Professor Jacobi's "Indian Antiquary" (Vol. XVII.) Tables 1 to 4 (pp. 161, 162)
18
Note on the Kollam era
18
Days of a civil month—The four rules
18
Conversion of results by the Ārya into results by the Sūrya Siddhānta, and vice versa
19
Correction I. (year-lengths)
19
Correction II. (month-lengths)
21
Correction III. (śōdhya-lengths)
22
Mēsha saṁkrānti according to the Original Sūrya Siddhānta
23
Mēsha saṁkrānti according to the Brāhma Siddhānta
25
Mēsha saṁkrānti according to the Siddhānta Śirōmaṇi
26
Luni-Solar Reckoning—
Preliminary
28
The beginning of the luni-solar year
29
The ordinary civil beginning
30
Amānta and pūrṇimānta systems
31
Computation by true lunar months and tithis
31
Rule for finding a, b, c in very early years
32
Professor Jacobi's "Indian Antiquary" (Vol. XVII.) Tables 5 and 6
34
Adhika and kshaya tithis
35
Computation by mean lunar months and tithis
36
Intercalations and suppressions of lunar months. True and mean systems
37
Conversion of results by the Ārya into results by the Sūrya Siddhānta, and vice versa
39
(a) The "true" or "apparent" system
39
(b) The mean system
40
Nakshatras, Yōgas, and Karaṇas—
Nakshatras
40
Yōgas
45
Karaṇas
45
The sixty-year cycle of Jupiter—General remarks
46
Calculation by the Sūrya Siddhānta without the bīja
49
Calculation by the Sūrya Siddhānta with the bīja
52
Calculation by the First Ārya Siddhānta or Āryabhaṭīya
53
Calculation by the Original Sūrya Siddhānta
55
Calculation by the Brāhma Siddhānta and Siddhānta Śirōmaṇi
58
Calculation by the Second Ārya Siddhānta
62
Calculation with reference to mean Mēsha saṁkrānti
64
Difference in reckoning in Northern and Southern India since about A.D. 908
64
The twelve-year cycle of Jupiter
65
Jupiter's mean longitude
66
Jupiter's true longitude
69
Note on preparation of Table XXXVIII. B., being a continuation of Table I. of the Indian Calendar to A.D. 1950
72
The lagna
74
Hints
75
Examples—
Solar reckoning:
1, 2. Apparent Mēsha saṁkrānti. Time of—by different authorities
81
3, 4. Apparent Mēsha saṁkrānti. Time of—in very early years
81
5, 6. Mean Mēsha saṁkrānti. Time of—by different authorities
82
7, 8. Conversion of results by the Ārya into results by the Sūrya Siddhānta, and vice versa
83
9, 10. Tropical, or sāyana, Mēsha saṁkrāntis
84
11, 12. Other "true" saṁkrāntis
86
13, 14. Conversion (as above)
86
15, 16. Other mean saṁkrāntis
87
17, 18. Conversion (as above)
87
18a, 18b. Other tropical saṁkrāntis
88
Note to Examples 9, 10, 18a, 18b
90
19. The European civil day corresponding to a given Hindū solar day
90
Luni-solar reckoning:
20—22a. The true tithi current at any moment, and the times of its beginning and ending in mean time
91
23. How to find if a true tithi was added or suppressed
95
24. The mean tithi current at any moment, and the times of its beginning and ending
97
26. To prove a date where a given tithi is coupled with a solar date
99
"True" intercalations and suppressions of lunar months by the Ārya Siddhānta—
27. A common year
100
28. Year with intercalation
101
29. Year with suppression
103
The same by the Sūrya Siddhānta—
30. A common year
105
31. Year with intercalation
105
32. Year with suppression
106
33, 34, 35. Conversion of results (as above)
107
Mean intercalations of lunar months by the Ārya Siddhānta—
36. A common year
108
37. Year with intercalation
109
The same by the Sūrya Siddhānta—
38. A common year
109
39. Year with intercalation
110
39a, 39b. Conversion of results (as above)
110
40, 41, 42. Calculation by mean lunar months in case of a year succeeding one in which there was an intercalation of a month by the mean, but not by the "true" system. Use of table XXIV.
111
Nakshatras, Yōgas, and Karaṇas—
43. The moon's nakshatra at any moment
113
44. Its beginning and ending times
114
45. The same—an example from N. India
115
46. The same, by Dr. Schram's method
116
47. The yoga at any given moment
116
47a. The karaṇa at any given moment
116
Bṛihaspati, or Jovian, saṁvatsaras—
48, 49. To find which saṁvatsara begain in a given solar year, and which was current at apparent Mēsha saṁkrānti
117
50. To find the time of beginning and ending of a Jovian saṁvatsara, by the Sūrya Siddhānta without the bīja
118
51. Ditto, and the sign in which mean Jupiter stood
119
52. Ditto . Rough process
120
53. To find the same by the Sūrya Siddhānta with the bīja
120
54. Ditto. The end of the saṁvatsara
121
55. Ditto, and the sign in which mean Jupiter stood
122
56, 57, 58. The same by the Ārya Siddhānta
122
59. The same by the Original Sūrya Siddhānta
122
59a. The same by the Brāhma Siddhānta and Siddhānta Śirōmaṇi
122
60. The Kollam era. The twelve-year cycle
123
61. To find Jupiter's mean longitude at any time
124
62. To find the true longitude of Jupiter at any time
126
63. To find the time of any day when a particular sign of the zodiac becomes, or remains, lagna, i.e., rising on the eastern horizon
127
Tables—
XVII. For conversion of the time of Mēsha saṁkrānti as found by the Ārya Siddhānta into the same by the Sūrya Siddhānta, and vice versa
131
XVIII.A. Duration and collective duration of "true" solar months, with their increase in a, b, c; by the Ārya Siddhānta
132
XVIII.B. The same by the Sūrya Siddhānta
132
XVIII.C. Difference in time and in a, b, c between the Ārya and Sūrya Siddhāntas at the moments of the several solar saṁkrāntis
133
XIX.A. Collective duration of mean solar months, and increase at each saṁkrānti, by the Ārya Siddhānta
134
XIX.B. The same by the Sūrya Siddhānta
134
XX.A. The length of each "true" solar month in time and decimals of a day, by the Ārya and Sūrya Siddhāntas
135
XX.B. The ayanāṁśas, or amount of precession of the equinoxes in degrees, for 2000 years, according to the Sūrya Siddhānta
136
XXI. Collective duration in days of mean lunar months from new-moon of amānta Chaitra; and the same for the mean tithis of every mean lunar month
137
XXII. Correspondence in degrees of signs and nakshatras
138
XXIII. Dr. Schram's Table for determination of nakshatras and yōgas
139
XXIV. Commencement of the luni-solar year in certain years when the mean system of intercalations of lunar months is used
140
XXV. Conversion of ghaṭikās and palas into hours and minutes, and vice versa
141
XXVI.A. and B. Renumbered as Tables XLI.A and B below.
XXVII. and XXVII.A. The 60-saṁvatsara cycle of Jupiter by the Sūrya Siddhānta without the bīja
142, 143
XXVIII. and XXVIII.A. The same, by the Sūrya Siddhānta with the bīja
144, 145
XXIX. and XXIX.A. The same, by the First Ārya Siddhānta
146, 147
XXX. and XXX.A. The same, by the Original Sūrya Siddhānta
148, 149
XXXI. and XXXI.A. The same, by the Brāhma Siddhānta and Siddhānta Śirōmaṇi
150, 151
XXXII. The twelve-year cycle of Jupiter
152
XXXIII. For finding the mean place of Jupiter. His mean motion in terms of years
153
XXXIV. Mean motion of Jupiter and sun in days, hours and minutes
154
XXXV. For finding the true place of Jupiter. Tables of parallax and equation of the centre
155
XXXVI. Conversion of decimals of a day into hours, minutes and seconds
156
Preliminary note to Table XXXVII.
157
XXXVII. Elements of the several Siddhāntas. Motion of sun and Jupiter
158, 159
XXXVIII.A. Extension of Table I., Indian Calendar, backwards to 59 B.C., for fixing times of apparent Mēsha saṁkrānti by the Ārya Siddhānta
160-164
XXXVIII.B. Extension of Table I., Indian Calendar, forwards from A.D. 1900 to A.D. 1950
166-169
XXXVIII.C. Mean Mēsha saṁkrānti by the Ārya Siddhānta from A.D. 499 to A.D. 1075
