{"id":"vidhyamitra:city-day:ayodhya:2020-12-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/ayodhya/2020-12-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2020-12-21","date_display":"December 21, 2020 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":2020,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459204.770833,"kali_year":5122,"ahargana":1870739.2708,"sun":{"sidereal_longitude":245.1028,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":323.4361,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":78.3333,"elapsed_within_tithi_degrees":6.3333},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":323.4361,"elapsed_within_degrees":3.4361},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.5388},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2020,"month":12,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459204.770833,"ahargana":1870739.2708,"kali_year":5122,"ayanamsa_lahiri":24.146,"grahas":{"sun":{"sidereal_longitude":245.48445100000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":325.0166509999999,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false,"latitude":-4.477},"mars":{"sidereal_longitude":358.512151,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":245.7050509999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":276.18315099999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":222.268051,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":276.262151,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":59.2308,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":239.2308,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":"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":2020,"month":12,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459204.770833,"kali_year":5122,"ahargana":1870739.2708,"sun":{"sidereal_longitude":245.1028,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":323.4361,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":78.3333,"elapsed_within_tithi_degrees":6.3333},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":323.4361,"elapsed_within_degrees":3.4361},"yoga":{"number":16,"name":"Siddhi","sum_longitude":208.5388},"karana":{"half_tithi_index":13,"name":"Vaṇija"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.477,"elongation":78.333},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.477,"opposition_distance":101.667}},"eclipse_window_40days":[{"offset_days":9,"type":"lunar","occurs":true,"moon_latitude":1.091,"opposition_distance":1.549}]},"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"ayodhya","name":"Ayodhyā","lat":26.799,"lon":82.204,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:46","sunsetLocal":"17:13","solarNoonLocal":"12:00","dayLengthHours":10.452323765070165,"dayLengthDisplay":"10 Hours 27 Mins 08 Secs","nightLengthDisplay":"13 Hours 32 Mins 52 Secs","moonriseLocal":"11:24","moonsetLocal":"23:12","rahuKala":{"name":"Rāhu Kāla","start":"08:05","end":"09:23","startHours":8.077068097982984,"endHours":9.383608568616754,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:41","end":"12:00","startHours":10.690149039250525,"endHours":11.996689509884295,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:18","end":"14:37","startHours":13.303229980518065,"endHours":14.609770451151837,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:13","end":"09:33","startHours":9.209403172532252,"endHours":9.557813964701257,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:12","end":"07:29","startHours":7.20604111756047,"endHours":7.484769751295675,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:39","end":"12:21","startHours":11.648278717715291,"endHours":12.345100302053302,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:23","end":"06:04","startHours":5.3768844586731905,"endHours":6.073706043011202,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:54","end":"06:46","startHours":5.8995006469266995,"endHours":6.770527627349213,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:44","end":"14:26","startHours":13.738743470729322,"endHours":14.435565055067332,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:01","end":"17:25","startHours":17.02285139241938,"endHours":17.42285139241938,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:13","end":"17:40","startHours":17.22285139241938,"endHours":17.658364882630636,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:58","end":"18:43","startHours":16.97285139241938,"endHours":18.72285139241938,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:39","end":"00:21","startHours":23.648278717715293,"endHours":24.345100302053304,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:46","end":"08:05","startHours":6.770527627349213,"endHours":8.077068097982984,"quality":"auspicious"},{"name":"Kāla","start":"08:05","end":"09:23","startHours":8.077068097982984,"endHours":9.383608568616754,"quality":"inauspicious"},{"name":"Śubha","start":"09:23","end":"10:41","startHours":9.383608568616754,"endHours":10.690149039250525,"quality":"auspicious"},{"name":"Roga","start":"10:41","end":"12:00","startHours":10.690149039250525,"endHours":11.996689509884295,"quality":"inauspicious"},{"name":"Udveg","start":"12:00","end":"13:18","startHours":11.996689509884295,"endHours":13.303229980518065,"quality":"inauspicious"},{"name":"Chala","start":"13:18","end":"14:37","startHours":13.303229980518065,"endHours":14.609770451151837,"quality":"neutral"},{"name":"Labha","start":"14:37","end":"15:55","startHours":14.609770451151837,"endHours":15.916310921785609,"quality":"auspicious"},{"name":"Amṛta","start":"15:55","end":"17:13","startHours":15.916310921785609,"endHours":17.22285139241938,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:13","end":"18:55","startHours":17.22285139241938,"endHours":18.91631092178561,"quality":"neutral"},{"name":"Labha","start":"18:55","end":"20:37","startHours":18.91631092178561,"endHours":20.60977045115184,"quality":"auspicious"},{"name":"Amṛta","start":"20:37","end":"22:18","startHours":20.60977045115184,"endHours":22.30322998051807,"quality":"auspicious"},{"name":"Kāla","start":"22:18","end":"00:00","startHours":22.30322998051807,"endHours":23.9966895098843,"quality":"inauspicious"},{"name":"Śubha","start":"00:00","end":"01:41","startHours":23.9966895098843,"endHours":25.690149039250528,"quality":"auspicious"},{"name":"Roga","start":"01:41","end":"03:23","startHours":25.690149039250528,"endHours":27.383608568616754,"quality":"inauspicious"},{"name":"Udveg","start":"03:23","end":"05:05","startHours":27.383608568616754,"endHours":29.077068097982984,"quality":"inauspicious"},{"name":"Chala","start":"05:05","end":"06:46","startHours":29.077068097982984,"endHours":30.770527627349214,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:46","end":"07:46","startHours":6.770527627349213,"endHours":7.770527627349213,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:46","end":"08:46","startHours":7.770527627349213,"endHours":8.770527627349214,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:46","end":"09:46","startHours":8.770527627349214,"endHours":9.770527627349214,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:46","end":"10:46","startHours":9.770527627349214,"endHours":10.770527627349214,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:46","end":"11:46","startHours":10.770527627349214,"endHours":11.770527627349214,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:46","end":"12:46","startHours":11.770527627349214,"endHours":12.770527627349214,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:46","end":"13:46","startHours":12.770527627349214,"endHours":13.770527627349214,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:46","end":"14:46","startHours":13.770527627349214,"endHours":14.770527627349214,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:46","end":"15:46","startHours":14.770527627349214,"endHours":15.770527627349214,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:46","end":"16:46","startHours":15.770527627349214,"endHours":16.770527627349214,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:46","end":"17:46","startHours":16.770527627349214,"endHours":17.770527627349214,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:46","end":"18:46","startHours":17.770527627349214,"endHours":18.770527627349214,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:46","end":"19:46","startHours":18.770527627349214,"endHours":19.770527627349214,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:46","end":"20:46","startHours":19.770527627349214,"endHours":20.770527627349214,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:46","end":"21:46","startHours":20.770527627349214,"endHours":21.770527627349214,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:46","end":"22:46","startHours":21.770527627349214,"endHours":22.770527627349214,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:46","end":"23:46","startHours":22.770527627349214,"endHours":23.770527627349214,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:46","end":"00:46","startHours":23.770527627349214,"endHours":24.770527627349214,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:46","end":"01:46","startHours":24.770527627349214,"endHours":25.770527627349214,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:46","end":"02:46","startHours":25.770527627349214,"endHours":26.770527627349214,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:46","end":"03:46","startHours":26.770527627349214,"endHours":27.770527627349214,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:46","end":"04:46","startHours":27.770527627349214,"endHours":28.770527627349214,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:46","end":"05:46","startHours":28.770527627349214,"endHours":29.770527627349214,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:46","end":"06:46","startHours":29.770527627349214,"endHours":30.770527627349214,"planetary_lord":"Venus"}],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.43598337744336,"eotMinutes":1.382629406942221,"ayanamsa":24.146}},"calendars":{"vikram_samvat":2077,"vikram_samvatsara":"Pramādī","saka_samvat":1942,"saka_samvatsara":"Śārvarī","bengali_samvat":1427,"malayalam_era":1196,"nanakshahi_year":551,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Saptamī · Vikram 2077 Pramādī · Śaka 1942 Śārvarī"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"ayodhya"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 21, 2020 CE · Ayodhyā · Vidhyamitra","description":"December 21, 2020 CE for Ayodhyā: Śukla Saptamī, sūryodaya 06:46, sūryāsta 17:13.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/ayodhya/2020-12-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/ayodhya/2020-12-21","sa":"https://sa.vidhyamitra.com/city/ayodhya/2020-12-21","hi":"https://hi.vidhyamitra.com/city/ayodhya/2020-12-21","x-default":"https://vidhyamitra.com/city/ayodhya/2020-12-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T04:03:04.158Z","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":"2026-05-15T04:03:04.158Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T04:03:04.158Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}