{"id":"vidhyamitra:day:1780-12-09:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/1780-12-09","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1780-12-09","date_display":"December 9, 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":12,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2371534.770833,"kali_year":4882,"ahargana":1783069.2708,"sun":{"sidereal_longitude":236.9959,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":22.7399,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":145.744,"elapsed_within_tithi_degrees":1.744},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":22.7399,"elapsed_within_degrees":9.4066},"yoga":{"number":20,"name":"Śiva","sum_longitude":259.7358},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":1780,"month":12,"day":9,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2371534.770833,"ahargana":1783069.2708,"kali_year":4882,"ayanamsa_lahiri":20.7929,"grahas":{"sun":{"sidereal_longitude":236.880589,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":23.382689000000028,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":-0.131},"mars":{"sidereal_longitude":188.967089,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":251.14518899999996,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":208.075289,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":198.77578900000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":233.733389,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":24.4093,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":204.4093,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"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":12,"day":9,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2371534.770833,"kali_year":4882,"ahargana":1783069.2708,"sun":{"sidereal_longitude":236.9959,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":22.7399,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":145.744,"elapsed_within_tithi_degrees":1.744},"nakshatra":{"number":2,"name":"Bharaṇī","pada":3,"moon_longitude":22.7399,"elapsed_within_degrees":9.4066},"yoga":{"number":20,"name":"Śiva","sum_longitude":259.7358},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.131,"elongation":145.744},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.131,"opposition_distance":34.256}},"eclipse_window_40days":[{"offset_days":-13,"type":"solar","occurs":true,"moon_latitude":-1.4,"elongation":0.445}]},"calendars":{"vikram_samvat":1837,"vikram_samvatsara":"Pramādī","saka_samvat":1702,"saka_samvatsara":"Śārvarī","bengali_samvat":1187,"malayalam_era":956,"nanakshahi_year":311,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Trayodaśī · Vikram 1837 Pramādī · Śaka 1702 Śārvarī"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":"1780-12-09T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga December 9, 1780 CE · Vidhyamitra","description":"Vedic pañchāṅga for December 9, 1780 CE: Śukla Trayodaśī · Bharaṇī.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/1780-12-09","hreflang_alternates":{"en":"https://vidhyamitra.com/day/1780-12-09","sa":"https://sa.vidhyamitra.com/day/1780-12-09","hi":"https://hi.vidhyamitra.com/day/1780-12-09","x-default":"https://vidhyamitra.com/day/1780-12-09"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-25T18:01:46.581Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-25T18:01:46.581Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}