{"id":"vidhyamitra:city-day:mathura:2002-12-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2002-12-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2002-12-30","date_display":"December 30, 2002 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":2002,"month":12,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452638.770833,"kali_year":5104,"ahargana":1864173.2708,"sun":{"sidereal_longitude":254.0003,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":205.5795,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":311.5792,"elapsed_within_tithi_degrees":11.5792},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":205.5795,"elapsed_within_degrees":5.5795},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":99.5798},"karana":{"half_tithi_index":51,"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":2002,"month":12,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2452638.770833,"ahargana":1864173.2708,"kali_year":5104,"ayanamsa_lahiri":23.8948,"grahas":{"sun":{"sidereal_longitude":254.26152000000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":204.19871999999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false,"latitude":1.6514},"mars":{"sidereal_longitude":204.39481999999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":273.4433200000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":113.05722000000003,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":207.86662,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":60.58882,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":47.1291,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":227.1291,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":2002,"month":12,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2452638.770833,"kali_year":5104,"ahargana":1864173.2708,"sun":{"sidereal_longitude":254.0003,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":205.5795,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":311.5792,"elapsed_within_tithi_degrees":11.5792},"nakshatra":{"number":16,"name":"Viśākhā","pada":2,"moon_longitude":205.5795,"elapsed_within_degrees":5.5795},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":99.5798},"karana":{"half_tithi_index":51,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.651,"elongation":48.421},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.651,"opposition_distance":131.579}},"eclipse_window_40days":[{"offset_days":-10,"type":"lunar","occurs":true,"moon_latitude":1.434,"opposition_distance":2.531}]},"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":"07:09","sunsetLocal":"17:35","solarNoonLocal":"12:22","dayLengthHours":10.42227761003491,"dayLengthDisplay":"10 Hours 25 Mins 20 Secs","nightLengthDisplay":"13 Hours 34 Mins 40 Secs","moonriseLocal":"03:36","moonsetLocal":"14:28","rahuKala":{"name":"Rāhu Kāla","start":"08:28","end":"09:46","startHours":8.460120804574778,"endHours":9.762905505829142,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:04","end":"12:22","startHours":11.065690207083506,"endHours":12.36847490833787,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:40","end":"14:58","startHours":13.671259609592234,"endHours":14.974044310846597,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:35","end":"09:56","startHours":9.589200878995229,"endHours":9.93661013266306,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.5915976704052035,"endHours":7.869525073339468,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:43","startHours":12.02106565467004,"endHours":12.7158841620057,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.767699088649094,"endHours":6.462517595984755,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:09","startHours":6.28881296915084,"endHours":7.157336103320415,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:48","startHours":14.105521176677023,"endHours":14.800339684012684,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:23","end":"17:47","startHours":17.379613713355326,"endHours":17.779613713355324,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:35","end":"18:01","startHours":17.579613713355325,"endHours":18.013875280440114,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:20","end":"19:05","startHours":17.329613713355325,"endHours":19.079613713355325,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:43","startHours":24.02106565467004,"endHours":24.7158841620057,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:09","end":"08:28","startHours":7.157336103320415,"endHours":8.460120804574778,"quality":"auspicious"},{"name":"Kāla","start":"08:28","end":"09:46","startHours":8.460120804574778,"endHours":9.762905505829142,"quality":"inauspicious"},{"name":"Śubha","start":"09:46","end":"11:04","startHours":9.762905505829142,"endHours":11.065690207083506,"quality":"auspicious"},{"name":"Roga","start":"11:04","end":"12:22","startHours":11.065690207083506,"endHours":12.36847490833787,"quality":"inauspicious"},{"name":"Udveg","start":"12:22","end":"13:40","startHours":12.36847490833787,"endHours":13.671259609592234,"quality":"inauspicious"},{"name":"Chala","start":"13:40","end":"14:58","startHours":13.671259609592234,"endHours":14.974044310846597,"quality":"neutral"},{"name":"Labha","start":"14:58","end":"16:17","startHours":14.974044310846597,"endHours":16.27682901210096,"quality":"auspicious"},{"name":"Amṛta","start":"16:17","end":"17:35","startHours":16.27682901210096,"endHours":17.579613713355325,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:35","end":"19:17","startHours":17.579613713355325,"endHours":19.27682901210096,"quality":"neutral"},{"name":"Labha","start":"19:17","end":"20:58","startHours":19.27682901210096,"endHours":20.974044310846597,"quality":"auspicious"},{"name":"Amṛta","start":"20:58","end":"22:40","startHours":20.974044310846597,"endHours":22.671259609592234,"quality":"auspicious"},{"name":"Kāla","start":"22:40","end":"00:22","startHours":22.671259609592234,"endHours":24.36847490833787,"quality":"inauspicious"},{"name":"Śubha","start":"00:22","end":"02:04","startHours":24.36847490833787,"endHours":26.065690207083506,"quality":"auspicious"},{"name":"Roga","start":"02:04","end":"03:46","startHours":26.065690207083506,"endHours":27.762905505829142,"quality":"inauspicious"},{"name":"Udveg","start":"03:46","end":"05:28","startHours":27.762905505829142,"endHours":29.460120804574778,"quality":"inauspicious"},{"name":"Chala","start":"05:28","end":"07:09","startHours":29.460120804574778,"endHours":31.157336103320414,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.157336103320415,"endHours":8.157336103320414,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.157336103320414,"endHours":9.157336103320414,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.157336103320414,"endHours":10.157336103320414,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.157336103320414,"endHours":11.157336103320414,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.157336103320414,"endHours":12.157336103320414,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.157336103320414,"endHours":13.157336103320414,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.157336103320414,"endHours":14.157336103320414,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.157336103320414,"endHours":15.157336103320414,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.157336103320414,"endHours":16.157336103320414,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.157336103320414,"endHours":17.157336103320414,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.157336103320414,"endHours":18.157336103320414,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.157336103320414,"endHours":19.157336103320414,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.157336103320414,"endHours":20.157336103320414,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.157336103320414,"endHours":21.157336103320414,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.157336103320414,"endHours":22.157336103320414,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.157336103320414,"endHours":23.157336103320414,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.157336103320414,"endHours":24.157336103320414,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.157336103320414,"endHours":25.157336103320414,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.157336103320414,"endHours":26.157336103320414,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.157336103320414,"endHours":27.157336103320414,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.157336103320414,"endHours":28.157336103320414,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.157336103320414,"endHours":29.157336103320414,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.157336103320414,"endHours":30.157336103320414,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.157336103320414,"endHours":31.157336103320414,"planetary_lord":"Venus"}],"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","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.18549877273972,"eotMinutes":-2.803294500272213,"ayanamsa":23.8948}},"calendars":{"vikram_samvat":2059,"vikram_samvatsara":"Manmatha","saka_samvat":1924,"saka_samvatsara":"Citrabhānu","bengali_samvat":1409,"malayalam_era":1178,"nanakshahi_year":533,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Ekādaśī · Vikram 2059 Manmatha · Śaka 1924 Citrabhānu"},"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":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5},{"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":[{"historical_date":"-0562-04-11","event":"Bhagavān Buddha's birth at Lumbinī","chart_id":"buddha","shared_marker":"same Viśākhā","url":"/day/-0562-04-11","relevance":0.5}]},"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 30, 2002 CE · Mathurā · Vidhyamitra","description":"December 30, 2002 CE for Mathurā: Kṛṣṇa Ekādaśī, sūryodaya 07:09, sūryāsta 17:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2002-12-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2002-12-30","sa":"https://sa.vidhyamitra.com/city/mathura/2002-12-30","hi":"https://hi.vidhyamitra.com/city/mathura/2002-12-30","x-default":"https://vidhyamitra.com/city/mathura/2002-12-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:24:08.295Z","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":"2026-05-14T12:24:08.295Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:24:08.295Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}