{"id":"vidhyamitra:city-day:varanasi:-3111-12-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3111-12-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3111-12-04","date_display":"December 4, 3112 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":-3111,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585102.770833,"kali_year":-9,"ahargana":-3362.7292,"sun":{"sidereal_longitude":286.8654,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":337.09,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":50.2246,"elapsed_within_tithi_degrees":2.2246},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.09,"elapsed_within_degrees":3.7566},"yoga":{"number":20,"name":"Śiva","sum_longitude":263.9553},"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":-3111,"month":12,"day":4,"hour":6,"minute":30,"calendar":"julian"},"julian_day":585102.770833,"ahargana":-3362.7292,"kali_year":-9,"ayanamsa_lahiri":-47.5314,"grahas":{"sun":{"sidereal_longitude":286.8654,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"moon":{"sidereal_longitude":337.09,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false,"latitude":-1.6173},"mars":{"sidereal_longitude":9.0927,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":280.6377,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":81.0274,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":true},"venus":{"sidereal_longitude":321.4104,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":249.6879,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":358.1736,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":178.1736,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":-3111,"month":12,"day":4,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585102.770833,"kali_year":-9,"ahargana":-3362.7292,"sun":{"sidereal_longitude":286.8654,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":337.09,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":50.2246,"elapsed_within_tithi_degrees":2.2246},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2,"moon_longitude":337.09,"elapsed_within_degrees":3.7566},"yoga":{"number":20,"name":"Śiva","sum_longitude":263.9553},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.617,"elongation":50.225},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.617,"opposition_distance":129.775}},"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":"06:25","sunsetLocal":"17:13","solarNoonLocal":"11:49","dayLengthHours":10.810155749801694,"dayLengthDisplay":"10 Hours 48 Mins 37 Secs","nightLengthDisplay":"13 Hours 11 Mins 23 Secs","moonriseLocal":"09:51","moonsetLocal":"20:29","rahuKala":{"name":"Rāhu Kāla","start":"14:31","end":"15:52","startHours":14.521598528548704,"endHours":15.872867997273918,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:07","end":"10:28","startHours":9.116520653647857,"endHours":10.46779012237307,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:49","end":"13:10","startHours":11.81905959109828,"endHours":13.170329059823494,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:18","startHours":8.936351391151163,"endHours":9.296689916144553,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:52","end":"07:09","startHours":6.864404872439172,"endHours":7.152675692433884,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:28","end":"12:11","startHours":11.458721066104891,"endHours":12.17939811609167,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:58","end":"05:42","startHours":4.972627616223875,"endHours":5.693304666210655,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:31","end":"06:25","startHours":5.51313540371396,"endHours":6.413981716197434,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:37","end":"14:20","startHours":13.620752216065231,"endHours":14.34142926605201,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:01","end":"17:25","startHours":17.02413746599913,"endHours":17.424137465999127,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:13","end":"17:40","startHours":17.224137465999128,"endHours":17.674560622240865,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:58","end":"18:43","startHours":16.974137465999128,"endHours":18.724137465999128,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:28","end":"00:11","startHours":23.45872106610489,"endHours":24.179398116091672,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:25","end":"07:46","startHours":6.413981716197434,"endHours":7.765251184922646,"quality":"inauspicious"},{"name":"Udveg","start":"07:46","end":"09:07","startHours":7.765251184922646,"endHours":9.116520653647857,"quality":"inauspicious"},{"name":"Chala","start":"09:07","end":"10:28","startHours":9.116520653647857,"endHours":10.46779012237307,"quality":"neutral"},{"name":"Labha","start":"10:28","end":"11:49","startHours":10.46779012237307,"endHours":11.81905959109828,"quality":"auspicious"},{"name":"Amṛta","start":"11:49","end":"13:10","startHours":11.81905959109828,"endHours":13.170329059823494,"quality":"auspicious"},{"name":"Kāla","start":"13:10","end":"14:31","startHours":13.170329059823494,"endHours":14.521598528548704,"quality":"inauspicious"},{"name":"Śubha","start":"14:31","end":"15:52","startHours":14.521598528548704,"endHours":15.872867997273918,"quality":"auspicious"},{"name":"Roga","start":"15:52","end":"17:13","startHours":15.872867997273918,"endHours":17.224137465999128,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:13","end":"18:52","startHours":17.224137465999128,"endHours":18.872867997273914,"quality":"inauspicious"},{"name":"Śubha","start":"18:52","end":"20:31","startHours":18.872867997273914,"endHours":20.521598528548704,"quality":"auspicious"},{"name":"Roga","start":"20:31","end":"22:10","startHours":20.521598528548704,"endHours":22.170329059823494,"quality":"inauspicious"},{"name":"Udveg","start":"22:10","end":"23:49","startHours":22.170329059823494,"endHours":23.81905959109828,"quality":"inauspicious"},{"name":"Chala","start":"23:49","end":"01:28","startHours":23.81905959109828,"endHours":25.467790122373067,"quality":"neutral"},{"name":"Labha","start":"01:28","end":"03:07","startHours":25.467790122373067,"endHours":27.116520653647857,"quality":"auspicious"},{"name":"Amṛta","start":"03:07","end":"04:46","startHours":27.116520653647857,"endHours":28.765251184922647,"quality":"auspicious"},{"name":"Kāla","start":"04:46","end":"06:25","startHours":28.765251184922647,"endHours":30.413981716197434,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:25","end":"07:25","startHours":6.413981716197434,"endHours":7.413981716197434,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:25","end":"08:25","startHours":7.413981716197434,"endHours":8.413981716197434,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:25","end":"09:25","startHours":8.413981716197434,"endHours":9.413981716197434,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:25","end":"10:25","startHours":9.413981716197434,"endHours":10.413981716197434,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:25","end":"11:25","startHours":10.413981716197434,"endHours":11.413981716197434,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:25","end":"12:25","startHours":11.413981716197434,"endHours":12.413981716197434,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:25","end":"13:25","startHours":12.413981716197434,"endHours":13.413981716197434,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:25","end":"14:25","startHours":13.413981716197434,"endHours":14.413981716197434,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:25","end":"15:25","startHours":14.413981716197434,"endHours":15.413981716197434,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:25","end":"16:25","startHours":15.413981716197434,"endHours":16.413981716197434,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:25","end":"17:25","startHours":16.413981716197434,"endHours":17.413981716197434,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:25","end":"18:25","startHours":17.413981716197434,"endHours":18.413981716197434,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:25","end":"19:25","startHours":18.413981716197434,"endHours":19.413981716197434,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:25","end":"20:25","startHours":19.413981716197434,"endHours":20.413981716197434,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:25","end":"21:25","startHours":20.413981716197434,"endHours":21.413981716197434,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:25","end":"22:25","startHours":21.413981716197434,"endHours":22.413981716197434,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:25","end":"23:25","startHours":22.413981716197434,"endHours":23.413981716197434,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:25","end":"00:25","startHours":23.413981716197434,"endHours":24.413981716197434,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:25","end":"01:25","startHours":24.413981716197434,"endHours":25.413981716197434,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:25","end":"02:25","startHours":25.413981716197434,"endHours":26.413981716197434,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:25","end":"03:25","startHours":26.413981716197434,"endHours":27.413981716197434,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:25","end":"04:25","startHours":27.413981716197434,"endHours":28.413981716197434,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:25","end":"05:25","startHours":28.413981716197434,"endHours":29.413981716197434,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:25","end":"06:25","startHours":29.413981716197434,"endHours":30.413981716197434,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara 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":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"North","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.005576350682507,"eotMinutes":8.960824534103129,"ayanamsa":-47.5314}},"calendars":{"vikram_samvat":-3054,"saka_samvat":-3189,"bengali_samvat":-3704,"malayalam_era":-3935,"nanakshahi_year":-4580,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pañcamī · Vikram -3054 undefined · Śaka -3189 undefined"},"festivals":[{"id":"sarasvati-jayanti","name":"Sarasvatī Jayantī (Vasanta Pañchamī)","name_sanskrit":"सरस्वती जयन्ती / वसन्त पञ्चमी","tradition":"Pan-Hindu","associated_deity":"Sarasvatī (Vāk-tattva)","significance":"Manifestation of Devī Sarasvatī; vidyā-ārambha day; vasanta-ṛtu begins.","vrata":true,"detection":{"tithi_number":5,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":2,"sources":["Skanda Purāṇa","Devī Bhāgavata"]}],"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":"Dedicated festival walk for Sarasvatī Jayantī (Vasanta Pañchamī) is not live yet; Maṅgalavāra (Tuesday) — 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 4, 3112 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"December 4, 3112 BCE for Vārāṇasī (Kāśī): Śukla Pañcamī, sūryodaya 06:25, sūryāsta 17:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3111-12-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3111-12-04","sa":"https://sa.vidhyamitra.com/city/varanasi/-3111-12-04","hi":"https://hi.vidhyamitra.com/city/varanasi/-3111-12-04","x-default":"https://vidhyamitra.com/city/varanasi/-3111-12-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T13:07:07.858Z","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":"2026-08-10T13:07:07.858Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T13:07:07.858Z","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"}}}