पञ्चसिद्धान्तिका (आचार्य वराहमिहिर - सूर्य, रोमक, पौलिश, वासिष्ठ एवं पितामह सिद्धान्त)

XVIII.63 XVIII. VĀSIṢṬHA-PAULIŚA – RISING AND SETTING 353 Note. The verse is very corrupt. But knowing what it is about we can give the meaning, making possible corrections. The rising is mentioned here as it is more important for application to dharma- śāstra etc. But rising also envisages setting with the word 'less' taken for 'more', and 'more' for 'less'. Example 1. The latitude of the moon is 3° 45' N. The maximum half-cara of the place is 150 vināḍīs. The oblique ascensional difference of the rising sign is 280 vināḍīs near sunset. Find the ecliptic distance between the Sun and Moon, for the heliacal rising of the Moon. The time-degrees for the moon is 12°. The heliacal rising of the Moon takes place in the evening. R sin 3° 45′ × 150 ÷ 480 = 7 38/60 × 150 ÷ 480 = 2° 23′. This is additive since the Moon's latitude is north, and the phenomena pertains to the west. Therefore, the corrected time-degrees = 14°. 14° × 300 ÷ 280 = 15° is the distance on the ecliptic between the Sun and the Moon, required. Example 2. For the same place, (i.e., max. half-cara 150 vināḍis) find the ecliptic distance required for heliacal rising, given: the latitude of Mars 1° 15' N, and the oblique ascensional difference near sunrise at that time is 330 vināḍis. The latitude correction to the time degrees (17° for Mars) = R sin 1° 15′ × 150 ÷ 480 = 2′ 33 ″ × 150 ÷ 480 taken as degrees = 48′. As the latitude is north, and the phenomenon pertains to the east, (since it is the rising of Mars that is considered), it is subtractive. ∴ 17° − 48′ = 16° 12′ is the corrected time-degrees. 16° 12′ × 300 ÷ 330 = 14° 44′, is the distance on the ecliptic required. [पञ्चसिद्धान्तिकोपसंहारः] आवन्त्यकः समासा (च्छि) ष्यहितार्थं स्फुटाङ्कसमम् । चक्रे वराहमिहिरः ताराग्रहकारिकातंत्रम् ॥ ६१ ॥ प्रद्युम्नभूमितनये जी (वे) (सौरैऽथ वि) जयनन्दिकृते । बुधे (च भग्नो) [त्साहः] स्फुटमिदं करणं भजतात् ॥ ६२ ॥ दृष्टं वराहमिहिरेण सुखप्रबोधं .............................. .............................. .............................. ॥ ६३ ॥ 61. For the good of his disciples, Varāhamihira, belonging to the Avanti country (Ujjain region), wrote this section dealing with the star-planets, briefly but with the constants agreeing with the original (siddhāntas). 62. A learner, discouraged by the computation of Mars by the astronomer Pradyumna, the computation of Jupiter according to the Saura siddhānta, and