{"id":"vidhyamitra:city-day:ujjain:-3113-05-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3113-05-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3113-05-20","date_display":"May 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":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":584173.770833,"kali_year":-11,"ahargana":-4291.7292,"sun":{"sidereal_longitude":89.5455,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":332.3701,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":242.8245,"elapsed_within_tithi_degrees":2.8245},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":332.3701,"elapsed_within_degrees":12.3701},"yoga":{"number":5,"name":"Śobhana","sum_longitude":61.9156},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":5,"day":20,"hour":6,"minute":30,"calendar":"julian"},"julian_day":584173.770833,"ahargana":-4291.7292,"kali_year":-11,"ayanamsa_lahiri":-47.567,"grahas":{"sun":{"sidereal_longitude":89.5455,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":332.3701,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":-4.3469},"mars":{"sidereal_longitude":250.9215,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"mercury":{"sidereal_longitude":89.1092,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":16.6702,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":44.6355,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":215.5371,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":47.3965,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":227.3965,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":-3113,"month":5,"day":20,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":584173.770833,"kali_year":-11,"ahargana":-4291.7292,"sun":{"sidereal_longitude":89.5455,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":332.3701,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":242.8245,"elapsed_within_tithi_degrees":2.8245},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":332.3701,"elapsed_within_degrees":12.3701},"yoga":{"number":5,"name":"Śobhana","sum_longitude":61.9156},"karana":{"half_tithi_index":40,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.347,"elongation":117.175},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.347,"opposition_distance":62.825}},"eclipse_window_40days":[]},"city":{"slug":"ujjain","name":"Ujjain","lat":23.1765,"lon":75.7885,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ujjain","name":"Ujjain","lat":23.1765,"lon":75.7885,"tz_offset_hours":5.5,"state":"Madhya Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:52","sunsetLocal":"18:54","solarNoonLocal":"12:23","dayLengthHours":13.031025921269936,"dayLengthDisplay":"13 Hours 01 Mins 52 Secs","nightLengthDisplay":"10 Hours 58 Mins 08 Secs","moonriseLocal":"23:13","moonsetLocal":"09:56","rahuKala":{"name":"Rāhu Kāla","start":"14:01","end":"15:39","startHours":14.016339689888987,"endHours":15.645217930047732,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:52","end":"07:30","startHours":5.871948489095279,"endHours":7.500826729254021,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:08","end":"10:46","startHours":9.129704969412764,"endHours":10.758583209571505,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:21","startHours":8.912521204058264,"endHours":9.346888734767262,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:46","startHours":6.414907902481526,"endHours":6.762401927048725,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:49","startHours":11.953093919021248,"endHours":12.821828980439244,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:08","end":"05:00","startHours":4.134478366259287,"endHours":5.003213427677283,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:47","end":"05:52","startHours":4.786029662322784,"endHours":5.871948489095279,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:34","end":"15:26","startHours":14.559299103275237,"endHours":15.428034164693232,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:42","end":"19:06","startHours":18.702974410365215,"endHours":19.102974410365213,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:54","end":"19:27","startHours":18.902974410365214,"endHours":19.44593382375146,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:39","end":"20:24","startHours":18.652974410365214,"endHours":20.402974410365214,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:49","startHours":23.95309391902125,"endHours":24.821828980439243,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:52","end":"07:30","startHours":5.871948489095279,"endHours":7.500826729254021,"quality":"auspicious"},{"name":"Roga","start":"07:30","end":"09:08","startHours":7.500826729254021,"endHours":9.129704969412764,"quality":"inauspicious"},{"name":"Udveg","start":"09:08","end":"10:46","startHours":9.129704969412764,"endHours":10.758583209571505,"quality":"inauspicious"},{"name":"Chala","start":"10:46","end":"12:23","startHours":10.758583209571505,"endHours":12.387461449730246,"quality":"neutral"},{"name":"Labha","start":"12:23","end":"14:01","startHours":12.387461449730246,"endHours":14.016339689888987,"quality":"auspicious"},{"name":"Amṛta","start":"14:01","end":"15:39","startHours":14.016339689888987,"endHours":15.645217930047732,"quality":"auspicious"},{"name":"Kāla","start":"15:39","end":"17:16","startHours":15.645217930047732,"endHours":17.274096170206473,"quality":"inauspicious"},{"name":"Śubha","start":"17:16","end":"18:54","startHours":17.274096170206473,"endHours":18.902974410365214,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:54","end":"20:16","startHours":18.902974410365214,"endHours":20.274096170206473,"quality":"auspicious"},{"name":"Kāla","start":"20:16","end":"21:39","startHours":20.274096170206473,"endHours":21.64521793004773,"quality":"inauspicious"},{"name":"Śubha","start":"21:39","end":"23:01","startHours":21.64521793004773,"endHours":23.016339689888987,"quality":"auspicious"},{"name":"Roga","start":"23:01","end":"00:23","startHours":23.016339689888987,"endHours":24.387461449730246,"quality":"inauspicious"},{"name":"Udveg","start":"00:23","end":"01:46","startHours":24.387461449730246,"endHours":25.758583209571505,"quality":"inauspicious"},{"name":"Chala","start":"01:46","end":"03:08","startHours":25.758583209571505,"endHours":27.129704969412764,"quality":"neutral"},{"name":"Labha","start":"03:08","end":"04:30","startHours":27.129704969412764,"endHours":28.50082672925402,"quality":"auspicious"},{"name":"Amṛta","start":"04:30","end":"05:52","startHours":28.50082672925402,"endHours":29.871948489095278,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:52","end":"06:52","startHours":5.871948489095279,"endHours":6.871948489095279,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:52","end":"07:52","startHours":6.871948489095279,"endHours":7.871948489095279,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:52","end":"08:52","startHours":7.871948489095279,"endHours":8.871948489095278,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:52","end":"09:52","startHours":8.871948489095278,"endHours":9.871948489095278,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:52","end":"10:52","startHours":9.871948489095278,"endHours":10.871948489095278,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:52","end":"11:52","startHours":10.871948489095278,"endHours":11.871948489095278,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:52","end":"12:52","startHours":11.871948489095278,"endHours":12.871948489095278,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:52","end":"13:52","startHours":12.871948489095278,"endHours":13.871948489095278,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:52","end":"14:52","startHours":13.871948489095278,"endHours":14.871948489095278,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:52","end":"15:52","startHours":14.871948489095278,"endHours":15.871948489095278,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:52","end":"16:52","startHours":15.871948489095278,"endHours":16.871948489095278,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:52","end":"17:52","startHours":16.871948489095278,"endHours":17.871948489095278,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:52","end":"18:52","startHours":17.871948489095278,"endHours":18.871948489095278,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:52","end":"19:52","startHours":18.871948489095278,"endHours":19.871948489095278,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:52","end":"20:52","startHours":19.871948489095278,"endHours":20.871948489095278,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:52","end":"21:52","startHours":20.871948489095278,"endHours":21.871948489095278,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:52","end":"22:52","startHours":21.871948489095278,"endHours":22.871948489095278,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:52","end":"23:52","startHours":22.871948489095278,"endHours":23.871948489095278,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:52","end":"00:52","startHours":23.871948489095278,"endHours":24.871948489095278,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:52","end":"01:52","startHours":24.871948489095278,"endHours":25.871948489095278,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:52","end":"02:52","startHours":25.871948489095278,"endHours":26.871948489095278,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:52","end":"03:52","startHours":26.871948489095278,"endHours":27.871948489095278,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:52","end":"04:52","startHours":27.871948489095278,"endHours":28.871948489095278,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:52","end":"05:52","startHours":28.871948489095278,"endHours":29.871948489095278,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":15.427809803699105,"eotMinutes":3.5983130161851964,"ayanamsa":-47.567}},"calendars":{"vikram_samvat":-3056,"saka_samvat":-3191,"saka_samvatsara":"Prabhava","bengali_samvat":-3706,"malayalam_era":-3937,"nanakshahi_year":-4582,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Ṣaṣṭhī · Vikram -3056 undefined · Śaka -3191 Prabhava"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi_ingress":"Karka"},"precedence":2}],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Dedicated festival walk for Karka Saṅkrānti (Dakṣiṇāyana) is not live yet; Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":true,"location_specific":"ujjain"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga May 20, 3114 BCE · Ujjain · Vidhyamitra","description":"May 20, 3114 BCE for Ujjain: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:52, sūryāsta 18:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3113-05-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3113-05-20","sa":"https://sa.vidhyamitra.com/city/ujjain/-3113-05-20","hi":"https://hi.vidhyamitra.com/city/ujjain/-3113-05-20","x-default":"https://vidhyamitra.com/city/ujjain/-3113-05-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-09T07:52:20.974Z","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":"2026-09-09T07:52:20.974Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-09T07:52:20.974Z","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"}}}