{"id":"vidhyamitra:city-day:noida:2012-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/noida/2012-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2012-12-13","date_display":"December 13, 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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456274.770833,"kali_year":5114,"ahargana":1867809.2708,"sun":{"sidereal_longitude":236.9636,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":232.8238,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":355.8602,"elapsed_within_tithi_degrees":7.8602},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2,"moon_longitude":232.8238,"elapsed_within_degrees":6.1571},"yoga":{"number":9,"name":"Śūla","sum_longitude":109.7874},"karana":{"half_tithi_index":59,"name":"Nāga"},"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":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456274.770833,"ahargana":1867809.2708,"kali_year":5114,"ayanamsa_lahiri":24.0339,"grahas":{"sun":{"sidereal_longitude":237.39569800000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":232.85859800000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false,"latitude":1.4152},"mars":{"sidereal_longitude":265.70809800000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":218.30599800000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":45.52669800000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":211.86849800000005,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":193.56139800000005,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":214.4763,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":34.4763,"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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456274.770833,"kali_year":5114,"ahargana":1867809.2708,"sun":{"sidereal_longitude":236.9636,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":232.8238,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":355.8602,"elapsed_within_tithi_degrees":7.8602},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2,"moon_longitude":232.8238,"elapsed_within_degrees":6.1571},"yoga":{"number":9,"name":"Śūla","sum_longitude":109.7874},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.415,"elongation":4.14},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.415,"opposition_distance":175.86}},"eclipse_window_40days":[]},"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":10.347719037437994,"dayLengthDisplay":"10 Hours 20 Mins 52 Secs","nightLengthDisplay":"13 Hours 39 Mins 08 Secs","moonriseLocal":"06:47","moonsetLocal":"17:07","rahuKala":{"name":"Rāhu Kāla","start":"13:33","end":"14:51","startHours":13.549220708856112,"endHours":14.842685588535861,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:05","end":"08:23","startHours":7.081896310457366,"endHours":8.375361190137115,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:40","end":"10:58","startHours":9.668826069816864,"endHours":10.962290949496614,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:50","startHours":9.496364085859565,"endHours":9.841288053774164,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:31","end":"07:47","startHours":7.513051270350616,"endHours":7.7889904446822955,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:36","startHours":11.910831861261764,"endHours":12.600679797090963,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:24","startHours":5.702200438798966,"endHours":6.392048374628167,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:05","startHours":6.219586390670867,"endHours":7.081896310457366,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:59","end":"14:40","startHours":13.98037566874936,"endHours":14.67022360457856,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:14","end":"17:38","startHours":17.22961534789536,"endHours":17.62961534789536,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:26","end":"17:52","startHours":17.42961534789536,"endHours":17.86077030778861,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:11","end":"18:56","startHours":17.17961534789536,"endHours":18.92961534789536,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:36","startHours":23.910831861261766,"endHours":24.600679797090965,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:05","end":"08:23","startHours":7.081896310457366,"endHours":8.375361190137115,"quality":"auspicious"},{"name":"Roga","start":"08:23","end":"09:40","startHours":8.375361190137115,"endHours":9.668826069816864,"quality":"inauspicious"},{"name":"Udveg","start":"09:40","end":"10:58","startHours":9.668826069816864,"endHours":10.962290949496614,"quality":"inauspicious"},{"name":"Chala","start":"10:58","end":"12:15","startHours":10.962290949496614,"endHours":12.255755829176362,"quality":"neutral"},{"name":"Labha","start":"12:15","end":"13:33","startHours":12.255755829176362,"endHours":13.549220708856112,"quality":"auspicious"},{"name":"Amṛta","start":"13:33","end":"14:51","startHours":13.549220708856112,"endHours":14.842685588535861,"quality":"auspicious"},{"name":"Kāla","start":"14:51","end":"16:08","startHours":14.842685588535861,"endHours":16.13615046821561,"quality":"inauspicious"},{"name":"Śubha","start":"16:08","end":"17:26","startHours":16.13615046821561,"endHours":17.42961534789536,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:26","end":"19:08","startHours":17.42961534789536,"endHours":19.13615046821561,"quality":"auspicious"},{"name":"Kāla","start":"19:08","end":"20:51","startHours":19.13615046821561,"endHours":20.84268558853586,"quality":"inauspicious"},{"name":"Śubha","start":"20:51","end":"22:33","startHours":20.84268558853586,"endHours":22.54922070885611,"quality":"auspicious"},{"name":"Roga","start":"22:33","end":"00:15","startHours":22.54922070885611,"endHours":24.255755829176366,"quality":"inauspicious"},{"name":"Udveg","start":"00:15","end":"01:58","startHours":24.255755829176366,"endHours":25.962290949496612,"quality":"inauspicious"},{"name":"Chala","start":"01:58","end":"03:40","startHours":25.962290949496612,"endHours":27.668826069816866,"quality":"neutral"},{"name":"Labha","start":"03:40","end":"05:23","startHours":27.668826069816866,"endHours":29.375361190137117,"quality":"auspicious"},{"name":"Amṛta","start":"05:23","end":"07:05","startHours":29.375361190137117,"endHours":31.081896310457367,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.081896310457366,"endHours":8.081896310457367,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.081896310457367,"endHours":9.081896310457367,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.081896310457367,"endHours":10.081896310457367,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.081896310457367,"endHours":11.081896310457367,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.081896310457367,"endHours":12.081896310457367,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.081896310457367,"endHours":13.081896310457367,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.081896310457367,"endHours":14.081896310457367,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.081896310457367,"endHours":15.081896310457367,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.081896310457367,"endHours":16.081896310457367,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.081896310457367,"endHours":17.081896310457367,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.081896310457367,"endHours":18.081896310457367,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.081896310457367,"endHours":19.081896310457367,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.081896310457367,"endHours":20.081896310457367,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.081896310457367,"endHours":21.081896310457367,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.081896310457367,"endHours":22.081896310457367,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.081896310457367,"endHours":23.081896310457367,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.081896310457367,"endHours":24.081896310457367,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.081896310457367,"endHours":25.081896310457367,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.081896310457367,"endHours":26.081896310457367,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.081896310457367,"endHours":27.081896310457367,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.081896310457367,"endHours":28.081896310457367,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.081896310457367,"endHours":29.081896310457367,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.081896310457367,"endHours":30.081896310457367,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.081896310457367,"endHours":31.081896310457367,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-East","rahuVasa":"North-West","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"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":-23.159441888130512,"eotMinutes":5.090650249418121,"ayanamsa":24.0339}},"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 Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Amāvasyā · Vikram 2069 Viśvāvasu · Śaka 1934 Nandana"},"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":"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":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā + Jyeṣṭhā","url":"/day/-3137-10-20","relevance":1}]},"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, 2012 CE · Noida, Uttar Pradesh · Vidhyamitra","description":"December 13, 2012 CE for Noida, Uttar Pradesh: Kṛṣṇa Amāvasyā, sūryodaya 07:05, sūryāsta 17:26.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/noida/2012-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/noida/2012-12-13","sa":"https://sa.vidhyamitra.com/city/noida/2012-12-13","hi":"https://hi.vidhyamitra.com/city/noida/2012-12-13","x-default":"https://vidhyamitra.com/city/noida/2012-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T15:20:07.905Z","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":"2026-05-15T15:20:07.905Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T15:20:07.905Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}