{"id":"vidhyamitra:city-day:varanasi:-3137-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3137-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3137-12-20","date_display":"December 20, 3138 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":-3137,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575621.770833,"kali_year":-35,"ahargana":-12843.7292,"sun":{"sidereal_longitude":302.8881,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":331.1503,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":28.2623,"elapsed_within_tithi_degrees":4.2623},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":331.1503,"elapsed_within_degrees":11.1503},"yoga":{"number":21,"name":"Siddha","sum_longitude":274.0384},"karana":{"half_tithi_index":4,"name":"Taitila"},"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":-3137,"month":12,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":575621.770833,"ahargana":-12843.7292,"kali_year":-35,"ayanamsa_lahiri":-47.894,"grahas":{"sun":{"sidereal_longitude":302.8881,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":331.1503,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":-0.8291},"mars":{"sidereal_longitude":104.1665,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":312.1323,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":5.2572,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":302.4576,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":284.9948,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":140.5226,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":320.5226,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"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":-3137,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":575621.770833,"kali_year":-35,"ahargana":-12843.7292,"sun":{"sidereal_longitude":302.8881,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":331.1503,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":28.2623,"elapsed_within_tithi_degrees":4.2623},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":331.1503,"elapsed_within_degrees":11.1503},"yoga":{"number":21,"name":"Siddha","sum_longitude":274.0384},"karana":{"half_tithi_index":4,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.829,"elongation":28.262},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.829,"opposition_distance":151.738}},"eclipse_window_40days":[{"offset_days":-2,"type":"solar","occurs":true,"moon_latitude":1.379,"elongation":1.905},{"offset_days":13,"type":"lunar","occurs":true,"moon_latitude":-0.42,"opposition_distance":1.553}]},"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":"06:38","sunsetLocal":"17:15","solarNoonLocal":"11:56","dayLengthHours":10.621820145106433,"dayLengthDisplay":"10 Hours 37 Mins 19 Secs","nightLengthDisplay":"13 Hours 22 Mins 41 Secs","moonriseLocal":"08:32","moonsetLocal":"19:06","rahuKala":{"name":"Rāhu Kāla","start":"09:17","end":"10:37","startHours":9.282086338348911,"endHours":10.609813856487216,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:16","end":"14:36","startHours":13.265268892763824,"endHours":14.592996410902128,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:38","end":"07:57","startHours":6.626631302072304,"endHours":7.954358820210608,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:06","end":"09:28","startHours":9.105056002597138,"endHours":9.459116674100686,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:04","end":"07:21","startHours":7.069207141451739,"endHours":7.352455678654577,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:35","end":"12:17","startHours":11.583480703121973,"endHours":12.29160204612907,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:13","end":"05:55","startHours":5.210388616058113,"endHours":5.918509959065208,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:44","end":"06:38","startHours":5.741479623313435,"endHours":6.626631302072304,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:42","end":"14:25","startHours":13.707844732143258,"endHours":14.415966075150353,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:03","end":"17:27","startHours":17.04845144717874,"endHours":17.448451447178737,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:15","end":"17:41","startHours":17.248451447178738,"endHours":17.69102728655817,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:00","end":"18:45","startHours":16.998451447178738,"endHours":18.748451447178738,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:35","end":"00:17","startHours":23.583480703121975,"endHours":24.291602046129068,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:38","end":"07:57","startHours":6.626631302072304,"endHours":7.954358820210608,"quality":"inauspicious"},{"name":"Śubha","start":"07:57","end":"09:17","startHours":7.954358820210608,"endHours":9.282086338348911,"quality":"auspicious"},{"name":"Roga","start":"09:17","end":"10:37","startHours":9.282086338348911,"endHours":10.609813856487216,"quality":"inauspicious"},{"name":"Udveg","start":"10:37","end":"11:56","startHours":10.609813856487216,"endHours":11.937541374625521,"quality":"inauspicious"},{"name":"Chala","start":"11:56","end":"13:16","startHours":11.937541374625521,"endHours":13.265268892763824,"quality":"neutral"},{"name":"Labha","start":"13:16","end":"14:36","startHours":13.265268892763824,"endHours":14.592996410902128,"quality":"auspicious"},{"name":"Amṛta","start":"14:36","end":"15:55","startHours":14.592996410902128,"endHours":15.920723929040435,"quality":"auspicious"},{"name":"Kāla","start":"15:55","end":"17:15","startHours":15.920723929040435,"endHours":17.248451447178738,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:15","end":"18:55","startHours":17.248451447178738,"endHours":18.920723929040435,"quality":"auspicious"},{"name":"Amṛta","start":"18:55","end":"20:36","startHours":18.920723929040435,"endHours":20.59299641090213,"quality":"auspicious"},{"name":"Kāla","start":"20:36","end":"22:16","startHours":20.59299641090213,"endHours":22.265268892763824,"quality":"inauspicious"},{"name":"Śubha","start":"22:16","end":"23:56","startHours":22.265268892763824,"endHours":23.93754137462552,"quality":"auspicious"},{"name":"Roga","start":"23:56","end":"01:37","startHours":23.93754137462552,"endHours":25.609813856487218,"quality":"inauspicious"},{"name":"Udveg","start":"01:37","end":"03:17","startHours":25.609813856487218,"endHours":27.28208633834891,"quality":"inauspicious"},{"name":"Chala","start":"03:17","end":"04:57","startHours":27.28208633834891,"endHours":28.954358820210608,"quality":"neutral"},{"name":"Labha","start":"04:57","end":"06:38","startHours":28.954358820210608,"endHours":30.626631302072305,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:38","end":"07:38","startHours":6.626631302072304,"endHours":7.626631302072304,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:38","end":"08:38","startHours":7.626631302072304,"endHours":8.626631302072305,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:38","end":"09:38","startHours":8.626631302072305,"endHours":9.626631302072305,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:38","end":"10:38","startHours":9.626631302072305,"endHours":10.626631302072305,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:38","end":"11:38","startHours":10.626631302072305,"endHours":11.626631302072305,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:38","end":"12:38","startHours":11.626631302072305,"endHours":12.626631302072305,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:38","end":"13:38","startHours":12.626631302072305,"endHours":13.626631302072305,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:38","end":"14:38","startHours":13.626631302072305,"endHours":14.626631302072305,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:38","end":"15:38","startHours":14.626631302072305,"endHours":15.626631302072305,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:38","end":"16:38","startHours":15.626631302072305,"endHours":16.626631302072305,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:38","end":"17:38","startHours":16.626631302072305,"endHours":17.626631302072305,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:38","end":"18:38","startHours":17.626631302072305,"endHours":18.626631302072305,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:38","end":"19:38","startHours":18.626631302072305,"endHours":19.626631302072305,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:38","end":"20:38","startHours":19.626631302072305,"endHours":20.626631302072305,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:38","end":"21:38","startHours":20.626631302072305,"endHours":21.626631302072305,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:38","end":"22:38","startHours":21.626631302072305,"endHours":22.626631302072305,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:38","end":"23:38","startHours":22.626631302072305,"endHours":23.626631302072305,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:38","end":"00:38","startHours":23.626631302072305,"endHours":24.626631302072305,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:38","end":"01:38","startHours":24.626631302072305,"endHours":25.626631302072305,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:38","end":"02:38","startHours":25.626631302072305,"endHours":26.626631302072305,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:38","end":"03:38","startHours":26.626631302072305,"endHours":27.626631302072305,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:38","end":"04:38","startHours":27.626631302072305,"endHours":28.626631302072305,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:38","end":"05:38","startHours":28.626631302072305,"endHours":29.626631302072305,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:38","end":"06:38","startHours":29.626631302072305,"endHours":30.626631302072305,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.592188621513746,"eotMinutes":1.851917522468745,"ayanamsa":-47.894}},"calendars":{"vikram_samvat":-3080,"saka_samvat":-3215,"bengali_samvat":-3730,"malayalam_era":-3961,"nanakshahi_year":-4606,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla 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 Śukla Tṛtīyā · Vikram -3080 undefined · Śaka -3215 undefined"},"festivals":[],"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":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 20, 3138 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"December 20, 3138 BCE for Vārāṇasī (Kāśī): Śukla Tṛtīyā, sūryodaya 06:38, sūryāsta 17:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3137-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3137-12-20","sa":"https://sa.vidhyamitra.com/city/varanasi/-3137-12-20","hi":"https://hi.vidhyamitra.com/city/varanasi/-3137-12-20","x-default":"https://vidhyamitra.com/city/varanasi/-3137-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-06T17:34:20.968Z","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":"2026-09-06T17:34:20.968Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-06T17:34:20.968Z","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":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","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"}}}