{"id":"vidhyamitra:city-day:varanasi:-3113-09-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/-3113-09-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3113-09-20","date_display":"September 20, 3114 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":-3113,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":584296.770833,"kali_year":-11,"ahargana":-4168.7292,"sun":{"sidereal_longitude":209.5433,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":150.4557,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":300.9124,"elapsed_within_tithi_degrees":0.9124},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":150.4557,"elapsed_within_degrees":3.789},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":359.999},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":-3113,"month":9,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":584296.770833,"ahargana":-4168.7292,"kali_year":-11,"ayanamsa_lahiri":-47.5623,"grahas":{"sun":{"sidereal_longitude":209.5433,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":150.4557,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":4.2394},"mars":{"sidereal_longitude":296.5574,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":214.1011,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":12.7541,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":189.476,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":222.5766,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":40.8793,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":220.8793,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","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":-3113,"month":9,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":584296.770833,"kali_year":-11,"ahargana":-4168.7292,"sun":{"sidereal_longitude":209.5433,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":150.4557,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":300.9124,"elapsed_within_tithi_degrees":0.9124},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":150.4557,"elapsed_within_degrees":3.789},"yoga":{"number":27,"name":"Vaidhṛti","sum_longitude":359.999},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.239,"elongation":59.088},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.239,"opposition_distance":120.912}},"eclipse_window_40days":[{"offset_days":20,"type":"lunar","occurs":true,"moon_latitude":0.729,"opposition_distance":0.776}]},"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":"05:34","sunsetLocal":"18:08","solarNoonLocal":"11:51","dayLengthHours":12.57238147846571,"dayLengthDisplay":"12 Hours 34 Mins 21 Secs","nightLengthDisplay":"11 Hours 25 Mins 39 Secs","moonriseLocal":"01:06","moonsetLocal":"14:43","rahuKala":{"name":"Rāhu Kāla","start":"07:08","end":"08:42","startHours":7.131315032882784,"endHours":8.702862717690998,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:16","end":"11:51","startHours":10.274410402499212,"endHours":11.845958087307427,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:25","end":"14:59","startHours":13.41750577211564,"endHours":14.989053456923854,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:30","end":"08:55","startHours":8.493323026383237,"endHours":8.91240240899876,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:25","startHours":6.083616576343975,"endHours":6.418880082436394,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:26","end":"12:16","startHours":11.426878704691903,"endHours":12.26503746992295,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:53","end":"04:43","startHours":3.883449817612476,"endHours":4.7216085828435235,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:31","end":"05:34","startHours":4.512068891535762,"endHours":5.559767348074571,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:56","end":"14:47","startHours":13.941355000385043,"endHours":14.77951376561609,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:56","end":"18:20","startHours":17.93214882654028,"endHours":18.33214882654028,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:08","end":"18:39","startHours":18.13214882654028,"endHours":18.655998054809686,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:53","end":"19:38","startHours":17.88214882654028,"endHours":19.63214882654028,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:26","end":"00:16","startHours":23.4268787046919,"endHours":24.26503746992295,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:34","end":"07:08","startHours":5.559767348074571,"endHours":7.131315032882784,"quality":"auspicious"},{"name":"Kāla","start":"07:08","end":"08:42","startHours":7.131315032882784,"endHours":8.702862717690998,"quality":"inauspicious"},{"name":"Śubha","start":"08:42","end":"10:16","startHours":8.702862717690998,"endHours":10.274410402499212,"quality":"auspicious"},{"name":"Roga","start":"10:16","end":"11:51","startHours":10.274410402499212,"endHours":11.845958087307427,"quality":"inauspicious"},{"name":"Udveg","start":"11:51","end":"13:25","startHours":11.845958087307427,"endHours":13.41750577211564,"quality":"inauspicious"},{"name":"Chala","start":"13:25","end":"14:59","startHours":13.41750577211564,"endHours":14.989053456923854,"quality":"neutral"},{"name":"Labha","start":"14:59","end":"16:34","startHours":14.989053456923854,"endHours":16.560601141732064,"quality":"auspicious"},{"name":"Amṛta","start":"16:34","end":"18:08","startHours":16.560601141732064,"endHours":18.13214882654028,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:08","end":"19:34","startHours":18.13214882654028,"endHours":19.560601141732068,"quality":"neutral"},{"name":"Labha","start":"19:34","end":"20:59","startHours":19.560601141732068,"endHours":20.989053456923852,"quality":"auspicious"},{"name":"Amṛta","start":"20:59","end":"22:25","startHours":20.989053456923852,"endHours":22.41750577211564,"quality":"auspicious"},{"name":"Kāla","start":"22:25","end":"23:51","startHours":22.41750577211564,"endHours":23.845958087307427,"quality":"inauspicious"},{"name":"Śubha","start":"23:51","end":"01:16","startHours":23.845958087307427,"endHours":25.274410402499214,"quality":"auspicious"},{"name":"Roga","start":"01:16","end":"02:42","startHours":25.274410402499214,"endHours":26.702862717690998,"quality":"inauspicious"},{"name":"Udveg","start":"02:42","end":"04:08","startHours":26.702862717690998,"endHours":28.131315032882785,"quality":"inauspicious"},{"name":"Chala","start":"04:08","end":"05:34","startHours":28.131315032882785,"endHours":29.559767348074573,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:34","end":"06:34","startHours":5.559767348074571,"endHours":6.559767348074571,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:34","end":"07:34","startHours":6.559767348074571,"endHours":7.559767348074571,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:34","end":"08:34","startHours":7.559767348074571,"endHours":8.55976734807457,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:34","end":"09:34","startHours":8.55976734807457,"endHours":9.55976734807457,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:34","end":"10:34","startHours":9.55976734807457,"endHours":10.55976734807457,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:34","end":"11:34","startHours":10.55976734807457,"endHours":11.55976734807457,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:34","end":"12:34","startHours":11.55976734807457,"endHours":12.55976734807457,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:34","end":"13:34","startHours":12.55976734807457,"endHours":13.55976734807457,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:34","end":"14:34","startHours":13.55976734807457,"endHours":14.55976734807457,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:34","end":"15:34","startHours":14.55976734807457,"endHours":15.55976734807457,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:34","end":"16:34","startHours":15.55976734807457,"endHours":16.559767348074573,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:34","end":"17:34","startHours":16.559767348074573,"endHours":17.559767348074573,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:34","end":"18:34","startHours":17.559767348074573,"endHours":18.559767348074573,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:34","end":"19:34","startHours":18.559767348074573,"endHours":19.559767348074573,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:34","end":"20:34","startHours":19.559767348074573,"endHours":20.559767348074573,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:34","end":"21:34","startHours":20.559767348074573,"endHours":21.559767348074573,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:34","end":"22:34","startHours":21.559767348074573,"endHours":22.559767348074573,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:34","end":"23:34","startHours":22.559767348074573,"endHours":23.559767348074573,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:34","end":"00:34","startHours":23.559767348074573,"endHours":24.559767348074573,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:34","end":"01:34","startHours":24.559767348074573,"endHours":25.559767348074573,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:34","end":"02:34","startHours":25.559767348074573,"endHours":26.559767348074573,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:34","end":"03:34","startHours":26.559767348074573,"endHours":27.559767348074573,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:34","end":"04:34","startHours":27.559767348074573,"endHours":28.559767348074573,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:34","end":"05:34","startHours":28.559767348074573,"endHours":29.559767348074573,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":7.067092757373019,"eotMinutes":7.346914761554353,"ayanamsa":-47.5623}},"calendars":{"vikram_samvat":-3056,"saka_samvat":-3191,"saka_samvatsara":"Prabhava","bengali_samvat":-3706,"malayalam_era":-3937,"nanakshahi_year":-4582,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Kṛṣṇa Ekādaśī · Vikram -3056 undefined · Śaka -3191 Prabhava"},"festivals":[{"id":"utpanna-ekadashi","name":"Utpannā Ekādaśī","name_sanskrit":"उत्पन्ना एकादशी","tradition":"Vaishnava","associated_deity":"Ekādaśī Devī (born of Viṣṇu)","significance":"Birth-day of Ekādaśī Devī herself; first Ekādaśī observed historically.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":3},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5},{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi_ingress":"Vṛścika"},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7, 6.34-35.","step_count":5,"url":"/walk/chandra-walk","steps":[{"label":"BG 6.5","url":"/bhagavad-gita/6/5","purpose":"Lift the self by the Self; begin the walk with inner responsibility."},{"label":"BG 6.6","url":"/bhagavad-gita/6/6","purpose":"See the mind as friend when mastered and enemy when unmastered."},{"label":"BG 6.7","url":"/bhagavad-gita/6/7","purpose":"Stabilize the conquered mind in heat/cold, honor/dishonor, pleasure/pain."},{"label":"BG 6.34","url":"/bhagavad-gita/6/34","purpose":"Name the restless mind honestly before trying to discipline it."},{"label":"BG 6.35","url":"/bhagavad-gita/6/35","purpose":"Complete with abhyāsa and vairāgya: practice and detachment."}]},"reason":"Dedicated festival walk for Utpannā Ekādaśī · Ekādaśī · Vṛścika Saṅkrānti is not live yet; Somavāra (Monday) — 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 September 20, 3114 BCE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"September 20, 3114 BCE for Vārāṇasī (Kāśī): Kṛṣṇa Ekādaśī, sūryodaya 05:34, sūryāsta 18:08.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/-3113-09-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/-3113-09-20","sa":"https://sa.vidhyamitra.com/city/varanasi/-3113-09-20","hi":"https://hi.vidhyamitra.com/city/varanasi/-3113-09-20","x-default":"https://vidhyamitra.com/city/varanasi/-3113-09-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T09:15:53.087Z","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":"2026-08-11T09:15:53.087Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T09:15:53.087Z","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"}}}