{"id":"vidhyamitra:city-day:ujjain:-3187-09-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3187-09-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3187-09-21","date_display":"September 21, 3188 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":-3187,"month":9,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":557269.770833,"kali_year":-85,"ahargana":-31195.7292,"sun":{"sidereal_longitude":211.7226,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":77.2796,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":225.557,"elapsed_within_tithi_degrees":9.557},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":77.2796,"elapsed_within_degrees":10.6129},"yoga":{"number":22,"name":"Sādhya","sum_longitude":289.0022},"karana":{"half_tithi_index":37,"name":"Bālava"},"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":-3187,"month":9,"day":21,"hour":6,"minute":30,"calendar":"julian"},"julian_day":557269.770833,"ahargana":-31195.7292,"kali_year":-85,"ayanamsa_lahiri":-48.5959,"grahas":{"sun":{"sidereal_longitude":211.7226,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":77.2796,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":3.1457},"mars":{"sidereal_longitude":205.7937,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":196.0056,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":273.922,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":168.2311,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":33.1554,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":32.8999,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":212.8999,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"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":-3187,"month":9,"day":21,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":557269.770833,"kali_year":-85,"ahargana":-31195.7292,"sun":{"sidereal_longitude":211.7226,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":77.2796,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":225.557,"elapsed_within_tithi_degrees":9.557},"nakshatra":{"number":6,"name":"Ārdrā","pada":4,"moon_longitude":77.2796,"elapsed_within_degrees":10.6129},"yoga":{"number":22,"name":"Sādhya","sum_longitude":289.0022},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.146,"elongation":134.443},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.146,"opposition_distance":45.557}},"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":"06:04","sunsetLocal":"18:34","solarNoonLocal":"12:19","dayLengthHours":12.50209626531921,"dayLengthDisplay":"12 Hours 30 Mins 08 Secs","nightLengthDisplay":"11 Hours 29 Mins 52 Secs","moonriseLocal":"21:00","moonsetLocal":"09:43","rahuKala":{"name":"Rāhu Kāla","start":"07:38","end":"09:12","startHours":7.630605110459688,"endHours":9.193367143624588,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:45","end":"12:19","startHours":10.75612917678949,"endHours":12.31889120995439,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:53","end":"15:27","startHours":13.881653243119292,"endHours":15.444415276284193,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:24","startHours":8.984998872535936,"endHours":9.401735414713242,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:35","end":"06:55","startHours":6.58876375501642,"endHours":6.922152988758266,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:54","end":"12:44","startHours":11.902154667777083,"endHours":12.735627752131698,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:24","end":"05:14","startHours":4.400896908585558,"endHours":5.234369992940173,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:02","end":"06:04","startHours":5.026001721851519,"endHours":6.0678430772947864,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:24","end":"15:14","startHours":14.402573920840926,"endHours":15.23604700519554,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:22","end":"18:46","startHours":18.369939342613996,"endHours":18.769939342613995,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:34","end":"19:05","startHours":18.569939342613996,"endHours":19.09086002033563,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:19","end":"20:04","startHours":18.319939342613996,"endHours":20.069939342613996,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:54","end":"00:44","startHours":23.902154667777083,"endHours":24.7356277521317,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:04","end":"07:38","startHours":6.0678430772947864,"endHours":7.630605110459688,"quality":"auspicious"},{"name":"Kāla","start":"07:38","end":"09:12","startHours":7.630605110459688,"endHours":9.193367143624588,"quality":"inauspicious"},{"name":"Śubha","start":"09:12","end":"10:45","startHours":9.193367143624588,"endHours":10.75612917678949,"quality":"auspicious"},{"name":"Roga","start":"10:45","end":"12:19","startHours":10.75612917678949,"endHours":12.31889120995439,"quality":"inauspicious"},{"name":"Udveg","start":"12:19","end":"13:53","startHours":12.31889120995439,"endHours":13.881653243119292,"quality":"inauspicious"},{"name":"Chala","start":"13:53","end":"15:27","startHours":13.881653243119292,"endHours":15.444415276284193,"quality":"neutral"},{"name":"Labha","start":"15:27","end":"17:00","startHours":15.444415276284193,"endHours":17.007177309449094,"quality":"auspicious"},{"name":"Amṛta","start":"17:00","end":"18:34","startHours":17.007177309449094,"endHours":18.569939342613996,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:34","end":"20:00","startHours":18.569939342613996,"endHours":20.007177309449094,"quality":"neutral"},{"name":"Labha","start":"20:00","end":"21:27","startHours":20.007177309449094,"endHours":21.444415276284193,"quality":"auspicious"},{"name":"Amṛta","start":"21:27","end":"22:53","startHours":21.444415276284193,"endHours":22.881653243119292,"quality":"auspicious"},{"name":"Kāla","start":"22:53","end":"00:19","startHours":22.881653243119292,"endHours":24.31889120995439,"quality":"inauspicious"},{"name":"Śubha","start":"00:19","end":"01:45","startHours":24.31889120995439,"endHours":25.75612917678949,"quality":"auspicious"},{"name":"Roga","start":"01:45","end":"03:12","startHours":25.75612917678949,"endHours":27.193367143624588,"quality":"inauspicious"},{"name":"Udveg","start":"03:12","end":"04:38","startHours":27.193367143624588,"endHours":28.630605110459687,"quality":"inauspicious"},{"name":"Chala","start":"04:38","end":"06:04","startHours":28.630605110459687,"endHours":30.067843077294786,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:04","end":"07:04","startHours":6.0678430772947864,"endHours":7.0678430772947864,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:04","end":"08:04","startHours":7.0678430772947864,"endHours":8.067843077294786,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:04","end":"09:04","startHours":8.067843077294786,"endHours":9.067843077294786,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:04","end":"10:04","startHours":9.067843077294786,"endHours":10.067843077294786,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:04","end":"11:04","startHours":10.067843077294786,"endHours":11.067843077294786,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:04","end":"12:04","startHours":11.067843077294786,"endHours":12.067843077294786,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:04","end":"13:04","startHours":12.067843077294786,"endHours":13.067843077294786,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:04","end":"14:04","startHours":13.067843077294786,"endHours":14.067843077294786,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:04","end":"15:04","startHours":14.067843077294786,"endHours":15.067843077294786,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:04","end":"16:04","startHours":15.067843077294786,"endHours":16.067843077294786,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:04","end":"17:04","startHours":16.067843077294786,"endHours":17.067843077294786,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:04","end":"18:04","startHours":17.067843077294786,"endHours":18.067843077294786,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:04","end":"19:04","startHours":18.067843077294786,"endHours":19.067843077294786,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:04","end":"20:04","startHours":19.067843077294786,"endHours":20.067843077294786,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:04","end":"21:04","startHours":20.067843077294786,"endHours":21.067843077294786,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:04","end":"22:04","startHours":21.067843077294786,"endHours":22.067843077294786,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:04","end":"23:04","startHours":22.067843077294786,"endHours":23.067843077294786,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:04","end":"00:04","startHours":23.067843077294786,"endHours":24.067843077294786,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:04","end":"01:04","startHours":24.067843077294786,"endHours":25.067843077294786,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:04","end":"02:04","startHours":25.067843077294786,"endHours":26.067843077294786,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:04","end":"03:04","startHours":26.067843077294786,"endHours":27.067843077294786,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:04","end":"04:04","startHours":27.067843077294786,"endHours":28.067843077294786,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:04","end":"05:04","startHours":28.067843077294786,"endHours":29.067843077294786,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:04","end":"06:04","startHours":29.067843077294786,"endHours":30.067843077294786,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"North-East","anandadiYoga":{"name":"Mudgara","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":6.629254915619331,"eotMinutes":7.712527402736593,"ayanamsa":-48.5959}},"calendars":{"vikram_samvat":-3130,"saka_samvat":-3265,"bengali_samvat":-3780,"malayalam_era":-4011,"nanakshahi_year":-4656,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Caturthī · Vikram -3130 undefined · Śaka -3265 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":"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 Saṅkaṣṭī Caturthī is not live yet; Somavāra (Monday) — 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 September 21, 3188 BCE · Ujjain · Vidhyamitra","description":"September 21, 3188 BCE for Ujjain: Kṛṣṇa Caturthī, sūryodaya 06:04, sūryāsta 18:34.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3187-09-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3187-09-21","sa":"https://sa.vidhyamitra.com/city/ujjain/-3187-09-21","hi":"https://hi.vidhyamitra.com/city/ujjain/-3187-09-21","x-default":"https://vidhyamitra.com/city/ujjain/-3187-09-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T21:37:24.303Z","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":"2026-08-11T21:37:24.304Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T21:37:24.304Z","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"}}}