{"id":"vidhyamitra:city-day:ujjain:-3181-12-19:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/-3181-12-19","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"-3181-12-19","date_display":"December 19, 3182 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":-3181,"month":12,"day":19,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559549.770833,"kali_year":-79,"ahargana":-28915.7292,"sun":{"sidereal_longitude":302.2641,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":232.5902,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":290.3261,"elapsed_within_tithi_degrees":2.3261},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2,"moon_longitude":232.5902,"elapsed_within_degrees":5.9235},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":174.8543},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"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":-3181,"month":12,"day":19,"hour":6,"minute":30,"calendar":"julian"},"julian_day":559549.770833,"ahargana":-28915.7292,"kali_year":-79,"ayanamsa_lahiri":-48.5087,"grahas":{"sun":{"sidereal_longitude":302.2641,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":232.5902,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false,"latitude":-2.8609},"mars":{"sidereal_longitude":318.6507,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":300.4983,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":120.3056,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":324.3857,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":true},"saturn":{"sidereal_longitude":120.5259,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":272.0945,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":92.0945,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","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":-3181,"month":12,"day":19,"hour":6,"minute":30,"second":0,"calendar":"julian"},"julian_day":559549.770833,"kali_year":-79,"ahargana":-28915.7292,"sun":{"sidereal_longitude":302.2641,"rashi":11,"rashi_name":"Kumbha"},"moon":{"sidereal_longitude":232.5902,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":25,"name":"Daśamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Daśamī","elongation_degrees":290.3261,"elapsed_within_tithi_degrees":2.3261},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2,"moon_longitude":232.5902,"elapsed_within_degrees":5.9235},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":174.8543},"karana":{"half_tithi_index":48,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.861,"elongation":69.674},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.861,"opposition_distance":110.326}},"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":"07:01","sunsetLocal":"17:48","solarNoonLocal":"12:25","dayLengthHours":10.774195336150761,"dayLengthDisplay":"10 Hours 46 Mins 27 Secs","nightLengthDisplay":"13 Hours 13 Mins 33 Secs","moonriseLocal":"01:46","moonsetLocal":"13:46","rahuKala":{"name":"Rāhu Kāla","start":"09:43","end":"11:04","startHours":9.7152106598935,"endHours":11.061985076912345,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:45","end":"15:06","startHours":13.755533910950035,"endHours":15.102308327968881,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:01","end":"08:22","startHours":7.0216618258558094,"endHours":8.368436242874655,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:32","end":"09:54","startHours":9.53564073762432,"endHours":9.89478058216268,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:28","end":"07:45","startHours":7.470586631528758,"endHours":7.757898507159445,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:46","startHours":12.049619649392831,"endHours":12.767899338469547,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:35","end":"06:18","startHours":5.585102447702375,"endHours":6.303382136779092,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:07","end":"07:01","startHours":6.123812214509913,"endHours":7.0216618258558094,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:12","end":"14:55","startHours":14.204458716622984,"endHours":14.922738405699702,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:36","end":"18:00","startHours":17.59585716200657,"endHours":17.99585716200657,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:48","end":"18:15","startHours":17.79585716200657,"endHours":18.24478196767952,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:33","end":"19:18","startHours":17.54585716200657,"endHours":19.29585716200657,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:46","startHours":24.04961964939283,"endHours":24.767899338469547,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:01","end":"08:22","startHours":7.0216618258558094,"endHours":8.368436242874655,"quality":"inauspicious"},{"name":"Śubha","start":"08:22","end":"09:43","startHours":8.368436242874655,"endHours":9.7152106598935,"quality":"auspicious"},{"name":"Roga","start":"09:43","end":"11:04","startHours":9.7152106598935,"endHours":11.061985076912345,"quality":"inauspicious"},{"name":"Udveg","start":"11:04","end":"12:25","startHours":11.061985076912345,"endHours":12.40875949393119,"quality":"inauspicious"},{"name":"Chala","start":"12:25","end":"13:45","startHours":12.40875949393119,"endHours":13.755533910950035,"quality":"neutral"},{"name":"Labha","start":"13:45","end":"15:06","startHours":13.755533910950035,"endHours":15.102308327968881,"quality":"auspicious"},{"name":"Amṛta","start":"15:06","end":"16:27","startHours":15.102308327968881,"endHours":16.449082744987724,"quality":"auspicious"},{"name":"Kāla","start":"16:27","end":"17:48","startHours":16.449082744987724,"endHours":17.79585716200657,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:48","end":"19:27","startHours":17.79585716200657,"endHours":19.449082744987724,"quality":"auspicious"},{"name":"Amṛta","start":"19:27","end":"21:06","startHours":19.449082744987724,"endHours":21.102308327968878,"quality":"auspicious"},{"name":"Kāla","start":"21:06","end":"22:45","startHours":21.102308327968878,"endHours":22.755533910950035,"quality":"inauspicious"},{"name":"Śubha","start":"22:45","end":"00:25","startHours":22.755533910950035,"endHours":24.40875949393119,"quality":"auspicious"},{"name":"Roga","start":"00:25","end":"02:04","startHours":24.40875949393119,"endHours":26.061985076912343,"quality":"inauspicious"},{"name":"Udveg","start":"02:04","end":"03:43","startHours":26.061985076912343,"endHours":27.7152106598935,"quality":"inauspicious"},{"name":"Chala","start":"03:43","end":"05:22","startHours":27.7152106598935,"endHours":29.368436242874655,"quality":"neutral"},{"name":"Labha","start":"05:22","end":"07:01","startHours":29.368436242874655,"endHours":31.02166182585581,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:01","end":"08:01","startHours":7.0216618258558094,"endHours":8.021661825855809,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:01","end":"09:01","startHours":8.021661825855809,"endHours":9.021661825855809,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:01","end":"10:01","startHours":9.021661825855809,"endHours":10.021661825855809,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:01","end":"11:01","startHours":10.021661825855809,"endHours":11.021661825855809,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:01","end":"12:01","startHours":11.021661825855809,"endHours":12.021661825855809,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:01","end":"13:01","startHours":12.021661825855809,"endHours":13.021661825855809,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:01","end":"14:01","startHours":13.021661825855809,"endHours":14.021661825855809,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:01","end":"15:01","startHours":14.021661825855809,"endHours":15.021661825855809,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:01","end":"16:01","startHours":15.021661825855809,"endHours":16.02166182585581,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:01","end":"17:01","startHours":16.02166182585581,"endHours":17.02166182585581,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:01","end":"18:01","startHours":17.02166182585581,"endHours":18.02166182585581,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:01","end":"19:01","startHours":18.02166182585581,"endHours":19.02166182585581,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:01","end":"20:01","startHours":19.02166182585581,"endHours":20.02166182585581,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:01","end":"21:01","startHours":20.02166182585581,"endHours":21.02166182585581,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:01","end":"22:01","startHours":21.02166182585581,"endHours":22.02166182585581,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:01","end":"23:01","startHours":22.02166182585581,"endHours":23.02166182585581,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:01","end":"00:01","startHours":23.02166182585581,"endHours":24.02166182585581,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:01","end":"01:01","startHours":24.02166182585581,"endHours":25.02166182585581,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:01","end":"02:01","startHours":25.02166182585581,"endHours":26.02166182585581,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:01","end":"03:01","startHours":26.02166182585581,"endHours":27.02166182585581,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:01","end":"04:01","startHours":27.02166182585581,"endHours":28.02166182585581,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:01","end":"05:01","startHours":28.02166182585581,"endHours":29.02166182585581,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:01","end":"06:01","startHours":29.02166182585581,"endHours":30.02166182585581,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:01","end":"07:01","startHours":30.02166182585581,"endHours":31.02166182585581,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"East","anandadiYoga":{"name":"Padma","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":-22.448538773375862,"eotMinutes":2.3204303641286352,"ayanamsa":-48.5087}},"calendars":{"vikram_samvat":-3124,"saka_samvat":-3259,"bengali_samvat":-3774,"malayalam_era":-4005,"nanakshahi_year":-4650,"lunar_month":"Phālguna","lunar_month_paksha_full":"Phālguna Kṛṣṇa 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 Kṛṣṇa Daśamī · Vikram -3124 undefined · Śaka -3259 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 December 19, 3182 BCE · Ujjain · Vidhyamitra","description":"December 19, 3182 BCE for Ujjain: Kṛṣṇa Daśamī, sūryodaya 07:01, sūryāsta 17:48.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/-3181-12-19","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/-3181-12-19","sa":"https://sa.vidhyamitra.com/city/ujjain/-3181-12-19","hi":"https://hi.vidhyamitra.com/city/ujjain/-3181-12-19","x-default":"https://vidhyamitra.com/city/ujjain/-3181-12-19"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-08T00:15:21.306Z","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":"2026-09-08T00:15:21.306Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-08T00:15:21.306Z","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"}}}