{"id":"vidhyamitra:day:1780-01-11:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1780-01-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1780-01-11","date_display":"January 11, 1780 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":1780,"month":1,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2371201.770833,"kali_year":4881,"ahargana":1782736.2708,"sun":{"sidereal_longitude":270.1397,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":320.8069,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":50.6672,"elapsed_within_tithi_degrees":2.6672},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":320.8069,"elapsed_within_degrees":0.8069},"yoga":{"number":18,"name":"Varīyān","sum_longitude":230.9467},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1780,"month":1,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2371201.770833,"ahargana":1782736.2708,"kali_year":4881,"ayanamsa_lahiri":20.7802,"grahas":{"sun":{"sidereal_longitude":269.7450120000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":316.81771200000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":-4.4475},"mars":{"sidereal_longitude":325.676012,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":252.493512,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":187.36421199999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":292.697812,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":227.076412,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":42.0532,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":222.0532,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":1780,"month":1,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2371201.770833,"kali_year":4881,"ahargana":1782736.2708,"sun":{"sidereal_longitude":270.1397,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":320.8069,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":50.6672,"elapsed_within_tithi_degrees":2.6672},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":320.8069,"elapsed_within_degrees":0.8069},"yoga":{"number":18,"name":"Varīyān","sum_longitude":230.9467},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.447,"elongation":50.667},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.447,"opposition_distance":129.333}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":1837,"vikram_samvatsara":"Pramādī","saka_samvat":1702,"saka_samvatsara":"Śārvarī","bengali_samvat":1187,"malayalam_era":956,"nanakshahi_year":311,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pañcamī · Vikram 1837 Pramādī · Śaka 1702 Śārvarī"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"1780-01-11T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga January 11, 1780 CE · Vidhyamitra","description":"Vedic pañchāṅga for January 11, 1780 CE: Śukla Pañcamī · Pūrva Bhādrapadā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1780-01-11","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1780-01-11","sa":"https://sa.vidhyamitra.com/day/1780-01-11","hi":"https://hi.vidhyamitra.com/day/1780-01-11","x-default":"https://vidhyamitra.com/day/1780-01-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-25T23:46:08.910Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-25T23:46:08.911Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}