{"id":"vidhyamitra:city-day:ujjain:-3165-04-12:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3165-04-12","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3165-04-12","date_display":"April 12, 3166 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":-3165,"month":4,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565142.770833,"kali_year":-63,"ahargana":-23322.7292,"sun":{"sidereal_longitude":53.9829,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":127.8412,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.8583,"elapsed_within_tithi_degrees":1.8583},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":127.8412,"elapsed_within_degrees":7.8412},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":181.8241},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":-3165,"month":4,"day":12,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565142.770833,"ahargana":-23322.7292,"kali_year":-63,"ayanamsa_lahiri":-48.2948,"grahas":{"sun":{"sidereal_longitude":53.9829,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":127.8412,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":2.1046},"mars":{"sidereal_longitude":39.0725,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":32.3648,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":213.3895,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":62.0134,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":297.4302,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":335.7504,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":155.7504,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"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":-3165,"month":4,"day":12,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565142.770833,"kali_year":-63,"ahargana":-23322.7292,"sun":{"sidereal_longitude":53.9829,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":127.8412,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":73.8583,"elapsed_within_tithi_degrees":1.8583},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":127.8412,"elapsed_within_degrees":7.8412},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":181.8241},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.105,"elongation":73.858},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.105,"opposition_distance":106.142}},"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":"06:20","sunsetLocal":"18:35","solarNoonLocal":"12:28","dayLengthHours":12.24997862719561,"dayLengthDisplay":"12 Hours 15 Mins 00 Secs","nightLengthDisplay":"11 Hours 45 Mins 00 Secs","moonriseLocal":"10:39","moonsetLocal":"00:08","rahuKala":{"name":"Rāhu Kāla","start":"09:24","end":"10:56","startHours":9.402330362526785,"endHours":10.933577690926235,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:00","end":"15:32","startHours":13.99607234772514,"endHours":15.52731967612459,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:20","end":"07:52","startHours":6.339835705727882,"endHours":7.8710830341273335,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:12","end":"09:36","startHours":9.198164052073524,"endHours":9.606496672980045,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:51","end":"07:11","startHours":6.850251481861033,"endHours":7.17691757858625,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:52","startHours":12.056492398419167,"endHours":12.873157640232208,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:42","end":"05:31","startHours":4.706505222101801,"endHours":5.523170463914841,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:19","end":"06:20","startHours":5.319004153461581,"endHours":6.339835705727882,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:19","startHours":14.50648812385829,"endHours":15.323153365671331,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:23","end":"18:47","startHours":18.389814332923493,"endHours":18.78981433292349,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:35","end":"19:06","startHours":18.589814332923492,"endHours":19.100230109056643,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:20","end":"20:05","startHours":18.339814332923492,"endHours":20.089814332923492,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:52","startHours":24.056492398419167,"endHours":24.873157640232208,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:20","end":"07:52","startHours":6.339835705727882,"endHours":7.8710830341273335,"quality":"inauspicious"},{"name":"Śubha","start":"07:52","end":"09:24","startHours":7.8710830341273335,"endHours":9.402330362526785,"quality":"auspicious"},{"name":"Roga","start":"09:24","end":"10:56","startHours":9.402330362526785,"endHours":10.933577690926235,"quality":"inauspicious"},{"name":"Udveg","start":"10:56","end":"12:28","startHours":10.933577690926235,"endHours":12.464825019325687,"quality":"inauspicious"},{"name":"Chala","start":"12:28","end":"14:00","startHours":12.464825019325687,"endHours":13.99607234772514,"quality":"neutral"},{"name":"Labha","start":"14:00","end":"15:32","startHours":13.99607234772514,"endHours":15.52731967612459,"quality":"auspicious"},{"name":"Amṛta","start":"15:32","end":"17:04","startHours":15.52731967612459,"endHours":17.05856700452404,"quality":"auspicious"},{"name":"Kāla","start":"17:04","end":"18:35","startHours":17.05856700452404,"endHours":18.589814332923492,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:35","end":"20:04","startHours":18.589814332923492,"endHours":20.05856700452404,"quality":"auspicious"},{"name":"Amṛta","start":"20:04","end":"21:32","startHours":20.05856700452404,"endHours":21.52731967612459,"quality":"auspicious"},{"name":"Kāla","start":"21:32","end":"23:00","startHours":21.52731967612459,"endHours":22.99607234772514,"quality":"inauspicious"},{"name":"Śubha","start":"23:00","end":"00:28","startHours":22.99607234772514,"endHours":24.464825019325687,"quality":"auspicious"},{"name":"Roga","start":"00:28","end":"01:56","startHours":24.464825019325687,"endHours":25.933577690926235,"quality":"inauspicious"},{"name":"Udveg","start":"01:56","end":"03:24","startHours":25.933577690926235,"endHours":27.402330362526783,"quality":"inauspicious"},{"name":"Chala","start":"03:24","end":"04:52","startHours":27.402330362526783,"endHours":28.871083034127334,"quality":"neutral"},{"name":"Labha","start":"04:52","end":"06:20","startHours":28.871083034127334,"endHours":30.339835705727882,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:20","end":"07:20","startHours":6.339835705727882,"endHours":7.339835705727882,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:20","end":"08:20","startHours":7.339835705727882,"endHours":8.339835705727882,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:20","end":"09:20","startHours":8.339835705727882,"endHours":9.339835705727882,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:20","end":"10:20","startHours":9.339835705727882,"endHours":10.339835705727882,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:20","end":"11:20","startHours":10.339835705727882,"endHours":11.339835705727882,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:20","end":"12:20","startHours":11.339835705727882,"endHours":12.339835705727882,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:20","end":"13:20","startHours":12.339835705727882,"endHours":13.339835705727882,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:20","end":"14:20","startHours":13.339835705727882,"endHours":14.339835705727882,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:20","end":"15:20","startHours":14.339835705727882,"endHours":15.339835705727882,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:20","end":"16:20","startHours":15.339835705727882,"endHours":16.339835705727882,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:20","end":"17:20","startHours":16.339835705727882,"endHours":17.339835705727882,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:20","end":"18:20","startHours":17.339835705727882,"endHours":18.339835705727882,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:20","end":"19:20","startHours":18.339835705727882,"endHours":19.339835705727882,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:20","end":"20:20","startHours":19.339835705727882,"endHours":20.339835705727882,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:20","end":"21:20","startHours":20.339835705727882,"endHours":21.339835705727882,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:20","end":"22:20","startHours":21.339835705727882,"endHours":22.339835705727882,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:20","end":"23:20","startHours":22.339835705727882,"endHours":23.339835705727882,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:20","end":"00:20","startHours":23.339835705727882,"endHours":24.339835705727882,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:20","end":"01:20","startHours":24.339835705727882,"endHours":25.339835705727882,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:20","end":"02:20","startHours":25.339835705727882,"endHours":26.339835705727882,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:20","end":"03:20","startHours":26.339835705727882,"endHours":27.339835705727882,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:20","end":"04:20","startHours":27.339835705727882,"endHours":28.339835705727882,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:20","end":"05:20","startHours":28.339835705727882,"endHours":29.339835705727882,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:20","end":"06:20","startHours":29.339835705727882,"endHours":30.339835705727882,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":2.2592130525189074,"eotMinutes":-1.043501159541278,"ayanamsa":-48.2948}},"calendars":{"vikram_samvat":-3108,"saka_samvat":-3243,"bengali_samvat":-3758,"malayalam_era":-3989,"nanakshahi_year":-4634,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Jyeṣṭha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛṣabha (Vaikāsi)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Śukla Saptamī · Vikram -3108 undefined · Śaka -3243 undefined"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 April 12, 3166 BCE · Ujjain · Vidhyamitra","description":"April 12, 3166 BCE for Ujjain: Śukla Saptamī, sūryodaya 06:20, sūryāsta 18:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3165-04-12","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3165-04-12","sa":"https://sa.vidhyamitra.com/city/ujjain/-3165-04-12","hi":"https://hi.vidhyamitra.com/city/ujjain/-3165-04-12","x-default":"https://vidhyamitra.com/city/ujjain/-3165-04-12"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-12T01:21:04.039Z","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":"2026-08-12T01:21:04.039Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-12T01:21:04.039Z","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"}}}