{"id":"vidhyamitra:city-day:varanasi:-3156-12-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3156-12-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3156-12-01","date_display":"December 1, 3157 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":-3156,"month":12,"day":1,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568663.770833,"kali_year":-54,"ahargana":-19801.7292,"sun":{"sidereal_longitude":284.4559,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":80.6823,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":156.2264,"elapsed_within_tithi_degrees":0.2264},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":80.6823,"elapsed_within_degrees":0.6823},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":5.1382},"karana":{"half_tithi_index":26,"name":"Gara"},"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":-3156,"month":12,"day":1,"hour":6,"minute":30,"calendar":"julian"},"julian_day":568663.770833,"ahargana":-19801.7292,"kali_year":-54,"ayanamsa_lahiri":-48.1602,"grahas":{"sun":{"sidereal_longitude":284.4559,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":80.6823,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false,"latitude":-4.1865},"mars":{"sidereal_longitude":40.0445,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":290.8277,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":164.0785,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":true},"venus":{"sidereal_longitude":297.0582,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":52.2415,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":149.1909,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":329.1909,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"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":-3156,"month":12,"day":1,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":568663.770833,"kali_year":-54,"ahargana":-19801.7292,"sun":{"sidereal_longitude":284.4559,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":80.6823,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":156.2264,"elapsed_within_tithi_degrees":0.2264},"nakshatra":{"number":7,"name":"Punarvasu","pada":1,"moon_longitude":80.6823,"elapsed_within_degrees":0.6823},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":5.1382},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.187,"elongation":156.226},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.187,"opposition_distance":23.774}},"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":"06:22","sunsetLocal":"17:14","solarNoonLocal":"11:48","dayLengthHours":10.858780718898027,"dayLengthDisplay":"10 Hours 51 Mins 32 Secs","nightLengthDisplay":"13 Hours 08 Mins 28 Secs","moonriseLocal":"15:46","moonsetLocal":"04:39","rahuKala":{"name":"Rāhu Kāla","start":"09:05","end":"10:27","startHours":9.084860643602152,"endHours":10.442208233464406,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:09","end":"14:31","startHours":13.156903413188912,"endHours":14.514251003051166,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:22","end":"07:44","startHours":6.370165463877646,"endHours":7.727513053739899,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:16","startHours":8.903880964953853,"endHours":9.265840322250453,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:49","end":"07:07","startHours":6.822614660498397,"endHours":7.112182146335678,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:26","end":"12:10","startHours":11.437596466030058,"endHours":12.161515180623262,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:55","end":"05:39","startHours":4.922328034691242,"endHours":5.646246749284444,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:28","end":"06:22","startHours":5.465267070636143,"endHours":6.370165463877646,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:37","end":"14:20","startHours":13.609352609809664,"endHours":14.333271324402865,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:02","end":"17:26","startHours":17.028946182775673,"endHours":17.42894618277567,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:14","end":"17:41","startHours":17.228946182775672,"endHours":17.681395379396424,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:59","end":"18:44","startHours":16.978946182775672,"endHours":18.728946182775672,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:26","end":"00:10","startHours":23.437596466030058,"endHours":24.16151518062326,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:22","end":"07:44","startHours":6.370165463877646,"endHours":7.727513053739899,"quality":"inauspicious"},{"name":"Śubha","start":"07:44","end":"09:05","startHours":7.727513053739899,"endHours":9.084860643602152,"quality":"auspicious"},{"name":"Roga","start":"09:05","end":"10:27","startHours":9.084860643602152,"endHours":10.442208233464406,"quality":"inauspicious"},{"name":"Udveg","start":"10:27","end":"11:48","startHours":10.442208233464406,"endHours":11.79955582332666,"quality":"inauspicious"},{"name":"Chala","start":"11:48","end":"13:09","startHours":11.79955582332666,"endHours":13.156903413188912,"quality":"neutral"},{"name":"Labha","start":"13:09","end":"14:31","startHours":13.156903413188912,"endHours":14.514251003051166,"quality":"auspicious"},{"name":"Amṛta","start":"14:31","end":"15:52","startHours":14.514251003051166,"endHours":15.871598592913418,"quality":"auspicious"},{"name":"Kāla","start":"15:52","end":"17:14","startHours":15.871598592913418,"endHours":17.228946182775672,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:14","end":"18:52","startHours":17.228946182775672,"endHours":18.87159859291342,"quality":"auspicious"},{"name":"Amṛta","start":"18:52","end":"20:31","startHours":18.87159859291342,"endHours":20.514251003051164,"quality":"auspicious"},{"name":"Kāla","start":"20:31","end":"22:09","startHours":20.514251003051164,"endHours":22.156903413188914,"quality":"inauspicious"},{"name":"Śubha","start":"22:09","end":"23:48","startHours":22.156903413188914,"endHours":23.79955582332666,"quality":"auspicious"},{"name":"Roga","start":"23:48","end":"01:27","startHours":23.79955582332666,"endHours":25.442208233464406,"quality":"inauspicious"},{"name":"Udveg","start":"01:27","end":"03:05","startHours":25.442208233464406,"endHours":27.084860643602152,"quality":"inauspicious"},{"name":"Chala","start":"03:05","end":"04:44","startHours":27.084860643602152,"endHours":28.727513053739898,"quality":"neutral"},{"name":"Labha","start":"04:44","end":"06:22","startHours":28.727513053739898,"endHours":30.370165463877647,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:22","end":"07:22","startHours":6.370165463877646,"endHours":7.370165463877646,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:22","end":"08:22","startHours":7.370165463877646,"endHours":8.370165463877646,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:22","end":"09:22","startHours":8.370165463877646,"endHours":9.370165463877646,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:22","end":"10:22","startHours":9.370165463877646,"endHours":10.370165463877646,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:22","end":"11:22","startHours":10.370165463877646,"endHours":11.370165463877646,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:22","end":"12:22","startHours":11.370165463877646,"endHours":12.370165463877646,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:22","end":"13:22","startHours":12.370165463877646,"endHours":13.370165463877646,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:22","end":"14:22","startHours":13.370165463877646,"endHours":14.370165463877646,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:22","end":"15:22","startHours":14.370165463877646,"endHours":15.370165463877646,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:22","end":"16:22","startHours":15.370165463877646,"endHours":16.370165463877647,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:22","end":"17:22","startHours":16.370165463877647,"endHours":17.370165463877647,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:22","end":"18:22","startHours":17.370165463877647,"endHours":18.370165463877647,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:22","end":"19:22","startHours":18.370165463877647,"endHours":19.370165463877647,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:22","end":"20:22","startHours":19.370165463877647,"endHours":20.370165463877647,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:22","end":"21:22","startHours":20.370165463877647,"endHours":21.370165463877647,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:22","end":"22:22","startHours":21.370165463877647,"endHours":22.370165463877647,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:22","end":"23:22","startHours":22.370165463877647,"endHours":23.370165463877647,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:22","end":"00:22","startHours":23.370165463877647,"endHours":24.370165463877647,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:22","end":"01:22","startHours":24.370165463877647,"endHours":25.370165463877647,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:22","end":"02:22","startHours":25.370165463877647,"endHours":26.370165463877647,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:22","end":"03:22","startHours":26.370165463877647,"endHours":27.370165463877647,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:22","end":"04:22","startHours":27.370165463877647,"endHours":28.370165463877647,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:22","end":"05:22","startHours":28.370165463877647,"endHours":29.370165463877647,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:22","end":"06:22","startHours":29.370165463877647,"endHours":30.370165463877647,"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":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Dhūmra","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":-19.322111469728746,"eotMinutes":10.131050600400467,"ayanamsa":-48.1602}},"calendars":{"vikram_samvat":-3099,"saka_samvat":-3234,"bengali_samvat":-3749,"malayalam_era":-3980,"nanakshahi_year":-4625,"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 Caturdaśī · Vikram -3099 undefined · Śaka -3234 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 1, 3157 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"December 1, 3157 BCE for Vārāṇasī (Kāśī): Śukla Caturdaśī, sūryodaya 06:22, sūryāsta 17:14.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3156-12-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3156-12-01","sa":"https://sa.vidhyamitra.com/city/varanasi/-3156-12-01","hi":"https://hi.vidhyamitra.com/city/varanasi/-3156-12-01","x-default":"https://vidhyamitra.com/city/varanasi/-3156-12-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-10T08:49:40.467Z","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":"2026-09-10T08:49:40.467Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-10T08:49:40.467Z","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"}}}