Page:English translation of the Surya Siddhanta and the Siddhanta Siromani by Sastri, 1861.djvu/18

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8
Translation of the

To find the Ahargaṇa or
the No. of terrestrial days
from the time the planetary
motions commenced to the
present mid-night.
48. To 1,963,720,000 the number of elapsed years, add the number of years elapsed (from the end of the last Kríta yuga to the present year;) reduce the sum to months (by multiplying it by 12;) to the result add the number of lunar months from the beginning of the light half of the Chaitra[1] (of the current year to the present lunar month.)

49. Write down the result separately; multiply it by the number of additive months (in a yuga) and divide the product by the number of solar months (in a yuga); the quotient, (without the remainder,) will be the elapsed additive months. Add the quotient (without the remainder) to the said result, reduce the sum to days (by multiplying it by thirty) and increase it by the number of (lunar) days (passed of the present lunar month).

50 and 51. Write down the amount in two places; (in one place,) multiply it by the number of subtractive days (in a yuga); divide the product by the number of lunar days (in a yuga) and the quotient (without the remainder) will be the number of elapsed subtractive days. Take the number of these days from the amount (which is written in the other place) and the remainder will be the number of elapsed terrestrial days (from the time, when the planetary motions commenced) to the present midnight at Lanká.[2]

  1. That lunar month which ends, when the Sun is in Mesha (stellar Aries) the first sign of the Zodiac, is called Chaitra, and that which terminates when the Sun is in Vrishabha (Taurus) the second sign of the Zodiac, is called Vais'ákha and so on. Thus the lunar months corresponding to the twelve signs Mesha (Aries,) Vrishabha (Taurus,) Mithuna (Gemini,) Karka (Cancer,) Sinha (Leo,) Kanyá (Virgo,) Tulá (Libra,) Vris'chika (Scorpio,) Dhanu (Sagittarius,) Makara (Capiicornus,) Kumbha (Aquarius) and Mína (Pisces,) are Chaitra, Vais'ákha, Jyeshṭha, Ásháḍha, S'rávaṇa, Bhádrapada, Ás'wina, }Kártika, Márgas'írsha, Pausha, Mágha and Phálguna.

    If two lunar months terminate when the Sun is only in one sign of the Zodiac, the second of these is called Adhimása (an additive or intercalary month.) The 30th part of a lunar month is called Tithi (a lunar day.) B. D.

  2. The proof of the process for finding the Ahargana stated in the S'lokas from 48th to 51st will be clearly understood from the following statement.

    In order to find the Ahargaṇa, let the number of the Solar years elapsed be multiplied by 12; and the product is the number of elapsed solar months to the last mean Mesha Sankránti (i. e. the time when the mean Sun enters the first stellar sign of the Zodiac called stellar Aries;) to this let the number of passed