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Sajjan Singh Lishk & Š. D. Sharma The time for which a nakşatra (asterism) combines with Sun can be easily computed by applying ratio and proportion as follows:
x:y :: sidereal revolution of Sun : sidereal revolution of Moon where x = The period for which the Sun in its sidereal revolution combines
with a naksatra, y. Zodiacal stretch of the nakşatra (asterism) in Muhurtas or the period
for which the Moon in one sidereal revolution combines with it. Sidereal revolution of Sun = 366 days of 30 muhurtas each = 10980
muhurtas and sidereal revolution of Moon = 81927 muhurtas.
x:y:: 10980 : 819 67
or s = 7 y. .. .. .. ..(1)...
.
y
muhürtas, x = 4 days and 6 muhūrtas.
y – 15 muhurtas, x = 6 days and 21 muhurtas,
y = 30 muhârtas, x = 13 days and 12 muhurtas. and y = 45 muhurtas, x = 20 days and 3 muhurtas. The values of x as derived above are also stated in JP 9,8 as :
“Abhijit ( Lyrae) combines with Sun for 4 days 6 muhurtas only (1). Satabhisa (1 Aquarii), Bharani (41 Arietis), Ārdrā (* Orionis), Āśleşā (€ Hydrae), Svāti (a Bootis) and Jyesthā (a Scorpii) (6 nakşatras) combine (with Sun) for 6 days 21 muhūrtas each (2). Three Uttarās (viz. Uttarabhādrapada i e. y Pegasi, Uttarāphalguni i.e. ß Leonis, and Uttarāṣādba i.e. (o Sagittarii), Punarvasu (B Geminorum), Rohiņi (a Tauri), Visakha (« Libra) (6 nak atras) combine (with Sun) for 20 days 3 muhurtas each (3).
The rest of the 15 nakşatras (asterisms) combine (with the Sun) for 13 days 12 muhurtas each."
This suggests that zodiacal circumference was graduated in 366 days of a solar year. But this seems to be of the theoretical interest only.
2. Later, we find still a minute division of zodaical circumference. The actual velocities of Sun and Moon are depicted with 54900 celestial parts (abbreviated, C.P.) equivalent to the 360° of the modern celestial sphere. SP. 15. 2-3 states :
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