{"id":"vidhyamitra:city-day:mathura:1901-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1901-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1901-01-03","date_display":"January 3, 1901 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":1901,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415387.770833,"kali_year":5002,"ahargana":1826922.2708,"sun":{"sidereal_longitude":259.5451,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":56.2806,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":156.7355,"elapsed_within_tithi_degrees":0.7355},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":56.2806,"elapsed_within_degrees":2.9473},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.8257},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":1901,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2415387.770833,"ahargana":1826922.2708,"kali_year":5002,"ayanamsa_lahiri":22.4701,"grahas":{"sun":{"sidereal_longitude":259.519982,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":54.549082,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false,"latitude":-1.1949},"mars":{"sidereal_longitude":140.770582,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":249.70838200000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":245.428582,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"venus":{"sidereal_longitude":232.200782,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":256.658282,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":220.8663,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":40.8663,"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":1901,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415387.770833,"kali_year":5002,"ahargana":1826922.2708,"sun":{"sidereal_longitude":259.5451,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":56.2806,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":14,"name":"Caturdaśī","paksha":"Śukla","full_name":"Śukla Caturdaśī","elongation_degrees":156.7355,"elapsed_within_tithi_degrees":0.7355},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1,"moon_longitude":56.2806,"elapsed_within_degrees":2.9473},"yoga":{"number":24,"name":"Śukla","sum_longitude":315.8257},"karana":{"half_tithi_index":26,"name":"Gara"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.195,"elongation":156.736},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.195,"opposition_distance":23.264}},"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":"07:11","sunsetLocal":"17:37","solarNoonLocal":"12:24","dayLengthHours":10.446229036854696,"dayLengthDisplay":"10 Hours 26 Mins 46 Secs","nightLengthDisplay":"13 Hours 33 Mins 14 Secs","moonriseLocal":"15:51","moonsetLocal":"05:37","rahuKala":{"name":"Rāhu Kāla","start":"13:42","end":"15:01","startHours":13.704022310117807,"endHours":15.009800939724645,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:11","end":"08:29","startHours":7.175129162083622,"endHours":8.48090779169046,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:47","end":"11:06","startHours":9.786686421297297,"endHours":11.092465050904133,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.612582604016385,"endHours":9.960790238578207,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:53","startHours":7.610388705285901,"endHours":7.88895481293536,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:03","end":"12:45","startHours":12.050036045949145,"endHours":12.746451315072793,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.782298623836329,"endHours":6.478713892959976,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.304610075679064,"endHours":7.175129162083622,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:08","end":"14:50","startHours":14.139281853320085,"endHours":14.835697122443731,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:25","end":"17:49","startHours":17.421358198938318,"endHours":17.821358198938317,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:37","end":"18:03","startHours":17.621358198938317,"endHours":18.056617742140595,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:22","end":"19:07","startHours":17.371358198938317,"endHours":19.121358198938317,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:03","end":"00:45","startHours":24.050036045949145,"endHours":24.746451315072793,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:11","end":"08:29","startHours":7.175129162083622,"endHours":8.48090779169046,"quality":"auspicious"},{"name":"Roga","start":"08:29","end":"09:47","startHours":8.48090779169046,"endHours":9.786686421297297,"quality":"inauspicious"},{"name":"Udveg","start":"09:47","end":"11:06","startHours":9.786686421297297,"endHours":11.092465050904133,"quality":"inauspicious"},{"name":"Chala","start":"11:06","end":"12:24","startHours":11.092465050904133,"endHours":12.39824368051097,"quality":"neutral"},{"name":"Labha","start":"12:24","end":"13:42","startHours":12.39824368051097,"endHours":13.704022310117807,"quality":"auspicious"},{"name":"Amṛta","start":"13:42","end":"15:01","startHours":13.704022310117807,"endHours":15.009800939724645,"quality":"auspicious"},{"name":"Kāla","start":"15:01","end":"16:19","startHours":15.009800939724645,"endHours":16.31557956933148,"quality":"inauspicious"},{"name":"Śubha","start":"16:19","end":"17:37","startHours":16.31557956933148,"endHours":17.621358198938317,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:37","end":"19:19","startHours":17.621358198938317,"endHours":19.31557956933148,"quality":"auspicious"},{"name":"Kāla","start":"19:19","end":"21:01","startHours":19.31557956933148,"endHours":21.00980093972464,"quality":"inauspicious"},{"name":"Śubha","start":"21:01","end":"22:42","startHours":21.00980093972464,"endHours":22.704022310117807,"quality":"auspicious"},{"name":"Roga","start":"22:42","end":"00:24","startHours":22.704022310117807,"endHours":24.39824368051097,"quality":"inauspicious"},{"name":"Udveg","start":"00:24","end":"02:06","startHours":24.39824368051097,"endHours":26.09246505090413,"quality":"inauspicious"},{"name":"Chala","start":"02:06","end":"03:47","startHours":26.09246505090413,"endHours":27.786686421297297,"quality":"neutral"},{"name":"Labha","start":"03:47","end":"05:29","startHours":27.786686421297297,"endHours":29.48090779169046,"quality":"auspicious"},{"name":"Amṛta","start":"05:29","end":"07:11","startHours":29.48090779169046,"endHours":31.17512916208362,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.175129162083622,"endHours":8.175129162083621,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.175129162083621,"endHours":9.175129162083621,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.175129162083621,"endHours":10.175129162083621,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.175129162083621,"endHours":11.175129162083621,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.175129162083621,"endHours":12.175129162083621,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.175129162083621,"endHours":13.175129162083621,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.175129162083621,"endHours":14.175129162083621,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.175129162083621,"endHours":15.175129162083621,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.175129162083621,"endHours":16.17512916208362,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.17512916208362,"endHours":17.17512916208362,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.17512916208362,"endHours":18.17512916208362,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.17512916208362,"endHours":19.17512916208362,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.17512916208362,"endHours":20.17512916208362,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.17512916208362,"endHours":21.17512916208362,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.17512916208362,"endHours":22.17512916208362,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.17512916208362,"endHours":23.17512916208362,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.17512916208362,"endHours":24.17512916208362,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.17512916208362,"endHours":25.17512916208362,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.17512916208362,"endHours":26.17512916208362,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.17512916208362,"endHours":27.17512916208362,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.17512916208362,"endHours":28.17512916208362,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.17512916208362,"endHours":29.17512916208362,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.17512916208362,"endHours":30.17512916208362,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.17512916208362,"endHours":31.17512916208362,"planetary_lord":"Moon"}],"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":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Amṛta","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":-22.89573397655961,"eotMinutes":-4.589420830658165,"ayanamsa":22.4701}},"calendars":{"vikram_samvat":1958,"vikram_samvatsara":"Ānanda","saka_samvat":1823,"saka_samvatsara":"Plava","bengali_samvat":1308,"malayalam_era":1077,"nanakshahi_year":432,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturdaśī · Vikram 1958 Ānanda · Śaka 1823 Plava"},"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":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 January 3, 1901 CE · Mathurā · Vidhyamitra","description":"January 3, 1901 CE for Mathurā: Śukla Caturdaśī, sūryodaya 07:11, sūryāsta 17:37.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1901-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1901-01-03","sa":"https://sa.vidhyamitra.com/city/mathura/1901-01-03","hi":"https://hi.vidhyamitra.com/city/mathura/1901-01-03","x-default":"https://vidhyamitra.com/city/mathura/1901-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T20:40:13.081Z","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":"2026-05-14T20:40:13.081Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T20:40:13.081Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}