{"id":"vidhyamitra:city-day:ujjain:2010-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/2010-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2010-01-20","date_display":"January 20, 2010 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":2010,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455216.770833,"kali_year":5111,"ahargana":1866751.2708,"sun":{"sidereal_longitude":275.7706,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":331.0045,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":55.2339,"elapsed_within_tithi_degrees":7.2339},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":331.0045,"elapsed_within_degrees":11.0045},"yoga":{"number":19,"name":"Parigha","sum_longitude":246.7751},"karana":{"half_tithi_index":9,"name":"Bālava"},"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":2010,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455216.770833,"ahargana":1866751.2708,"kali_year":5111,"ayanamsa_lahiri":23.9934,"grahas":{"sun":{"sidereal_longitude":275.866622,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":327.07302200000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false,"latitude":3.9145},"mars":{"sidereal_longitude":109.48742199999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":252.48832199999993,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":306.69162200000005,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":277.699122,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":160.39222199999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":270.5342,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":90.5342,"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":2010,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455216.770833,"kali_year":5111,"ahargana":1866751.2708,"sun":{"sidereal_longitude":275.7706,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":331.0045,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":55.2339,"elapsed_within_tithi_degrees":7.2339},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4,"moon_longitude":331.0045,"elapsed_within_degrees":11.0045},"yoga":{"number":19,"name":"Parigha","sum_longitude":246.7751},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.914,"elongation":55.234},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.914,"opposition_distance":124.766}},"eclipse_window_40days":[{"offset_days":-19,"type":"lunar","occurs":true,"moon_latitude":1.039,"opposition_distance":1.922},{"offset_days":-5,"type":"solar","occurs":true,"moon_latitude":-0.153,"elongation":1.79}]},"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":10.92327104067219,"dayLengthDisplay":"10 Hours 55 Mins 24 Secs","nightLengthDisplay":"13 Hours 04 Mins 36 Secs","moonriseLocal":"10:06","moonsetLocal":"21:59","rahuKala":{"name":"Rāhu Kāla","start":"12:38","end":"14:00","startHours":12.630171722287155,"endHours":13.99558060237118,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:32","end":"09:54","startHours":8.533945082035086,"endHours":9.899353962119108,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:16","end":"12:38","startHours":11.264762842203133,"endHours":12.630171722287155,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:43","end":"10:05","startHours":9.717299444774572,"endHours":10.081408479463645,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:55","startHours":7.623672495312402,"endHours":7.91495972306366,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:16","end":"13:00","startHours":12.266062687598081,"endHours":12.994280756976229,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:26","startHours":5.712100063194769,"endHours":6.440318132572915,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:10","startHours":6.258263615228378,"endHours":7.168536201951061,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:11","startHours":14.450716895732521,"endHours":15.178934965110667,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:54","end":"18:18","startHours":17.89180724262325,"endHours":18.29180724262325,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:06","end":"18:33","startHours":18.09180724262325,"endHours":18.546943535984592,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:51","end":"19:36","startHours":17.84180724262325,"endHours":19.59180724262325,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:16","end":"01:00","startHours":24.266062687598083,"endHours":24.994280756976227,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:10","end":"08:32","startHours":7.168536201951061,"endHours":8.533945082035086,"quality":"auspicious"},{"name":"Amṛta","start":"08:32","end":"09:54","startHours":8.533945082035086,"endHours":9.899353962119108,"quality":"auspicious"},{"name":"Kāla","start":"09:54","end":"11:16","startHours":9.899353962119108,"endHours":11.264762842203133,"quality":"inauspicious"},{"name":"Śubha","start":"11:16","end":"12:38","startHours":11.264762842203133,"endHours":12.630171722287155,"quality":"auspicious"},{"name":"Roga","start":"12:38","end":"14:00","startHours":12.630171722287155,"endHours":13.99558060237118,"quality":"inauspicious"},{"name":"Udveg","start":"14:00","end":"15:22","startHours":13.99558060237118,"endHours":15.360989482455203,"quality":"inauspicious"},{"name":"Chala","start":"15:22","end":"16:44","startHours":15.360989482455203,"endHours":16.72639836253923,"quality":"neutral"},{"name":"Labha","start":"16:44","end":"18:06","startHours":16.72639836253923,"endHours":18.09180724262325,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:06","end":"19:44","startHours":18.09180724262325,"endHours":19.72639836253923,"quality":"inauspicious"},{"name":"Chala","start":"19:44","end":"21:22","startHours":19.72639836253923,"endHours":21.360989482455203,"quality":"neutral"},{"name":"Labha","start":"21:22","end":"23:00","startHours":21.360989482455203,"endHours":22.995580602371177,"quality":"auspicious"},{"name":"Amṛta","start":"23:00","end":"00:38","startHours":22.995580602371177,"endHours":24.630171722287155,"quality":"auspicious"},{"name":"Kāla","start":"00:38","end":"02:16","startHours":24.630171722287155,"endHours":26.264762842203133,"quality":"inauspicious"},{"name":"Śubha","start":"02:16","end":"03:54","startHours":26.264762842203133,"endHours":27.899353962119108,"quality":"auspicious"},{"name":"Roga","start":"03:54","end":"05:32","startHours":27.899353962119108,"endHours":29.533945082035082,"quality":"inauspicious"},{"name":"Udveg","start":"05:32","end":"07:10","startHours":29.533945082035082,"endHours":31.16853620195106,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.168536201951061,"endHours":8.16853620195106,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.16853620195106,"endHours":9.16853620195106,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.16853620195106,"endHours":10.16853620195106,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.16853620195106,"endHours":11.16853620195106,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.16853620195106,"endHours":12.16853620195106,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.16853620195106,"endHours":13.16853620195106,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.16853620195106,"endHours":14.16853620195106,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.16853620195106,"endHours":15.16853620195106,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.16853620195106,"endHours":16.16853620195106,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.16853620195106,"endHours":17.16853620195106,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.16853620195106,"endHours":18.16853620195106,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.16853620195106,"endHours":19.16853620195106,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.16853620195106,"endHours":20.16853620195106,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.16853620195106,"endHours":21.16853620195106,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.16853620195106,"endHours":22.16853620195106,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.16853620195106,"endHours":23.16853620195106,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.16853620195106,"endHours":24.16853620195106,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.16853620195106,"endHours":25.16853620195106,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.16853620195106,"endHours":26.16853620195106,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.16853620195106,"endHours":27.16853620195106,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.16853620195106,"endHours":28.16853620195106,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.16853620195106,"endHours":29.16853620195106,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.16853620195106,"endHours":30.16853620195106,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.16853620195106,"endHours":31.16853620195106,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Vajra","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.17759799300234,"eotMinutes":-10.9643033372293,"ayanamsa":23.9934}},"calendars":{"vikram_samvat":2067,"vikram_samvatsara":"Śobhana","saka_samvat":1932,"saka_samvatsara":"Vikṛti","bengali_samvat":1417,"malayalam_era":1186,"nanakshahi_year":541,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pañcamī · Vikram 2067 Śobhana · Śaka 1932 Vikṛti"},"festivals":[{"id":"sarasvati-jayanti","name":"Sarasvatī Jayantī (Vasanta Pañchamī)","name_sanskrit":"सरस्वती जयन्ती / वसन्त पञ्चमी","tradition":"Pan-Hindu","associated_deity":"Sarasvatī (Vāk-tattva)","significance":"Manifestation of Devī Sarasvatī; vidyā-ārambha day; vasanta-ṛtu begins.","vrata":true,"detection":{"tithi_number":5,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":2,"sources":["Skanda Purāṇa","Devī Bhāgavata"]}],"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 Sarasvatī Jayantī (Vasanta Pañchamī) 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 January 20, 2010 CE · Ujjain · Vidhyamitra","description":"January 20, 2010 CE for Ujjain: Śukla Pañcamī, sūryodaya 07:10, sūryāsta 18:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/2010-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/2010-01-20","sa":"https://sa.vidhyamitra.com/city/ujjain/2010-01-20","hi":"https://hi.vidhyamitra.com/city/ujjain/2010-01-20","x-default":"https://vidhyamitra.com/city/ujjain/2010-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-11T18:51:16.883Z","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":"2026-09-11T18:51:16.883Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-11T18:51:16.883Z","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"}}}