{"id":"vidhyamitra:city-day:ujjain:1663-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ujjain/1663-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1663-01-20","date_display":"January 20, 1663 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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1663,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2328477.770833,"kali_year":4764,"ahargana":1740012.2708,"sun":{"sidereal_longitude":281.7036,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":56.7006,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":134.997,"elapsed_within_tithi_degrees":2.997},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":56.7006,"elapsed_within_degrees":3.3673},"yoga":{"number":26,"name":"Indra","sum_longitude":338.4043},"karana":{"half_tithi_index":22,"name":"Bava"},"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":1663,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2328477.770833,"ahargana":1740012.2708,"kali_year":4764,"ayanamsa_lahiri":19.1461,"grahas":{"sun":{"sidereal_longitude":280.950883,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"moon":{"sidereal_longitude":53.63428299999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":-4.4994},"mars":{"sidereal_longitude":281.636483,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":271.023783,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":233.52318300000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":280.2545829999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":239.01168299999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":145.7764,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":325.7764,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":1663,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2328477.770833,"kali_year":4764,"ahargana":1740012.2708,"sun":{"sidereal_longitude":281.7036,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":56.7006,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":12,"name":"Dvādaśī","paksha":"Śukla","full_name":"Śukla Dvādaśī","elongation_degrees":134.997,"elapsed_within_tithi_degrees":2.997},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":56.7006,"elapsed_within_degrees":3.3673},"yoga":{"number":26,"name":"Indra","sum_longitude":338.4043},"karana":{"half_tithi_index":22,"name":"Bava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.499,"elongation":134.997},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.499,"opposition_distance":45.003}},"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":"07:10","sunsetLocal":"18:06","solarNoonLocal":"12:38","dayLengthHours":10.926510833065088,"dayLengthDisplay":"10 Hours 55 Mins 35 Secs","nightLengthDisplay":"13 Hours 04 Mins 25 Secs","moonriseLocal":"14:45","moonsetLocal":"04:12","rahuKala":{"name":"Rāhu Kāla","start":"09:54","end":"11:16","startHours":9.898544014020883,"endHours":11.264357868154018,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:00","end":"15:22","startHours":13.995985576420292,"endHours":15.361799430553427,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:10","end":"08:32","startHours":7.1669163057546115,"endHours":8.532730159887748,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:43","end":"10:05","startHours":9.716435500136466,"endHours":10.0806525279053,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:55","startHours":7.622187590465657,"endHours":7.913561212680726,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:16","end":"13:00","startHours":12.265954694518319,"endHours":12.994388750055991,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:43","end":"06:26","startHours":5.710048194679267,"endHours":6.438482250216939,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:15","end":"07:10","startHours":6.256373736332521,"endHours":7.1669163057546115,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:11","startHours":14.451256861131336,"endHours":15.179690916669008,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:54","end":"18:18","startHours":17.8934271388197,"endHours":18.2934271388197,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:06","end":"18:33","startHours":18.0934271388197,"endHours":18.548698423530745,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:51","end":"19:36","startHours":17.8434271388197,"endHours":19.5934271388197,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:16","end":"01:00","startHours":24.265954694518317,"endHours":24.994388750055993,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:10","end":"08:32","startHours":7.1669163057546115,"endHours":8.532730159887748,"quality":"inauspicious"},{"name":"Śubha","start":"08:32","end":"09:54","startHours":8.532730159887748,"endHours":9.898544014020883,"quality":"auspicious"},{"name":"Roga","start":"09:54","end":"11:16","startHours":9.898544014020883,"endHours":11.264357868154018,"quality":"inauspicious"},{"name":"Udveg","start":"11:16","end":"12:38","startHours":11.264357868154018,"endHours":12.630171722287155,"quality":"inauspicious"},{"name":"Chala","start":"12:38","end":"14:00","startHours":12.630171722287155,"endHours":13.995985576420292,"quality":"neutral"},{"name":"Labha","start":"14:00","end":"15:22","startHours":13.995985576420292,"endHours":15.361799430553427,"quality":"auspicious"},{"name":"Amṛta","start":"15:22","end":"16:44","startHours":15.361799430553427,"endHours":16.727613284686562,"quality":"auspicious"},{"name":"Kāla","start":"16:44","end":"18:06","startHours":16.727613284686562,"endHours":18.0934271388197,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:06","end":"19:44","startHours":18.0934271388197,"endHours":19.727613284686562,"quality":"auspicious"},{"name":"Amṛta","start":"19:44","end":"21:22","startHours":19.727613284686562,"endHours":21.361799430553425,"quality":"auspicious"},{"name":"Kāla","start":"21:22","end":"23:00","startHours":21.361799430553425,"endHours":22.995985576420292,"quality":"inauspicious"},{"name":"Śubha","start":"23:00","end":"00:38","startHours":22.995985576420292,"endHours":24.630171722287155,"quality":"auspicious"},{"name":"Roga","start":"00:38","end":"02:16","startHours":24.630171722287155,"endHours":26.26435786815402,"quality":"inauspicious"},{"name":"Udveg","start":"02:16","end":"03:54","startHours":26.26435786815402,"endHours":27.898544014020885,"quality":"inauspicious"},{"name":"Chala","start":"03:54","end":"05:32","startHours":27.898544014020885,"endHours":29.53273015988775,"quality":"neutral"},{"name":"Labha","start":"05:32","end":"07:10","startHours":29.53273015988775,"endHours":31.16691630575461,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.1669163057546115,"endHours":8.166916305754611,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.166916305754611,"endHours":9.166916305754611,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.166916305754611,"endHours":10.166916305754611,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.166916305754611,"endHours":11.166916305754611,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.166916305754611,"endHours":12.166916305754611,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.166916305754611,"endHours":13.166916305754611,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.166916305754611,"endHours":14.166916305754611,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.166916305754611,"endHours":15.166916305754611,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.166916305754611,"endHours":16.16691630575461,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.16691630575461,"endHours":17.16691630575461,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.16691630575461,"endHours":18.16691630575461,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.16691630575461,"endHours":19.16691630575461,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.16691630575461,"endHours":20.16691630575461,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.16691630575461,"endHours":21.16691630575461,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.16691630575461,"endHours":22.16691630575461,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.16691630575461,"endHours":23.16691630575461,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.16691630575461,"endHours":24.16691630575461,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.16691630575461,"endHours":25.16691630575461,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.16691630575461,"endHours":26.16691630575461,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.16691630575461,"endHours":27.16691630575461,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.16691630575461,"endHours":28.16691630575461,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.16691630575461,"endHours":29.16691630575461,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.16691630575461,"endHours":30.16691630575461,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.16691630575461,"endHours":31.16691630575461,"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","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":-20.127434016152144,"eotMinutes":-10.9643033372293,"ayanamsa":19.1461}},"calendars":{"vikram_samvat":1720,"vikram_samvatsara":"Nala","saka_samvat":1585,"saka_samvatsara":"Śobhana","bengali_samvat":1070,"malayalam_era":839,"nanakshahi_year":194,"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 Dvādaśī · Vikram 1720 Nala · Śaka 1585 Śobhana"},"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":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, 1663 CE · Ujjain · Vidhyamitra","description":"January 20, 1663 CE for Ujjain: Śukla Dvādaśī, sūryodaya 07:10, sūryāsta 18:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ujjain/1663-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ujjain/1663-01-20","sa":"https://sa.vidhyamitra.com/city/ujjain/1663-01-20","hi":"https://hi.vidhyamitra.com/city/ujjain/1663-01-20","x-default":"https://vidhyamitra.com/city/ujjain/1663-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-05T00:46:44.418Z","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":"2026-06-05T00:46:44.418Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-05T00:46:44.418Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}