{"id":"vidhyamitra:day:1738-09-15:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1738-09-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1738-09-15","date_display":"September 15, 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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2356108.770833,"kali_year":4840,"ahargana":1767643.2708,"sun":{"sidereal_longitude":151.615,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":164.184,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.569,"elapsed_within_tithi_degrees":0.569},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":164.184,"elapsed_within_degrees":4.184},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.7991},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2356108.770833,"ahargana":1767643.2708,"kali_year":4840,"ayanamsa_lahiri":20.2029,"grahas":{"sun":{"sidereal_longitude":151.71787600000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"moon":{"sidereal_longitude":165.482076,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":3.0345},"mars":{"sidereal_longitude":55.603876000000014,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":181.84287600000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":11.84207600000002,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":196.12097600000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":81.52347599999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":121.753,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":301.753,"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":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2356108.770833,"kali_year":4840,"ahargana":1767643.2708,"sun":{"sidereal_longitude":151.615,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":164.184,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.569,"elapsed_within_tithi_degrees":0.569},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":164.184,"elapsed_within_degrees":4.184},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.7991},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.034,"elongation":12.569},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.034,"opposition_distance":167.431}},"eclipse_window_40days":[{"offset_days":-17,"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 (Adhika) Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":true,"lunar_month_purnimanta_is_adhika":true,"lunar_month_amanta_is_adhika":true,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina (Adhika) Śukla Dvitīyā · Vikram 1795 Prajāpati · Śaka 1660 Kālayukta"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1738-09-15T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga September 15, 1738 CE · Vidhyamitra","description":"Vedic pañchāṅga for September 15, 1738 CE: Śukla Dvitīyā · Hasta.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1738-09-15","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1738-09-15","sa":"https://sa.vidhyamitra.com/day/1738-09-15","hi":"https://hi.vidhyamitra.com/day/1738-09-15","x-default":"https://vidhyamitra.com/day/1738-09-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-28T15:15:17.137Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-28T15:15:17.137Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}