{"id":"vidhyamitra:city-day:ujjain:-3164-12-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3164-12-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3164-12-30","date_display":"December 30, 3165 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":-3164,"month":12,"day":30,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565770.770833,"kali_year":-62,"ahargana":-22694.7292,"sun":{"sidereal_longitude":314.0024,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":121.8072,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":167.8048,"elapsed_within_tithi_degrees":11.8048},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":121.8072,"elapsed_within_degrees":1.8072},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":75.8096},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"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":-3164,"month":12,"day":30,"hour":6,"minute":30,"calendar":"julian"},"julian_day":565770.770833,"ahargana":-22694.7292,"kali_year":-62,"ayanamsa_lahiri":-48.2708,"grahas":{"sun":{"sidereal_longitude":314.0024,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":121.8072,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false,"latitude":0.0525},"mars":{"sidereal_longitude":337.4279,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":322.1331,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":276.2809,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":332.8724,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":311.9491,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":302.476,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":122.476,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":-3164,"month":12,"day":30,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":565770.770833,"kali_year":-62,"ahargana":-22694.7292,"sun":{"sidereal_longitude":314.0024,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":121.8072,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":167.8048,"elapsed_within_tithi_degrees":11.8048},"nakshatra":{"number":10,"name":"Maghā","pada":1,"moon_longitude":121.8072,"elapsed_within_degrees":1.8072},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":75.8096},"karana":{"half_tithi_index":27,"name":"Vaṇija"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.052,"elongation":167.805},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.052,"opposition_distance":12.195}},"eclipse_window_40days":[{"offset_days":1,"type":"lunar","occurs":true,"moon_latitude":-0.952,"opposition_distance":0.355}]},"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":"07:08","sunsetLocal":"17:51","solarNoonLocal":"12:30","dayLengthHours":10.712416120196192,"dayLengthDisplay":"10 Hours 42 Mins 45 Secs","nightLengthDisplay":"13 Hours 17 Mins 15 Secs","moonriseLocal":"16:57","moonsetLocal":"06:24","rahuKala":{"name":"Rāhu Kāla","start":"13:50","end":"15:10","startHours":13.833206923362395,"endHours":15.172258938386918,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:08","end":"08:29","startHours":7.137946848239775,"endHours":8.4769988632643,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:49","end":"11:09","startHours":9.816050878288824,"endHours":11.155102893313346,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"10:00","startHours":9.637510609618886,"endHours":9.99459114695876,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.584297519914616,"endHours":7.869961949786514,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:51","startHours":12.137074370997997,"endHours":12.851235445677744,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:25","startHours":5.709624698880282,"endHours":6.423785773560029,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:08","startHours":6.245245504890092,"endHours":7.137946848239775,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:00","startHours":14.279557595037236,"endHours":14.993718669716982,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:39","end":"18:03","startHours":17.650362968435967,"endHours":18.050362968435966,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:51","end":"18:18","startHours":17.850362968435967,"endHours":18.29671364011081,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:36","end":"19:21","startHours":17.600362968435967,"endHours":19.350362968435967,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:51","startHours":24.137074370997997,"endHours":24.85123544567774,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:08","end":"08:29","startHours":7.137946848239775,"endHours":8.4769988632643,"quality":"auspicious"},{"name":"Roga","start":"08:29","end":"09:49","startHours":8.4769988632643,"endHours":9.816050878288824,"quality":"inauspicious"},{"name":"Udveg","start":"09:49","end":"11:09","startHours":9.816050878288824,"endHours":11.155102893313346,"quality":"inauspicious"},{"name":"Chala","start":"11:09","end":"12:30","startHours":11.155102893313346,"endHours":12.49415490833787,"quality":"neutral"},{"name":"Labha","start":"12:30","end":"13:50","startHours":12.49415490833787,"endHours":13.833206923362395,"quality":"auspicious"},{"name":"Amṛta","start":"13:50","end":"15:10","startHours":13.833206923362395,"endHours":15.172258938386918,"quality":"auspicious"},{"name":"Kāla","start":"15:10","end":"16:31","startHours":15.172258938386918,"endHours":16.511310953411442,"quality":"inauspicious"},{"name":"Śubha","start":"16:31","end":"17:51","startHours":16.511310953411442,"endHours":17.850362968435967,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:51","end":"19:31","startHours":17.850362968435967,"endHours":19.511310953411442,"quality":"auspicious"},{"name":"Kāla","start":"19:31","end":"21:10","startHours":19.511310953411442,"endHours":21.172258938386918,"quality":"inauspicious"},{"name":"Śubha","start":"21:10","end":"22:50","startHours":21.172258938386918,"endHours":22.833206923362397,"quality":"auspicious"},{"name":"Roga","start":"22:50","end":"00:30","startHours":22.833206923362397,"endHours":24.49415490833787,"quality":"inauspicious"},{"name":"Udveg","start":"00:30","end":"02:09","startHours":24.49415490833787,"endHours":26.155102893313348,"quality":"inauspicious"},{"name":"Chala","start":"02:09","end":"03:49","startHours":26.155102893313348,"endHours":27.816050878288824,"quality":"neutral"},{"name":"Labha","start":"03:49","end":"05:29","startHours":27.816050878288824,"endHours":29.4769988632643,"quality":"auspicious"},{"name":"Amṛta","start":"05:29","end":"07:08","startHours":29.4769988632643,"endHours":31.137946848239775,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.137946848239775,"endHours":8.137946848239775,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.137946848239775,"endHours":9.137946848239775,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.137946848239775,"endHours":10.137946848239775,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.137946848239775,"endHours":11.137946848239775,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.137946848239775,"endHours":12.137946848239775,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.137946848239775,"endHours":13.137946848239775,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.137946848239775,"endHours":14.137946848239775,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.137946848239775,"endHours":15.137946848239775,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.137946848239775,"endHours":16.137946848239775,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.137946848239775,"endHours":17.137946848239775,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.137946848239775,"endHours":18.137946848239775,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.137946848239775,"endHours":19.137946848239775,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.137946848239775,"endHours":20.137946848239775,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.137946848239775,"endHours":21.137946848239775,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.137946848239775,"endHours":22.137946848239775,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.137946848239775,"endHours":23.137946848239775,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.137946848239775,"endHours":24.137946848239775,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.137946848239775,"endHours":25.137946848239775,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.137946848239775,"endHours":26.137946848239775,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.137946848239775,"endHours":27.137946848239775,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.137946848239775,"endHours":28.137946848239775,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.137946848239775,"endHours":29.137946848239775,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.137946848239775,"endHours":30.137946848239775,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.137946848239775,"endHours":31.137946848239775,"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":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śiśira (Winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.3676271621096,"eotMinutes":-2.803294500272213,"ayanamsa":-48.2708}},"calendars":{"vikram_samvat":-3107,"saka_samvat":-3242,"bengali_samvat":-3757,"malayalam_era":-3988,"nanakshahi_year":-4633,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Phālguna","lunar_month_amanta":"Phālguna","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kumbha (Māsi)","ritu":"Śiśira (Winter)","display_summary":"Phālguna Śukla Caturdaśī · Vikram -3107 undefined · Śaka -3242 undefined"},"festivals":[{"id":"holika-dahana","name":"Holikā Dahana","name_sanskrit":"होलिका दहन","tradition":"Vaishnava","associated_deity":"Bhagavān Narasiṁha (Prahlāda-rakṣaka)","significance":"Burning of Holikā; Prahlāda saved by Hari. Eve of Holi.","vrata":true,"detection":{"tithi_number":14,"tithi_paksha":"Śukla","lunar_month":"Phālguna"},"precedence":2,"sources":["Bhāgavata 7.5"]}],"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":"Dedicated festival walk for Holikā Dahana is not live yet; 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 December 30, 3165 BCE · Ujjain · Vidhyamitra","description":"December 30, 3165 BCE for Ujjain: Śukla Caturdaśī, sūryodaya 07:08, sūryāsta 17:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3164-12-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3164-12-30","sa":"https://sa.vidhyamitra.com/city/ujjain/-3164-12-30","hi":"https://hi.vidhyamitra.com/city/ujjain/-3164-12-30","x-default":"https://vidhyamitra.com/city/ujjain/-3164-12-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T01:13:36.465Z","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":"2026-09-08T01:13:36.465Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T01:13:36.465Z","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"}}}