{"id":"vidhyamitra:day:1738-09-13:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1738-09-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1738-09-13","date_display":"September 13, 1738 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1738,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2356106.770833,"kali_year":4840,"ahargana":1767641.2708,"sun":{"sidereal_longitude":149.6665,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":137.0425,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":347.376,"elapsed_within_tithi_degrees":11.376},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":137.0425,"elapsed_within_degrees":3.7092},"yoga":{"number":22,"name":"Sādhya","sum_longitude":286.709},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":1738,"month":9,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2356106.770833,"ahargana":1767641.2708,"kali_year":4840,"ayanamsa_lahiri":20.2028,"grahas":{"sun":{"sidereal_longitude":149.765652,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"moon":{"sidereal_longitude":138.011352,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":1.1775},"mars":{"sidereal_longitude":54.70775200000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":179.76255200000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":12.004252000000008,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":193.785752,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":81.38665200000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":121.859,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":301.859,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1738,"month":9,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2356106.770833,"kali_year":4840,"ahargana":1767641.2708,"sun":{"sidereal_longitude":149.6665,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":137.0425,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":347.376,"elapsed_within_tithi_degrees":11.376},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2,"moon_longitude":137.0425,"elapsed_within_degrees":3.7092},"yoga":{"number":22,"name":"Sādhya","sum_longitude":286.709},"karana":{"half_tithi_index":57,"name":"Śakuni"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.177,"elongation":12.624},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.177,"opposition_distance":167.376}},"eclipse_window_40days":[{"offset_days":-15,"type":"lunar","occurs":true,"moon_latitude":-0.746,"opposition_distance":2.926}]},"calendars":{"vikram_samvat":1795,"vikram_samvatsara":"Prajāpati","saka_samvat":1660,"saka_samvatsara":"Kālayukta","bengali_samvat":1145,"malayalam_era":914,"nanakshahi_year":269,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Kṛṣṇa Caturdaśī · Vikram 1795 Prajāpati · Śaka 1660 Kālayukta"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi_ingress":"Kanyā"},"precedence":4},{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1738-09-13T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga September 13, 1738 CE · Vidhyamitra","description":"Vedic pañchāṅga for September 13, 1738 CE: Kṛṣṇa Caturdaśī · Pūrva Phalgunī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1738-09-13","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1738-09-13","sa":"https://sa.vidhyamitra.com/day/1738-09-13","hi":"https://hi.vidhyamitra.com/day/1738-09-13","x-default":"https://vidhyamitra.com/day/1738-09-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-28T15:12:02.422Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-28T15:12:02.422Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}