Chapter 5: Parallax in a solar eclipse

5.1 · computed

no parallax in longitude at the meridian point; none in latitude when the ecliptic passes the zenith

1. madhyalagnasame bhānau harijasya na sambhavah/
akṣodaṅmadhyabhakrāntisāmye nāvanater api//

Computed by: parallaxInLongitudeparallaxInLatitude

5.2 · descriptive (nothing to compute)

how the two parallaxes arise

2. deśakālaviśeṣeṇa yathāvanatisambhavah/
lambanasyāpi pūrvānyadigvaśāc ca tathocyate//

5.3 · computed

the orient-sine from the ascendant

3. lagnaṃ parvāntanāḍīnāṃ kuryāt svair udayāsubhih/
tajjyāntyāpakramajyāghnī lambajyāptodayābhidhā//

Computed by: orientSinehorizonPoints

5.4-5 · computed

the meridian point; meridian zenith-distance and meridian-sine

4. tadā laṅkodayair lagnaṃ madhyasaṃjñaṃ yathoditam/
tatkrāntyakṣāṃśasaṃyogo dikṣāmye +antaram anyathā//

5. śeṣaṃ natāṃśās tanmaurvī madhyajyā sābhidhīyate/
madhyodayajyayābhyastā trijyāptā vargitaṃ phalam//

Computed by: meridianZenithDistancehorizonPoints

5.6-7 · computed

sines of ecliptic zenith-distance and altitude; the divisor

6. madhyajyāvargaviśliṣṭaṃ dṛkkṣepah śeṣatah padam/
tattrijyāvargaviśleṣān mūlaṃ śaṅkuh sa dṛggatih//

7. natāṃśabāhukoṭijye +asphuṭe dṛkkṣepadṛggatī/
ekajyārdhagataś chedo labdhaṃ dṛggatijīvayā//

Computed by: eclipticZenith

5.8-9 · computed

parallax in longitude in nadis, applied to the end of the lunar day and repeated

8. madhyalagnārkaviśleṣajyā chedena vibhājitā/
ravīndvor lambanaṃ jñeyaṃ prākpaścād ghaṭikādikam//

9. madhyalagnādhike bhānau tithyantāt praviśodhayet/
dhanam ūne +asakṛt karma yāvat sarvaṃ sthirībhavet//

Computed by: parallaxInLongitudeequateForParallax

5.10-12 · computed

parallax in latitude (and its shorter forms); the apparent latitude

10. dṛkkṣepah śītatigmāṃśvor madhyabhuktyantarāhatah/
tithighnatrijyayā bhakto labdhaṃ sāvanatir bhavet//

11. dṛkkṣepāt saptatihṛtād bhaved vāvanatih phalam/
athavā trijyayā bhaktāt saptasaptakasaṅguṇāt//

12. madhyajyādigvaśāt sā ca vijñeyā dakṣiṇottarā/
senduvikṣepadikṣāmye yuktā viśleṣitānyathā//

Computed by: parallaxInLatitudeparallaxAt

5.13 · computed

half-durations, obscuration, deflection and scale as for a lunar eclipse

13. tayā sthitivimardārdhagrāsādyaṃ tu yathoditam/
pramāṇaṃ valanābhīṣṭagrāsādi himaraśmivat//

Computed by: solarEclipse

5.14-17 · computed

parallax at contact and separation; half-durations corrected by their differences, or sum

14. sthityardhonādhikāt prāgvat tithyā(?)ntalāl lambanaṃ punah/
grāsamokṣodbhavaṃ sādhyaṃ tanmadhyaharijāntaram//

15. prākkapāle +adhikaṃ madhyād bhavet prāgrahaṇaṃ yadi/
maukṣikaṃ lambanaṃ hīnaṃ paścārdhe tu viparyayah//

16. tadā mokṣasthitidale deyaṃ pragrahaṇe tathā/
harijāntarakaṃ śodhyaṃ yatraitat syād viparyayah//

17. etad uktaṃ kapālaikye tadbhede lambanaikatā/
sve sve sthitidale yojyā vimardārdhe +api coktavat// [chedyaka]

Computed by: correctHalfDurationssolarEclipse