{"id":"vidhyamitra:city-day:mathura:2012-12-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2012-12-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2012-12-03","date_display":"December 3, 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":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456264.770833,"kali_year":5114,"ahargana":1867799.2708,"sun":{"sidereal_longitude":226.7247,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":98.7392,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":232.0145,"elapsed_within_tithi_degrees":4.0145},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":98.7392,"elapsed_within_degrees":5.4059},"yoga":{"number":25,"name":"Brahma","sum_longitude":325.464},"karana":{"half_tithi_index":38,"name":"Kaulava"},"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":2012,"month":12,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2456264.770833,"ahargana":1867799.2708,"kali_year":5114,"ayanamsa_lahiri":24.0335,"grahas":{"sun":{"sidereal_longitude":227.23947999999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":95.47677999999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false,"latitude":-4.0345},"mars":{"sidereal_longitude":257.98458000000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":206.68888000000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":46.877880000000005,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":199.41617999999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":192.53297999999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":215.0062,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":35.0062,"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":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2456264.770833,"kali_year":5114,"ahargana":1867799.2708,"sun":{"sidereal_longitude":226.7247,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":98.7392,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":232.0145,"elapsed_within_tithi_degrees":4.0145},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":98.7392,"elapsed_within_degrees":5.4059},"yoga":{"number":25,"name":"Brahma","sum_longitude":325.464},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.035,"elongation":127.985},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.035,"opposition_distance":52.015}},"eclipse_window_40days":[{"offset_days":-19,"type":"solar","occurs":true,"moon_latitude":-0.609,"elongation":0.833}]},"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":"06:55","sunsetLocal":"17:25","solarNoonLocal":"12:10","dayLengthHours":10.509148315691057,"dayLengthDisplay":"10 Hours 30 Mins 33 Secs","nightLengthDisplay":"13 Hours 29 Mins 27 Secs","moonriseLocal":"20:36","moonsetLocal":"10:10","rahuKala":{"name":"Rāhu Kāla","start":"08:13","end":"09:32","startHours":8.224842266104886,"endHours":9.53848580556627,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:51","end":"12:10","startHours":10.852129345027652,"endHours":12.165772884489034,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:29","end":"14:48","startHours":13.479416423950415,"endHours":14.793059963411798,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:22","end":"09:43","startHours":9.363333333638085,"endHours":9.713638277494454,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:21","end":"07:38","startHours":7.349079906463966,"endHours":7.629323861549061,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:31","startHours":11.815467940632665,"endHours":12.516077828345402,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:31","end":"06:13","startHours":5.509978951218031,"endHours":6.210588838930768,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:02","end":"06:55","startHours":6.035436367002584,"endHours":6.911198726643505,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:37","startHours":13.917297603770876,"endHours":14.617907491483614,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:13","end":"17:37","startHours":17.220347042334563,"endHours":17.62034704233456,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:25","end":"17:51","startHours":17.420347042334562,"endHours":17.858228222155024,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:10","end":"18:55","startHours":17.170347042334562,"endHours":18.920347042334562,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:31","startHours":23.815467940632665,"endHours":24.516077828345402,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:55","end":"08:13","startHours":6.911198726643505,"endHours":8.224842266104886,"quality":"auspicious"},{"name":"Kāla","start":"08:13","end":"09:32","startHours":8.224842266104886,"endHours":9.53848580556627,"quality":"inauspicious"},{"name":"Śubha","start":"09:32","end":"10:51","startHours":9.53848580556627,"endHours":10.852129345027652,"quality":"auspicious"},{"name":"Roga","start":"10:51","end":"12:10","startHours":10.852129345027652,"endHours":12.165772884489034,"quality":"inauspicious"},{"name":"Udveg","start":"12:10","end":"13:29","startHours":12.165772884489034,"endHours":13.479416423950415,"quality":"inauspicious"},{"name":"Chala","start":"13:29","end":"14:48","startHours":13.479416423950415,"endHours":14.793059963411798,"quality":"neutral"},{"name":"Labha","start":"14:48","end":"16:06","startHours":14.793059963411798,"endHours":16.10670350287318,"quality":"auspicious"},{"name":"Amṛta","start":"16:06","end":"17:25","startHours":16.10670350287318,"endHours":17.420347042334562,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:25","end":"19:06","startHours":17.420347042334562,"endHours":19.10670350287318,"quality":"neutral"},{"name":"Labha","start":"19:06","end":"20:48","startHours":19.10670350287318,"endHours":20.7930599634118,"quality":"auspicious"},{"name":"Amṛta","start":"20:48","end":"22:29","startHours":20.7930599634118,"endHours":22.479416423950415,"quality":"auspicious"},{"name":"Kāla","start":"22:29","end":"00:10","startHours":22.479416423950415,"endHours":24.165772884489034,"quality":"inauspicious"},{"name":"Śubha","start":"00:10","end":"01:51","startHours":24.165772884489034,"endHours":25.852129345027652,"quality":"auspicious"},{"name":"Roga","start":"01:51","end":"03:32","startHours":25.852129345027652,"endHours":27.538485805566268,"quality":"inauspicious"},{"name":"Udveg","start":"03:32","end":"05:13","startHours":27.538485805566268,"endHours":29.224842266104886,"quality":"inauspicious"},{"name":"Chala","start":"05:13","end":"06:55","startHours":29.224842266104886,"endHours":30.911198726643505,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:55","end":"07:55","startHours":6.911198726643505,"endHours":7.911198726643505,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:55","end":"08:55","startHours":7.911198726643505,"endHours":8.911198726643505,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:55","end":"09:55","startHours":8.911198726643505,"endHours":9.911198726643505,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:55","end":"10:55","startHours":9.911198726643505,"endHours":10.911198726643505,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:55","end":"11:55","startHours":10.911198726643505,"endHours":11.911198726643505,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:55","end":"12:55","startHours":11.911198726643505,"endHours":12.911198726643505,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:55","end":"13:55","startHours":12.911198726643505,"endHours":13.911198726643505,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:55","end":"14:55","startHours":13.911198726643505,"endHours":14.911198726643505,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:55","end":"15:55","startHours":14.911198726643505,"endHours":15.911198726643505,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:55","end":"16:55","startHours":15.911198726643505,"endHours":16.911198726643505,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:55","end":"17:55","startHours":16.911198726643505,"endHours":17.911198726643505,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:55","end":"18:55","startHours":17.911198726643505,"endHours":18.911198726643505,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:55","end":"19:55","startHours":18.911198726643505,"endHours":19.911198726643505,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:55","end":"20:55","startHours":19.911198726643505,"endHours":20.911198726643505,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:55","end":"21:55","startHours":20.911198726643505,"endHours":21.911198726643505,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:55","end":"22:55","startHours":21.911198726643505,"endHours":22.911198726643505,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:55","end":"23:55","startHours":22.911198726643505,"endHours":23.911198726643505,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:55","end":"00:55","startHours":23.911198726643505,"endHours":24.911198726643505,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:55","end":"01:55","startHours":24.911198726643505,"endHours":25.911198726643505,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:55","end":"02:55","startHours":25.911198726643505,"endHours":26.911198726643505,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:55","end":"03:55","startHours":26.911198726643505,"endHours":27.911198726643505,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:55","end":"04:55","startHours":27.911198726643505,"endHours":28.911198726643505,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:55","end":"05:55","startHours":28.911198726643505,"endHours":29.911198726643505,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:55","end":"06:55","startHours":29.911198726643505,"endHours":30.911198726643505,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","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":-22.127943812420238,"eotMinutes":9.35882693065794,"ayanamsa":24.0335}},"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 Pañcamī · 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":"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 3, 2012 CE · Mathurā · Vidhyamitra","description":"December 3, 2012 CE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 06:55, sūryāsta 17:25.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2012-12-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2012-12-03","sa":"https://sa.vidhyamitra.com/city/mathura/2012-12-03","hi":"https://hi.vidhyamitra.com/city/mathura/2012-12-03","x-default":"https://vidhyamitra.com/city/mathura/2012-12-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:24:25.492Z","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":"2026-05-14T12:24:25.492Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:24:25.492Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}