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The planets located within the same lunar mansion Nakshatra should be made distinct and accurate as appropriate; this is the specific rule. Now, the calculation of the precession of the equinoxes Ayanamsha. This is clarified by the rule "by the eras of the arrows, oceans, and ages" referring to the number 445 using the Katapayadi system. For example:
The Shaka era year 1516 1594 CE is reduced by the "arrows, oceans, and ages" (445). The result is 1071. This is divided by sixty (60), and the resulting quotient for the precession is 17 degrees and 51 minutes. For every month starting from Chaitra (the first month), an additional 5 seconds Vikalas must be added. Since 1 month has passed here, 5 seconds are added, resulting in 17|51|5. // 40 //

When the Sun generated at the start of the year is not exactly equal to the Sun at birth,
take the difference between the two and divide it by the daily motion.
The resulting time in Ghatis and Palas traditional units of time; 1 Ghati = 24 minutes should be subtracted from or added to
the time of the year's entrance, depending on whether the birth Sun is less or greater than the year's Sun.
Thus, the exact time of the solar return becomes clear. // 41 //

Now, he explains the refinement of the time of the year's commencement with the verse "The Sun generated at the start of the year..." The result, calculated in Ghatis and other units, is applied to the time of the year's entrance. If the Sun at birth is less than the Sun at the year's start, subtract it; if it is greater, add it. In this way, the time of the year's entrance Varshapravesha is made precise. Then, the positions of the planets should be calculated for that specific time.

Example:
Year's Sun: 11s 12° 6' 51" Signs, degrees, minutes, seconds
Birth Sun: 11s 12° 6' 46"
The difference between them: 0s 0° 0' 5"
Daily motion: 57' 30"
Converted to seconds: 3450
The difference converted: 300
Dividing these, the result in Ghatis etc. is 0|5.
Since the birth Sun is less than the year's Sun, this is subtracted from the year's entrance time of 8|58.
The result is 8|53.
Calculating from this time as before, the Sun becomes equal to the birth Sun: 11|12|6|49 The minor discrepancy of 3 seconds is considered negligible.
Daily motion: 57|30.
All planets should be calculated in this manner. Because the difference is very small, the birth Sun is the governing factor in determining the year's entrance. // 41 //

The rising times at the equator Lankodaya are: 278, 299, and 323 Vinadis units of 0.4 seconds. These are reduced by the terrestrial latitude...