{"id":"vidhyamitra:city-day:ujjain:-3225-04-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3225-04-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3225-04-15","date_display":"April 15, 3226 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":-3225,"month":4,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":543230.770833,"kali_year":-123,"ahargana":-45234.7292,"sun":{"sidereal_longitude":57.3287,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":129.7516,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":72.423,"elapsed_within_tithi_degrees":0.423},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.7516,"elapsed_within_degrees":9.7516},"yoga":{"number":15,"name":"Vajra","sum_longitude":187.0803},"karana":{"half_tithi_index":12,"name":"Gara"},"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":-3225,"month":4,"day":15,"hour":6,"minute":30,"calendar":"julian"},"julian_day":543230.770833,"ahargana":-45234.7292,"kali_year":-123,"ayanamsa_lahiri":-49.1329,"grahas":{"sun":{"sidereal_longitude":57.3287,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":129.7516,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":4.3029},"mars":{"sidereal_longitude":63.2289,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":37.3942,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":189.092,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":true},"venus":{"sidereal_longitude":34.0944,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":true},"saturn":{"sidereal_longitude":284.889,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":56.7536,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":236.7536,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":-3225,"month":4,"day":15,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":543230.770833,"kali_year":-123,"ahargana":-45234.7292,"sun":{"sidereal_longitude":57.3287,"rashi":2,"rashi_name":"Vṛṣabha"},"moon":{"sidereal_longitude":129.7516,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":72.423,"elapsed_within_tithi_degrees":0.423},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.7516,"elapsed_within_degrees":9.7516},"yoga":{"number":15,"name":"Vajra","sum_longitude":187.0803},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.303,"elongation":72.423},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.303,"opposition_distance":107.577}},"eclipse_window_40days":[{"offset_days":9,"type":"lunar","occurs":true,"moon_latitude":-0.846,"opposition_distance":1.261}]},"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":"06:18","sunsetLocal":"18:36","solarNoonLocal":"12:27","dayLengthHours":12.306827055434873,"dayLengthDisplay":"12 Hours 18 Mins 25 Secs","nightLengthDisplay":"11 Hours 41 Mins 35 Secs","moonriseLocal":"10:32","moonsetLocal":"00:02","rahuKala":{"name":"Rāhu Kāla","start":"13:59","end":"15:32","startHours":13.989788782892811,"endHours":15.528142164822171,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:18","end":"07:50","startHours":6.298021873246015,"endHours":7.8363752551753745,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:22","end":"10:55","startHours":9.374728637104734,"endHours":10.913082019034093,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:10","end":"09:35","startHours":9.169614852847486,"endHours":9.579842421361981,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:49","end":"07:08","startHours":6.810806333889135,"endHours":7.138988388700732,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:52","startHours":12.041207832448956,"endHours":12.861662969477946,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:39","end":"05:29","startHours":4.657111599188032,"endHours":5.477566736217024,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:16","end":"06:18","startHours":5.272452951959776,"endHours":6.298021873246015,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:19","startHours":14.502573243535931,"endHours":15.323028380564923,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:24","end":"18:48","startHours":18.404848928680888,"endHours":18.804848928680887,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:36","end":"19:07","startHours":18.604848928680887,"endHours":19.117633389324006,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:21","end":"20:06","startHours":18.354848928680887,"endHours":20.104848928680887,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:52","startHours":24.041207832448954,"endHours":24.861662969477948,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:18","end":"07:50","startHours":6.298021873246015,"endHours":7.8363752551753745,"quality":"auspicious"},{"name":"Roga","start":"07:50","end":"09:22","startHours":7.8363752551753745,"endHours":9.374728637104734,"quality":"inauspicious"},{"name":"Udveg","start":"09:22","end":"10:55","startHours":9.374728637104734,"endHours":10.913082019034093,"quality":"inauspicious"},{"name":"Chala","start":"10:55","end":"12:27","startHours":10.913082019034093,"endHours":12.451435400963451,"quality":"neutral"},{"name":"Labha","start":"12:27","end":"13:59","startHours":12.451435400963451,"endHours":13.989788782892811,"quality":"auspicious"},{"name":"Amṛta","start":"13:59","end":"15:32","startHours":13.989788782892811,"endHours":15.528142164822171,"quality":"auspicious"},{"name":"Kāla","start":"15:32","end":"17:04","startHours":15.528142164822171,"endHours":17.06649554675153,"quality":"inauspicious"},{"name":"Śubha","start":"17:04","end":"18:36","startHours":17.06649554675153,"endHours":18.604848928680887,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:36","end":"20:04","startHours":18.604848928680887,"endHours":20.06649554675153,"quality":"auspicious"},{"name":"Kāla","start":"20:04","end":"21:32","startHours":20.06649554675153,"endHours":21.52814216482217,"quality":"inauspicious"},{"name":"Śubha","start":"21:32","end":"22:59","startHours":21.52814216482217,"endHours":22.98978878289281,"quality":"auspicious"},{"name":"Roga","start":"22:59","end":"00:27","startHours":22.98978878289281,"endHours":24.45143540096345,"quality":"inauspicious"},{"name":"Udveg","start":"00:27","end":"01:55","startHours":24.45143540096345,"endHours":25.913082019034093,"quality":"inauspicious"},{"name":"Chala","start":"01:55","end":"03:22","startHours":25.913082019034093,"endHours":27.37472863710473,"quality":"neutral"},{"name":"Labha","start":"03:22","end":"04:50","startHours":27.37472863710473,"endHours":28.836375255175373,"quality":"auspicious"},{"name":"Amṛta","start":"04:50","end":"06:18","startHours":28.836375255175373,"endHours":30.298021873246014,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:18","end":"07:18","startHours":6.298021873246015,"endHours":7.298021873246015,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:18","end":"08:18","startHours":7.298021873246015,"endHours":8.298021873246014,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:18","end":"09:18","startHours":8.298021873246014,"endHours":9.298021873246014,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:18","end":"10:18","startHours":9.298021873246014,"endHours":10.298021873246014,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:18","end":"11:18","startHours":10.298021873246014,"endHours":11.298021873246014,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:18","end":"12:18","startHours":11.298021873246014,"endHours":12.298021873246014,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:18","end":"13:18","startHours":12.298021873246014,"endHours":13.298021873246014,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:18","end":"14:18","startHours":13.298021873246014,"endHours":14.298021873246014,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:18","end":"15:18","startHours":14.298021873246014,"endHours":15.298021873246014,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:18","end":"16:18","startHours":15.298021873246014,"endHours":16.298021873246014,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:18","end":"17:18","startHours":16.298021873246014,"endHours":17.298021873246014,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:18","end":"18:18","startHours":17.298021873246014,"endHours":18.298021873246014,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:18","end":"19:18","startHours":18.298021873246014,"endHours":19.298021873246014,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:18","end":"20:18","startHours":19.298021873246014,"endHours":20.298021873246014,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:18","end":"21:18","startHours":20.298021873246014,"endHours":21.298021873246014,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:18","end":"22:18","startHours":21.298021873246014,"endHours":22.298021873246014,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:18","end":"23:18","startHours":22.298021873246014,"endHours":23.298021873246014,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:18","end":"00:18","startHours":23.298021873246014,"endHours":24.298021873246014,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:18","end":"01:18","startHours":24.298021873246014,"endHours":25.298021873246014,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:18","end":"02:18","startHours":25.298021873246014,"endHours":26.298021873246014,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:18","end":"03:18","startHours":26.298021873246014,"endHours":27.298021873246014,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:18","end":"04:18","startHours":27.298021873246014,"endHours":28.298021873246014,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:18","end":"05:18","startHours":28.298021873246014,"endHours":29.298021873246014,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:18","end":"06:18","startHours":29.298021873246014,"endHours":30.298021873246014,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"West","rahuVasa":"North-West","anandadiYoga":{"name":"Cara","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":3.2503737046662793,"eotMinutes":-0.240124057807095,"ayanamsa":-49.1329}},"calendars":{"vikram_samvat":-3168,"saka_samvat":-3303,"bengali_samvat":-3818,"malayalam_era":-4049,"nanakshahi_year":-4694,"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 -3168 undefined · Śaka -3303 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 April 15, 3226 BCE · Ujjain · Vidhyamitra","description":"April 15, 3226 BCE for Ujjain: Śukla Saptamī, sūryodaya 06:18, sūryāsta 18:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3225-04-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3225-04-15","sa":"https://sa.vidhyamitra.com/city/ujjain/-3225-04-15","hi":"https://hi.vidhyamitra.com/city/ujjain/-3225-04-15","x-default":"https://vidhyamitra.com/city/ujjain/-3225-04-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-11T20:49:09.303Z","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":"2026-08-11T20:49:09.303Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-11T20:49:09.303Z","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"}}}