{"id":"vidhyamitra:city-day:ujjain:1845-12-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/1845-12-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1845-12-03","date_display":"December 3, 1845 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":1845,"month":12,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395268.770833,"kali_year":4947,"ahargana":1806803.2708,"sun":{"sidereal_longitude":228.9869,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":275.3713,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.3843,"elapsed_within_tithi_degrees":10.3843},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":275.3713,"elapsed_within_degrees":8.7046},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.3582},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1845,"month":12,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2395268.770833,"ahargana":1806803.2708,"kali_year":4947,"ayanamsa_lahiri":21.7006,"grahas":{"sun":{"sidereal_longitude":229.08907599999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":278.326376,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false,"latitude":4.1864},"mars":{"sidereal_longitude":329.05747599999995,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":250.533276,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":12.078776000000005,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":true},"venus":{"sidereal_longitude":277.59917599999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":294.40707599999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":206.8678,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":26.8678,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":1845,"month":12,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2395268.770833,"kali_year":4947,"ahargana":1806803.2708,"sun":{"sidereal_longitude":228.9869,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":275.3713,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":46.3843,"elapsed_within_tithi_degrees":10.3843},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3,"moon_longitude":275.3713,"elapsed_within_degrees":8.7046},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":144.3582},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.186,"elongation":46.384},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.186,"opposition_distance":133.616}},"eclipse_window_40days":[{"offset_days":-19,"type":"lunar","occurs":true,"moon_latitude":-0.273,"opposition_distance":1.728}]},"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":"06:53","sunsetLocal":"17:41","solarNoonLocal":"12:17","dayLengthHours":10.800016905891521,"dayLengthDisplay":"10 Hours 48 Mins 00 Secs","nightLengthDisplay":"13 Hours 12 Mins 00 Secs","moonriseLocal":"10:08","moonsetLocal":"21:01","rahuKala":{"name":"Rāhu Kāla","start":"12:17","end":"13:38","startHours":12.291452884489036,"endHours":13.641454997725475,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:14","end":"09:35","startHours":8.241446544779715,"endHours":9.591448658016155,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:56","end":"12:17","startHours":10.941450771252594,"endHours":12.291452884489036,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:25","end":"09:46","startHours":9.411448376251297,"endHours":9.771448939781013,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:20","end":"07:38","startHours":7.341445135955421,"endHours":7.6294455867791955,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:39","startHours":11.931452320959318,"endHours":12.651453448018751,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:27","end":"06:10","startHours":5.451442177424405,"endHours":6.17144330448384,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:59","end":"06:53","startHours":5.991443022718982,"endHours":6.891444431543275,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:49","startHours":14.091455702137623,"endHours":14.811456829197057,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:29","end":"17:53","startHours":17.491461337434796,"endHours":17.891461337434794,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:41","end":"18:08","startHours":17.691461337434795,"endHours":18.141462041846943,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:26","end":"19:11","startHours":17.441461337434795,"endHours":19.191461337434795,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:39","startHours":23.931452320959316,"endHours":24.65145344801875,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:53","end":"08:14","startHours":6.891444431543275,"endHours":8.241446544779715,"quality":"auspicious"},{"name":"Amṛta","start":"08:14","end":"09:35","startHours":8.241446544779715,"endHours":9.591448658016155,"quality":"auspicious"},{"name":"Kāla","start":"09:35","end":"10:56","startHours":9.591448658016155,"endHours":10.941450771252594,"quality":"inauspicious"},{"name":"Śubha","start":"10:56","end":"12:17","startHours":10.941450771252594,"endHours":12.291452884489036,"quality":"auspicious"},{"name":"Roga","start":"12:17","end":"13:38","startHours":12.291452884489036,"endHours":13.641454997725475,"quality":"inauspicious"},{"name":"Udveg","start":"13:38","end":"14:59","startHours":13.641454997725475,"endHours":14.991457110961914,"quality":"inauspicious"},{"name":"Chala","start":"14:59","end":"16:20","startHours":14.991457110961914,"endHours":16.341459224198356,"quality":"neutral"},{"name":"Labha","start":"16:20","end":"17:41","startHours":16.341459224198356,"endHours":17.691461337434795,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:41","end":"19:20","startHours":17.691461337434795,"endHours":19.341459224198356,"quality":"inauspicious"},{"name":"Chala","start":"19:20","end":"20:59","startHours":19.341459224198356,"endHours":20.991457110961914,"quality":"neutral"},{"name":"Labha","start":"20:59","end":"22:38","startHours":20.991457110961914,"endHours":22.641454997725475,"quality":"auspicious"},{"name":"Amṛta","start":"22:38","end":"00:17","startHours":22.641454997725475,"endHours":24.291452884489033,"quality":"auspicious"},{"name":"Kāla","start":"00:17","end":"01:56","startHours":24.291452884489033,"endHours":25.941450771252594,"quality":"inauspicious"},{"name":"Śubha","start":"01:56","end":"03:35","startHours":25.941450771252594,"endHours":27.591448658016155,"quality":"auspicious"},{"name":"Roga","start":"03:35","end":"05:14","startHours":27.591448658016155,"endHours":29.241446544779713,"quality":"inauspicious"},{"name":"Udveg","start":"05:14","end":"06:53","startHours":29.241446544779713,"endHours":30.891444431543274,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:53","end":"07:53","startHours":6.891444431543275,"endHours":7.891444431543275,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:53","end":"08:53","startHours":7.891444431543275,"endHours":8.891444431543274,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:53","end":"09:53","startHours":8.891444431543274,"endHours":9.891444431543274,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:53","end":"10:53","startHours":9.891444431543274,"endHours":10.891444431543274,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:53","end":"11:53","startHours":10.891444431543274,"endHours":11.891444431543274,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:53","end":"12:53","startHours":11.891444431543274,"endHours":12.891444431543274,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:53","end":"13:53","startHours":12.891444431543274,"endHours":13.891444431543274,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:53","end":"14:53","startHours":13.891444431543274,"endHours":14.891444431543274,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:53","end":"15:53","startHours":14.891444431543274,"endHours":15.891444431543274,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:53","end":"16:53","startHours":15.891444431543274,"endHours":16.891444431543274,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:53","end":"17:53","startHours":16.891444431543274,"endHours":17.891444431543274,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:53","end":"18:53","startHours":17.891444431543274,"endHours":18.891444431543274,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:53","end":"19:53","startHours":18.891444431543274,"endHours":19.891444431543274,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:53","end":"20:53","startHours":19.891444431543274,"endHours":20.891444431543274,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:53","end":"21:53","startHours":20.891444431543274,"endHours":21.891444431543274,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:53","end":"22:53","startHours":21.891444431543274,"endHours":22.891444431543274,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:53","end":"23:53","startHours":22.891444431543274,"endHours":23.891444431543274,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:53","end":"00:53","startHours":23.891444431543274,"endHours":24.891444431543274,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:53","end":"01:53","startHours":24.891444431543274,"endHours":25.891444431543274,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:53","end":"02:53","startHours":25.891444431543274,"endHours":26.891444431543274,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:53","end":"03:53","startHours":26.891444431543274,"endHours":27.891444431543274,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:53","end":"04:53","startHours":27.891444431543274,"endHours":28.891444431543274,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:53","end":"05:53","startHours":28.891444431543274,"endHours":29.891444431543274,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:53","end":"06:53","startHours":29.891444431543274,"endHours":30.891444431543274,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"South-West","anandadiYoga":{"name":"Saumya","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":-22.06050883491301,"eotMinutes":9.35882693065794,"ayanamsa":21.7006}},"calendars":{"vikram_samvat":1902,"vikram_samvatsara":"Kālayukta","saka_samvat":1767,"saka_samvatsara":"Viśvāvasu","bengali_samvat":1252,"malayalam_era":1021,"nanakshahi_year":376,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","lunar_month_amanta":"Mārgaśīrṣa","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 Śukla Caturthī · Vikram 1902 Kālayukta · Śaka 1767 Viśvāvasu"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Dedicated festival walk for Vināyaka Caturthī (monthly) is not live yet; Budhavāra (Wednesday) — 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 3, 1845 CE · Ujjain · Vidhyamitra","description":"December 3, 1845 CE for Ujjain: Śukla Caturthī, sūryodaya 06:53, sūryāsta 17:41.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/1845-12-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/1845-12-03","sa":"https://sa.vidhyamitra.com/city/ujjain/1845-12-03","hi":"https://hi.vidhyamitra.com/city/ujjain/1845-12-03","x-default":"https://vidhyamitra.com/city/ujjain/1845-12-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-08-10T12:33:11.682Z","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":"2026-08-10T12:33:11.682Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-08-10T12:33:11.682Z","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"}}}