{"id":"vidhyamitra:city-day:ujjain:2046-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/2046-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2046-01-20","date_display":"January 20, 2046 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":2046,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468365.770833,"kali_year":5147,"ahargana":1879900.2708,"sun":{"sidereal_longitude":275.4472,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":62.0256,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":146.5783,"elapsed_within_tithi_degrees":2.5783},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.0256,"elapsed_within_degrees":8.6922},"yoga":{"number":26,"name":"Indra","sum_longitude":337.4728},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":2046,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2468365.770833,"ahargana":1879900.2708,"kali_year":5147,"ayanamsa_lahiri":24.4963,"grahas":{"sun":{"sidereal_longitude":275.629633,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":61.75393300000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":3.5355},"mars":{"sidereal_longitude":179.28253300000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":277.4545330000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":318.1076330000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":248.46423300000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":233.92913299999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":293.8369,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":113.8369,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","pada":3},"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":2046,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2468365.770833,"kali_year":5147,"ahargana":1879900.2708,"sun":{"sidereal_longitude":275.4472,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":62.0256,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":146.5783,"elapsed_within_tithi_degrees":2.5783},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":3,"moon_longitude":62.0256,"elapsed_within_degrees":8.6922},"yoga":{"number":26,"name":"Indra","sum_longitude":337.4728},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.536,"elongation":146.578},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.536,"opposition_distance":33.422}},"eclipse_window_40days":[{"offset_days":17,"type":"solar","occurs":true,"moon_latitude":0.166,"elongation":2.206}]},"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":"07:10","sunsetLocal":"18:06","solarNoonLocal":"12:38","dayLengthHours":10.926908015069479,"dayLengthDisplay":"10 Hours 55 Mins 37 Secs","nightLengthDisplay":"13 Hours 04 Mins 23 Secs","moonriseLocal":"15:37","moonsetLocal":"05:08","rahuKala":{"name":"Rāhu Kāla","start":"09:54","end":"11:16","startHours":9.898444718519784,"endHours":11.26430822040347,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:00","end":"15:22","startHours":13.99603522417084,"endHours":15.361898726054523,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:10","end":"08:32","startHours":7.166717714752415,"endHours":8.5325812166361,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:43","end":"10:05","startHours":9.716329584935293,"endHours":10.080559852104276,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:55","startHours":7.622005548713643,"endHours":7.913389762448829,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:16","end":"13:00","startHours":12.265941455118172,"endHours":12.994401989456138,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:26","startHours":5.709796646076484,"endHours":6.43825718041445,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:10","startHours":6.256142046829958,"endHours":7.166717714752415,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:11","startHours":14.451323058132068,"endHours":15.179783592470034,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:54","end":"18:18","startHours":17.893625729821895,"endHours":18.293625729821894,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:06","end":"18:33","startHours":18.093625729821895,"endHours":18.548913563783124,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:51","end":"19:36","startHours":17.843625729821895,"endHours":19.593625729821895,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:16","end":"01:00","startHours":24.265941455118174,"endHours":24.994401989456136,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:10","end":"08:32","startHours":7.166717714752415,"endHours":8.5325812166361,"quality":"inauspicious"},{"name":"Śubha","start":"08:32","end":"09:54","startHours":8.5325812166361,"endHours":9.898444718519784,"quality":"auspicious"},{"name":"Roga","start":"09:54","end":"11:16","startHours":9.898444718519784,"endHours":11.26430822040347,"quality":"inauspicious"},{"name":"Udveg","start":"11:16","end":"12:38","startHours":11.26430822040347,"endHours":12.630171722287155,"quality":"inauspicious"},{"name":"Chala","start":"12:38","end":"14:00","startHours":12.630171722287155,"endHours":13.99603522417084,"quality":"neutral"},{"name":"Labha","start":"14:00","end":"15:22","startHours":13.99603522417084,"endHours":15.361898726054523,"quality":"auspicious"},{"name":"Amṛta","start":"15:22","end":"16:44","startHours":15.361898726054523,"endHours":16.72776222793821,"quality":"auspicious"},{"name":"Kāla","start":"16:44","end":"18:06","startHours":16.72776222793821,"endHours":18.093625729821895,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:06","end":"19:44","startHours":18.093625729821895,"endHours":19.72776222793821,"quality":"auspicious"},{"name":"Amṛta","start":"19:44","end":"21:22","startHours":19.72776222793821,"endHours":21.361898726054527,"quality":"auspicious"},{"name":"Kāla","start":"21:22","end":"23:00","startHours":21.361898726054527,"endHours":22.99603522417084,"quality":"inauspicious"},{"name":"Śubha","start":"23:00","end":"00:38","startHours":22.99603522417084,"endHours":24.630171722287155,"quality":"auspicious"},{"name":"Roga","start":"00:38","end":"02:16","startHours":24.630171722287155,"endHours":26.26430822040347,"quality":"inauspicious"},{"name":"Udveg","start":"02:16","end":"03:54","startHours":26.26430822040347,"endHours":27.898444718519784,"quality":"inauspicious"},{"name":"Chala","start":"03:54","end":"05:32","startHours":27.898444718519784,"endHours":29.5325812166361,"quality":"neutral"},{"name":"Labha","start":"05:32","end":"07:10","startHours":29.5325812166361,"endHours":31.166717714752416,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.166717714752415,"endHours":8.166717714752416,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.166717714752416,"endHours":9.166717714752416,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.166717714752416,"endHours":10.166717714752416,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.166717714752416,"endHours":11.166717714752416,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.166717714752416,"endHours":12.166717714752416,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.166717714752416,"endHours":13.166717714752416,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.166717714752416,"endHours":14.166717714752416,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.166717714752416,"endHours":15.166717714752416,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.166717714752416,"endHours":16.166717714752416,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.166717714752416,"endHours":17.166717714752416,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.166717714752416,"endHours":18.166717714752416,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.166717714752416,"endHours":19.166717714752416,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.166717714752416,"endHours":20.166717714752416,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.166717714752416,"endHours":21.166717714752416,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.166717714752416,"endHours":22.166717714752416,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.166717714752416,"endHours":23.166717714752416,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.166717714752416,"endHours":24.166717714752416,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.166717714752416,"endHours":25.166717714752416,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.166717714752416,"endHours":26.166717714752416,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.166717714752416,"endHours":27.166717714752416,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.166717714752416,"endHours":28.166717714752416,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.166717714752416,"endHours":29.166717714752416,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.166717714752416,"endHours":30.166717714752416,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.166717714752416,"endHours":31.166717714752416,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.121281850031767,"eotMinutes":-10.9643033372293,"ayanamsa":24.4963}},"calendars":{"vikram_samvat":2103,"vikram_samvatsara":"Pramāthi","saka_samvat":1968,"saka_samvatsara":"Akṣaya","bengali_samvat":1453,"malayalam_era":1222,"nanakshahi_year":577,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Trayodaśī · Vikram 2103 Pramāthi · Śaka 1968 Akṣaya"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":"Dedicated festival walk for Pradoṣa Vrata is not live yet; Śanivāra (Saturday) — 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 January 20, 2046 CE · Ujjain · Vidhyamitra","description":"January 20, 2046 CE for Ujjain: Śukla Trayodaśī, sūryodaya 07:10, sūryāsta 18:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/2046-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/2046-01-20","sa":"https://sa.vidhyamitra.com/city/ujjain/2046-01-20","hi":"https://hi.vidhyamitra.com/city/ujjain/2046-01-20","x-default":"https://vidhyamitra.com/city/ujjain/2046-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T14:08:17.549Z","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":"2026-09-11T14:08:17.549Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T14:08:17.549Z","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"}}}