{"id":"vidhyamitra:city-day:varanasi:1990-12-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/varanasi/1990-12-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1990-12-13","date_display":"December 13, 1990 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":1990,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2448238.770833,"kali_year":5092,"ahargana":1859773.2708,"sun":{"sidereal_longitude":236.6484,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":189.5921,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":312.9437,"elapsed_within_tithi_degrees":0.9437},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":189.5921,"elapsed_within_degrees":2.9254},"yoga":{"number":5,"name":"Śobhana","sum_longitude":66.2405},"karana":{"half_tithi_index":52,"name":"Kaulava"},"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":1990,"month":12,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2448238.770833,"ahargana":1859773.2708,"kali_year":5092,"ayanamsa_lahiri":23.7265,"grahas":{"sun":{"sidereal_longitude":237.03063299999997,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":192.11683300000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":-4.4997},"mars":{"sidereal_longitude":36.762733000000026,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":256.28343300000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":109.50653299999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":247.35803299999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":269.646333,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":280.2623,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":100.2623,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":1990,"month":12,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2448238.770833,"kali_year":5092,"ahargana":1859773.2708,"sun":{"sidereal_longitude":236.6484,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":189.5921,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":312.9437,"elapsed_within_tithi_degrees":0.9437},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":189.5921,"elapsed_within_degrees":2.9254},"yoga":{"number":5,"name":"Śobhana","sum_longitude":66.2405},"karana":{"half_tithi_index":52,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.5,"elongation":47.056},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.5,"opposition_distance":132.944}},"eclipse_window_40days":[]},"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"varanasi","name":"Vārāṇasī (Kāśī)","lat":25.3176,"lon":82.9739,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"06:36","sunsetLocal":"17:11","solarNoonLocal":"11:53","dayLengthHours":10.5828912893394,"dayLengthDisplay":"10 Hours 34 Mins 58 Secs","nightLengthDisplay":"13 Hours 25 Mins 02 Secs","moonriseLocal":"03:17","moonsetLocal":"14:30","rahuKala":{"name":"Rāhu Kāla","start":"13:12","end":"14:32","startHours":13.206423907010453,"endHours":14.52928531817788,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:36","end":"07:55","startHours":6.592116851173329,"endHours":7.914978262340754,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:14","end":"10:34","startHours":9.23783967350818,"endHours":10.560701084675603,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:04","end":"09:25","startHours":9.061458152019188,"endHours":9.414221194997168,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:02","end":"07:19","startHours":7.033070654895804,"endHours":7.315281089278188,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:32","end":"12:14","startHours":11.53079945286505,"endHours":12.23632553882101,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:11","end":"05:53","startHours":5.181064679261409,"endHours":5.886590765217369,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:43","end":"06:36","startHours":5.710209243728379,"endHours":6.592116851173329,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:39","end":"14:21","startHours":13.647377710732929,"endHours":14.352903796688889,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"16:59","end":"17:23","startHours":16.97500814051273,"endHours":17.37500814051273,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:11","end":"17:37","startHours":17.17500814051273,"endHours":17.615961944235206,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"16:56","end":"18:41","startHours":16.92500814051273,"endHours":18.67500814051273,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:32","end":"00:14","startHours":23.53079945286505,"endHours":24.23632553882101,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:36","end":"07:55","startHours":6.592116851173329,"endHours":7.914978262340754,"quality":"auspicious"},{"name":"Roga","start":"07:55","end":"09:14","startHours":7.914978262340754,"endHours":9.23783967350818,"quality":"inauspicious"},{"name":"Udveg","start":"09:14","end":"10:34","startHours":9.23783967350818,"endHours":10.560701084675603,"quality":"inauspicious"},{"name":"Chala","start":"10:34","end":"11:53","startHours":10.560701084675603,"endHours":11.88356249584303,"quality":"neutral"},{"name":"Labha","start":"11:53","end":"13:12","startHours":11.88356249584303,"endHours":13.206423907010453,"quality":"auspicious"},{"name":"Amṛta","start":"13:12","end":"14:32","startHours":13.206423907010453,"endHours":14.52928531817788,"quality":"auspicious"},{"name":"Kāla","start":"14:32","end":"15:51","startHours":14.52928531817788,"endHours":15.852146729345304,"quality":"inauspicious"},{"name":"Śubha","start":"15:51","end":"17:11","startHours":15.852146729345304,"endHours":17.17500814051273,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:11","end":"18:51","startHours":17.17500814051273,"endHours":18.852146729345307,"quality":"auspicious"},{"name":"Kāla","start":"18:51","end":"20:32","startHours":18.852146729345307,"endHours":20.52928531817788,"quality":"inauspicious"},{"name":"Śubha","start":"20:32","end":"22:12","startHours":20.52928531817788,"endHours":22.206423907010453,"quality":"auspicious"},{"name":"Roga","start":"22:12","end":"23:53","startHours":22.206423907010453,"endHours":23.88356249584303,"quality":"inauspicious"},{"name":"Udveg","start":"23:53","end":"01:34","startHours":23.88356249584303,"endHours":25.560701084675607,"quality":"inauspicious"},{"name":"Chala","start":"01:34","end":"03:14","startHours":25.560701084675607,"endHours":27.23783967350818,"quality":"neutral"},{"name":"Labha","start":"03:14","end":"04:55","startHours":27.23783967350818,"endHours":28.914978262340753,"quality":"auspicious"},{"name":"Amṛta","start":"04:55","end":"06:36","startHours":28.914978262340753,"endHours":30.59211685117333,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:36","end":"07:36","startHours":6.592116851173329,"endHours":7.592116851173329,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:36","end":"08:36","startHours":7.592116851173329,"endHours":8.59211685117333,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:36","end":"09:36","startHours":8.59211685117333,"endHours":9.59211685117333,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:36","end":"10:36","startHours":9.59211685117333,"endHours":10.59211685117333,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:36","end":"11:36","startHours":10.59211685117333,"endHours":11.59211685117333,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:36","end":"12:36","startHours":11.59211685117333,"endHours":12.59211685117333,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:36","end":"13:36","startHours":12.59211685117333,"endHours":13.59211685117333,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:36","end":"14:36","startHours":13.59211685117333,"endHours":14.59211685117333,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:36","end":"15:36","startHours":14.59211685117333,"endHours":15.59211685117333,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:36","end":"16:36","startHours":15.59211685117333,"endHours":16.59211685117333,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:36","end":"17:36","startHours":16.59211685117333,"endHours":17.59211685117333,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:36","end":"18:36","startHours":17.59211685117333,"endHours":18.59211685117333,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:36","end":"19:36","startHours":18.59211685117333,"endHours":19.59211685117333,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:36","end":"20:36","startHours":19.59211685117333,"endHours":20.59211685117333,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:36","end":"21:36","startHours":20.59211685117333,"endHours":21.59211685117333,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:36","end":"22:36","startHours":21.59211685117333,"endHours":22.59211685117333,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:36","end":"23:36","startHours":22.59211685117333,"endHours":23.59211685117333,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:36","end":"00:36","startHours":23.59211685117333,"endHours":24.59211685117333,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:36","end":"01:36","startHours":24.59211685117333,"endHours":25.59211685117333,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:36","end":"02:36","startHours":25.59211685117333,"endHours":26.59211685117333,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:36","end":"03:36","startHours":26.59211685117333,"endHours":27.59211685117333,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:36","end":"04:36","startHours":27.59211685117333,"endHours":28.59211685117333,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:36","end":"05:36","startHours":28.59211685117333,"endHours":29.59211685117333,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:36","end":"06:36","startHours":29.59211685117333,"endHours":30.59211685117333,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North","rahuVasa":"North-West","anandadiYoga":{"name":"Dhūmra","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":-23.11441056953724,"eotMinutes":5.090650249418121,"ayanamsa":23.7265}},"calendars":{"vikram_samvat":2047,"vikram_samvatsara":"Subhānu","saka_samvat":1912,"saka_samvatsara":"Pramoda","bengali_samvat":1397,"malayalam_era":1166,"nanakshahi_year":521,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Kṛṣṇa Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Kṛṣṇa Dvādaśī · Vikram 2047 Subhānu · Śaka 1912 Pramoda"},"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":[]},"validity":{"eternal":false,"location_specific":"varanasi"},"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, 1990 CE · Vārāṇasī (Kāśī) · Vidhyamitra","description":"December 13, 1990 CE for Vārāṇasī (Kāśī): Kṛṣṇa Dvādaśī, sūryodaya 06:36, sūryāsta 17:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/varanasi/1990-12-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/varanasi/1990-12-13","sa":"https://sa.vidhyamitra.com/city/varanasi/1990-12-13","hi":"https://hi.vidhyamitra.com/city/varanasi/1990-12-13","x-default":"https://vidhyamitra.com/city/varanasi/1990-12-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:57:01.751Z","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":"2026-05-14T14:57:01.751Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:57:01.751Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}