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Hayanaratna · by Balabhadra
Chapter 1 · Planets, Signs, Year Entry
ग्रहराशिस्वरूपवर्षप्रवेशाद्यानयनाधिकारः
अथायनांशानयनं ॥भूनेत्रवेदो ४२१ नशको दशांशहीनः खषड्भिर्विहृतोयनांशाः ॥त्रिघ्नोर्कराशिः स्वदलेन युक्तस्तावन्मिताभिर्विकलाभिराढ्याः ॥
Now finding the ayanamsha (the zodiac shift). Take the Shaka year less 421. Take away its tenth part. Divide by 60. These are the degrees of the ayanamsha. Multiply the Sun's signs by 3 and add half of that. Add that many vikalas (seconds of arc).
Simple meaning: Zodiac shift: Shaka year less 421, less a tenth, divided by 60. Add a few seconds of arc for the Sun's sign.
अथ स्पष्टलग्नानयनं । तत्र स्पष्टलग्नानयनोपयुक्तं स्वोदयसाधनं ब्रह्मतुल्ये ॥
Local rising times: start from the fixed equator times 278, 299, 323 palas, then take away or add the day-length steps.
अथलग्नसाधनम् ॥
Finding the rising sign: take away the Sun's remaining time in its sign, then the rising times of the next signs.
त्रिंशन्निघ्नमशुद्धाप्तभागाद्यं मेषपूर्वकैः ॥
Rising sign degrees: remainder x 30, divided by the rising time of the next sign. Add to the signs passed, then remove the zodiac shift.