{"id":"vidhyamitra:city-day:ujjain:-3123-09-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3123-09-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3123-09-12","date_display":"September 12, 3124 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":-3123,"month":9,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":580636.770833,"kali_year":-21,"ahargana":-7828.7292,"sun":{"sidereal_longitude":202.0434,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":170.3147,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.2713,"elapsed_within_tithi_degrees":4.2713},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":170.3147,"elapsed_within_degrees":10.3147},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":12.3581},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":-3123,"month":9,"day":12,"hour":6,"minute":30,"calendar":"julian"},"julian_day":580636.770833,"ahargana":-7828.7292,"kali_year":-21,"ayanamsa_lahiri":-47.7022,"grahas":{"sun":{"sidereal_longitude":202.0434,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":170.3147,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false,"latitude":-4.0605},"mars":{"sidereal_longitude":204.958,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":216.6933,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":84.5021,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":true},"venus":{"sidereal_longitude":156.3796,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":110.608,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":234.8037,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":54.8037,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":-3123,"month":9,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":580636.770833,"kali_year":-21,"ahargana":-7828.7292,"sun":{"sidereal_longitude":202.0434,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":170.3147,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":328.2713,"elapsed_within_tithi_degrees":4.2713},"nakshatra":{"number":13,"name":"Hasta","pada":4,"moon_longitude":170.3147,"elapsed_within_degrees":10.3147},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":12.3581},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.06,"elongation":31.729},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.06,"opposition_distance":148.271}},"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":"06:02","sunsetLocal":"18:43","solarNoonLocal":"12:22","dayLengthHours":12.695413142189572,"dayLengthDisplay":"12 Hours 41 Mins 43 Secs","nightLengthDisplay":"11 Hours 18 Mins 17 Secs","moonriseLocal":"03:38","moonsetLocal":"16:53","rahuKala":{"name":"Rāhu Kāla","start":"15:33","end":"17:08","startHours":15.5482280264143,"endHours":17.135154669187997,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:12","end":"10:47","startHours":9.200521455319514,"endHours":10.787448098093211,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:22","end":"13:58","startHours":12.374374740866909,"endHours":13.961301383640604,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:59","end":"09:25","startHours":8.988931236283022,"endHours":9.412111674356007,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:33","end":"06:54","startHours":6.5556437173633535,"endHours":6.894188067821742,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:48","startHours":11.951194302793922,"endHours":12.797555178939895,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:20","end":"05:11","startHours":4.3339464174801785,"endHours":5.18030729362615,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:58","end":"06:02","startHours":4.968717074589657,"endHours":6.026668169772122,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:20","startHours":14.490276931231836,"endHours":15.336637807377807,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:31","end":"18:55","startHours":18.522081311961696,"endHours":18.922081311961694,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:43","end":"19:15","startHours":18.722081311961695,"endHours":19.25105685955293,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:28","end":"20:13","startHours":18.472081311961695,"endHours":20.222081311961695,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:48","startHours":23.951194302793922,"endHours":24.797555178939895,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:02","end":"07:37","startHours":6.026668169772122,"endHours":7.613594812545818,"quality":"inauspicious"},{"name":"Udveg","start":"07:37","end":"09:12","startHours":7.613594812545818,"endHours":9.200521455319514,"quality":"inauspicious"},{"name":"Chala","start":"09:12","end":"10:47","startHours":9.200521455319514,"endHours":10.787448098093211,"quality":"neutral"},{"name":"Labha","start":"10:47","end":"12:22","startHours":10.787448098093211,"endHours":12.374374740866909,"quality":"auspicious"},{"name":"Amṛta","start":"12:22","end":"13:58","startHours":12.374374740866909,"endHours":13.961301383640604,"quality":"auspicious"},{"name":"Kāla","start":"13:58","end":"15:33","startHours":13.961301383640604,"endHours":15.5482280264143,"quality":"inauspicious"},{"name":"Śubha","start":"15:33","end":"17:08","startHours":15.5482280264143,"endHours":17.135154669187997,"quality":"auspicious"},{"name":"Roga","start":"17:08","end":"18:43","startHours":17.135154669187997,"endHours":18.722081311961695,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:43","end":"20:08","startHours":18.722081311961695,"endHours":20.135154669187997,"quality":"inauspicious"},{"name":"Śubha","start":"20:08","end":"21:33","startHours":20.135154669187997,"endHours":21.5482280264143,"quality":"auspicious"},{"name":"Roga","start":"21:33","end":"22:58","startHours":21.5482280264143,"endHours":22.961301383640606,"quality":"inauspicious"},{"name":"Udveg","start":"22:58","end":"00:22","startHours":22.961301383640606,"endHours":24.37437474086691,"quality":"inauspicious"},{"name":"Chala","start":"00:22","end":"01:47","startHours":24.37437474086691,"endHours":25.78744809809321,"quality":"neutral"},{"name":"Labha","start":"01:47","end":"03:12","startHours":25.78744809809321,"endHours":27.200521455319517,"quality":"auspicious"},{"name":"Amṛta","start":"03:12","end":"04:37","startHours":27.200521455319517,"endHours":28.61359481254582,"quality":"auspicious"},{"name":"Kāla","start":"04:37","end":"06:02","startHours":28.61359481254582,"endHours":30.026668169772122,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:02","end":"07:02","startHours":6.026668169772122,"endHours":7.026668169772122,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:02","end":"08:02","startHours":7.026668169772122,"endHours":8.026668169772122,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:02","end":"09:02","startHours":8.026668169772122,"endHours":9.026668169772122,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:02","end":"10:02","startHours":9.026668169772122,"endHours":10.026668169772122,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:02","end":"11:02","startHours":10.026668169772122,"endHours":11.026668169772122,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:02","end":"12:02","startHours":11.026668169772122,"endHours":12.026668169772122,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:02","end":"13:02","startHours":12.026668169772122,"endHours":13.026668169772122,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:02","end":"14:02","startHours":13.026668169772122,"endHours":14.026668169772122,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:02","end":"15:02","startHours":14.026668169772122,"endHours":15.026668169772122,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:02","end":"16:02","startHours":15.026668169772122,"endHours":16.026668169772122,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:02","end":"17:02","startHours":16.026668169772122,"endHours":17.026668169772122,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:02","end":"18:02","startHours":17.026668169772122,"endHours":18.026668169772122,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:02","end":"19:02","startHours":18.026668169772122,"endHours":19.026668169772122,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:02","end":"20:02","startHours":19.026668169772122,"endHours":20.026668169772122,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:02","end":"21:02","startHours":20.026668169772122,"endHours":21.026668169772122,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:02","end":"22:02","startHours":21.026668169772122,"endHours":22.026668169772122,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:02","end":"23:02","startHours":22.026668169772122,"endHours":23.026668169772122,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:02","end":"00:02","startHours":23.026668169772122,"endHours":24.026668169772122,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:02","end":"01:02","startHours":24.026668169772122,"endHours":25.026668169772122,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:02","end":"02:02","startHours":25.026668169772122,"endHours":26.026668169772122,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:02","end":"03:02","startHours":26.026668169772122,"endHours":27.026668169772122,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:02","end":"04:02","startHours":27.026668169772122,"endHours":28.026668169772122,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:02","end":"05:02","startHours":28.026668169772122,"endHours":29.026668169772122,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:02","end":"06:02","startHours":29.026668169772122,"endHours":30.026668169772122,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Amṛta","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":9.917067595625115,"eotMinutes":4.383515547985428,"ayanamsa":-47.7022}},"calendars":{"vikram_samvat":-3066,"saka_samvat":-3201,"bengali_samvat":-3716,"malayalam_era":-3947,"nanakshahi_year":-4592,"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 Trayodaśī · Vikram -3066 undefined · Śaka -3201 undefined"},"festivals":[{"id":"dhanteras","name":"Dhanteras (Dhanvantari Jayantī)","name_sanskrit":"धनतेरस / धन्वन्तरि जयन्ती","tradition":"Pan-Hindu","associated_deity":"Dhanvantari (Āyurveda-deva, avatāra of Viṣṇu)","significance":"Birth of Dhanvantari from samudra-mathana with amṛta-kalaśa. Day 1 of Diwali.","vrata":true,"detection":{"tithi_number":28,"tithi_paksha":"Kṛṣṇa","lunar_month":"Kārtika"},"precedence":2,"sources":["Bhāgavata 8.8.32-34"]},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Dedicated festival walk for Dhanteras (Dhanvantari Jayantī) · Pradoṣa Vrata is not live yet; Maṅgalavāra (Tuesday) — 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 12, 3124 BCE · Ujjain · Vidhyamitra","description":"September 12, 3124 BCE for Ujjain: Kṛṣṇa Trayodaśī, sūryodaya 06:02, sūryāsta 18:43.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3123-09-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3123-09-12","sa":"https://sa.vidhyamitra.com/city/ujjain/-3123-09-12","hi":"https://hi.vidhyamitra.com/city/ujjain/-3123-09-12","x-default":"https://vidhyamitra.com/city/ujjain/-3123-09-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T19:02:11.118Z","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":"2026-08-10T19:02:11.118Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T19:02:11.118Z","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"}}}