{"id":"vidhyamitra:city-day:ujjain:-3171-09-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3171-09-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3171-09-11","date_display":"September 11, 3172 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":-3171,"month":9,"day":11,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563103.770833,"kali_year":-69,"ahargana":-25361.7292,"sun":{"sidereal_longitude":201.4583,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":260.6425,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":59.1843,"elapsed_within_tithi_degrees":11.1843},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":260.6425,"elapsed_within_degrees":7.3092},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":102.1008},"karana":{"half_tithi_index":9,"name":"Bālava"},"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":-3171,"month":9,"day":11,"hour":6,"minute":30,"calendar":"julian"},"julian_day":563103.770833,"ahargana":-25361.7292,"kali_year":-69,"ayanamsa_lahiri":-48.3728,"grahas":{"sun":{"sidereal_longitude":201.4583,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":260.6425,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false,"latitude":0.2465},"mars":{"sidereal_longitude":70.33,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":216.3812,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":65.2754,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":159.7155,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":230.5769,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":83.7865,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":263.7865,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":-3171,"month":9,"day":11,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":563103.770833,"kali_year":-69,"ahargana":-25361.7292,"sun":{"sidereal_longitude":201.4583,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":260.6425,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":59.1843,"elapsed_within_tithi_degrees":11.1843},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3,"moon_longitude":260.6425,"elapsed_within_degrees":7.3092},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":102.1008},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.247,"elongation":59.184},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.247,"opposition_distance":120.816}},"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":"06:01","sunsetLocal":"18:45","solarNoonLocal":"12:23","dayLengthHours":12.722501568818755,"dayLengthDisplay":"12 Hours 43 Mins 21 Secs","nightLengthDisplay":"11 Hours 16 Mins 39 Secs","moonriseLocal":"10:38","moonsetLocal":"22:01","rahuKala":{"name":"Rāhu Kāla","start":"13:58","end":"15:34","startHours":13.970839493529631,"endHours":15.561152189631976,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:01","end":"07:37","startHours":6.01927601301791,"endHours":7.6095887091202545,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:12","end":"10:47","startHours":9.1999014052226,"endHours":10.790214101324942,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:25","startHours":8.987859712408952,"endHours":9.411943098036245,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:33","end":"06:53","startHours":6.549380245052024,"endHours":6.888646953553858,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:48","startHours":11.956443411799995,"endHours":12.804610183054578,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:19","end":"05:10","startHours":4.3229424705087425,"endHours":5.171109241763326,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:58","end":"06:01","startHours":4.9590675489496805,"endHours":6.01927601301791,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:21","startHours":14.500943725563745,"endHours":15.349110496818328,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:33","end":"18:57","startHours":18.541777581836666,"endHours":18.941777581836664,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:45","end":"19:16","startHours":18.741777581836665,"endHours":19.27188181387078,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:30","end":"20:15","startHours":18.491777581836665,"endHours":20.241777581836665,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:48","startHours":23.956443411799995,"endHours":24.804610183054578,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:01","end":"07:37","startHours":6.01927601301791,"endHours":7.6095887091202545,"quality":"auspicious"},{"name":"Roga","start":"07:37","end":"09:12","startHours":7.6095887091202545,"endHours":9.1999014052226,"quality":"inauspicious"},{"name":"Udveg","start":"09:12","end":"10:47","startHours":9.1999014052226,"endHours":10.790214101324942,"quality":"inauspicious"},{"name":"Chala","start":"10:47","end":"12:23","startHours":10.790214101324942,"endHours":12.380526797427287,"quality":"neutral"},{"name":"Labha","start":"12:23","end":"13:58","startHours":12.380526797427287,"endHours":13.970839493529631,"quality":"auspicious"},{"name":"Amṛta","start":"13:58","end":"15:34","startHours":13.970839493529631,"endHours":15.561152189631976,"quality":"auspicious"},{"name":"Kāla","start":"15:34","end":"17:09","startHours":15.561152189631976,"endHours":17.15146488573432,"quality":"inauspicious"},{"name":"Śubha","start":"17:09","end":"18:45","startHours":17.15146488573432,"endHours":18.741777581836665,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:45","end":"20:09","startHours":18.741777581836665,"endHours":20.15146488573432,"quality":"auspicious"},{"name":"Kāla","start":"20:09","end":"21:34","startHours":20.15146488573432,"endHours":21.561152189631976,"quality":"inauspicious"},{"name":"Śubha","start":"21:34","end":"22:58","startHours":21.561152189631976,"endHours":22.97083949352963,"quality":"auspicious"},{"name":"Roga","start":"22:58","end":"00:23","startHours":22.97083949352963,"endHours":24.380526797427287,"quality":"inauspicious"},{"name":"Udveg","start":"00:23","end":"01:47","startHours":24.380526797427287,"endHours":25.790214101324942,"quality":"inauspicious"},{"name":"Chala","start":"01:47","end":"03:12","startHours":25.790214101324942,"endHours":27.199901405222597,"quality":"neutral"},{"name":"Labha","start":"03:12","end":"04:37","startHours":27.199901405222597,"endHours":28.609588709120253,"quality":"auspicious"},{"name":"Amṛta","start":"04:37","end":"06:01","startHours":28.609588709120253,"endHours":30.019276013017908,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:01","end":"07:01","startHours":6.01927601301791,"endHours":7.01927601301791,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:01","end":"08:01","startHours":7.01927601301791,"endHours":8.01927601301791,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:01","end":"09:01","startHours":8.01927601301791,"endHours":9.01927601301791,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:01","end":"10:01","startHours":9.01927601301791,"endHours":10.01927601301791,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:01","end":"11:01","startHours":10.01927601301791,"endHours":11.01927601301791,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:01","end":"12:01","startHours":11.01927601301791,"endHours":12.01927601301791,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:01","end":"13:01","startHours":12.01927601301791,"endHours":13.01927601301791,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:01","end":"14:01","startHours":13.01927601301791,"endHours":14.01927601301791,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:01","end":"15:01","startHours":14.01927601301791,"endHours":15.01927601301791,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:01","end":"16:01","startHours":15.01927601301791,"endHours":16.019276013017908,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:01","end":"17:01","startHours":16.019276013017908,"endHours":17.019276013017908,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:01","end":"18:01","startHours":17.019276013017908,"endHours":18.019276013017908,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:01","end":"19:01","startHours":18.019276013017908,"endHours":19.019276013017908,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:01","end":"20:01","startHours":19.019276013017908,"endHours":20.019276013017908,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:01","end":"21:01","startHours":20.019276013017908,"endHours":21.019276013017908,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:01","end":"22:01","startHours":21.019276013017908,"endHours":22.019276013017908,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:01","end":"23:01","startHours":22.019276013017908,"endHours":23.019276013017908,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:01","end":"00:01","startHours":23.019276013017908,"endHours":24.019276013017908,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:01","end":"01:01","startHours":24.019276013017908,"endHours":25.019276013017908,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:01","end":"02:01","startHours":25.019276013017908,"endHours":26.019276013017908,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:01","end":"03:01","startHours":26.019276013017908,"endHours":27.019276013017908,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:01","end":"04:01","startHours":27.019276013017908,"endHours":28.019276013017908,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:01","end":"05:01","startHours":28.019276013017908,"endHours":29.019276013017908,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:01","end":"06:01","startHours":29.019276013017908,"endHours":30.019276013017908,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":10.371957407594689,"eotMinutes":4.014392154362758,"ayanamsa":-48.3728}},"calendars":{"vikram_samvat":-3114,"saka_samvat":-3249,"bengali_samvat":-3764,"malayalam_era":-3995,"nanakshahi_year":-4640,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla 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 Śukla Pañcamī · Vikram -3114 undefined · Śaka -3249 undefined"},"festivals":[],"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":"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 September 11, 3172 BCE · Ujjain · Vidhyamitra","description":"September 11, 3172 BCE for Ujjain: Śukla Pañcamī, sūryodaya 06:01, sūryāsta 18:45.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3171-09-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3171-09-11","sa":"https://sa.vidhyamitra.com/city/ujjain/-3171-09-11","hi":"https://hi.vidhyamitra.com/city/ujjain/-3171-09-11","x-default":"https://vidhyamitra.com/city/ujjain/-3171-09-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-13T07:09:19.110Z","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":"2026-08-13T07:09:19.110Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-13T07:09:19.110Z","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"}}}