 40 | 18 | 23 35 34 | 20 | 23 26 27 | 23 | 24 16 3 | 25 | 24 3 57 |
| 10 | 10 24 20 59 | 13 | 25 10 36 | 15 | 24 59 29 | 17 | 24 49 22 | 19 | 24 36 18 | 21 | 24 27 10 | 24 | 25 16 46 | 26 | 25 4 40 |
| 11 | 11 25 21 42 | 14 | 26 11 18 | 16 | 26 0 12 | 18 | 25 50 5 | 20 | 25 36 59 | 22 | 25 27 53 | 25 | 26 17 29 | 27 | 26 5 23 |
| 12 | 12 26 22 25 | 15 | 27 12 1 | 17 | 27 0 54 | 19 | 26 50 48 | 21 | 26 37 42 | 23 | 26 28 12 | 26 | 27 18 12 | 1 | 27 6 6 |
| 13 | 13 27 23 8 | 16 | 28 12 44 | 18 | 28 1 37 | 20 | 27 51 31 | 22 | 27 38 25 | 24 | 27 29 19 | 27 | 28 18 55 | 2 | 28 6 49 |
| 14 | 14 28 23 51 | 17 | 29 13 27 | 19 | 29 2 20 | 21 | 28 52 14 | 23 | 28 39 8 | 25 | 28 30 1 | 1 | 29 19 38 | 3 | 29 7 32 |
| 15 | 15 29 24 34 | | | | | | | | | 26 | 29 30 44 | | | | |
c4.s3.6
YOGAS.
c4.s3.7
| 26 | 0 7 6 | 4 | 0 42 56 | 8 | 0 22 16 | 12 | 0 1 36 | 17 | 0 37 26 | 21 | 0 16 46 | 26 | 0 52 35 | 3 | 0 31 55 |
| 27 | 1 3 36 | 5 | 1 39 25 | 9 | 1 18 46 | 13 | 0 58 6 | 18 | 1 33 55 | 22 | 1 13 15 | 27 | 1 49 5 | 4 | 1 28 25 |
| 1 | 2 0 5 | 6 | 2 35 55 | 10 | 2 15 14 | 14 | 1 54 35 | 19 | 2 30 24 | 23 | 2 9 45 | 1 | 2 45 34 | 5 | 2 24 54 |
| 2 | 2 56 35 | 7 | 3 32 24 | 11 | 3 11 44 | 15 | 2 51 5 | 20 | 3 26 54 | 24 | 3 6 14 | 2 | 3 42 3 | 6 | 3 21 24 |
| 3 | 3 53 4 | 8 | 4 28 54 | 12 | 4 8 14 | 16 | 3 47 34 | 21 | 4 23 23 | 25 | 4 2 43 | 3 | 4 38 33 | 7 | 4 17 53 |
| 4 | 4 49 33 | 9 | 5 25 23 | 13 | 5 4 43 | 17 | 4 44 3 | 22 | 5 19 53 | 26 | 4 59 13 | 4 | 5 35 2 | 8 | 5 14 23 |
| 5 | 5 46 3 | 10 | 6 21 52 | 14 | 6 1 12 | 18 | 5 40 32 | 23 | 6 16 22 | 27 | 5 55 42 | 5 | 6 31 32 | 9 | 6 10 52 |
| 6 | 6 42 32 | 11 | 7 18 21 | 15 | 6 57 42 | 19 | 6 37 2 | 24 | 7 12 51 | 1 | 6 52 12 | 6 | 7 28 1 | 10 | 7 7 21 |
| 7 | 7 39 1 | 12 | 8 14 51 | 16 | 7 54 11 | 20 | 7 33 31 | 25 | 8 9 21 | 2 | 7 48 41 | 7 | 8 24 30 | 11 | 8 3 50 |
| 8 | 8 35 31 | 13 | 9 11 20 | 17 | 8 50 40 | 21 | 8 30 1 | 26 | 9 5 50 | 3 | 8 45 10 | 8 | 9 20 58 | 12 | 9 0 20 |
| 9 | 9 32 0 | 14 | 10 7 50 | 18 | 9 47 10 | 22 | 9 26 30 | 27 | 10 2 20 | 4 | 9 41 39 | 9 | 10 17 29 | 13 | 9 56 49 |
| 10 | 10 28 30 | 15 | 11 4 19 | 19 | 10 43 39 | 23 | 10 22 59 | 1 | 10 58 49 | 5 | 10 38 9 | 10 | 11 13 57 | 14 | 10 53 18 |
| 11 | 11 24 59 | 16 | 12 0 48 | 20 | 11 40 9 | 24 | 11 19 29 | 2 | 11 55 18 | 6 | 11 34 38 | 11 | 12 10 28 | 15 | 11 49 48 |
| 12 | 12 21 28 | 17 | 12 57 18 | 21 | 12 36 38 | 25 | 12 15 58 | 3 | 12 51 58 | 7 | 12 31 8 | 12 | 13 6 56 | 16 | 12 46 17 |
| 13 | 13 17 58 | 18 | 13 53 47 | 22 | 13 33 7 | 26 | 13 12 27 | 4 | 13 48 27 | 8 | 13 27 37 | 13 | 14 3 27 | 17 | 13 42 47 |
| 14 | 14 14 27 | 19 | 14 50 16 | 23 | 14 29 36 | 27 | 14 8 57 | 5 | 14 44 56 | 9 | 14 24 6 | 14 | 14 59 55 | 18 | 14 39 16 |
| 15 | 15 10 57 | 20 | 15 46 46 | 24 | 15 26 6 | 1 | 15 5 26 | 6 | 15 41 16 | 10 | 15 20 36 | 15 | 15 56 25 | 19 | 15 35 45 |
| 16 | 16 7 25 | 21 | 16 43 15 | 25 | 16 22 35 | 2 | 16 1 55 | 7 | 16 37 45 | 11 | 16 17 5 | 16 | 16 52 53 | 20 | 16 32 15 |
| 17 | 17 3 55 | 22 | 17 39 45 | 26 | 17 19 5 | 3 | 16 58 25 | 8 | 17 34 14 | 12 | 17 13 35 | 17 | 17 49 24 | 21 | 17 28 44 |
| 18 | 18 0 24 | 23 | 18 36 14 | 27 | 18 15 34 | 4 | 17 54 54 | 9 | 18 30 44 | 13 | 18 10 4 | 18 | 18 45 52 | 22 | 18 25 13 |
| 19 | 18 56 54 | 24 | 19 32 43 | 1 | 19 12 3 | 5 | 18 51 24 | 10 | 19 27 13 | 14 | 19 6 33 | 19 | 19 42 23 | 23 | 19 21 43 |
| 20 | 19 53 23 | 25 | 20 29 13 | 2 | 20 8 33 | 6 | 19 47 53 | 11 | 20 23 42 | 15 | 20 3 2 | 20 | 20 38 51 | 24 | 20 18 12 |
| 21 | 20 49 53 | 26 | 21 25 42 | 3 | 21 5 2 | 7 | 20 44 22 | 12 | 21 20 12 | 16 | 20 59 32 | 21 | 21 35 22 | 25 | 21 14 42 |
| 22 | 21 46 22 | 27 | 22 22 12 | 4 | 22 1 32 | 8 | 21 40 51 | 13 | 22 16 41 | 17 | 21 56 1 | 22 | 22 31 50 | 26 | 22 11 11 |
| 23 | 22 42 51 | 1 | 23 18 41 | 5 | 22 58 1 | 9 | 22 37 21 | 14 | 23 13 10 | 18 | 22 52 31 | 23 | 23 28 20 | 27 | 23 7 40 |
| 24 | 24 39 21 | 2 | 24 15 10 | 6 | 23 54 30 | 10 | 23 33 50 | 15 | 24 9 40 | 19 | 23 49 0 | 24 | 24 24 49 | 1 | 24 4 10 |
| 25 | 25 35 50 | 3 | 25 11 40 | 7 | 24 51 0 | 11 | 24 30 20 | 16 | 25 6 9 | 20 | 24 45 29 | 25 | 25 21 19 | 2 | 25 0 39 |
| 26 | 25 32 19 | 4 | 26 8 9 | 8 | 25 47 29 | 12 | 25 26 49 | 17 | 26 2 38 | 21 | 25 41 52 | 26 | 26 17 48 | 3 | 25 57 9 |
| 27 | 27 28 48 | 5 | 27 4 38 | 9 | 26 43 58 | 13 | 26 23 18 | 18 | 26 59 8 | 22 | 26 38 28 | 27 | 27 14 18 | 4 | 26 53 38 |
| 1 | 27 25 18 | 6 | 28 1 7 | 10 | 27 40 28 | 14 | 27 19 48 | 19 | 27 55 37 | 23 | 27 34 57 | 1 | 28 10 47 | 5 | 27 50 8 |
| 2 | 28 21 47 | 7 | 28 57 37 | 11 | 28 36 57 | 15 | 28 16 17 | 20 | 28 52 7 | 24 | 28 31 27 | 2 | 29 7 16 | 6 | 28 46 37 |
| 3 | 29 18 17 | | | | | 16 | 29 12 47 | | | 25 | 29 27 56 | | | | |
c4.s3.8
TABLE XI--C. Annual Correction (additive) for Nakshatras and Yogas A.D. 1840--A.D. 1920.
c4.s3.9
| A. D. | Nakshatras. d. gh. p. | Yogas. d. gh. p. | A. D. | Nakshatras. d. gh. p. | Yogas. d. gh. p. | A. D. | Nakshatras. d. gh. p. | Yogas. d. gh. p. | A. D. | Nakshatras. d. gh. p. | Yogas. d. gh. p. |
| 1840 | 0 40 22 | 1 15 7 | 1860 | 1 30 16 | 2 47 59 | 1880 | 0 7 38 | 0 14 14 | 1900 | 0 57 33 | 1 47 6 |
| 1841 | 1 29 15 | 2 46 5 | 1861 | 0 6 37 | 0 12 19 | 1881 | 0 56 32 | 1 45 11 | 1901 | 1 46 26 | 3 18 3 |
| 1842 | 0 11 35 | 0 10 25 | 1862 | 0 55 30 | 1 43 17 | 1882 | 1 45 24 | 3 16 9 | 1902 | 0 22 46 | 0 42 24 |
| 1843 | 0 54 28 | 1 41 23 | 1863 | 1 44 23 | 3 14 15 | 1883 | 0 21 45 | 0 40 29 | 1903 | 1 11 39 | 2 13 21 |
| 1844 | 1 43 21 | 3 12 20 | 1864 | 0 20 44 | 0 38 35 | 1884 | 1 10 38 | 2 11 27 | 1904 | 2 0 32 | 3 44 19 |
| 1845 | 0 19 42 | 0 36 41 | 1865 | 1 9 37 | 2 9 31 | 1885 | 1 59 31 | 3 42 24 | 1905 | 0 36 53 | 1 8 39 |
| 1846 | 1 8 35 | 2 7 38 | 1866 | 1 58 30 | 3 40 30 | 1886 | 0 35 52 | 1 6 45 | 1906 | 1 25 46 | 2 49 37 |
| 1847 | 1 57 28 | 3 38 36 | 1867 | 0 34 50 | 1 4 51 | 1887 | 1 24 45 | 2 37 43 | 1907 | 0 2 7 | 0 3 57 |
| 1848 | 0 33 49 | 1 2 57 | 1868 | 1 23 43 | 2 35 48 | 1888 | 0 1 6 | 0 2 3 | 1908 | 0 51 0 | 1 34 55 |
| 1849 | 1 22 42 | 2 33 54 | 1869 | 0 0 4 | 0 0 9 | 1889 | 0 49 59 | 1 33 1 | 1909 | 1 39 53 | 3 5 53 |
| 1850 | 2 11 35 | 4 4 52 | 1870 | 0 48 57 | 1 31 6 | 1890 | 1 38 52 | 3 3 58 | 1910 | 0 16 14 | 0 30 13 |
| 1851 | 0 47 56 | 1 29 12 | 1871 | 1 37 50 | 3 2 4 | 1891 | 0 15 12 | 0 28 19 | 1911 | 1 5 7 | 2 1 11 |
| 1852 | 1 36 49 | 3 0 10 | 1872 | 0 14 11 | 0 26 21 | 1892 | 1 4 5 | 1 59 17 | 1912 | 1 54 0 | 3 32 8 |
| 1853 | 0 13 9 | 0 24 30 | 1873 | 1 3 4 | 1 57 22 | 1893 | 1 52 58 | 3 30 14 | 1913 | 0 30 21 | 0 56 29 |
| 1854 | 1 2 3 | 1 55 28 | 1874 | 1 51 57 | 3 28 20 | 1894 | 0 29 20 | 0 54 34 | 1914 | 1 19 14 | 2 27 27 |
| 1855 | 1 50 56 | 3 26 26 | 1875 | 0 20 18 | 0 52 40 | 1895 | 1 18 12 | 2 25 32 | 1915 | 2 8 7 | 3 58 24 |
| 1856 | 0 27 16 | 0 50 46 | 1876 | 1 17 11 | 2 23 38 | 1896 | 2 7 5 | 3 56 30 | 1916 | 0 44 27 | 1 22 45 |
| 1857 | 2 16 9 | 2 21 44 | 1877 | 2 6 4 | 3 54 35 | 1897 | 0 43 26 | 1 20 50 | 1917 | 1 33 20 | 2 53 42 |
| 1858 | 2 5 2 | 3 52 41 | 1878 | 1 42 24 | 1 18 56 | 1898 | 1 32 19 | 2 51 48 | 1918 | 0 9 41 | 0 18 3 |
| 1859 | 0 40 23 | 1 16 47 | 1879 | 1 31 18 | 2 49 54 | 1899 | 0 8 40 | 0 16 8 | 1919 | 0 58 34 | 1 49 0 |
c4.s3.10
EXPLANATION.
c4.s3.11
In the N.B. to Sec. 263, p. (95) of the text additive tables for Nakshatras were promised with the next edition. The convenience of having additive formulæ for the current epoch A.D. 1840 to A.D. 1920 is so great that the necessary tables are presented to the reader in the above addenda as Tables XI--B. and XI--C. Examples will now be given, showing how these tables should be used.
c4.s3.12
I. Required the ending moment of Nakshatra Krittika for the month of July 1910 (vide p. 232 of Tables).
c4.s3.13
| | d. gh. p. | ('s Anom. d. gh. p. |
| (Table XII, p. 15) Jyeshtha New Moon. | June 7 39 7 | 2 30 40 |
| (Table XI--B. previous page) Shortest interval from Jyeshtha New Moon to No. 3 Krittika Nakshatra. | 26 6 10 | 26 6 10 |
| Add Nakshatra correction for 1910 (XI--C. Supra.) | 0 16 14 | 0 16 14 |
| | June 34 1 31 | 28 53 4 |
| (Table IX-A, p. 23.) Nakshatra Eqn. for Anom. of | 1 19 47 | - 6 20 | 27 33 17 (1 Anom. Month.) |
| | June 33 55 11 | 1 19 47 |
c4.s3.14
Krittika Nakshatra ended on June 33, i.e., on 3 July 1910, at 55 ghatikas 11 palas after mean Lanka Sunrise. If we want local time, we should use Table XIII.
c4.s3.15
II. Required the ending moment of Yoga Vyatipata (No. 17) in July 1910.
c4.s3.16
| | | ('s Anom. d. gh. p. | ('s Anom. d. gh. p. |
| (Table XII, p. 151.) Ashadha New Moon. | July 7 10 57 | 84 58 29 | 4 29 18 |
| (Table XI--B, previous page) Shortest interval from Ashadha New Moon to No. 17 Vyatipata Yoga. | 3 58 34 | 3 58 34 | 3 58 34 |
| (XI--C. Supra) Add Yoga correction for A. D. 1910. | 0 30 13 | 0 30 13 | 0 30 13 |
| | 11 39 44 | 89 27 16 | 8 58 0 |
| (Table IX-A, p. 20a) Sun's Yoga Eqn. for 89 d. 27 gh. + 1 gh. 25 p. | | | |
| " p. 20b, Moon's Yoga Eqn. for 8 d. 59 gh. 25 p. - 19 gh. 40 p. | | | |
| Sum - 18 gh. 15 p. | | - 18 15 | (O's Yoga Eqn.) + 1 25 |
| | July 11 21 29 | | 8 59 25 |
c4.s3.17
i. e., No. 17 Yoga Vyatipata ended at 21 gh. 29 p. after mean Lanka Sunrise on 11 July 1910.
c4.s3.18
*Addendum.* TABLES XI-D and XI-E. Shortest Interval in days and decimals of a day from new moon to ending moment of each Nakshatra and each Yoga.
c4.s3.19
EXPLANATION.
c4.s3.20
Tables XI-D and XI-E, which are printed on the next two pages, are the additive tables promised in N.B. to § 263, p. (95) of the Text. One of the intervals in Table XI-D, as well as the result of the application of Table XI-E, should be added to the moment of new moon in order to ascertain the ending moment of any *nakshatra* or *yoga*. Though the tables are, as a whole, additive, it should be remembered that in using Table XI-E, the correction corresponding to the decimal portion of the argument should be subtracted from the correction corresponding to the integral number of days after which the first new moon appears in each solar year. Where great accuracy is not essential, it is unnecessary to calculate the correction corresponding to the decimal portion of the argument. The argument for Table XI-E is always the day of the First New Moon in the Solar Year. When the First New Moon is less than a day old in the Solar Year, prefix 0 to the argument. Thus, for A.D. 1915 (First New Moon in Solar Year, 0·9855) the Nakshatra correction is 2·2089 - (0783 + 0004) = 2·1352; and the Yoga correction is 4·11036 - (13641 + 00076) = 4·07319.
c4.s3.21
EXAMPLES.
c4.s3.22
The examples on the previous page will first be worked out with the aid of Tables XI-D and XI-E on the next two pages.
c4.s3.23
I.—*Required the ending moment of Nakshatra Krittika for the month of July 1910. (see Tables, p. 232.)*
c4.s3.24
| | Month. | Day. | Fraction of day. | ☾'s Anom. days. |
| (Table X, p. 126) Jyeshtha New Moon, A.D. 1910 | ... | June | 7 | ·65 | 0·535 |
| | | | | + 1·976 |
| (Table-XI D, next page). Shortest interval from Jyeshtha New Moon to No. 3. Krittika Nakshatra | ... | | + 26 | ·10 | + 26·10 |
| | | | | | 28·61 |
| | | | | | - 27·55 (1 Anom. Month.) |
| | | | | | 1·06 |
| (Table XI-E). The first New Moon in the Solar Year being, according to Table X, at 25·91 days, this is the argument for Table XI-E (next page). The Nakshatra correction for A.D. 1910-11 is, therefore by Table XI-E, 0·34 minus ·07 = | ... | | + | ·27 | + ·27 |
| | | June | 34 | ·02 | 1·33 |
| Table (IX-j). Nakshatra equation corresponding to ☾'s Anom. of 1·33 days | ... | | | | - ·11 |
| | | June | 33 | ·91 | |
c4.s3.25
*i.e., (by Eye-table) the Nakshatra Krittika in July 1910 ended on June 33, that is, on 3 July, at 55 ghatikas after mean sunrise.*
c4.s3.26
II.—*Required the ending moment of Yoga Vyatipata (No. 17) in July 1910. (see Tables, p. 232.)*
c4.s3.27
| | | days | ☉'s Anom. days. | ☾'s Anom. days. |
| (Table X, p. 126.) Ashadha New Moon, A.D. 1910. | ... | July | 7·18 | 25·91 | 0·53 |
| | | | | +59·06 | +3·95 |
| (Table XI-D next page). Shortest interval from Ashadha New Moon to No. 17 Vyatipata Yoga | ... | | + 3·98 | + 3·98 | + 3·98 |
| (Table XI-E). Applying, as before, the argument for New Moon 1910-11, *i.e.*, 25·91 to the Yoga correction table in XI-E, we have 0·63 minus ·13 = | ... | | + ·50 | + ·50 | + ·50 |
| | | July 11·66 | 89·45 | 8·96 |
| | | =July 11, 39½gh. | or | or |
| | | | 89d. 27gh. | 8 days 57½ gh. |
| Table IX-(i): ☉'s Yoga equation for 89d. 27 gh. = + 1½ gh. | | | | +1½gh. [☉'s yoga equation by Table IX-(i)] |
| Table IX-(i): ☾'s Yoga equation for 8d. 59 gh. = - 19½ gh. | | | | |
| | | | - 18½ gh. | - 18½gh. | 8 days, 59 gh. |
c4.s3.28
*Ending moment of No. 17 Vyatipata Yoga, July 11, 21½gh. after mean (Lanka) sunrise.*
c4.s3.29
*N. B.—The difference between this result and that arrived at on the last page is due to the fact that in the present working we have used only two decimal places for mean ending moments and anomalies.*
c4.s3.30
We see that the method is applicable to Nakshatras and Yogas in any year, B.C. or A.D., not merely in the years A.D. 1840-A.D. 1920, as in Tables XI-B and XI-C on the three previous pages.
c4.s3.31
Addendum.
Table XI-D. Shortest Interval in Days, from New-Moon to Ending of Each Nakshatra and Yoga
c4.s4.1.1
| Order | Names of Nakshatras. | Order | I | Order | II | Order | III | Order | IV | Order | V | Order | VI | Order | VII | Order | VIII |
| 27 | Revati ... | 3 | 0·9892 | 5 | 0·8041 | 7 | 0·6190 | 9 | 0·4339 | 11 | 0·2488 | 13 | 0·0638 | 16 | 0·8906 | 18 | 0·7055 |
| 1 | Asvini ... | 4 | 2·0011 | 6 | 1·8160 | 8 | 1·6309 | 10 | 1·4458 | 12 | 1·2608 | 14 | 1·0757 | 17 | 1·9025 | 19 | 1·7174 |
| 2 | Bharani ... | 5 | 3·0130 | 7 | 2·8279 | 9 | 2·6428 | 11 | 2·4578 | 13 | 2·2727 | 15 | 2·0876 | 18 | 2·9114 | 20 | 2·7293 |
| 3 | Krittika ... | 6 | 4·0249 | 8 | 3·8398 | 10 | 3·6548 | 12 | 3·4697 | 14 | 3·2846 | 16 | 3·0995 | 19 | 3·9263 | 21 | 3·7412 |
| 4 | Rohini ... | 7 | 5·0368 | 9 | 4·8518 | 11 | 4·6667 | 13 | 4·4816 | 15 | 4·2965 | 17 | 4·1114 | 20 | 4·9382 | 22 | 4·7532 |
| 5 | Mirgasira ... | 8 | 6·0488 | 10 | 5·8637 | 12 | 5·6786 | 14 | 5·4935 | 16 | 5·3084 | 18 | 5·1233 | 21 | 5·9502 | 23 | 5·7651 |
| 6 | Ardra ... | 9 | 7·0607 | 11 | 6·8756 | 13 | 6·6905 | 15 | 6·5054 | 17 | 6·3203 | 19 | 6·1352 | 22 | 6·9621 | 24 | 6·7770 |
| 7 | Punarvasu ... | 10 | 8·0726 | 12 | 7·8875 | 14 | 7·7024 | 16 | 7·5173 | 18 | 7·3322 | 20 | 7·1472 | 23 | 7·9740 | 25 | 7·7889 |
| 8 | Pushya ... | 11 | 9·0845 | 13 | 8·8994 | 15 | 8·7143 | 17 | 8·5292 | 19 | 8·3442 | 21 | 8·1591 | 24 | 8·9859 | 26 | 8·8008 |
| 9 | Aslesha ... | 12 | 10·0964 | 14 | 9·9113 | 16 | 9·7262 | 18 | 9·5412 | 20 | 9·3561 | 22 | 9·1710 | 25 | 9·9978 | 27 | 9·8127 |
c4.s4.1.2
| 10 | Magha ... | 13 | 11·1083 | 15 | 10·9232 | 17 | 10·7382 | 19 | 10·5531 | 21 | 10·3680 | 23 | 10·1829 | 26 | 11·0097 | 1 | 10·8246 |
| 11 | Purva Phalguni | 14 | 12·1202 | 16 | 11·9352 | 18 | 11·7501 | 20 | 11·5650 | 22 | 11·3799 | 24 | 11·1948 | 27 | 12·0216 | 2 | 11·8366 |
| 12 | Uttara Phalguni | 15 | 13·1322 | 17 | 12·9471 | 19 | 12·7620 | 21 | 12·5769 | 23 | 12·3918 | 25 | 12·2067 | 1 | 13·0336 | 3 | 12·8485 |
| 13 | Hasta ... | 16 | 14·1441 | 18 | 13·9590 | 20 | 13·7739 | 22 | 13·5888 | 24 | 13·4037 | 26 | 13·2186 | 2 | 14·0455 | 4 | 13·8604 |
| 14 | Chitra ... | 17 | 15·1560 | 19 | 14·9709 | 21 | 14·7858 | 23 | 14·6007 | 25 | 14·4156 | 27 | 14·2306 | 3 | 15·0574 | 5 | 14·8723 |
| 15 | Svati ... | 18 | 16·1679 | 20 | 15·9828 | 22 | 15·7977 | 24 | 15·6126 | 26 | 15·4276 | 1 | 15·2425 | 4 | 16·0693 | 6 | 15·8842 |
| 16 | Visakha ... | 19 | 17·1798 | 21 | 16·9947 | 23 | 16·8096 | 25 | 16·6246 | 27 | 16·4395 | 2 | 16·2544 | 5 | 17·0812 | 7 | 16·8961 |
| 17 | Anuradha ... | 20 | 18·1917 | 22 | 18·0066 | 24 | 17·8216 | 26 | 17·6365 | 1 | 17·4514 | 3 | 17·2663 | 6 | 18·0931 | 8 | 17·9080 |
| 18 | Jyeshtha ... | 23 | 19·0136 | 23 | 19·0136 | 25 | 18·8335 | 27 | 18·6484 | 2 | 18·4633 | 4 | 18·2782 | 7 | 19·1050 | 9 | 18·9199 |
| 19 | Mula ... | 22 | 20·2156 | 24 | 20·0305 | 26 | 19·8454 | 1 | 19·6603 | 3 | 19·4752 | 5 | 19·2901 | 8 | 20·1169 | 10 | 19·9319 |
c4.s4.1.3
| 20 | Purva Ashadha | 23 | 21·2275 | 25 | 21·0424 | 27 | 20·8573 | 2 | 20·6722 | 4 | 20·4871 | 6 | 20·3020 | 9 | 21·1289 | 11 | 20·9438 |
| 21 | Uttara Ashadha | 24 | 22·2394 | 26 | 22·0513 | 1 | 21·8692 | 3 | 21·6841 | 5 | 21·4990 | 7 | 21·3139 | 10 | 22·1408 | 12 | 21·9557 |
| 22 | Sravana ... | 25 | 23·2513 | 27 | 23·0662 | 2 | 22·8811 | 4 | 22·6960 | 6 | 22·5109 | 8 | 22·3259 | 11 | 23·1527 | 13 | 22·9676 |
| 23 | Sravishta ... | 26 | 24·2632 | 1 | 24·0781 | 3 | 23·8930 | 5 | 23·7079 | 7 | 23·5229 | 9 | 23·3378 | 12 | 24·1646 | 14 | 23·9795 |
| 24 | Satabhishaj ... | 27 | 25·2751 | 2 | 25·0900 | 4 | 24·9049 | 6 | 24·7199 | 8 | 24·5348 | 10 | 24·3497 | 13 | 25·1765 | 15 | 24·9914 |
| 25 | Purva Bhadrapada . | 1 | 26·2870 | 3 | 26·1019 | 5 | 25·9169 | 7 | 25·7318 | 9 | 25·5467 | 11 | 25·3616 | 14 | 26·1884 | 16 | 26·0033 |
| 26 | Uttara Bhadrapada. | 2 | 27·2990 | 4 | 27·1139 | 6 | 26·9288 | 8 | 26·7437 | 10 | 26·5586 | 12 | 26·3735 | 15 | 27·2003 | 17 | 27·0153 |
| 27 | Revati ... | 3 | 28·3109 | 5 | 28·1258 | 7 | 27·9407 | 9 | 27·7556 | 11 | 27·5705 | 13 | 27·3854 | 16 | 28·2123 | 18 | 28·0272 |
| | | 4 | 29·3228 | 6 | 29·1377 | 8 | 28·9526 | 10 | 28·7675 | 12 | 28·5821 | 14 | 28·3973 | 17 | 29·2242 | 19 | 29·0391 |
| | | | | | | | | | | | | 15 | 29·4093 | | | | |
c4.s4.2
Y O G A S.
c4.s4.3.1
| Names of Yogas. | | | | | | | | | | | | | | | | | | | | | | | | | | |
| 27 Vaidhriti ... | 5 | 0·8992 | 9 | 0·5548 | 13 | 0·2104 | 18 | 0·8075 | 22 | 0·4631 | 26 | 0·1187 | 4 | 0·7157 | 8 | 0·3713 |
| 1 Vishkamba ... | 6 | 1·8407 | 10 | 1·4963 | 14 | 1·1519 | 19 | 1·7490 | 23 | 1·4046 | 27 | 1·0601 | 5 | 1·6572 | 9 | 1·3128 |
| 2 Priti ... | 7 | 2·7822 | 11 | 2·4378 | 15 | 2·0934 | 20 | 2·6905 | 24 | 2·3460 | 1 | 2·0016 | 6 | 2·5987 | 10 | 2·2543 |
| 3 Ayushmat ... | 8 | 3·7237 | 12 | 3·3793 | 16 | 3·0349 | 21 | 3·6319 | 25 | 3·2875 | 2 | 2·9431 | 7 | 3·5402 | 11 | 3·1958 |
| 4 Saubhagya ... | 9 | 4·6652 | 13 | 4·3208 | 17 | 3·9763 | 22 | 4·5734 | 26 | 4·2290 | 3 | 3·8846 | 8 | 4·4817 | 12 | 4·1373 |
| 5 Sobhana ... | 10 | 5·6067 | 14 | 5·2622 | 18 | 4·9178 | 23 | 5·5149 | 27 | 5·1705 | 4 | 4·8261 | 9 | 5·4232 | 13 | 5·0788 |
| 6 Atiganda ... | 11 | 6·5482 | 15 | 6·2037 | 19 | 5·8593 | 24 | 6·4564 | 1 | 6·1120 | 5 | 5·7676 | 10 | 6·3647 | 14 | 6·0203 |
| 7 Sukarman ... | 12 | 7·4896 | 16 | 7·1452 | 20 | 6·8008 | 25 | 7·3979 | 2 | 7·0535 | 6 | 6·7091 | 11 | 7·3062 | 15 | 6·9618 |
| 8 Dhriti ... | 13 | 8·4311 | 17 | 8·0867 | 21 | 7·7423 | 26 | 8·3394 | 3 | 7·9950 | 7 | 7·6506 | 12 | 8·2477 | 16 | 7·9032 |
| 9 Sula ... | 14 | 9·3726 | 18 | 9·0282 | 22 | 8·6838 | 27 | 9·2809 | 4 | 8·9365 | 8 | 8·5921 | 13 | 9·1891 | 17 | 8·8447 |
| 10 Ganda ... | 15 | 10·3141 | 19 | 9·9697 | 23 | 9·6253 | 1 | 10·2224 | 5 | 9·8780 | 9 | 9·5335 | 14 | 10·1306 | 18 | 9·7862 |
c4.s4.3.2
| 11 Vriddhi ... | 16 | 11·2556 | 20 | 10·9112 | 24 | 10·5668 | 2 | 11·1639 | 6 | 10·8195 | 10 | 10·4750 | 15 | 11·0721 | 19 | 10·7277 |
| 12 Dhruva ... | 17 | 12·1971 | 21 | 11·8527 | 25 | 11·5083 | 3 | 12·1053 | 7 | 11·7609 | 11 | 11·4165 | 16 | 12·0136 | 20 | 11·6692 |
| 13 Vyaghata ... | 18 | 13·1386 | 22 | 12·7942 | 26 | 12·4498 | 4 | 13·0468 | 8 | 12·7024 | 12 | 12·3580 | 17 | 12·9551 | 21 | 12·6107 |
| 14 Harshana ... | 19 | 14·0801 | 23 | 13·7357 | 27 | 13·3912 | 5 | 13·9883 | 9 | 13·6439 | 13 | 13·2995 | 18 | 13·8966 | 22 | 13·5522 |
| 15 Vajra ... | 20 | 15·0216 | 24 | 14·6771 | 1 | 14·3327 | 6 | 14·9298 | 10 | 14·5854 | 14 | 14·2410 | 19 | 14·8381 | 23 | 14·4937 |
| 16 Siddhi ... | 21 | 15·9630 | 25 | 15·6186 | 2 | 15·2742 | 7 | 15·8713 | 11 | 15·5269 | 15 | 15·1825 | 20 | 15·7796 | 24 | 15·4352 |
| 17 Vyatipata ... | 22 | 16·9045 | 26 | 16·5601 | 3 | 16·2157 | 8 | 16·8128 | 12 | 16·4684 | 16 | 16·1240 | 21 | 16·7211 | 25 | 16·3766 |
| 18 Variyas ... | 23 | 17·8460 | 27 | 17·5016 | 4 | 17·1572 | 9 | 17·7543 | 13 | 17·4099 | 17 | 17·0655 | 22 | 17·6625 | 26 | 17·3181 |
| 19 Parigha ... | 24 | 18·7875 | 1 | 18·4431 | 5 | 18·0987 | 10 | 18·6958 | 14 | 18·3514 | 18 | 18·0070 | 23 | 18·6040 | 27 | 18·2596 |
| 20 Siva ... | 25 | 19·7290 | 2 | 19·3846 | 6 | 19·0402 | 11 | 19·6373 | 15 | 19·2929 | 19 | 18·9484 | 24 | 19·5455 | 1 | 19·2011 |
| 21 Siddha ... | 26 | 20·6705 | 3 | 20·3261 | 7 | 19·9817 | 12 | 20·5788 | 16 | 20·2343 | 20 | 19·8899 | 25 | 20·4870 | 2 | 20·1426 |
c4.s4.3.3
| 22 Sadhya ... | 27 | 21·6120 | 4 | 21·2676 | 8 | 20·9232 | 13 | 21·5202 | 17 | 21·1758 | 21 | 20·8314 | 26 | 21·4285 | 3 | 21·0841 |
| 23 Subha ... | 1 | 22·5535 | 5 | 22·2091 | 9 | 21·8647 | 14 | 22·4617 | 18 | 22·1173 | 22 | 21·7729 | 27 | 22·3700 | 4 | 22·0256 |
| 24 Sukla ... | 2 | 23·4950 | 6 | 23·1506 | 10 | 22·8061 | 15 | 23·4032 | 19 | 23·0538 | 23 | 22·7144 | 1 | 23·3115 | 5 | 22·9671 |
| 25 Brahman ... | 3 | 24·4365 | 7 | 24·0920 | 11 | 23·7476 | 16 | 24·3447 | 20 | 24·0003 | 24 | 23·6559 | 2 | 24·2530 | 6 | 23·9086 |
| 26 Indra ... | 4 | 25·3779 | 8 | 25·0335 | 12 | 24·6891 | 17 | 25·2862 | 21 | 24·9418 | 25 | 24·5974 | 3 | 25·1945 | 7 | 24·8501 |
| 27 Vaidhriti ... | 5 | 26·3194 | 9 | 25·9750 | 13 | 25·6306 | 18 | 26·2277 | 22 | 25·8833 | 26 | 25·5389 | 4 | 26·1360 | 8 | 25·7915 |
| | 6 | 27·2609 | 10 | 26·9165 | 14 | 26·5721 | 19 | 27·1692 | 23 | 26·8248 | 27 | 26·4804 | 5 | 27·0774 | 9 | 26·7330 |
| | 7 | 28·2024 | 11 | 27·8580 | 15 | 27·5136 | 20 | 28·1107 | 24 | 27·7663 | 1 | 27·4219 | 6 | 28·0189 | 10 | 27·6745 |
| | 8 | 29·1439 | 12 | 28·7995 | 16 | 28·4551 | 21 | 29·0522 | 25 | 28·7078 | 2 | 28·3633 | 7 | 28·9604 | 11 | 28·6160 |
| | | | | 17 | 29·3966 | | | | | 3 | 29·3048 | | | | |
c4.s4.4
Morant of each Nakshatra and Yoga.
c4.s4.5.1
| | **NAKSHATRAS.** | | | | | | | | |
| **Ordinarily** | **Ordinarily** | **Ordinarily** | **Chaitra, when no Adhika Masa.** | **Chaitra when there is Adhika Masa.** |
| **Pausha** | **Magha** | **Phalguna** | | | |
| **IX** | **X** | **XI** | **XII** | **XIII** |
| | | | | | | | | | |
| 20 | 0·5204 | 22 | 0·3353 | 24 | 0·1502 | 27 | 0·9771 | 2 | 0·7920 |
| 21 | 1·5323 | 23 | 1·3472 | 25 | 1·1622 | 1 | 1·9890 | 3 | 1·8039 |
| 22 | 2·5442 | 24 | 2·3592 | 26 | 2·1741 | 2 | 3·0009 | 4 | 2·8158 |
| 23 | 3·5562 | 25 | 3·3711 | 27 | 3·1860 | 3 | 4·0128 | 5 | 3·8277 |
| 24 | 4·5681 | 26 | 4·3830 | 1 | 4·1979 | 4 | 5·0247 | 6 | 4·8396 |
| 25 | 5·5800 | 27 | 5·3949 | 2 | 5·2098 | 5 | 6·0366 | 7 | 5·8516 |
| 26 | 6·5919 | 1 | 6·4068 | 3 | 6·2217 | 6 | 7·0486 | 8 | 6·8635 |
| 27 | 7·6038 | 2 | 7·4187 | 4 | 7·2336 | 7 | 8·0605 | 9 | 7·8754 |
| 1 | 8·6157 | 3 | 8·4306 | 5 | 8·2456 | 8 | 9·0724 | 10 | 8·8873 |
| 2 | 9·6276 | 4 | 9·4426 | 6 | 9·2575 | 9 | 10·0843 | 11 | 9·8992 |
| | | | | | | | | | |
| 3 | 10·6396 | 5 | 10·4545 | 7 | 10·2694 | 10 | 11·0962 | 12 | 10·9111 |
| 4 | 11·6515 | 6 | 11·4664 | 8 | 11·2813 | 11 | 12·1081 | 13 | 11·9230 |
| 5 | 12·6634 | 7 | 12·4783 | 9 | 12·2932 | 12 | 13·1200 | 14 | 12·9350 |
| 6 | 13·6753 | 8 | 13·4902 | 10 | 13·3051 | 13 | 14·1320 | 15 | 13·9469 |
| 7 | 14·6872 | 9 | 14·5021 | 11 | 14·3170 | 14 | 15·1439 | 16 | 14·9588 |
| 8 | 15·6991 | 10 | 15·5140 | 12 | 15·3290 | 15 | 16·1558 | 17 | 15·9707 |
c4.s4.5.2
| 9 | 16·7110 | 11 | 16·5260 | 13 | 16·3409 | 16 | 17·1677 | 18 | 16·9826 |
| 10 | 17·7230 | 12 | 17·5379 | 14 | 17·3528 | 17 | 18·1796 | 19 | 17·9945 |
| 11 | 18·7349 | 13 | 18·5498 | 15 | 18·3647 | 18 | 19·1915 | 20 | 19·0064 |
| 12 | 19·7468 | 14 | 19·5617 | 16 | 19·3766 | 19 | 20·2034 | 21 | 20·0183 |
| | | | | | | | | | |
| 13 | 20·7587 | 15 | 20·5736 | 17 | 20·3885 | 20 | 21·2153 | 22 | 21·0303 |
| 14 | 21·7706 | 16 | 21·5855 | 18 | 21·4004 | 21 | 22·2273 | 23 | 22·0422 |
| 15 | 22·7825 | 17 | 22·5974 | 19 | 22·4124 | 22 | 23·2392 | 24 | 23·0541 |
| 16 | 23·7944 | 18 | 23·6094 | 20 | 23·4243 | 23 | 24·2511 | 25 | 24·0660 |
| 17 | 24·8064 | 19 | 24·6213 | 21 | 24·4362 | 24 | 25·2630 | 26 | 25·0779 |
| 18 | 25·8183 | 20 | 25·6332 | 22 | 25·4481 | 25 | 26·2749 | 27 | 26·0898 |
| 19 | 26·8302 | 21 | 26·6451 | 23 | 26·4600 | 26 | 27·2868 | 1 | 27·1017 |
| 20 | 27·8421 | 22 | 27·6570 | 24 | 27·4719 | 27 | 28·2987 | 2 | 28·1137 |
| 21 | 28·8540 | 23 | 28·6689 | 25 | 28·4838 | 1 | 29·3107 | 3 | 29·1256 |
| | | | | 26 | 29·4957 | | | | |
| | | | | | | | | | |
| | **YOGAS.** | | | | | | | | |
| 12 | 0·0269 | 17 | 0·6240 | 21 | 0·2796 | 26 | 0·8767 | 3 | 0·5323 |
| 13 | 0·9684 | 18 | 1·5655 | 22 | 1·2211 | 27 | 1·8182 | 4 | 1·4737 |
| 14 | 1·9099 | 19 | 2·5070 | 23 | 2·1626 | 1 | 2·7596 | 5 | 2·4152 |
| 15 | 2·8514 | 20 | 3·4485 | 24 | 3·1041 | 2 | 3·7011 | 6 | 3·3567 |
| 16 | 3·7929 | 21 | 4·3900 | 25 | 4·0455 | 3 | 4·6426 | 7 | 4·2932 |
c4.s4.5.3
| 17 | 4·7344 | 22 | 5·3314 | 26 | 4·9870 | 4 | 5·5841 | 8 | 5·2397 |
| 18 | 5·6759 | 23 | 6·2729 | 27 | 5·9285 | 5 | 6·5256 | 9 | 6·1812 |
| 19 | 6·6173 | 24 | 7·2144 | 1 | 6·8700 | 6 | 7·4671 | 10 | 7·1227 |
| 20 | 7·5588 | 25 | 8·1559 | 2 | 7·8115 | 7 | 8·4086 | 11 | 8·0642 |
| 21 | 8·5003 | 26 | 9·0974 | 3 | 8·7530 | 8 | 9·3501 | 12 | 9·0057 |
| | | | | | | | | | |
| 22 | 9·4418 | 27 | 10·0389 | 4 | 9·6945 | 9 | 10·2916 | 13 | 9·9472 |
| 23 | 10·3833 | 1 | 10·9804 | 5 | 10·6360 | 10 | 11·2331 | 14 | 10·8886 |
| 24 | 11·3248 | 2 | 11·9219 | 6 | 11·5775 | 11 | 12·1745 | 15 | 11·8301 |
| 25 | 12·2663 | 3 | 12·8634 | 7 | 12·5190 | 12 | 13·1160 | 16 | 12·7716 |
| 26 | 13·2078 | 4 | 13·8048 | 8 | 13·4604 | 13 | 14·0575 | 17 | 13·7131 |
| 27 | 14·1493 | 5 | 14·7463 | 9 | 14·4019 | 14 | 14·9990 | 18 | 14·6546 |
| 1 | 15·0907 | 6 | 15·6878 | 10 | 15·3434 | 15 | 15·9405 | 19 | 15·5961 |
| 2 | 16·0322 | 7 | 16·6293 | 11 | 16·2849 | 16 | 16·8820 | 20 | 16·5376 |
| 3 | 16·9737 | 8 | 17·5708 | 12 | 17·2264 | 17 | 17·8235 | 21 | 17·4791 |
| 4 | 17·9152 | 9 | 18·5123 | 13 | 18·1679 | 18 | 18·7650 | 22 | 18·4206 |
| | | | | | | | | | |
| 5 | 18·8567 | 10 | 19·4538 | 14 | 19·1094 | 19 | 19·7065 | 23 | 19·3621 |
| 6 | 19·7982 | 11 | 20·3953 | 15 | 20·0509 | 20 | 20·6479 | 24 | 20·3035 |
| 7 | 20·7397 | 12 | 21·3368 | 16 | 20·9924 | 21 | 21·5894 | 25 | 21·2450 |
| 8 | 21·6812 | 13 | 22·2783 | 17 | 21·9338 | 22 | 22·5309 | 26 | 22·1865 |
c4.s4.5.4
| 9 | 22·6227 | 14 | 23·2197 | 18 | 22·8753 | 23 | 23·4724 | 27 | 23·1280 |
| 10 | 23·5642 | 15 | 24·1612 | 19 | 23·8168 | 24 | 24·4134 | 1 | 24·0695 |
| 11 | 24·5056 | 16 | 25·1027 | 20 | 24·7583 | 25 | 25·3554 | 2 | 25·0110 |
| 12 | 25·4471 | 17 | 26·0442 | 21 | 25·6998 | 26 | 26·2969 | 3 | 25·9525 |
| 13 | 26·3886 | 18 | 26·9857 | 22 | 26·6413 | 27 | 27·2384 | 4 | 26·8940 |
| 14 | 27·3301 | 19 | 27·9272 | 23 | 27·5828 | 1 | 28·1799 | 5 | 27·8355 |
| 15 | 28·2716 | 20 | 28·8687 | 24 | 28·5243 | 2 | 29·1214 | 6 | 28·7769 |
| 16 | 29·2131 | | | 25 | 29·4658 | | | | |
c4.s4.6.1
| **TABLE XI—E.** | **ANNUAL CORRECTION.** | | | | | | | | |
| **ARGUMENT:—Date of appearance of 1st New-Moon in each Solar Year according to Table X.** | | | | | | | | | |
| The correction corresponding to the decimal portion of the argument should be subtracted from the Nakshatra or Yoga correction corresponding to the integral portion; thus the Nakshatra correction corresponding to an argument 28·53 = 0·11 minus ·04 = 0·07. | | | | | | | | | |
| | | | | | | | | | |
| | **NAKSHATRAS.** | | | | | | | | |
| Arg. | Corr. | Arg. | Corr. | Arg. | Corr. | Arg. | Corr. | Arg. | Corr. |
| 0 | 2·20890 | 01 | 0·0075 | 30 | 0·2244 | 59 | 0·4413 | 88 | 0·6582 |
| 1 | 2·13410 | 02 | 0·0150 | 31 | 0·2319 | 60 | 0·4488 | 91 | 0·6807 |
| 2 | 0·05930 | 03 | 0·0224 | 32 | 0·2394 | 61 | 0·4563 | 90 | 0·6732 |
| 3 | 1·98450 | 04 | 0·0299 | 33 | 0·2468 | 62 | 0·4638 | 91 | 0·6807 |
| 4 | 1·90970 | 05 | 0·0374 | 34 | 0·2543 | 63 | 0·4712 | 92 | 0·6882 |
| 5 | 1·83490 | 06 | 0·0449 | 35 | 0·2618 | 64 | 0·4787 | 93 | 0·6956 |
| 6 | 1·76010 | 07 | 0·0524 | 36 | 0·2693 | 65 | 0·4862 | 94 | 0·7031 |
| 7 | 1·68531 | 08 | 0·0598 | 37 | 0·2768 | 66 | 0·4937 | 95 | 0·7106 |
| 8 | 1·61049 | 09 | 0·0673 | 38 | 0·2842 | 67 | 0·5012 | 96 | 0·7181 |
| 9 | 1·53569 | 10 | 0·0748 | 39 | 0·2917 | 68 | 0·5086 | 97 | 0·7256 |
| | | | | | | | | | |
| 10 | 1·46089 | 11 | 0·0823 | 40 | 0·2992 | 69 | 0·5161 | 98 | 0·7330 |
| 11 | 1·38609 | 12 | 0·0898 | 41 | 0·3067 | 70 | 0·5236 | 99 | 0·7405 |
c4.s4.6.2
| 12 | 1·31129 | 13 | 0·0972 | 42 | 0·3142 | 71 | 0·5311 | | |
| 13 | 1·23649 | 14 | 0·1047 | 43 | 0·3216 | 72 | 0·5386 | | |
| 14 | 1·16169 | 15 | 0·1122 | 44 | 0·3291 | 73 | 0·5460 | | |
| 15 | 1·08689 | 16 | 0·1197 | 45 | 0·3366 | 74 | 0·5535 | | |
| 16 | 1·01209 | 17 | 0·1272 | 46 | 0·3441 | 75 | 0·5610 | | |
| 17 | 0·93729 | 18 | 0·1346 | 47 | 0·3516 | 76 | 0·5685 | | |
| 18 | 0·86249 | 19 | 0·1421 | 48 | 0·3590 | 77 | 0·5760 | | |
| 19 | 0·78769 | 20 | 0·1496 | 49 | 0·3665 | 78 | 0·5834 | | |
| | | | | | | | | | |
| 20 | 0·71288 | 21 | 0·1571 | 50 | 0·3740 | 79 | 0·5909 | | |
| 21 | 0·63808 | 22 | 0·1646 | 51 | 0·3815 | 80 | 0·5984 | | |
| 22 | 0·56328 | 23 | 0·1720 | 52 | 0·3889 | 81 | 0·6059 | | |
| 23 | 0·48848 | 24 | 0·1795 | 53 | 0·3964 | 82 | 0·6134 | | |
| 24 | 0·41368 | 25 | 0·1870 | 54 | 0·4039 | 83 | 0·6208 | | |
| 25 | 0·33888 | 26 | 0·1945 | 55 | 0·4114 | 84 | 0·6283 | | |
| 26 | 0·26408 | 27 | 0·2020 | 56 | 0·4189 | 85 | 0·6358 | | |
| 27 | 0·18928 | 28 | 0·2094 | 57 | 0·4264 | 86 | 0·6433 | | |
| 28 | 0·11448 | 29 | 0·2169 | 58 | 0·4338 | 87 | 0·6508 | | |
| 29 | 0·03968 | | | | | | | | |
| | | | | | | | | | |
| | **YOGAS.** | | | | | | | | |
| 0 | 4·11086 | 01 | 0·00139 | 30 | 0·01176 | 59 | 0·08212 | 88 | 12·149 |
| 1 | 3·97117 | 02 | 0·00278 | 31 | 0·01315 | 60 | 0·08351 | 89 | 12·388 |
| 2 | 3·83198 | 03 | 0·00417 | 32 | 0·01454 | 61 | 0·08491 | 90 | 12·527 |
| 3 | 3·69279 | 04 | 0·00557 | 33 | 0·01593 | 62 | 0·08630 | 91 | 12·666 |
c4.s4.6.3
| 4 | 3·55360 | 05 | 0·00696 | 34 | 0·01732 | 63 | 0·08769 | 92 | 12·805 |
| 5 | 3·41441 | 06 | 0·00835 | 35 | 0·01872 | 64 | 0·08908 | 93 | 12·945 |
| 6 | 3·27522 | 07 | 0·00974 | 36 | 0·02011 | 65 | 0·09047 | 94 | 13·084 |
| 7 | 3·13603 | 08 | 0·01113 | 37 | 0·02150 | 66 | 0·09186 | 95 | 13·223 |
| 8 | 2·99684 | 09 | 0·01253 | 38 | 0·02289 | 67 | 0·09326 | 96 | 13·362 |
| 9 | 2·85765 | 10 | 0·01392 | 39 | 0·02428 | 68 | 0·09465 | 97 | 13·601 |
| | | | | | | | | | |
| 10 | 2·71846 | 11 | 0·01530 | 40 | 0·02568 | 69 | 0·09601 | 98 | 13·641 |
| 11 | 2·57927 | 12 | 0·01670 | 41 | 0·02707 | 70 | 0·09731 | 99 | 13·780 |
| 12 | 2·44008 | 13 | 0·01809 | 42 | 0·02846 | 71 | 0·09882 | | |
| 13 | 2·30089 | 14 | 0·01949 | 43 | 0·02985 | 72 | 10·022 | | |
| 14 | 2·16170 | 15 | 0·02088 | 44 | 0·03124 | 73 | 10·161 | | |
| 15 | 2·02251 | 16 | 0·02227 | 45 | 0·03263 | 74 | 10·300 | | |
| 16 | 1·88332 | 17 | 0·02366 | 46 | 0·03403 | 75 | 10·139 | | |
| 17 | 1·74413 | 18 | 0·02505 | 47 | 0·03542 | 76 | 10·578 | | |
| 18 | 1·60494 | 19 | 0·02645 | 48 | 0·03681 | 77 | 10·718 | | |
| 19 | 1·46575 | 20 | 0·02784 | 49 | 0·03820 | 78 | 10·851 | | |
| | | | | | | | | | |
| 20 | 1·32656 | 21 | 0·02923 | 50 | 0·03959 | 79 | 10·996 | | |
| 21 | 1·18737 | 22 | 0·03063 | 51 | 0·04098 | 80 | 11·135 | | |
| 22 | 1·04818 | 23 | 0·03201 | 52 | 0·04238 | 81 | 11·271 | | |
| 23 | 0·90899 | 24 | 0·03340 | 53 | 0·04377 | 82 | 11·413 | | |
| 24 | 0·76980 | 25 | 0·03480 | 54 | 0·04516 | 83 | 11·553 | | |
c4.s4.6.4
| 25 | 0·63061 | 26 | 0·03619 | 55 | 0·04655 | 84 | 11·692 | | |
| 26 | 0·49142 | 27 | 0·03758 | 56 | 0·04795 | 85 | 11·831 | | |
| 27 | 0·35223 | 28 | 0·03897 | 57 | 0·04934 | 86 | 11·970 | | |
| 28 | 0·21304 | 29 | 0·04036 | 58 | 0·05073 | 87 | 12·109 | | |
| 29 | 0·07385 | | | | | | | | |
c4.s4.7
*Addendum.* *Continued from page 9.*
c4.s4.8
III.—*Required the ending moment of No. 17 Anuradha Nakshatra in June 484 A.D.* (see Tables, p. 232).
c4.s4.9
| | | days. | ☾'s Anom. days. |
| (Table X, p. 48). Ashadha New Moon, A.D. 484 | ... | June 9·67 | 4·50 |
| | | | + 3·95 |
| (Table XI-D, overleaf) Shortest Interval from Ashadha New Moon to No. 17 Anuradha Nakshatra | ... | +10·74 | +10·74 |
| (Table XI-E, overleaf) Nak. correction for A.D. 484-85 is that corresponding to 24·39 = 0·41 minus ·03 = | ... | + ·38 | + ·38 |
| | *i.e.,* | June 20·79 | 19·57 |
| (Eye-Table) ☾'s tithi equation for Anom. of 19·57 days, reduced to Nakshatra Equation, is | ... | + ·38 | |
| | | June 21·17 | |
c4.s4.10
Our Nakshatra Anuradha (No. 17) ended on 21 June, A.D. 484, at ·17, *i.e.*, 10 ghat. after mean sunrise.
c4.s4.11
*N.B.*—In using the Eye-Table for Nakshatra and Yoga equations, we should first of all find the equation as if we were investigating a tithi, and then reduce the tithi equation to a Nakshatra or Yoga equation according to the scale furnished by the Eye-Table. We give another example to illustrate this.
c4.s4.12
IV.—*Required the ending moment of Yoga Sukla (No. 24) in June 484 A.D.* (see Tables, p. 232).
c4.s4.13
| | | days. | ☉'s Anom. days. | ☾'s Anom. days. |
| (Table X, p. 48). Ashadha New Moon, A.D. 484 | ... | June 9·67 | 24·39 | 4·50 |
| | | | +59·06 | + 3·95 |
| (Table XI-D, overleaf). Shortest interval from Ashadha New Moon to No. 24 Yoga Sukla | ... | + 10·57 | +10·57 | +10·57 |
| (Table XI-E, overleaf). Yoga correction for A.D. 484-85 is that corresponding to an argument of 24·39 days, *i.e.* 0·77 minus ·05 | ... | = + 0·72 | +0·72 | + 0·72 |
| | | June 20·96 | 94·74 | +19·74 |
| (Eye-Table) Sun's tithi equation for 94·74 days, is −·04d. | | | | + 0·08 | (☉'s Yoga Equation,) |
| This with sign reversed (for Yoga), and reduced to scale of Yoga equation, becomes | ... | +·03d. | | 19·77 | |
| (Eye-Table). Moon's tithi eqn. for 19·77 days is +·41d. | | | | | |
| This, reduced to scale of Yoga equation, becomes | | +·35d. | | | |
| Sum of Sun's and Moon's Yoga equations | ... | +·38 | +·38 | | |
| Ending moment of our Yoga No. 24, Sukla, | ... | ... | June 21·34 = 20½gh. after mean sunrise on 21 June, A.D. 484. | | |
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