{"id":"vidhyamitra:city-day:mathura:2104-12-30:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2104-12-30","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2104-12-30","date_display":"December 30, 2104 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":2104,"month":12,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489893.770833,"kali_year":5206,"ahargana":1901428.2708,"sun":{"sidereal_longitude":252.5681,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":52.2282,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":159.6601,"elapsed_within_tithi_degrees":3.6601},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":52.2282,"elapsed_within_degrees":12.2282},"yoga":{"number":23,"name":"Śubha","sum_longitude":304.7963},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":2104,"month":12,"day":30,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489893.770833,"ahargana":1901428.2708,"kali_year":5206,"ayanamsa_lahiri":25.3197,"grahas":{"sun":{"sidereal_longitude":253.08220500000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"moon":{"sidereal_longitude":50.83450499999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false,"latitude":0.0747},"mars":{"sidereal_longitude":255.24250500000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":239.13560500000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":303.879105,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":298.344605,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":232.149405,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":233.1799,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":53.1799,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"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":2104,"month":12,"day":30,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489893.770833,"kali_year":5206,"ahargana":1901428.2708,"sun":{"sidereal_longitude":252.5681,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":52.2282,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":159.6601,"elapsed_within_tithi_degrees":3.6601},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4,"moon_longitude":52.2282,"elapsed_within_degrees":12.2282},"yoga":{"number":23,"name":"Śubha","sum_longitude":304.7963},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.075,"elongation":159.66},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.075,"opposition_distance":20.34}},"eclipse_window_40days":[]},"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":10.42354516240484,"dayLengthDisplay":"10 Hours 25 Mins 25 Secs","nightLengthDisplay":"13 Hours 34 Mins 35 Secs","moonriseLocal":"16:00","moonsetLocal":"05:46","rahuKala":{"name":"Rāhu Kāla","start":"14:58","end":"16:17","startHours":14.97436119893908,"endHours":16.27730434423969,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:46","end":"11:04","startHours":9.762588617736661,"endHours":11.065531763037265,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:22","end":"13:40","startHours":12.36847490833787,"endHours":13.671418053638476,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:35","end":"09:56","startHours":9.588862865029913,"endHours":9.936314370443409,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.591016708902319,"endHours":7.868977913233115,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:01","end":"12:43","startHours":12.021023402924374,"endHours":12.715926413751365,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.766896305481472,"endHours":6.461799316308461,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:09","startHours":6.2880735636017135,"endHours":7.15670232713545,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:06","end":"14:48","startHours":14.105732435405343,"endHours":14.800635446232333,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:23","end":"17:47","startHours":17.38024748954029,"endHours":17.78024748954029,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:35","end":"18:01","startHours":17.58024748954029,"endHours":18.01456187130716,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:20","end":"19:05","startHours":17.33024748954029,"endHours":19.08024748954029,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:01","end":"00:43","startHours":24.021023402924374,"endHours":24.715926413751365,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"07:09","end":"08:28","startHours":7.15670232713545,"endHours":8.459645472436055,"quality":"inauspicious"},{"name":"Udveg","start":"08:28","end":"09:46","startHours":8.459645472436055,"endHours":9.762588617736661,"quality":"inauspicious"},{"name":"Chala","start":"09:46","end":"11:04","startHours":9.762588617736661,"endHours":11.065531763037265,"quality":"neutral"},{"name":"Labha","start":"11:04","end":"12:22","startHours":11.065531763037265,"endHours":12.36847490833787,"quality":"auspicious"},{"name":"Amṛta","start":"12:22","end":"13:40","startHours":12.36847490833787,"endHours":13.671418053638476,"quality":"auspicious"},{"name":"Kāla","start":"13:40","end":"14:58","startHours":13.671418053638476,"endHours":14.97436119893908,"quality":"inauspicious"},{"name":"Śubha","start":"14:58","end":"16:17","startHours":14.97436119893908,"endHours":16.27730434423969,"quality":"auspicious"},{"name":"Roga","start":"16:17","end":"17:35","startHours":16.27730434423969,"endHours":17.58024748954029,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"17:35","end":"19:17","startHours":17.58024748954029,"endHours":19.277304344239685,"quality":"inauspicious"},{"name":"Śubha","start":"19:17","end":"20:58","startHours":19.277304344239685,"endHours":20.974361198939082,"quality":"auspicious"},{"name":"Roga","start":"20:58","end":"22:40","startHours":20.974361198939082,"endHours":22.671418053638476,"quality":"inauspicious"},{"name":"Udveg","start":"22:40","end":"00:22","startHours":22.671418053638476,"endHours":24.36847490833787,"quality":"inauspicious"},{"name":"Chala","start":"00:22","end":"02:04","startHours":24.36847490833787,"endHours":26.065531763037264,"quality":"neutral"},{"name":"Labha","start":"02:04","end":"03:46","startHours":26.065531763037264,"endHours":27.76258861773666,"quality":"auspicious"},{"name":"Amṛta","start":"03:46","end":"05:28","startHours":27.76258861773666,"endHours":29.459645472436055,"quality":"auspicious"},{"name":"Kāla","start":"05:28","end":"07:09","startHours":29.459645472436055,"endHours":31.15670232713545,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:09","end":"08:09","startHours":7.15670232713545,"endHours":8.15670232713545,"planetary_lord":"Mars"},{"name":"Hora 2","start":"08:09","end":"09:09","startHours":8.15670232713545,"endHours":9.15670232713545,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"09:09","end":"10:09","startHours":9.15670232713545,"endHours":10.15670232713545,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"10:09","end":"11:09","startHours":10.15670232713545,"endHours":11.15670232713545,"planetary_lord":"Moon"},{"name":"Hora 5","start":"11:09","end":"12:09","startHours":11.15670232713545,"endHours":12.15670232713545,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"12:09","end":"13:09","startHours":12.15670232713545,"endHours":13.15670232713545,"planetary_lord":"Venus"},{"name":"Hora 7","start":"13:09","end":"14:09","startHours":13.15670232713545,"endHours":14.15670232713545,"planetary_lord":"Sun"},{"name":"Hora 8","start":"14:09","end":"15:09","startHours":14.15670232713545,"endHours":15.15670232713545,"planetary_lord":"Mars"},{"name":"Hora 9","start":"15:09","end":"16:09","startHours":15.15670232713545,"endHours":16.15670232713545,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"16:09","end":"17:09","startHours":16.15670232713545,"endHours":17.15670232713545,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"17:09","end":"18:09","startHours":17.15670232713545,"endHours":18.15670232713545,"planetary_lord":"Moon"},{"name":"Hora 12","start":"18:09","end":"19:09","startHours":18.15670232713545,"endHours":19.15670232713545,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"19:09","end":"20:09","startHours":19.15670232713545,"endHours":20.15670232713545,"planetary_lord":"Venus"},{"name":"Hora 14","start":"20:09","end":"21:09","startHours":20.15670232713545,"endHours":21.15670232713545,"planetary_lord":"Sun"},{"name":"Hora 15","start":"21:09","end":"22:09","startHours":21.15670232713545,"endHours":22.15670232713545,"planetary_lord":"Mars"},{"name":"Hora 16","start":"22:09","end":"23:09","startHours":22.15670232713545,"endHours":23.15670232713545,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"23:09","end":"00:09","startHours":23.15670232713545,"endHours":24.15670232713545,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"00:09","end":"01:09","startHours":24.15670232713545,"endHours":25.15670232713545,"planetary_lord":"Moon"},{"name":"Hora 19","start":"01:09","end":"02:09","startHours":25.15670232713545,"endHours":26.15670232713545,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"02:09","end":"03:09","startHours":26.15670232713545,"endHours":27.15670232713545,"planetary_lord":"Venus"},{"name":"Hora 21","start":"03:09","end":"04:09","startHours":27.15670232713545,"endHours":28.15670232713545,"planetary_lord":"Sun"},{"name":"Hora 22","start":"04:09","end":"05:09","startHours":28.15670232713545,"endHours":29.15670232713545,"planetary_lord":"Mars"},{"name":"Hora 23","start":"05:09","end":"06:09","startHours":29.15670232713545,"endHours":30.15670232713545,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"06:09","end":"07:09","startHours":30.15670232713545,"endHours":31.15670232713545,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"North (Uttara)","chandraVasa":"South-East","rahuVasa":"North","anandadiYoga":{"name":"Maitra","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":-23.170198825389004,"eotMinutes":-2.803294500272213,"ayanamsa":25.3197}},"calendars":{"vikram_samvat":2161,"vikram_samvatsara":"Īśvara","saka_samvat":2026,"saka_samvatsara":"Raktākṣī","bengali_samvat":1511,"malayalam_era":1280,"nanakshahi_year":635,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturdaśī · Vikram 2161 Īśvara · Śaka 2026 Raktākṣī"},"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":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Rohiṇī","url":"/day/-3226-07-09","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, 2104 CE · Mathurā · Vidhyamitra","description":"December 30, 2104 CE for Mathurā: Śukla Caturdaśī, sūryodaya 07:09, sūryāsta 17:35.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2104-12-30","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2104-12-30","sa":"https://sa.vidhyamitra.com/city/mathura/2104-12-30","hi":"https://hi.vidhyamitra.com/city/mathura/2104-12-30","x-default":"https://vidhyamitra.com/city/mathura/2104-12-30"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T19:35:51.246Z","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":"2026-05-14T19:35:51.246Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T19:35:51.246Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}