{"id":"vidhyamitra:city-day:ujjain:2050-12-06:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/2050-12-06","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-12-06","date_display":"December 6, 2050 CE","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":2050,"month":12,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470146.770833,"kali_year":5152,"ahargana":1881681.2708,"sun":{"sidereal_longitude":228.9408,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":136.634,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":267.6932,"elapsed_within_tithi_degrees":3.6932},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":136.634,"elapsed_within_degrees":3.3007},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":5.5748},"karana":{"half_tithi_index":44,"name":"Bālava"},"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":2050,"month":12,"day":6,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470146.770833,"ahargana":1881681.2708,"kali_year":5152,"ayanamsa_lahiri":24.5644,"grahas":{"sun":{"sidereal_longitude":229.52798600000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":137.155886,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":-4.0028},"mars":{"sidereal_longitude":323.93658600000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":240.99028599999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":130.07478600000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":183.97188600000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":279.940386,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":199.471,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":19.471,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"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":2050,"month":12,"day":6,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470146.770833,"kali_year":5152,"ahargana":1881681.2708,"sun":{"sidereal_longitude":228.9408,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":136.634,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":267.6932,"elapsed_within_tithi_degrees":3.6932},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1,"moon_longitude":136.634,"elapsed_within_degrees":3.3007},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":5.5748},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.003,"elongation":92.307},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.003,"opposition_distance":87.693}},"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":"06:56","sunsetLocal":"17:42","solarNoonLocal":"12:19","dayLengthHours":10.771513960792653,"dayLengthDisplay":"10 Hours 46 Mins 17 Secs","nightLengthDisplay":"13 Hours 13 Mins 43 Secs","moonriseLocal":"23:54","moonsetLocal":"12:24","rahuKala":{"name":"Rāhu Kāla","start":"15:00","end":"16:21","startHours":15.004597165618968,"endHours":16.351036410718052,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:37","end":"10:58","startHours":9.618840185222641,"endHours":10.965279430321724,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:19","end":"13:39","startHours":12.311718675420806,"endHours":13.658157920519887,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:26","end":"09:48","startHours":9.439314952542764,"endHours":9.79836541790252,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:22","end":"07:40","startHours":7.3747747767241725,"endHours":7.662015149011976,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:40","startHours":11.95266821006105,"endHours":12.670769140780562,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:29","end":"06:12","startHours":5.489759833585459,"endHours":6.207860764304969,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:02","end":"06:56","startHours":6.028335531625091,"endHours":6.925961695024479,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:50","startHours":14.10697100221958,"endHours":14.82507193293909,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:30","end":"17:54","startHours":17.497475655817134,"endHours":17.897475655817132,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:42","end":"18:09","startHours":17.697475655817133,"endHours":18.146288737516826,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:27","end":"19:12","startHours":17.447475655817133,"endHours":19.197475655817133,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:40","startHours":23.952668210061052,"endHours":24.67076914078056,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"06:56","end":"08:16","startHours":6.925961695024479,"endHours":8.27240094012356,"quality":"inauspicious"},{"name":"Udveg","start":"08:16","end":"09:37","startHours":8.27240094012356,"endHours":9.618840185222641,"quality":"inauspicious"},{"name":"Chala","start":"09:37","end":"10:58","startHours":9.618840185222641,"endHours":10.965279430321724,"quality":"neutral"},{"name":"Labha","start":"10:58","end":"12:19","startHours":10.965279430321724,"endHours":12.311718675420806,"quality":"auspicious"},{"name":"Amṛta","start":"12:19","end":"13:39","startHours":12.311718675420806,"endHours":13.658157920519887,"quality":"auspicious"},{"name":"Kāla","start":"13:39","end":"15:00","startHours":13.658157920519887,"endHours":15.004597165618968,"quality":"inauspicious"},{"name":"Śubha","start":"15:00","end":"16:21","startHours":15.004597165618968,"endHours":16.351036410718052,"quality":"auspicious"},{"name":"Roga","start":"16:21","end":"17:42","startHours":16.351036410718052,"endHours":17.697475655817133,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:42","end":"19:21","startHours":17.697475655817133,"endHours":19.351036410718052,"quality":"inauspicious"},{"name":"Śubha","start":"19:21","end":"21:00","startHours":19.351036410718052,"endHours":21.004597165618968,"quality":"auspicious"},{"name":"Roga","start":"21:00","end":"22:39","startHours":21.004597165618968,"endHours":22.658157920519887,"quality":"inauspicious"},{"name":"Udveg","start":"22:39","end":"00:19","startHours":22.658157920519887,"endHours":24.311718675420806,"quality":"inauspicious"},{"name":"Chala","start":"00:19","end":"01:58","startHours":24.311718675420806,"endHours":25.965279430321726,"quality":"neutral"},{"name":"Labha","start":"01:58","end":"03:37","startHours":25.965279430321726,"endHours":27.618840185222645,"quality":"auspicious"},{"name":"Amṛta","start":"03:37","end":"05:16","startHours":27.618840185222645,"endHours":29.27240094012356,"quality":"auspicious"},{"name":"Kāla","start":"05:16","end":"06:56","startHours":29.27240094012356,"endHours":30.92596169502448,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:56","end":"07:56","startHours":6.925961695024479,"endHours":7.925961695024479,"planetary_lord":"Mars"},{"name":"Hora 2","start":"07:56","end":"08:56","startHours":7.925961695024479,"endHours":8.92596169502448,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"08:56","end":"09:56","startHours":8.92596169502448,"endHours":9.92596169502448,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"09:56","end":"10:56","startHours":9.92596169502448,"endHours":10.92596169502448,"planetary_lord":"Moon"},{"name":"Hora 5","start":"10:56","end":"11:56","startHours":10.92596169502448,"endHours":11.92596169502448,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"11:56","end":"12:56","startHours":11.92596169502448,"endHours":12.92596169502448,"planetary_lord":"Venus"},{"name":"Hora 7","start":"12:56","end":"13:56","startHours":12.92596169502448,"endHours":13.92596169502448,"planetary_lord":"Sun"},{"name":"Hora 8","start":"13:56","end":"14:56","startHours":13.92596169502448,"endHours":14.92596169502448,"planetary_lord":"Mars"},{"name":"Hora 9","start":"14:56","end":"15:56","startHours":14.92596169502448,"endHours":15.92596169502448,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"15:56","end":"16:56","startHours":15.92596169502448,"endHours":16.92596169502448,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"16:56","end":"17:56","startHours":16.92596169502448,"endHours":17.92596169502448,"planetary_lord":"Moon"},{"name":"Hora 12","start":"17:56","end":"18:56","startHours":17.92596169502448,"endHours":18.92596169502448,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"18:56","end":"19:56","startHours":18.92596169502448,"endHours":19.92596169502448,"planetary_lord":"Venus"},{"name":"Hora 14","start":"19:56","end":"20:56","startHours":19.92596169502448,"endHours":20.92596169502448,"planetary_lord":"Sun"},{"name":"Hora 15","start":"20:56","end":"21:56","startHours":20.92596169502448,"endHours":21.92596169502448,"planetary_lord":"Mars"},{"name":"Hora 16","start":"21:56","end":"22:56","startHours":21.92596169502448,"endHours":22.92596169502448,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"22:56","end":"23:56","startHours":22.92596169502448,"endHours":23.92596169502448,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"23:56","end":"00:56","startHours":23.92596169502448,"endHours":24.92596169502448,"planetary_lord":"Moon"},{"name":"Hora 19","start":"00:56","end":"01:56","startHours":24.92596169502448,"endHours":25.92596169502448,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"01:56","end":"02:56","startHours":25.92596169502448,"endHours":26.92596169502448,"planetary_lord":"Venus"},{"name":"Hora 21","start":"02:56","end":"03:56","startHours":26.92596169502448,"endHours":27.92596169502448,"planetary_lord":"Sun"},{"name":"Hora 22","start":"03:56","end":"04:56","startHours":27.92596169502448,"endHours":28.92596169502448,"planetary_lord":"Mars"},{"name":"Hora 23","start":"04:56","end":"05:56","startHours":28.92596169502448,"endHours":29.92596169502448,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"05:56","end":"06:56","startHours":29.92596169502448,"endHours":30.92596169502448,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","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":"North (Uttara)","chandraVasa":"West","rahuVasa":"North","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.48870244051532,"eotMinutes":8.142879474751563,"ayanamsa":24.5644}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Aṣṭamī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[{"id":"kalabhairava-ashtami","name":"Kālabhairava Aṣṭamī","name_sanskrit":"कालभैरव अष्टमी","tradition":"Shaiva","associated_deity":"Kālabhairava (fierce Śiva)","significance":"Kālabhairava's manifestation; Kāśī-kṣetrapāla.","vrata":true,"detection":{"tithi_number":23,"tithi_paksha":"Kṛṣṇa","lunar_month":"Mārgaśīrṣa"},"precedence":3}],"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 Kālabhairava Aṣṭamī is not live yet; Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"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 6, 2050 CE · Ujjain · Vidhyamitra","description":"December 6, 2050 CE for Ujjain: Kṛṣṇa Aṣṭamī, sūryodaya 06:56, sūryāsta 17:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/2050-12-06","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/2050-12-06","sa":"https://sa.vidhyamitra.com/city/ujjain/2050-12-06","hi":"https://hi.vidhyamitra.com/city/ujjain/2050-12-06","x-default":"https://vidhyamitra.com/city/ujjain/2050-12-06"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T18:34:08.408Z","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":"2026-09-11T18:34:08.408Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T18:34:08.408Z","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"}}}