{"id":"vidhyamitra:city-day:noida:2011-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/noida/2011-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2011-12-13","date_display":"December 13, 2011 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":2011,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455908.770833,"kali_year":5113,"ahargana":1867443.2708,"sun":{"sidereal_longitude":236.2036,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":85.3667,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":209.1631,"elapsed_within_tithi_degrees":5.1631},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":85.3667,"elapsed_within_degrees":5.3667},"yoga":{"number":25,"name":"Brahma","sum_longitude":321.5702},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2011,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2455908.770833,"ahargana":1867443.2708,"kali_year":5113,"ayanamsa_lahiri":24.0199,"grahas":{"sun":{"sidereal_longitude":236.63928199999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":84.745882,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false,"latitude":-2.3493},"mars":{"sidereal_longitude":139.987882,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":219.66418199999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":6.483782000000019,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":266.281482,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":182.563082,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":233.8687,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":53.8687,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2011,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2455908.770833,"kali_year":5113,"ahargana":1867443.2708,"sun":{"sidereal_longitude":236.2036,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":85.3667,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":209.1631,"elapsed_within_tithi_degrees":5.1631},"nakshatra":{"number":7,"name":"Punarvasu","pada":2,"moon_longitude":85.3667,"elapsed_within_degrees":5.3667},"yoga":{"number":25,"name":"Brahma","sum_longitude":321.5702},"karana":{"half_tithi_index":34,"name":"Vaṇija"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.349,"elongation":150.837},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.349,"opposition_distance":29.163}},"eclipse_window_40days":[{"offset_days":-18,"type":"solar","occurs":true,"moon_latitude":-1.467,"elongation":2.03}]},"city":{"slug":"noida","name":"Noida, Uttar Pradesh","lat":28.5355,"lon":77.391,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"noida","name":"Noida, Uttar Pradesh","lat":28.5355,"lon":77.391,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tier-1"},"sunriseLocal":"07:05","sunsetLocal":"17:26","solarNoonLocal":"12:15","dayLengthHours":10.352217467576425,"dayLengthDisplay":"10 Hours 21 Mins 08 Secs","nightLengthDisplay":"13 Hours 38 Mins 52 Secs","moonriseLocal":"19:14","moonsetLocal":"09:02","rahuKala":{"name":"Rāhu Kāla","start":"14:51","end":"16:08","startHours":14.843810196070471,"endHours":16.137837379517524,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:40","end":"10:58","startHours":9.667701462282258,"endHours":10.961728645729313,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:15","end":"13:33","startHours":12.255755829176366,"endHours":13.549783012623418,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:50","startHours":9.495164504489317,"endHours":9.840238420075199,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:31","end":"07:47","startHours":7.510989489870503,"endHours":7.787048622339207,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:36","startHours":11.910681913590484,"endHours":12.600829744762244,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:23","startHours":5.699351433044629,"endHours":6.38949926421639,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:05","startHours":6.21696230642345,"endHours":7.079647095388152,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:40","startHours":13.981125407105768,"endHours":14.67127323827753,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.231864562964578,"endHours":17.631864562964576,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:52","startHours":17.431864562964577,"endHours":17.863206957446927,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.181864562964577,"endHours":18.931864562964577,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:36","startHours":23.910681913590484,"endHours":24.600829744762247,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:05","end":"08:22","startHours":7.079647095388152,"endHours":8.373674278835205,"quality":"inauspicious"},{"name":"Udveg","start":"08:22","end":"09:40","startHours":8.373674278835205,"endHours":9.667701462282258,"quality":"inauspicious"},{"name":"Chala","start":"09:40","end":"10:58","startHours":9.667701462282258,"endHours":10.961728645729313,"quality":"neutral"},{"name":"Labha","start":"10:58","end":"12:15","startHours":10.961728645729313,"endHours":12.255755829176366,"quality":"auspicious"},{"name":"Amṛta","start":"12:15","end":"13:33","startHours":12.255755829176366,"endHours":13.549783012623418,"quality":"auspicious"},{"name":"Kāla","start":"13:33","end":"14:51","startHours":13.549783012623418,"endHours":14.843810196070471,"quality":"inauspicious"},{"name":"Śubha","start":"14:51","end":"16:08","startHours":14.843810196070471,"endHours":16.137837379517524,"quality":"auspicious"},{"name":"Roga","start":"16:08","end":"17:26","startHours":16.137837379517524,"endHours":17.431864562964577,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:26","end":"19:08","startHours":17.431864562964577,"endHours":19.137837379517524,"quality":"inauspicious"},{"name":"Śubha","start":"19:08","end":"20:51","startHours":19.137837379517524,"endHours":20.84381019607047,"quality":"auspicious"},{"name":"Roga","start":"20:51","end":"22:33","startHours":20.84381019607047,"endHours":22.54978301262342,"quality":"inauspicious"},{"name":"Udveg","start":"22:33","end":"00:15","startHours":22.54978301262342,"endHours":24.255755829176366,"quality":"inauspicious"},{"name":"Chala","start":"00:15","end":"01:58","startHours":24.255755829176366,"endHours":25.96172864572931,"quality":"neutral"},{"name":"Labha","start":"01:58","end":"03:40","startHours":25.96172864572931,"endHours":27.66770146228226,"quality":"auspicious"},{"name":"Amṛta","start":"03:40","end":"05:22","startHours":27.66770146228226,"endHours":29.373674278835203,"quality":"auspicious"},{"name":"Kāla","start":"05:22","end":"07:05","startHours":29.373674278835203,"endHours":31.079647095388154,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.079647095388152,"endHours":8.079647095388152,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.079647095388152,"endHours":9.079647095388152,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.079647095388152,"endHours":10.079647095388152,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.079647095388152,"endHours":11.079647095388152,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.079647095388152,"endHours":12.079647095388152,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.079647095388152,"endHours":13.079647095388152,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.079647095388152,"endHours":14.079647095388152,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.079647095388152,"endHours":15.079647095388152,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.079647095388152,"endHours":16.079647095388154,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.079647095388154,"endHours":17.079647095388154,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.079647095388154,"endHours":18.079647095388154,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.079647095388154,"endHours":19.079647095388154,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.079647095388154,"endHours":20.079647095388154,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.079647095388154,"endHours":21.079647095388154,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.079647095388154,"endHours":22.079647095388154,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.079647095388154,"endHours":23.079647095388154,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.079647095388154,"endHours":24.079647095388154,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.079647095388154,"endHours":25.079647095388154,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.079647095388154,"endHours":26.079647095388154,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.079647095388154,"endHours":27.079647095388154,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.079647095388154,"endHours":28.079647095388154,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.079647095388154,"endHours":29.079647095388154,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.079647095388154,"endHours":30.079647095388154,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.079647095388154,"endHours":31.079647095388154,"planetary_lord":"Saturn"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.107571363073845,"eotMinutes":5.090650249418121,"ayanamsa":24.0199}},"calendars":{"vikram_samvat":2068,"vikram_samvatsara":"Krodhi","saka_samvat":1933,"saka_samvatsara":"Khara","bengali_samvat":1418,"malayalam_era":1187,"nanakshahi_year":542,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Tṛtīyā · Vikram 2068 Krodhi · Śaka 1933 Khara"},"festivals":[{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Punarvasu","url":"/day/-1626101-04-03","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"noida"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 13, 2011 CE · Noida, Uttar Pradesh · Vidhyamitra","description":"December 13, 2011 CE for Noida, Uttar Pradesh: Kṛṣṇa Tṛtīyā, sūryodaya 07:05, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/noida/2011-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/noida/2011-12-13","sa":"https://sa.vidhyamitra.com/city/noida/2011-12-13","hi":"https://hi.vidhyamitra.com/city/noida/2011-12-13","x-default":"https://vidhyamitra.com/city/noida/2011-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T17:35:09.568Z","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":"2026-05-15T17:35:09.569Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T17:35:09.569Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}