{"id":"vidhyamitra:city-day:mathura:1900-12-17:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1900-12-17","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1900-12-17","date_display":"December 17, 1900 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":1900,"month":12,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415370.770833,"kali_year":5002,"ahargana":1826905.2708,"sun":{"sidereal_longitude":242.0742,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":184.5157,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":302.4415,"elapsed_within_tithi_degrees":2.4415},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.5157,"elapsed_within_degrees":11.1824},"yoga":{"number":5,"name":"Śobhana","sum_longitude":66.5899},"karana":{"half_tithi_index":50,"name":"Bava"},"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":1900,"month":12,"day":17,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2415370.770833,"ahargana":1826905.2708,"kali_year":5002,"ayanamsa_lahiri":22.4695,"grahas":{"sun":{"sidereal_longitude":242.198532,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"moon":{"sidereal_longitude":185.808632,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false,"latitude":-2.7221},"mars":{"sidereal_longitude":137.31703199999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":224.59593199999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":241.57923200000005,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"venus":{"sidereal_longitude":211.14243199999999,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":254.65653199999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":221.7671,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":41.7671,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","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":1900,"month":12,"day":17,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415370.770833,"kali_year":5002,"ahargana":1826905.2708,"sun":{"sidereal_longitude":242.0742,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":184.5157,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":302.4415,"elapsed_within_tithi_degrees":2.4415},"nakshatra":{"number":14,"name":"Citrā","pada":4,"moon_longitude":184.5157,"elapsed_within_degrees":11.1824},"yoga":{"number":5,"name":"Śobhana","sum_longitude":66.5899},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.722,"elongation":57.558},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.722,"opposition_distance":122.442}},"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":"07:04","sunsetLocal":"17:28","solarNoonLocal":"12:16","dayLengthHours":10.410367173425039,"dayLengthDisplay":"10 Hours 24 Mins 37 Secs","nightLengthDisplay":"13 Hours 35 Mins 23 Secs","moonriseLocal":"02:51","moonsetLocal":"14:10","rahuKala":{"name":"Rāhu Kāla","start":"08:22","end":"09:40","startHours":8.36364282868047,"endHours":9.6649387253586,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:58","end":"12:16","startHours":10.96623462203673,"endHours":12.26753051871486,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:34","end":"14:52","startHours":13.568826415392989,"endHours":14.87012231207112,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:29","end":"09:50","startHours":9.491432605801515,"endHours":9.838444844915683,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:30","end":"07:46","startHours":7.49611223089505,"endHours":7.7737220221863845,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:37","startHours":11.920518279600692,"endHours":12.614542757829028,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:40","end":"06:22","startHours":5.674297975545668,"endHours":6.368322453774004,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:12","end":"07:04","startHours":6.19481633421692,"endHours":7.06234693200234,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:00","end":"14:42","startHours":14.0025917142857,"endHours":14.696616192514036,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:16","end":"17:40","startHours":17.27271410542738,"endHours":17.672714105427378,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:28","end":"17:54","startHours":17.47271410542738,"endHours":17.906479404320088,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:13","end":"18:58","startHours":17.22271410542738,"endHours":18.97271410542738,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:37","startHours":23.920518279600692,"endHours":24.614542757829028,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:04","end":"08:22","startHours":7.06234693200234,"endHours":8.36364282868047,"quality":"auspicious"},{"name":"Kāla","start":"08:22","end":"09:40","startHours":8.36364282868047,"endHours":9.6649387253586,"quality":"inauspicious"},{"name":"Śubha","start":"09:40","end":"10:58","startHours":9.6649387253586,"endHours":10.96623462203673,"quality":"auspicious"},{"name":"Roga","start":"10:58","end":"12:16","startHours":10.96623462203673,"endHours":12.26753051871486,"quality":"inauspicious"},{"name":"Udveg","start":"12:16","end":"13:34","startHours":12.26753051871486,"endHours":13.568826415392989,"quality":"inauspicious"},{"name":"Chala","start":"13:34","end":"14:52","startHours":13.568826415392989,"endHours":14.87012231207112,"quality":"neutral"},{"name":"Labha","start":"14:52","end":"16:10","startHours":14.87012231207112,"endHours":16.171418208749248,"quality":"auspicious"},{"name":"Amṛta","start":"16:10","end":"17:28","startHours":16.171418208749248,"endHours":17.47271410542738,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:28","end":"19:10","startHours":17.47271410542738,"endHours":19.171418208749248,"quality":"neutral"},{"name":"Labha","start":"19:10","end":"20:52","startHours":19.171418208749248,"endHours":20.870122312071118,"quality":"auspicious"},{"name":"Amṛta","start":"20:52","end":"22:34","startHours":20.870122312071118,"endHours":22.56882641539299,"quality":"auspicious"},{"name":"Kāla","start":"22:34","end":"00:16","startHours":22.56882641539299,"endHours":24.26753051871486,"quality":"inauspicious"},{"name":"Śubha","start":"00:16","end":"01:58","startHours":24.26753051871486,"endHours":25.96623462203673,"quality":"auspicious"},{"name":"Roga","start":"01:58","end":"03:40","startHours":25.96623462203673,"endHours":27.6649387253586,"quality":"inauspicious"},{"name":"Udveg","start":"03:40","end":"05:22","startHours":27.6649387253586,"endHours":29.36364282868047,"quality":"inauspicious"},{"name":"Chala","start":"05:22","end":"07:04","startHours":29.36364282868047,"endHours":31.06234693200234,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:04","end":"08:04","startHours":7.06234693200234,"endHours":8.06234693200234,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:04","end":"09:04","startHours":8.06234693200234,"endHours":9.06234693200234,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:04","end":"10:04","startHours":9.06234693200234,"endHours":10.06234693200234,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:04","end":"11:04","startHours":10.06234693200234,"endHours":11.06234693200234,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:04","end":"12:04","startHours":11.06234693200234,"endHours":12.06234693200234,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:04","end":"13:04","startHours":12.06234693200234,"endHours":13.06234693200234,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:04","end":"14:04","startHours":13.06234693200234,"endHours":14.06234693200234,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:04","end":"15:04","startHours":14.06234693200234,"endHours":15.06234693200234,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:04","end":"16:04","startHours":15.06234693200234,"endHours":16.06234693200234,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:04","end":"17:04","startHours":16.06234693200234,"endHours":17.06234693200234,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:04","end":"18:04","startHours":17.06234693200234,"endHours":18.06234693200234,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:04","end":"19:04","startHours":18.06234693200234,"endHours":19.06234693200234,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:04","end":"20:04","startHours":19.06234693200234,"endHours":20.06234693200234,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:04","end":"21:04","startHours":20.06234693200234,"endHours":21.06234693200234,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:04","end":"22:04","startHours":21.06234693200234,"endHours":22.06234693200234,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:04","end":"23:04","startHours":22.06234693200234,"endHours":23.06234693200234,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:04","end":"00:04","startHours":23.06234693200234,"endHours":24.06234693200234,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:04","end":"01:04","startHours":24.06234693200234,"endHours":25.06234693200234,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:04","end":"02:04","startHours":25.06234693200234,"endHours":26.06234693200234,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:04","end":"03:04","startHours":26.06234693200234,"endHours":27.06234693200234,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:04","end":"04:04","startHours":27.06234693200234,"endHours":28.06234693200234,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:04","end":"05:04","startHours":28.06234693200234,"endHours":29.06234693200234,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:04","end":"06:04","startHours":29.06234693200234,"endHours":30.06234693200234,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:04","end":"07:04","startHours":30.06234693200234,"endHours":31.06234693200234,"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":["Meṣa","Karka","Siṃha","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"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":-23.329072103427045,"eotMinutes":3.253368877108411,"ayanamsa":22.4695}},"calendars":{"vikram_samvat":1957,"vikram_samvatsara":"Pramādī","saka_samvat":1822,"saka_samvatsara":"Śārvarī","bengali_samvat":1307,"malayalam_era":1076,"nanakshahi_year":431,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Ekādaśī · Vikram 1957 Pramādī · Śaka 1822 Śārvarī"},"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":[]},"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 17, 1900 CE · Mathurā · Vidhyamitra","description":"December 17, 1900 CE for Mathurā: Kṛṣṇa Ekādaśī, sūryodaya 07:04, sūryāsta 17:28.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1900-12-17","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1900-12-17","sa":"https://sa.vidhyamitra.com/city/mathura/1900-12-17","hi":"https://hi.vidhyamitra.com/city/mathura/1900-12-17","x-default":"https://vidhyamitra.com/city/mathura/1900-12-17"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:50:42.683Z","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":"2026-05-14T14:50:42.683Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:50:42.683Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}