{"id":"vidhyamitra:city-day:agra:2002-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/agra/2002-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-12-20","date_display":"December 20, 2002 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":2002,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452628.770833,"kali_year":5104,"ahargana":1864163.2708,"sun":{"sidereal_longitude":243.7241,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":66.2547,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":182.5307,"elapsed_within_tithi_degrees":2.5307},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":66.2547,"elapsed_within_degrees":12.9214},"yoga":{"number":24,"name":"Śukla","sum_longitude":309.9788},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2002,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452628.770833,"ahargana":1864163.2708,"kali_year":5104,"ayanamsa_lahiri":23.8945,"grahas":{"sun":{"sidereal_longitude":244.074702,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":66.938602,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false,"latitude":1.4337},"mars":{"sidereal_longitude":197.95550200000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":262.67190200000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":113.71460200000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":199.298902,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":61.402401999999995,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":47.6589,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":227.6589,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":"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":2002,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452628.770833,"kali_year":5104,"ahargana":1864163.2708,"sun":{"sidereal_longitude":243.7241,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":66.2547,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":182.5307,"elapsed_within_tithi_degrees":2.5307},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4,"moon_longitude":66.2547,"elapsed_within_degrees":12.9214},"yoga":{"number":24,"name":"Śukla","sum_longitude":309.9788},"karana":{"half_tithi_index":30,"name":"Bālava"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.434,"elongation":177.469},"lunar":{"type":"lunar","occurs":true,"moon_latitude":1.434,"opposition_distance":2.531}},"eclipse_window_40days":[{"offset_days":-16,"type":"solar","occurs":true,"moon_latitude":0.273,"elongation":2.306},{"offset_days":0,"type":"lunar","occurs":true,"moon_latitude":1.434,"opposition_distance":2.531}]},"city":{"slug":"agra","name":"Agra, Uttar Pradesh","lat":27.1767,"lon":78.0081,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"agra","name":"Agra, Uttar Pradesh","lat":27.1767,"lon":78.0081,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"07:03","sunsetLocal":"17:29","solarNoonLocal":"12:16","dayLengthHours":10.42595001719777,"dayLengthDisplay":"10 Hours 25 Mins 33 Secs","nightLengthDisplay":"13 Hours 34 Mins 27 Secs","moonriseLocal":"17:33","moonsetLocal":"07:22","rahuKala":{"name":"Rāhu Kāla","start":"10:58","end":"12:16","startHours":10.965350955809134,"endHours":12.268594707958854,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:53","end":"16:11","startHours":14.875082212258299,"endHours":16.178325964408018,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:22","end":"09:40","startHours":8.358863451509691,"endHours":9.662107203659414,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:50","startHours":9.48834137003945,"endHours":9.835873037279375,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:29","end":"07:46","startHours":7.490034283409877,"endHours":7.768059617201818,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:37","startHours":11.921063040718929,"endHours":12.61612637519878,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:40","end":"06:22","startHours":5.665493030400267,"endHours":6.360556364880119,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:11","end":"07:03","startHours":6.186790531260156,"endHours":7.05561969935997,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:42","startHours":14.006253044158484,"endHours":14.701316378638335,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.28156971655774,"endHours":17.68156971655774,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.48156971655774,"endHours":17.915984300607647,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.23156971655774,"endHours":18.98156971655774,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:37","startHours":23.921063040718927,"endHours":24.61612637519878,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:03","end":"08:22","startHours":7.05561969935997,"endHours":8.358863451509691,"quality":"neutral"},{"name":"Labha","start":"08:22","end":"09:40","startHours":8.358863451509691,"endHours":9.662107203659414,"quality":"auspicious"},{"name":"Amṛta","start":"09:40","end":"10:58","startHours":9.662107203659414,"endHours":10.965350955809134,"quality":"auspicious"},{"name":"Kāla","start":"10:58","end":"12:16","startHours":10.965350955809134,"endHours":12.268594707958854,"quality":"inauspicious"},{"name":"Śubha","start":"12:16","end":"13:34","startHours":12.268594707958854,"endHours":13.571838460108577,"quality":"auspicious"},{"name":"Roga","start":"13:34","end":"14:53","startHours":13.571838460108577,"endHours":14.875082212258299,"quality":"inauspicious"},{"name":"Udveg","start":"14:53","end":"16:11","startHours":14.875082212258299,"endHours":16.178325964408018,"quality":"inauspicious"},{"name":"Chala","start":"16:11","end":"17:29","startHours":16.178325964408018,"endHours":17.48156971655774,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"17:29","end":"19:11","startHours":17.48156971655774,"endHours":19.178325964408018,"quality":"inauspicious"},{"name":"Udveg","start":"19:11","end":"20:53","startHours":19.178325964408018,"endHours":20.8750822122583,"quality":"inauspicious"},{"name":"Chala","start":"20:53","end":"22:34","startHours":20.8750822122583,"endHours":22.571838460108577,"quality":"neutral"},{"name":"Labha","start":"22:34","end":"00:16","startHours":22.571838460108577,"endHours":24.268594707958854,"quality":"auspicious"},{"name":"Amṛta","start":"00:16","end":"01:58","startHours":24.268594707958854,"endHours":25.965350955809132,"quality":"auspicious"},{"name":"Kāla","start":"01:58","end":"03:40","startHours":25.965350955809132,"endHours":27.66210720365941,"quality":"inauspicious"},{"name":"Śubha","start":"03:40","end":"05:22","startHours":27.66210720365941,"endHours":29.35886345150969,"quality":"auspicious"},{"name":"Roga","start":"05:22","end":"07:03","startHours":29.35886345150969,"endHours":31.05561969935997,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:03","end":"08:03","startHours":7.05561969935997,"endHours":8.05561969935997,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:03","end":"09:03","startHours":8.05561969935997,"endHours":9.05561969935997,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:03","end":"10:03","startHours":9.05561969935997,"endHours":10.05561969935997,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:03","end":"11:03","startHours":10.05561969935997,"endHours":11.05561969935997,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:03","end":"12:03","startHours":11.05561969935997,"endHours":12.05561969935997,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:03","end":"13:03","startHours":12.05561969935997,"endHours":13.05561969935997,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:03","end":"14:03","startHours":13.05561969935997,"endHours":14.05561969935997,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:03","end":"15:03","startHours":14.05561969935997,"endHours":15.05561969935997,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:03","end":"16:03","startHours":15.05561969935997,"endHours":16.05561969935997,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:03","end":"17:03","startHours":16.05561969935997,"endHours":17.05561969935997,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:03","end":"18:03","startHours":17.05561969935997,"endHours":18.05561969935997,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:03","end":"19:03","startHours":18.05561969935997,"endHours":19.05561969935997,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:03","end":"20:03","startHours":19.05561969935997,"endHours":20.05561969935997,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:03","end":"21:03","startHours":20.05561969935997,"endHours":21.05561969935997,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:03","end":"22:03","startHours":21.05561969935997,"endHours":22.05561969935997,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:03","end":"23:03","startHours":22.05561969935997,"endHours":23.05561969935997,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:03","end":"00:03","startHours":23.05561969935997,"endHours":24.05561969935997,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:03","end":"01:03","startHours":24.05561969935997,"endHours":25.05561969935997,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:03","end":"02:03","startHours":25.05561969935997,"endHours":26.05561969935997,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:03","end":"03:03","startHours":26.05561969935997,"endHours":27.05561969935997,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:03","end":"04:03","startHours":27.05561969935997,"endHours":28.05561969935997,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:03","end":"05:03","startHours":28.05561969935997,"endHours":29.05561969935997,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:03","end":"06:03","startHours":29.05561969935997,"endHours":30.05561969935997,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:03","end":"07:03","startHours":30.05561969935997,"endHours":31.05561969935997,"planetary_lord":"Mars"}],"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":"West (Paścim)","chandraVasa":"South","rahuVasa":"South-East","anandadiYoga":{"name":"Rākṣasa","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.420901098298852,"eotMinutes":1.851917522468745,"ayanamsa":23.8945}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Mārgaśīrṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pratipada · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"agra"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 20, 2002 CE · Agra, Uttar Pradesh · Vidhyamitra","description":"December 20, 2002 CE for Agra, Uttar Pradesh: Kṛṣṇa Pratipada, sūryodaya 07:03, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/agra/2002-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/agra/2002-12-20","sa":"https://sa.vidhyamitra.com/city/agra/2002-12-20","hi":"https://hi.vidhyamitra.com/city/agra/2002-12-20","x-default":"https://vidhyamitra.com/city/agra/2002-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T19:31:09.323Z","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":"2026-06-01T19:31:09.323Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T19:31:09.323Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}