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

322 PAÑCASIDDHĀNTIKĀ XVIII.15 ∴ True Jupiter = 5ʳ 9° 30′ + (1165 + 18) 18′/24 = 5ʳ 9° 30′ + 14° 47′ = 5ʳ 24° 17′. Eq. cent. = True − Mean = 5ʳ 4° 17′ − 6ʳ 2° 18′ = −8° 1′. (iii) The padas at 399 days in the cycle, i.e., the beginning of 6 cycles gone = 198 + 36 = 234 = 180 + 54. Mean Jupiter = 234 × 360 ÷ 391 = 7ʳ 5° 27′. True Jupiter = 5ʳ 9° 30′ + (1165 + 54) 54′/24 = 6ʳ 25° 13′ True − mean = Eq. cent. = 10° 14′. Eq. cent. at 0 day of 6th cycle = −8° 1′ Eq. cent. at 399 days of 6th cycle = − 8° 1′ Eq. cent. at remaining days (385-59) = = (385-59) × −2° 13′ ÷ 399 + −8° 1′ = −10° 10′. (iv) True Jup. is less than Mean Jup. by 10° 10′. ∴ days of Anomaly of Conj. = 385-59 + 10-10 = 396-9. (v) True an. of conj. = for 60 days + 12° for 40 days + 4° for 24 days + 2° for 56 days − 6° for 60 days − 6° for 80 days + 12° for 48 days + 9° Total 368 days + 27° 28-9/31 × 6° 8′ = 5° 32′ for 28-9 days 5° 32′ 396-9 32° 32′ (vi) True Jup. = Mean Jup. at 0 day of An. of conj. + eq. cent. + true ano. of conj. = 6ʳ 2° 18′ − 10° 10′ + 32° 32′ = 6ʳ 24° 40′. Note 1: The need for interpolating the eq. cent. to the remaining days in the cycle can be seen by working for 399 days of the 6th cycle and 0 day of the 7th cycle and comparing. They must be the same. Note 2: The eq. cent. is computed for 0 day of each cycle, i.e., for intervals of 36 padas = 33° 9′. Interpolation using these, as we have done, can be only rough. To get better interpolations, we can divide the 36 padas into desired segments, find the eq. cent. of each, and use. We can form an ephemeride, giving the values at the ends of the day segments given, 60, 40, 24, etc. and use for interpolation. All these logically follow from the instructions, though not specifically stated. [शनिचार:] अध्यर्धशतं (स)त्र्यंशमपनयेत् सूर्यजस्य दिवसेभ्यः । 'वसुमुनिगुणो' (द्भू)तेभ्यः स्थि(ता) दिनाद्या(स्स) मभ्युदयात् ॥ १४ ॥ जह्या(दु)दयदशांशं क्षुभ्यो नवसंगुणा(न् भ)जेदुदया(न्) । 'षड्विषययमैः' शेषं पदैर्युतं त(न्र)वाशीत्या ॥ १५ ॥