Surya Siddhanta
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क्रान्तिज्या विषुवद्भाघ्नी क्षितिज्या द्वादशोद्धृता । त्रिज्यागुणाहोरात्रार्धकर्णाप्ता चरजासवः॥
Multiply the sine of declination (above found) by the length (in digits) of the equinoctial shadow,[1] divide the product by 12, the quotient is the Kujyá:[2] The Kujyá multiplied by the radius and divided by the Dyujyá (above found) becomes the sine of the ascensional difference. The arc of that sine (in minutes) is the ascensional difference in Práṇas.
english translation
krAntijyA viSuvadbhAghnI kSitijyA dvAdazoddhRtA । trijyAguNAhorAtrArdhakarNAptA carajAsavaH॥
hk transliteration by Sanscriptतत्कार्मुकम् उदक्क्रान्तौ *धनशनी पृथक्स्थिते ।(C धनहानी) स्वाहोरात्रचतुर्भागे दिनरात्रिदले स्मृते ॥
Add and subtract the ascensional difference to and from the fourth part of the length of the day and night of the planet (as found in s'loka 59) separately, the results will be lengths of the half day and half night respectively of the planet when its declination is north.
english translation
tatkArmukam udakkrAntau *dhanazanI pRthaksthite ।(C dhanahAnI) svAhorAtracaturbhAge dinarAtridale smRte ॥
hk transliteration by Sanscriptयाम्यक्रान्तौ विपर्यस्ते द्विगुणे तु दिनक्षपे । विक्षेपयुक्तोनितया क्रान्त्या भानाम् अपि स्वके ॥
But when the planet's declination is south, the reverse of this takes place (i. e. the results, just found, will be tbe lengths of the half night and half day of the planet respectively). (In both cases,) twice the results are the lengths of the day and night (respectively). In the same way, the lengths of the day and night of any fixed star can be determined from its declination which is to be found by adding or subtracting its latitude to or from the declination (of its corresponding point in the ecliptic).
english translation
yAmyakrAntau viparyaste dviguNe tu dinakSape । vikSepayuktonitayA krAntyA bhAnAm api svake ॥
hk transliteration by Sanscriptभभोगो +अष्टशतीलिप्ताः खाश्विशैलास् तथा तिथेः । ग्रहलिप्ताभभोगाप्ता भानि भुक्त्या दिनादिकम् ॥
The Bha-bhoga (or the space of a Nakshatra or an Asterism) contains 800′ minutes, and the Bhoga of a tithi (or the space which the Moon describes from the Sun in tithi or lunar day) contains 720′ minutes. The place of a planet, reduced to minutes, divided by the Bhabhoga or 800′, gives the number of those Nakshatra or Asterisms (counted from As'winí which are passed by the planet: and the remainder is that portion of the present Nakshatra which is passed by the planet.) (This remainder divided) by the diurnal motion (of the planet) gives the quotient in the days, ghatikás, &c. which the planet has taken to pass that portion of the present Nakshatra.
english translation
bhabhogo +aSTazatIliptAH khAzvizailAs tathA titheH । grahaliptAbhabhogAptA bhAni bhuktyA dinAdikam ॥
hk transliteration by Sanscriptरवीन्दुयोगलिप्ताभ्यो योगा भभोगभाजिताः । गता गम्याश् च षष्टिघ्न्यो भुक्तियोगाप्तनाडिकाः॥
The sum of the places of the Moon (found at a given time,) reduced to minutes, is to be divided by the Bha-bhoga (or 800′.) The quotient is the number of the elapsed Yogas (counted from Vishkarubha): (The remainder is called the Gata of the present Yoga, and the Bha-bhoga (or 800′) diminished by the gata is called the gamya of that yoga.) The gata and gamya of the present yoga multiplied by 60 and divided by the sum of the diurnal motions (of the Sun and Moon) become the numbers of the past and to be past ghaṭikás (respectively of the present Yoga at the given time.)
english translation
ravInduyogaliptAbhyo yogA bhabhogabhAjitAH । gatA gamyAz ca SaSTighnyo bhuktiyogAptanADikAH॥
hk transliteration by Sanscript