{"id":"vidhyamitra:city-day:varanasi:-3111-10-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3111-10-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3111-10-20","date_display":"October 20, 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":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585057.770833,"kali_year":-9,"ahargana":-3407.7292,"sun":{"sidereal_longitude":240.6666,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":97.7778,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":217.1113,"elapsed_within_tithi_degrees":1.1113},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.7778,"elapsed_within_degrees":4.4445},"yoga":{"number":26,"name":"Indra","sum_longitude":338.4444},"karana":{"half_tithi_index":36,"name":"Bava"},"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":-3111,"month":10,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":585057.770833,"ahargana":-3407.7292,"kali_year":-9,"ayanamsa_lahiri":-47.5331,"grahas":{"sun":{"sidereal_longitude":240.6666,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":97.7778,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":4.4642},"mars":{"sidereal_longitude":343.2735,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":223.7113,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":86.9188,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"venus":{"sidereal_longitude":265.6051,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":244.7014,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":0.5579,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":180.5579,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","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":-3111,"month":10,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":585057.770833,"kali_year":-9,"ahargana":-3407.7292,"sun":{"sidereal_longitude":240.6666,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":97.7778,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":217.1113,"elapsed_within_tithi_degrees":1.1113},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":97.7778,"elapsed_within_degrees":4.4445},"yoga":{"number":26,"name":"Indra","sum_longitude":338.4444},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.464,"elongation":142.889},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.464,"opposition_distance":37.111}},"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":"05:49","sunsetLocal":"17:36","solarNoonLocal":"11:42","dayLengthHours":11.795392260431349,"dayLengthDisplay":"11 Hours 47 Mins 43 Secs","nightLengthDisplay":"12 Hours 12 Mins 17 Secs","moonriseLocal":"19:33","moonsetLocal":"08:49","rahuKala":{"name":"Rāhu Kāla","start":"08:45","end":"10:14","startHours":8.757944080821643,"endHours":10.23236811337556,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:11","end":"14:39","startHours":13.1812161784834,"endHours":14.655640211037317,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:49","end":"07:17","startHours":5.809096015713806,"endHours":7.283520048267724,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:34","end":"08:57","startHours":8.561354209814453,"endHours":8.954533951828832,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:18","end":"06:37","startHours":6.300570693231778,"endHours":6.6151144868432805,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:19","end":"12:06","startHours":11.313612403915101,"endHours":12.099971887943859,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:14","end":"05:01","startHours":4.236377047656292,"endHours":5.022736531685049,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:50","end":"05:49","startHours":4.82614666067786,"endHours":5.809096015713806,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:40","end":"14:28","startHours":13.67269085600137,"endHours":14.459050340030126,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:24","end":"17:48","startHours":17.404488276145155,"endHours":17.804488276145154,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:36","end":"18:06","startHours":17.604488276145155,"endHours":18.09596295366313,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:21","end":"19:06","startHours":17.354488276145155,"endHours":19.104488276145155,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:19","end":"00:06","startHours":23.3136124039151,"endHours":24.09997188794386,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:49","end":"07:17","startHours":5.809096015713806,"endHours":7.283520048267724,"quality":"inauspicious"},{"name":"Śubha","start":"07:17","end":"08:45","startHours":7.283520048267724,"endHours":8.757944080821643,"quality":"auspicious"},{"name":"Roga","start":"08:45","end":"10:14","startHours":8.757944080821643,"endHours":10.23236811337556,"quality":"inauspicious"},{"name":"Udveg","start":"10:14","end":"11:42","startHours":10.23236811337556,"endHours":11.70679214592948,"quality":"inauspicious"},{"name":"Chala","start":"11:42","end":"13:11","startHours":11.70679214592948,"endHours":13.1812161784834,"quality":"neutral"},{"name":"Labha","start":"13:11","end":"14:39","startHours":13.1812161784834,"endHours":14.655640211037317,"quality":"auspicious"},{"name":"Amṛta","start":"14:39","end":"16:08","startHours":14.655640211037317,"endHours":16.130064243591235,"quality":"auspicious"},{"name":"Kāla","start":"16:08","end":"17:36","startHours":16.130064243591235,"endHours":17.604488276145155,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:36","end":"19:08","startHours":17.604488276145155,"endHours":19.130064243591235,"quality":"auspicious"},{"name":"Amṛta","start":"19:08","end":"20:39","startHours":19.130064243591235,"endHours":20.655640211037316,"quality":"auspicious"},{"name":"Kāla","start":"20:39","end":"22:11","startHours":20.655640211037316,"endHours":22.1812161784834,"quality":"inauspicious"},{"name":"Śubha","start":"22:11","end":"23:42","startHours":22.1812161784834,"endHours":23.70679214592948,"quality":"auspicious"},{"name":"Roga","start":"23:42","end":"01:14","startHours":23.70679214592948,"endHours":25.23236811337556,"quality":"inauspicious"},{"name":"Udveg","start":"01:14","end":"02:45","startHours":25.23236811337556,"endHours":26.757944080821645,"quality":"inauspicious"},{"name":"Chala","start":"02:45","end":"04:17","startHours":26.757944080821645,"endHours":28.283520048267725,"quality":"neutral"},{"name":"Labha","start":"04:17","end":"05:49","startHours":28.283520048267725,"endHours":29.809096015713806,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:49","end":"06:49","startHours":5.809096015713806,"endHours":6.809096015713806,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:49","end":"07:49","startHours":6.809096015713806,"endHours":7.809096015713806,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:49","end":"08:49","startHours":7.809096015713806,"endHours":8.809096015713806,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:49","end":"09:49","startHours":8.809096015713806,"endHours":9.809096015713806,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:49","end":"10:49","startHours":9.809096015713806,"endHours":10.809096015713806,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:49","end":"11:49","startHours":10.809096015713806,"endHours":11.809096015713806,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:49","end":"12:49","startHours":11.809096015713806,"endHours":12.809096015713806,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:49","end":"13:49","startHours":12.809096015713806,"endHours":13.809096015713806,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:49","end":"14:49","startHours":13.809096015713806,"endHours":14.809096015713806,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:49","end":"15:49","startHours":14.809096015713806,"endHours":15.809096015713806,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:49","end":"16:49","startHours":15.809096015713806,"endHours":16.809096015713806,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:49","end":"17:49","startHours":16.809096015713806,"endHours":17.809096015713806,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:49","end":"18:49","startHours":17.809096015713806,"endHours":18.809096015713806,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:49","end":"19:49","startHours":18.809096015713806,"endHours":19.809096015713806,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:49","end":"20:49","startHours":19.809096015713806,"endHours":20.809096015713806,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:49","end":"21:49","startHours":20.809096015713806,"endHours":21.809096015713806,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:49","end":"22:49","startHours":21.809096015713806,"endHours":22.809096015713806,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:49","end":"23:49","startHours":22.809096015713806,"endHours":23.809096015713806,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:49","end":"00:49","startHours":23.809096015713806,"endHours":24.809096015713806,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:49","end":"01:49","startHours":24.809096015713806,"endHours":25.809096015713806,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:49","end":"02:49","startHours":25.809096015713806,"endHours":26.809096015713806,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:49","end":"03:49","startHours":26.809096015713806,"endHours":27.809096015713806,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:49","end":"04:49","startHours":27.809096015713806,"endHours":28.809096015713806,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:49","end":"05:49","startHours":28.809096015713806,"endHours":29.809096015713806,"planetary_lord":"Mercury"}],"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":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-5.18506951039741,"eotMinutes":15.696871244231174,"ayanamsa":-47.5331}},"calendars":{"vikram_samvat":-3054,"saka_samvat":-3189,"bengali_samvat":-3704,"malayalam_era":-3935,"nanakshahi_year":-4580,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Caturthī · Vikram -3054 undefined · Śaka -3189 undefined"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":"Dedicated festival walk for Saṅkaṣṭī Caturthī is not live yet; 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 October 20, 3112 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"October 20, 3112 BCE for Vārāṇasī (Kāśī): Kṛṣṇa Caturthī, sūryodaya 05:49, sūryāsta 17:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3111-10-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3111-10-20","sa":"https://sa.vidhyamitra.com/city/varanasi/-3111-10-20","hi":"https://hi.vidhyamitra.com/city/varanasi/-3111-10-20","x-default":"https://vidhyamitra.com/city/varanasi/-3111-10-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T14:07:09.913Z","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":"2026-08-10T14:07:09.913Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T14:07:09.913Z","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"}}}