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Narada Purana (Jyotisha Selections) · by Vyasa
Chapter 1 · Basics and Panchanga
ज्योतिषमूलं पञ्चाङ्गं च
क्रांत्योर्जेत्रिज्ययाभिस्ते परमायक्रमोद्धते ।तच्चापांतर्मर्द्धवायोर्ज्यभाविनशीतगौ ॥ १७९ ॥
In the full Narada Purana (Purva Bhaga) this is chapter 54, verse 179.
Multiply the sines of the two declinations by the radius. Divide by the sine of the greatest declination. Take their arcs. Add the difference of the arcs, or half of it, to the Moon when the point is to come.
Simple meaning: Turn both declinations into arcs and correct the Moon by their difference.
शोध्यं चंद्राद्गते पाते तत्सूयगतिताडितम् ।
When the point has passed, take it off. Multiply by the Sun's motion and divide by the Moon's motion.
तद्वच्छशांकपातस्य फलं देयं विपर्ययात् ।
Repeat the work until the Sun's and Moon's declinations are equal.
क्रांत्योः समत्वे पातोऽथ प्रक्षिप्तांशोनिते विधौ ।
When the declinations match, the point is reached. Compare with the midnight Moon to see if it passed.