The Calculation of Planetary Positions and Day-Counts

Having observed the "New Sprout" original: "navāṅkure"; likely referring to the Navāṅkura commentary or a specific sub-section of the text of the teachings from the feet of the venerable paternal uncle and astrologer, the wise man should consider the seat of all knowledge regarding the Pulverizer kuhaka: another name for the kuṭṭaka or "pulverizer" algorithm used to solve indeterminate equations. [Verse 34]

By taking the signs, degrees, minutes, and seconds original: "rāśi-bhāga-kalā-vikalābhir" and multiplying them by the given measures of the heavenly bodies, one obtains the result. Learn the sequence for bringing forth the day-count dinagaṇa: also known as Ahargaṇa, the number of elapsed days since the start of an epoch in the matter of the Pulverizer. [Verse 35]

In the progression of the Yuga-cycle of the Sun yugamaṇḍala-sūrya: the total revolutions of the sun in a cosmic age and others, the signs and following units are reduced to seconds. These are then multiplied by the Reduced Earth-days dṛḍha-pṛthvī-dina: the simplified total of terrestrial days in a Yuga cycle and divided. [Verse 36]

By the numbers 11,266... original: "kha-kha-ṣaṣṭi-nava-dvi-bhūmibhiḥ"; coded numbers representing 0, 0, 60, 9, 2, 1, the result is obtained. When the remainder is subtracted, and divided by the "sky-sky-sixty-nine-twelve" original: "kha-kha-ṣaṣṭi-navārka"; referring to the divisor for seconds in a circle, 2,160,000, one should add one to the result of the division. [Verse 37]

The remainder of those parts becomes the "divisor" hara, which is 11,266... The first remainder, acting as the "multiplier," is increased by the divisor and multiplied by the "reduced earth" value. [Verse 38]

If this produces the remainder of the seconds, then the calculation is well-performed. If it is the opposite, then the Yuga-count yugaṇāt: the accumulation of days is truly obtained together with it. This is the truth. [Verse 39]

The Reduced Revolutions dṛḍha-bhagaṇa: the number of planetary orbits simplified by a common factor should be the multiplier. When these are divided by the "Pulverizer-divisor" kuhaka, they should become pure (yielding no remainder). These day-counts, joined with the reduced divisors, are used by the wise for various applications. [Verse 40]

The number for purification is seven-limbs-element-direction... 16,561,977 original: "saptāṅga-tattva-śudigaṃ pañca-nṛpati". The solar cycle value is four-eight-four-four-zero-nine-eight-four-five-seven: 4,844,098,457. From this, the day-counts of the remainder are produced automatically. One should continue the process until the other planets, following the astronomical rules of the Moon and Shastra original: "śaśā-śāstrīty-ādito", are resolved. [Verse 41]

As shown here, the Constant Pulverizer sthira-kuhaka is to be performed. The process results in the following:

In this pair of heaps, 453,616,561,977 is the desired day-count. Divided by the gods, it gives the light of the days. The day-counts of the Omitted Lunar Days avama: "intercalary" negative days to sync lunar and solar calendars are added to the accumulation of lunar days. This is separated from the calculation of the Intercalary Months adhimāsa: the extra months added to the lunar calendar to match the solar year. [Verse 42]

Divided by the Moon and Rahu the ascending node of the moon, the parts of the accumulated intercalary months are without remainder...