{"id":"vidhyamitra:city-day:mathura:1982-12-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1982-12-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1982-12-20","date_display":"December 20, 1982 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":1982,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2445323.770833,"kali_year":5084,"ahargana":1856858.2708,"sun":{"sidereal_longitude":243.9039,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":298.1699,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":54.266,"elapsed_within_tithi_degrees":6.266},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":298.1699,"elapsed_within_degrees":4.8365},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":182.0738},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":1982,"month":12,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2445323.770833,"ahargana":1856858.2708,"kali_year":5084,"ayanamsa_lahiri":23.6151,"grahas":{"sun":{"sidereal_longitude":244.20590700000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"moon":{"sidereal_longitude":294.45480699999996,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":-3.0935},"mars":{"sidereal_longitude":284.273007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":260.80270700000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":215.891207,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":255.676107,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":188.025707,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":74.713,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":254.713,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":1982,"month":12,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2445323.770833,"kali_year":5084,"ahargana":1856858.2708,"sun":{"sidereal_longitude":243.9039,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":298.1699,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":54.266,"elapsed_within_tithi_degrees":6.266},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":298.1699,"elapsed_within_degrees":4.8365},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":182.0738},"karana":{"half_tithi_index":9,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.093,"elongation":54.266},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.093,"opposition_distance":125.734}},"eclipse_window_40days":[{"offset_days":-5,"type":"solar","occurs":true,"moon_latitude":1.462,"elongation":2.771}]},"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"mathura","name":"Mathurā","lat":27.4924,"lon":77.6737,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:05","sunsetLocal":"17:30","solarNoonLocal":"12:17","dayLengthHours":10.40293045438542,"dayLengthDisplay":"10 Hours 24 Mins 11 Secs","nightLengthDisplay":"13 Hours 35 Mins 49 Secs","moonriseLocal":"10:09","moonsetLocal":"21:08","rahuKala":{"name":"Rāhu Kāla","start":"08:23","end":"09:41","startHours":8.389789120897657,"endHours":9.690155427695833,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:59","end":"12:17","startHours":10.99052173449401,"endHours":12.290888041292188,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:35","end":"14:53","startHours":13.591254348090366,"endHours":14.891620654888543,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:31","end":"09:52","startHours":9.516773253456076,"endHours":9.86353760193559,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:31","end":"07:48","startHours":7.522878249698871,"endHours":7.800289728482482,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:38","startHours":11.944123692812674,"endHours":12.637652389771702,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:24","startHours":5.7023654201814225,"endHours":6.39589411714045,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:13","end":"07:05","startHours":6.222511942900693,"endHours":7.089422814099478,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:43","startHours":14.024709783689758,"endHours":14.718238480648786,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:18","end":"17:42","startHours":17.2923532684849,"endHours":17.692353268484897,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:30","end":"17:56","startHours":17.492353268484898,"endHours":17.92580870408429,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:15","end":"19:00","startHours":17.242353268484898,"endHours":18.992353268484898,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:38","startHours":23.944123692812674,"endHours":24.637652389771702,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:05","end":"08:23","startHours":7.089422814099478,"endHours":8.389789120897657,"quality":"auspicious"},{"name":"Kāla","start":"08:23","end":"09:41","startHours":8.389789120897657,"endHours":9.690155427695833,"quality":"inauspicious"},{"name":"Śubha","start":"09:41","end":"10:59","startHours":9.690155427695833,"endHours":10.99052173449401,"quality":"auspicious"},{"name":"Roga","start":"10:59","end":"12:17","startHours":10.99052173449401,"endHours":12.290888041292188,"quality":"inauspicious"},{"name":"Udveg","start":"12:17","end":"13:35","startHours":12.290888041292188,"endHours":13.591254348090366,"quality":"inauspicious"},{"name":"Chala","start":"13:35","end":"14:53","startHours":13.591254348090366,"endHours":14.891620654888543,"quality":"neutral"},{"name":"Labha","start":"14:53","end":"16:12","startHours":14.891620654888543,"endHours":16.19198696168672,"quality":"auspicious"},{"name":"Amṛta","start":"16:12","end":"17:30","startHours":16.19198696168672,"endHours":17.492353268484898,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:30","end":"19:12","startHours":17.492353268484898,"endHours":19.19198696168672,"quality":"neutral"},{"name":"Labha","start":"19:12","end":"20:53","startHours":19.19198696168672,"endHours":20.89162065488854,"quality":"auspicious"},{"name":"Amṛta","start":"20:53","end":"22:35","startHours":20.89162065488854,"endHours":22.591254348090366,"quality":"auspicious"},{"name":"Kāla","start":"22:35","end":"00:17","startHours":22.591254348090366,"endHours":24.290888041292188,"quality":"inauspicious"},{"name":"Śubha","start":"00:17","end":"01:59","startHours":24.290888041292188,"endHours":25.99052173449401,"quality":"auspicious"},{"name":"Roga","start":"01:59","end":"03:41","startHours":25.99052173449401,"endHours":27.690155427695835,"quality":"inauspicious"},{"name":"Udveg","start":"03:41","end":"05:23","startHours":27.690155427695835,"endHours":29.389789120897657,"quality":"inauspicious"},{"name":"Chala","start":"05:23","end":"07:05","startHours":29.389789120897657,"endHours":31.08942281409948,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.089422814099478,"endHours":8.089422814099478,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.089422814099478,"endHours":9.089422814099478,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.089422814099478,"endHours":10.089422814099478,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.089422814099478,"endHours":11.089422814099478,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.089422814099478,"endHours":12.089422814099478,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.089422814099478,"endHours":13.089422814099478,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.089422814099478,"endHours":14.089422814099478,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.089422814099478,"endHours":15.089422814099478,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.089422814099478,"endHours":16.08942281409948,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.08942281409948,"endHours":17.08942281409948,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.08942281409948,"endHours":18.08942281409948,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.08942281409948,"endHours":19.08942281409948,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.08942281409948,"endHours":20.08942281409948,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.08942281409948,"endHours":21.08942281409948,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.08942281409948,"endHours":22.08942281409948,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.08942281409948,"endHours":23.08942281409948,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.08942281409948,"endHours":24.08942281409948,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.08942281409948,"endHours":25.08942281409948,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.08942281409948,"endHours":26.08942281409948,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.08942281409948,"endHours":27.08942281409948,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.08942281409948,"endHours":28.08942281409948,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.08942281409948,"endHours":29.08942281409948,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.08942281409948,"endHours":30.08942281409948,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.08942281409948,"endHours":31.08942281409948,"planetary_lord":"Venus"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.418541854524495,"eotMinutes":1.851917522468745,"ayanamsa":23.6151}},"calendars":{"vikram_samvat":2039,"vikram_samvatsara":"Yuva","saka_samvat":1904,"saka_samvatsara":"Dundubhi","bengali_samvat":1389,"malayalam_era":1158,"nanakshahi_year":513,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Pañcamī · Vikram 2039 Yuva · Śaka 1904 Dundubhi"},"festivals":[{"id":"lohri","name":"Lohri","name_sanskrit":"लोहड़ी","tradition":"Regional","significance":"Punjab harvest festival; eve of Makara Saṅkrānti. (Approximated as 13/14 January annually; correct via Sun in Dhanu/Makara cusp.)","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":4},{"id":"dhanu-sankranti","name":"Dhanu Saṅkrānti","name_sanskrit":"धनु सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Sagittarius; Dhanu-māsa (Khara-māsa).","vrata":false,"detection":{"sun_rashi":"Dhanu"},"precedence":5}],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"mathura"},"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, 1982 CE · Mathurā · Vidhyamitra","description":"December 20, 1982 CE for Mathurā: Śukla Pañcamī, sūryodaya 07:05, sūryāsta 17:30.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1982-12-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1982-12-20","sa":"https://sa.vidhyamitra.com/city/mathura/1982-12-20","hi":"https://hi.vidhyamitra.com/city/mathura/1982-12-20","x-default":"https://vidhyamitra.com/city/mathura/1982-12-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:33:32.858Z","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":"2026-05-14T16:33:32.858Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:33:32.858Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}