{"id":"vidhyamitra:city-day:varanasi:-3171-12-19:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3171-12-19","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3171-12-19","date_display":"December 19, 3172 BCE","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3171,"month":12,"day":19,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563202.770833,"kali_year":-69,"ahargana":-25262.7292,"sun":{"sidereal_longitude":302.6828,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":132.7668,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":190.084,"elapsed_within_tithi_degrees":10.084},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":132.7668,"elapsed_within_degrees":12.7668},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":75.4495},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":-3171,"month":12,"day":19,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563202.770833,"ahargana":-25262.7292,"kali_year":-69,"ayanamsa_lahiri":-48.369,"grahas":{"sun":{"sidereal_longitude":302.6828,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":132.7668,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false,"latitude":3.6497},"mars":{"sidereal_longitude":57.1806,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":296.4157,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":55.7188,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":263.5684,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":240.9377,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":78.541,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":258.541,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":-3171,"month":12,"day":19,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563202.770833,"kali_year":-69,"ahargana":-25262.7292,"sun":{"sidereal_longitude":302.6828,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":132.7668,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":190.084,"elapsed_within_tithi_degrees":10.084},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":132.7668,"elapsed_within_degrees":12.7668},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":75.4495},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.65,"elongation":169.916},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.65,"opposition_distance":10.084}},"eclipse_window_40days":[]},"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:37","sunsetLocal":"17:15","solarNoonLocal":"11:56","dayLengthHours":10.627572680853433,"dayLengthDisplay":"10 Hours 37 Mins 39 Secs","nightLengthDisplay":"13 Hours 22 Mins 21 Secs","moonriseLocal":"17:46","moonsetLocal":"07:26","rahuKala":{"name":"Rāhu Kāla","start":"10:36","end":"11:56","startHours":10.601286242157844,"endHours":11.929732827264523,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:35","end":"15:55","startHours":14.586625997477881,"endHours":15.91507258258456,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:57","end":"09:16","startHours":7.944393071944487,"endHours":9.272839657051165,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:06","end":"09:27","startHours":9.095713445703609,"endHours":9.449965868398722,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:04","end":"07:21","startHours":7.0587620152067005,"endHours":7.3421639533627925,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:35","end":"12:17","startHours":11.575480404569408,"endHours":12.283985249959638,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:12","end":"05:54","startHours":5.19893679605735,"endHours":5.907441641447579,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:44","end":"06:37","startHours":5.730315430100021,"endHours":6.6159464868378075,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:42","end":"14:25","startHours":13.700994940740095,"endHours":14.409499786130324,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:03","end":"17:27","startHours":17.04351916769124,"endHours":17.44351916769124,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:15","end":"17:41","startHours":17.24351916769124,"endHours":17.686334696060133,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:00","end":"18:45","startHours":16.99351916769124,"endHours":18.74351916769124,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:35","end":"00:17","startHours":23.575480404569408,"endHours":24.28398524995964,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"06:37","end":"07:57","startHours":6.6159464868378075,"endHours":7.944393071944487,"quality":"neutral"},{"name":"Labha","start":"07:57","end":"09:16","startHours":7.944393071944487,"endHours":9.272839657051165,"quality":"auspicious"},{"name":"Amṛta","start":"09:16","end":"10:36","startHours":9.272839657051165,"endHours":10.601286242157844,"quality":"auspicious"},{"name":"Kāla","start":"10:36","end":"11:56","startHours":10.601286242157844,"endHours":11.929732827264523,"quality":"inauspicious"},{"name":"Śubha","start":"11:56","end":"13:15","startHours":11.929732827264523,"endHours":13.258179412371202,"quality":"auspicious"},{"name":"Roga","start":"13:15","end":"14:35","startHours":13.258179412371202,"endHours":14.586625997477881,"quality":"inauspicious"},{"name":"Udveg","start":"14:35","end":"15:55","startHours":14.586625997477881,"endHours":15.91507258258456,"quality":"inauspicious"},{"name":"Chala","start":"15:55","end":"17:15","startHours":15.91507258258456,"endHours":17.24351916769124,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:15","end":"18:55","startHours":17.24351916769124,"endHours":18.91507258258456,"quality":"inauspicious"},{"name":"Udveg","start":"18:55","end":"20:35","startHours":18.91507258258456,"endHours":20.58662599747788,"quality":"inauspicious"},{"name":"Chala","start":"20:35","end":"22:15","startHours":20.58662599747788,"endHours":22.258179412371202,"quality":"neutral"},{"name":"Labha","start":"22:15","end":"23:56","startHours":22.258179412371202,"endHours":23.929732827264523,"quality":"auspicious"},{"name":"Amṛta","start":"23:56","end":"01:36","startHours":23.929732827264523,"endHours":25.601286242157844,"quality":"auspicious"},{"name":"Kāla","start":"01:36","end":"03:16","startHours":25.601286242157844,"endHours":27.272839657051165,"quality":"inauspicious"},{"name":"Śubha","start":"03:16","end":"04:57","startHours":27.272839657051165,"endHours":28.944393071944486,"quality":"auspicious"},{"name":"Roga","start":"04:57","end":"06:37","startHours":28.944393071944486,"endHours":30.615946486837807,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:37","end":"07:37","startHours":6.6159464868378075,"endHours":7.6159464868378075,"planetary_lord":"Venus"},{"name":"Hora 2","start":"07:37","end":"08:37","startHours":7.6159464868378075,"endHours":8.615946486837807,"planetary_lord":"Sun"},{"name":"Hora 3","start":"08:37","end":"09:37","startHours":8.615946486837807,"endHours":9.615946486837807,"planetary_lord":"Mars"},{"name":"Hora 4","start":"09:37","end":"10:37","startHours":9.615946486837807,"endHours":10.615946486837807,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"10:37","end":"11:37","startHours":10.615946486837807,"endHours":11.615946486837807,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"11:37","end":"12:37","startHours":11.615946486837807,"endHours":12.615946486837807,"planetary_lord":"Moon"},{"name":"Hora 7","start":"12:37","end":"13:37","startHours":12.615946486837807,"endHours":13.615946486837807,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"13:37","end":"14:37","startHours":13.615946486837807,"endHours":14.615946486837807,"planetary_lord":"Venus"},{"name":"Hora 9","start":"14:37","end":"15:37","startHours":14.615946486837807,"endHours":15.615946486837807,"planetary_lord":"Sun"},{"name":"Hora 10","start":"15:37","end":"16:37","startHours":15.615946486837807,"endHours":16.615946486837807,"planetary_lord":"Mars"},{"name":"Hora 11","start":"16:37","end":"17:37","startHours":16.615946486837807,"endHours":17.615946486837807,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"17:37","end":"18:37","startHours":17.615946486837807,"endHours":18.615946486837807,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"18:37","end":"19:37","startHours":18.615946486837807,"endHours":19.615946486837807,"planetary_lord":"Moon"},{"name":"Hora 14","start":"19:37","end":"20:37","startHours":19.615946486837807,"endHours":20.615946486837807,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"20:37","end":"21:37","startHours":20.615946486837807,"endHours":21.615946486837807,"planetary_lord":"Venus"},{"name":"Hora 16","start":"21:37","end":"22:37","startHours":21.615946486837807,"endHours":22.615946486837807,"planetary_lord":"Sun"},{"name":"Hora 17","start":"22:37","end":"23:37","startHours":22.615946486837807,"endHours":23.615946486837807,"planetary_lord":"Mars"},{"name":"Hora 18","start":"23:37","end":"00:37","startHours":23.615946486837807,"endHours":24.615946486837807,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"00:37","end":"01:37","startHours":24.615946486837807,"endHours":25.615946486837807,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"01:37","end":"02:37","startHours":25.615946486837807,"endHours":26.615946486837807,"planetary_lord":"Moon"},{"name":"Hora 21","start":"02:37","end":"03:37","startHours":26.615946486837807,"endHours":27.615946486837807,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"03:37","end":"04:37","startHours":27.615946486837807,"endHours":28.615946486837807,"planetary_lord":"Venus"},{"name":"Hora 23","start":"04:37","end":"05:37","startHours":28.615946486837807,"endHours":29.615946486837807,"planetary_lord":"Sun"},{"name":"Hora 24","start":"05:37","end":"06:37","startHours":29.615946486837807,"endHours":30.615946486837807,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"South-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.514651346010517,"eotMinutes":2.3204303641286352,"ayanamsa":-48.369}},"calendars":{"vikram_samvat":-3114,"saka_samvat":-3249,"bengali_samvat":-3764,"malayalam_era":-3995,"nanakshahi_year":-4640,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Kṛṣṇa Pratipada · Vikram -3114 undefined · Śaka -3249 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"varanasi"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 19, 3172 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"December 19, 3172 BCE for Vārāṇasī (Kāśī): Kṛṣṇa Pratipada, sūryodaya 06:37, sūryāsta 17:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3171-12-19","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3171-12-19","sa":"https://sa.vidhyamitra.com/city/varanasi/-3171-12-19","hi":"https://hi.vidhyamitra.com/city/varanasi/-3171-12-19","x-default":"https://vidhyamitra.com/city/varanasi/-3171-12-19"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T21:13:58.244Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-08-11T21:13:58.244Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T21:13:58.244Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Goloka/Vraja Rādhā-Krishna","Vaikuṇṭha Lakṣmī-Nārāyaṇa","Mahāviṣṇu/Kāraṇodakaśāyī Viṣṇu","Garbhodakaśāyī Viṣṇu","Brahmā","Kṣīrodaka Paramātmā/Antaryāmī (Kṣīrodakaśāyī Viṣṇu)","Bhūmi","reader's own kṣetra anywhere on Bhūmi","exact reading kṣetra","reader-bhakta","chitta/vāṇī/aṅgulī","keyboard-silicon-pathways","Vidhyāmitra substrate","reader/seer","Krishna"],"antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}