{"id":"vidhyamitra:city-day:ujjain:-3145-01-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3145-01-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3145-01-31","date_display":"January 31, 3146 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":-3145,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572376.770833,"kali_year":-44,"ahargana":-16088.7292,"sun":{"sidereal_longitude":345.2748,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":53.5915,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.3167,"elapsed_within_tithi_degrees":8.3167},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":53.5915,"elapsed_within_degrees":0.2581},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":38.8662},"karana":{"half_tithi_index":11,"name":"Taitila"},"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":-3145,"month":1,"day":31,"hour":6,"minute":30,"calendar":"julian"},"julian_day":572376.770833,"ahargana":-16088.7292,"kali_year":-44,"ayanamsa_lahiri":-48.0181,"grahas":{"sun":{"sidereal_longitude":345.2748,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":53.5915,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false,"latitude":4.4151},"mars":{"sidereal_longitude":235.5677,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":354.5851,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":97.3219,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"venus":{"sidereal_longitude":23.6854,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":192.9177,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":312.4583,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":132.4583,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":-3145,"month":1,"day":31,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":572376.770833,"kali_year":-44,"ahargana":-16088.7292,"sun":{"sidereal_longitude":345.2748,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":53.5915,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":68.3167,"elapsed_within_tithi_degrees":8.3167},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":53.5915,"elapsed_within_degrees":0.2581},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":38.8662},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.415,"elongation":68.317},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.415,"opposition_distance":111.683}},"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":"07:14","sunsetLocal":"18:07","solarNoonLocal":"12:40","dayLengthHours":10.889023150134259,"dayLengthDisplay":"10 Hours 53 Mins 20 Secs","nightLengthDisplay":"13 Hours 06 Mins 40 Secs","moonriseLocal":"11:07","moonsetLocal":"23:20","rahuKala":{"name":"Rāhu Kāla","start":"15:24","end":"16:45","startHours":15.395182263230934,"endHours":16.756310156997714,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:57","end":"11:19","startHours":9.950670688163804,"endHours":11.311798581930587,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:40","end":"14:02","startHours":12.67292647569737,"endHours":14.034054369464151,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:46","end":"10:08","startHours":9.7691869689949,"endHours":10.13215440733271,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:41","end":"07:58","startHours":7.682124198552501,"endHours":7.972498149222748,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:19","end":"13:02","startHours":12.30995903735956,"endHours":13.035893914035176,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:30","startHours":5.7765451472790055,"endHours":6.5024800239546225,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:14","startHours":6.320996304785718,"endHours":7.22841490063024,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:29","end":"15:13","startHours":14.487763667386412,"endHours":15.21369854406203,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:55","end":"18:19","startHours":17.9174380507645,"endHours":18.317438050764498,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:07","end":"18:34","startHours":18.1174380507645,"endHours":18.571147348686758,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:52","end":"19:37","startHours":17.8674380507645,"endHours":19.6174380507645,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:19","end":"01:02","startHours":24.309959037359558,"endHours":25.035893914035174,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:14","end":"08:35","startHours":7.22841490063024,"endHours":8.589542794397023,"quality":"inauspicious"},{"name":"Udveg","start":"08:35","end":"09:57","startHours":8.589542794397023,"endHours":9.950670688163804,"quality":"inauspicious"},{"name":"Chala","start":"09:57","end":"11:19","startHours":9.950670688163804,"endHours":11.311798581930587,"quality":"neutral"},{"name":"Labha","start":"11:19","end":"12:40","startHours":11.311798581930587,"endHours":12.67292647569737,"quality":"auspicious"},{"name":"Amṛta","start":"12:40","end":"14:02","startHours":12.67292647569737,"endHours":14.034054369464151,"quality":"auspicious"},{"name":"Kāla","start":"14:02","end":"15:24","startHours":14.034054369464151,"endHours":15.395182263230934,"quality":"inauspicious"},{"name":"Śubha","start":"15:24","end":"16:45","startHours":15.395182263230934,"endHours":16.756310156997714,"quality":"auspicious"},{"name":"Roga","start":"16:45","end":"18:07","startHours":16.756310156997714,"endHours":18.1174380507645,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"18:07","end":"19:45","startHours":18.1174380507645,"endHours":19.756310156997717,"quality":"inauspicious"},{"name":"Śubha","start":"19:45","end":"21:24","startHours":19.756310156997717,"endHours":21.395182263230932,"quality":"auspicious"},{"name":"Roga","start":"21:24","end":"23:02","startHours":21.395182263230932,"endHours":23.03405436946415,"quality":"inauspicious"},{"name":"Udveg","start":"23:02","end":"00:40","startHours":23.03405436946415,"endHours":24.67292647569737,"quality":"inauspicious"},{"name":"Chala","start":"00:40","end":"02:19","startHours":24.67292647569737,"endHours":26.31179858193059,"quality":"neutral"},{"name":"Labha","start":"02:19","end":"03:57","startHours":26.31179858193059,"endHours":27.950670688163804,"quality":"auspicious"},{"name":"Amṛta","start":"03:57","end":"05:35","startHours":27.950670688163804,"endHours":29.589542794397023,"quality":"auspicious"},{"name":"Kāla","start":"05:35","end":"07:14","startHours":29.589542794397023,"endHours":31.22841490063024,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:14","end":"08:14","startHours":7.22841490063024,"endHours":8.22841490063024,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:14","end":"09:14","startHours":8.22841490063024,"endHours":9.22841490063024,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:14","end":"10:14","startHours":9.22841490063024,"endHours":10.22841490063024,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:14","end":"11:14","startHours":10.22841490063024,"endHours":11.22841490063024,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:14","end":"12:14","startHours":11.22841490063024,"endHours":12.22841490063024,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:14","end":"13:14","startHours":12.22841490063024,"endHours":13.22841490063024,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:14","end":"14:14","startHours":13.22841490063024,"endHours":14.22841490063024,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:14","end":"15:14","startHours":14.22841490063024,"endHours":15.22841490063024,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:14","end":"16:14","startHours":15.22841490063024,"endHours":16.22841490063024,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:14","end":"17:14","startHours":16.22841490063024,"endHours":17.22841490063024,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:14","end":"18:14","startHours":17.22841490063024,"endHours":18.22841490063024,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:14","end":"19:14","startHours":18.22841490063024,"endHours":19.22841490063024,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:14","end":"20:14","startHours":19.22841490063024,"endHours":20.22841490063024,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:14","end":"21:14","startHours":20.22841490063024,"endHours":21.22841490063024,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:14","end":"22:14","startHours":21.22841490063024,"endHours":22.22841490063024,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:14","end":"23:14","startHours":22.22841490063024,"endHours":23.22841490063024,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:14","end":"00:14","startHours":23.22841490063024,"endHours":24.22841490063024,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:14","end":"01:14","startHours":24.22841490063024,"endHours":25.22841490063024,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:14","end":"02:14","startHours":25.22841490063024,"endHours":26.22841490063024,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:14","end":"03:14","startHours":26.22841490063024,"endHours":27.22841490063024,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:14","end":"04:14","startHours":27.22841490063024,"endHours":28.22841490063024,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:14","end":"05:14","startHours":28.22841490063024,"endHours":29.22841490063024,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:14","end":"06:14","startHours":29.22841490063024,"endHours":30.22841490063024,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:14","end":"07:14","startHours":30.22841490063024,"endHours":31.22841490063024,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.705808673337128,"eotMinutes":-13.52958854184206,"ayanamsa":-48.0181}},"calendars":{"vikram_samvat":-3088,"saka_samvat":-3223,"bengali_samvat":-3738,"malayalam_era":-3969,"nanakshahi_year":-4614,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Caitra","lunar_month_amanta":"Caitra","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Ṣaṣṭhī · Vikram -3088 undefined · Śaka -3223 undefined"},"festivals":[{"id":"yamuna-jayanti","name":"Yamunā Jayantī","name_sanskrit":"यमुना जयन्ती","tradition":"Vaishnava","associated_deity":"Yamunā Devī (Krishna's playmate)","significance":"Manifestation of Yamunā Devī; Vraja-bhakti-pravāhinī.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Caitra"},"precedence":4}],"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 Yamunā Jayantī 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 January 31, 3146 BCE · Ujjain · Vidhyamitra","description":"January 31, 3146 BCE for Ujjain: Śukla Ṣaṣṭhī, sūryodaya 07:14, sūryāsta 18:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3145-01-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3145-01-31","sa":"https://sa.vidhyamitra.com/city/ujjain/-3145-01-31","hi":"https://hi.vidhyamitra.com/city/ujjain/-3145-01-31","x-default":"https://vidhyamitra.com/city/ujjain/-3145-01-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-10T11:20:36.291Z","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":"2026-09-10T11:20:36.291Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-10T11:20:36.291Z","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"}}}