ब्राह्मस्फुटसिद्धान्त (ब्रह्मगुप्त - शून्य, कुट्टक, बीजगणित एवं सम्पूर्ण २१ अध्याय सान्वय सटीक)

ĀRYABHAṬA & BRAHMAGUPTA CONTROVERSY 87 (under the midnight day-reckoning) should be noted carefully by learned scholars : Add 180° to the longitudes of the mandoccas (apogees) apd śīghroccas of Mercury and Venus, and subtract 3 signs from the mandoccas (apogees) and śīghroccas of the remaining planets. Then are obtained the longitudes of the manda and śīghra pātas of the planets. (Also) add 2 degrees to the longitudes of the manda pātas and śīghroccas of Venus, Saturn and Jupiter, and 1½ degrees to those of Mars and Mercury. (It should be noted that) the śīghra pātas have been stated for all the planets excepting Mercury. (Mercury does not have a śīghra pāta).¹ That is to say, the longitudes of the manda pātas of Mars, Mercury, Jupiter, Venus, and Saturn are 21.5, 41.5, 72, 262 and 152 degrees respectively; and the longitudes of the śīghra pātas of Mars, Jupiter, Venus and Saturn are (śīghrocca--88.5°), (śīghrocca —88°), (śīghrocca+182°) and (śīghrocca--88°) respectively. (vii) A rule for finding the celestial latitude of a planet is as follows : (From the longitude of a planet severally) subtract the longitudes of its (manda and śīghra) pātas and there- from calculate (as usual) the corresponding celestial latitude of that planet. Add them or take their differ- ence according as they are of like or unlike directions. Then is obtained the true celestial latitude of that particular planet. The true celestial latitude of any other planet is also obtained in the same way. The remaining (astronomical) determinations are the same as stated before. This all is in brief the difference of the other tantra (embodying the midnight day-reckon-

1. पातभागाश्च विज्ञेयाः पण्डितैः परिकल्पिताः ॥ —28 मन्द शीघ्रोच्चयोः क्षेप्यं चक्रार्धं बुधशुक्रयोः । राशित्रयं तु शेषाणां पात्यते पातसिद्धये ॥ —29 शुक्राऽर्किदेव पूज्यानां भागौ द्वावेव संयुतौ । मन्दपाताच्च शीघ्रोच्चात् सार्धांशस्तु कुजज्ञयोः ॥ —30 विबुधानां च सर्वेषां शीघ्रपाताः प्रकीर्तिताः । MBh. VII. 28 (ii) 31 (i)