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434
EPIGRAPHIA INDICA.
Samkranti occurred 2gh. 7p. before the moment calculated, but new-moon more than a whole day; accordingly this new-moon too belonged to Bhadrapada, and as there were two new moons in Bhadrapada, there was an intercalary Bhadrapada according to the Arya Siddhanta as well as the Súrya Siddhanta.
56. The Special Tables may also be used for computing mean intercalations. For this purpose the subjoined Table, which is similar to that given in $ 35, should be employed. To show its working, let us calculate by it the second example in $ 85, mean Pausha, in 8741 K.Y., according to the Brahma Siddhanta.
Dist. 8700 K. Y. 2270 300
41 years 48 46 30 Mean Pausha 88 814
859° 47' 34"
Accordingly mean new-moon occurred about 1 gh. later than the beginning of
mean solar Pausha. At the end of the same solar month the Men solar month. Distance
distance will be larger by 11° 3' 53'. It follows that the dig. (Chaitra pr. y.) (848° 56'
tance will come out 10° 51' 27' for the end of mean Pausha.
7") Vaikba 0 0
By Table XXII it will be seen that this amount of difference Jyaisbtha Arbados
corresponds to more than 58 gh. by which time accordingly Bravada Bhadrapada
new-moon preceded the end of Pausha. As there were two A vina Karttika
mean new-moons in mean solar Pausha, there was due a Margasira
mean intercalary month, which by the common rule was Pausha Magha
Pausha; but by the rule of the Brahma Siddhanta itself Phálguns Chaitra
quoted above ($ 10, note 7), the month would have been an (Vail. fol. yr.). (132
intercalated mean Margasira.
Corrections for true local time. 57. The calculations taught above yield the astronomical data in mean Lanka time, reckoned from mean sunrise at Lanka. The Hindus, however, actually employ true local time. reckoned from true sunrise at the place of the observer or computer. Therefore, in order to make the results square with the latter, we must apply to the result in Lanka time the following corrections.
58. Correction for mean local time.-Mean local time is reckoned from mean sun. rise at the point on the Equator which has the same longitude with the place under con. sideration. This correction is found by the difference in longitude between Ujjain and the given place. The difference in minutes is at once the interval sought in asus, six of which make a vináļi. In Table XXV the interval between mean Lanka and local time is given for a considerable number of places. If the place is east of Lanká (i.e. Ujjain), the sign + is prefixed to the interval; if west, the sign – The interval applied, according to its sign, to Lanka time gives mean local time.
Let it be proposed to find the true tithi for 4300 K. Y. 28th Bhadrapada at Anhilwad, on the basis of the first Arya Siddhanta, corrected. Mean Anhilwad time differs from mean Lanka time by -40 din.; therefore, the mean sun rises 40 din. later on the meridian of Anhilwad than at Lanka. We combine these 38 din, with 'Cor.' in
