{"id":"vidhyamitra:city-day:agra:2012-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/agra/2012-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2012-12-20","date_display":"December 20, 2012 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":2012,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456281.770833,"kali_year":5114,"ahargana":1867816.2708,"sun":{"sidereal_longitude":244.1476,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":329.132,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":84.9844,"elapsed_within_tithi_degrees":0.9844},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":329.132,"elapsed_within_degrees":9.132},"yoga":{"number":16,"name":"Siddhi","sum_longitude":213.2797},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2012,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456281.770833,"ahargana":1867816.2708,"kali_year":5114,"ayanamsa_lahiri":24.0342,"grahas":{"sun":{"sidereal_longitude":244.51883099999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":332.44603099999995,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false,"latitude":4.0767},"mars":{"sidereal_longitude":271.153331,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":228.29493100000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":44.63863100000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":220.60853099999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":194.22713099999999,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":214.1054,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":34.1054,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":"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":2012,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456281.770833,"kali_year":5114,"ahargana":1867816.2708,"sun":{"sidereal_longitude":244.1476,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":329.132,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":84.9844,"elapsed_within_tithi_degrees":0.9844},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3,"moon_longitude":329.132,"elapsed_within_degrees":9.132},"yoga":{"number":16,"name":"Siddhi","sum_longitude":213.2797},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.077,"elongation":84.984},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.077,"opposition_distance":95.016}},"eclipse_window_40days":[]},"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":10.425320241403334,"dayLengthDisplay":"10 Hours 25 Mins 31 Secs","nightLengthDisplay":"13 Hours 34 Mins 29 Secs","moonriseLocal":"12:08","moonsetLocal":"00:08","rahuKala":{"name":"Rāhu Kāla","start":"13:34","end":"14:52","startHours":13.57175973813427,"endHours":14.874924768309686,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:03","end":"08:22","startHours":7.055934587257187,"endHours":8.359099617432603,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:40","end":"10:58","startHours":9.66226464760802,"endHours":10.965429677783437,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:50","startHours":9.488509310251299,"endHours":9.836019984964743,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:29","end":"07:46","startHours":7.4903229306489925,"endHours":7.768331470419748,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:37","startHours":11.92108403324541,"endHours":12.616105382672298,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:40","end":"06:22","startHours":5.665891888403409,"endHours":6.360913237830298,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:11","end":"07:03","startHours":6.187157900473576,"endHours":7.055934587257187,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:42","startHours":14.006148081526076,"endHours":14.701169430952966,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.281254828660522,"endHours":17.68125482866052,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:55","startHours":17.48125482866052,"endHours":17.915643172052327,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.23125482866052,"endHours":18.98125482866052,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:37","startHours":23.92108403324541,"endHours":24.6161053826723,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:03","end":"08:22","startHours":7.055934587257187,"endHours":8.359099617432603,"quality":"auspicious"},{"name":"Roga","start":"08:22","end":"09:40","startHours":8.359099617432603,"endHours":9.66226464760802,"quality":"inauspicious"},{"name":"Udveg","start":"09:40","end":"10:58","startHours":9.66226464760802,"endHours":10.965429677783437,"quality":"inauspicious"},{"name":"Chala","start":"10:58","end":"12:16","startHours":10.965429677783437,"endHours":12.268594707958854,"quality":"neutral"},{"name":"Labha","start":"12:16","end":"13:34","startHours":12.268594707958854,"endHours":13.57175973813427,"quality":"auspicious"},{"name":"Amṛta","start":"13:34","end":"14:52","startHours":13.57175973813427,"endHours":14.874924768309686,"quality":"auspicious"},{"name":"Kāla","start":"14:52","end":"16:11","startHours":14.874924768309686,"endHours":16.178089798485104,"quality":"inauspicious"},{"name":"Śubha","start":"16:11","end":"17:29","startHours":16.178089798485104,"endHours":17.48125482866052,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:29","end":"19:11","startHours":17.48125482866052,"endHours":19.178089798485104,"quality":"auspicious"},{"name":"Kāla","start":"19:11","end":"20:52","startHours":19.178089798485104,"endHours":20.87492476830969,"quality":"inauspicious"},{"name":"Śubha","start":"20:52","end":"22:34","startHours":20.87492476830969,"endHours":22.571759738134272,"quality":"auspicious"},{"name":"Roga","start":"22:34","end":"00:16","startHours":22.571759738134272,"endHours":24.268594707958854,"quality":"inauspicious"},{"name":"Udveg","start":"00:16","end":"01:58","startHours":24.268594707958854,"endHours":25.965429677783437,"quality":"inauspicious"},{"name":"Chala","start":"01:58","end":"03:40","startHours":25.965429677783437,"endHours":27.66226464760802,"quality":"neutral"},{"name":"Labha","start":"03:40","end":"05:22","startHours":27.66226464760802,"endHours":29.359099617432605,"quality":"auspicious"},{"name":"Amṛta","start":"05:22","end":"07:03","startHours":29.359099617432605,"endHours":31.055934587257187,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:03","end":"08:03","startHours":7.055934587257187,"endHours":8.055934587257187,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:03","end":"09:03","startHours":8.055934587257187,"endHours":9.055934587257187,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:03","end":"10:03","startHours":9.055934587257187,"endHours":10.055934587257187,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:03","end":"11:03","startHours":10.055934587257187,"endHours":11.055934587257187,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:03","end":"12:03","startHours":11.055934587257187,"endHours":12.055934587257187,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:03","end":"13:03","startHours":12.055934587257187,"endHours":13.055934587257187,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:03","end":"14:03","startHours":13.055934587257187,"endHours":14.055934587257187,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:03","end":"15:03","startHours":14.055934587257187,"endHours":15.055934587257187,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:03","end":"16:03","startHours":15.055934587257187,"endHours":16.055934587257187,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:03","end":"17:03","startHours":16.055934587257187,"endHours":17.055934587257187,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:03","end":"18:03","startHours":17.055934587257187,"endHours":18.055934587257187,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:03","end":"19:03","startHours":18.055934587257187,"endHours":19.055934587257187,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:03","end":"20:03","startHours":19.055934587257187,"endHours":20.055934587257187,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:03","end":"21:03","startHours":20.055934587257187,"endHours":21.055934587257187,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:03","end":"22:03","startHours":21.055934587257187,"endHours":22.055934587257187,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:03","end":"23:03","startHours":22.055934587257187,"endHours":23.055934587257187,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:03","end":"00:03","startHours":23.055934587257187,"endHours":24.055934587257187,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:03","end":"01:03","startHours":24.055934587257187,"endHours":25.055934587257187,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:03","end":"02:03","startHours":25.055934587257187,"endHours":26.055934587257187,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:03","end":"03:03","startHours":26.055934587257187,"endHours":27.055934587257187,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:03","end":"04:03","startHours":27.055934587257187,"endHours":28.055934587257187,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:03","end":"05:03","startHours":28.055934587257187,"endHours":29.055934587257187,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:03","end":"06:03","startHours":29.055934587257187,"endHours":30.055934587257187,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:03","end":"07:03","startHours":30.055934587257187,"endHours":31.055934587257187,"planetary_lord":"Moon"}],"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":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-West","rahuVasa":"North-West","anandadiYoga":{"name":"Mānasa","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-23.428580203595757,"eotMinutes":1.851917522468745,"ayanamsa":24.0342}},"calendars":{"vikram_samvat":2069,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1934,"saka_samvatsara":"Nandana","bengali_samvat":1419,"malayalam_era":1188,"nanakshahi_year":543,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Mārgaśīrṣa","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":"Mārgaśīrṣa Śukla Aṣṭamī · Vikram 2069 Viśvāvasu · Śaka 1934 Nandana"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5}]},"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, 2012 CE · Agra, Uttar Pradesh · Vidhyamitra","description":"December 20, 2012 CE for Agra, Uttar Pradesh: Śukla Aṣṭamī, sūryodaya 07:03, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/agra/2012-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/agra/2012-12-20","sa":"https://sa.vidhyamitra.com/city/agra/2012-12-20","hi":"https://hi.vidhyamitra.com/city/agra/2012-12-20","x-default":"https://vidhyamitra.com/city/agra/2012-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T04:52:41.580Z","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":"2026-06-01T04:52:41.580Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T04:52:41.580Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}