{"id":"vidhyamitra:day:2102-01-19:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2102-01-19","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2102-01-19","date_display":"January 19, 2102 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":2102,"month":1,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488817.770833,"kali_year":5203,"ahargana":1900352.2708,"sun":{"sidereal_longitude":272.8917,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":272.4987,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":359.607,"elapsed_within_tithi_degrees":11.607},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":272.4987,"elapsed_within_degrees":5.832},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":185.3904},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2102,"month":1,"day":19,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2488817.770833,"ahargana":1900352.2708,"kali_year":5203,"ayanamsa_lahiri":25.2785,"grahas":{"sun":{"sidereal_longitude":273.225016,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":272.491316,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false,"latitude":-1.3663},"mars":{"sidereal_longitude":44.69011599999999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":250.87871600000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":229.42821600000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":232.84761600000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":202.64711599999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":290.1916,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":110.1916,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":2102,"month":1,"day":19,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2488817.770833,"kali_year":5203,"ahargana":1900352.2708,"sun":{"sidereal_longitude":272.8917,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":272.4987,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":359.607,"elapsed_within_tithi_degrees":11.607},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2,"moon_longitude":272.4987,"elapsed_within_degrees":5.832},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":185.3904},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":true,"moon_latitude":-1.366,"elongation":0.393},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.366,"opposition_distance":179.607}},"eclipse_window_40days":[{"offset_days":0,"type":"solar","occurs":true,"moon_latitude":-1.366,"elongation":0.393},{"offset_days":15,"type":"lunar","occurs":true,"moon_latitude":0.307,"opposition_distance":2.772}]},"calendars":{"vikram_samvat":2159,"vikram_samvatsara":"Yuva","saka_samvat":2024,"saka_samvatsara":"Dundubhi","bengali_samvat":1509,"malayalam_era":1278,"nanakshahi_year":633,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Amāvasyā · Vikram 2159 Yuva · Śaka 2024 Dundubhi"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","relevance":0.5}]},"validity":{"eternal":false,"valid_from":"2102-01-19T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga January 19, 2102 CE · Vidhyamitra","description":"Vedic pañchāṅga for January 19, 2102 CE: Kṛṣṇa Amāvasyā · Uttara Āṣāḍhā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2102-01-19","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2102-01-19","sa":"https://sa.vidhyamitra.com/day/2102-01-19","hi":"https://hi.vidhyamitra.com/day/2102-01-19","x-default":"https://vidhyamitra.com/day/2102-01-19"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T11:43:26.532Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T11:43:26.532Z","pillar_versions":{"BOB-History":"Pūrṇa"}}}