{"id":"vidhyamitra:city-day:mathura:1903-01-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1903-01-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1903-01-29","date_display":"January 29, 1903 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":1903,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416143.770833,"kali_year":5004,"ahargana":1827678.2708,"sun":{"sidereal_longitude":285.6934,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":289.9963,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":4.303,"elapsed_within_tithi_degrees":4.303},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":289.9963,"elapsed_within_degrees":9.9963},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":215.6897},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"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":1903,"month":1,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2416143.770833,"ahargana":1827678.2708,"kali_year":5004,"ayanamsa_lahiri":22.499,"grahas":{"sun":{"sidereal_longitude":285.4677979999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"moon":{"sidereal_longitude":289.328898,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false,"latitude":4.2496},"mars":{"sidereal_longitude":172.71809800000005,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":296.2150979999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":303.614098,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":301.38209800000004,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":279.845998,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":180.8098,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":0.8098,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":1903,"month":1,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416143.770833,"kali_year":5004,"ahargana":1827678.2708,"sun":{"sidereal_longitude":285.6934,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":289.9963,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":1,"name":"Pratipada","paksha":"Śukla","full_name":"Śukla Pratipada","elongation_degrees":4.303,"elapsed_within_tithi_degrees":4.303},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3,"moon_longitude":289.9963,"elapsed_within_degrees":9.9963},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":215.6897},"karana":{"half_tithi_index":0,"name":"Kiṃstughna"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.25,"elongation":4.303},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.25,"opposition_distance":175.697}},"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":"07:08","sunsetLocal":"17:57","solarNoonLocal":"12:32","dayLengthHours":10.814320157368812,"dayLengthDisplay":"10 Hours 48 Mins 52 Secs","nightLengthDisplay":"13 Hours 11 Mins 08 Secs","moonriseLocal":"07:22","moonsetLocal":"18:14","rahuKala":{"name":"Rāhu Kāla","start":"13:54","end":"15:15","startHours":13.89307871921634,"endHours":15.24486873888744,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:08","end":"08:29","startHours":7.1341286208608325,"endHours":8.485918640531935,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:50","end":"11:11","startHours":9.837708660203035,"endHours":11.189498679874138,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:01","startHours":9.657469990913555,"endHours":10.017947329492516,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:35","end":"07:52","startHours":7.584725294084533,"endHours":7.873107164947702,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"12:54","startHours":12.180811360966278,"endHours":12.901766038124197,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:42","end":"06:25","startHours":5.692219266544991,"endHours":6.413173943702912,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:14","end":"07:08","startHours":6.232935274413432,"endHours":7.1341286208608325,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:21","end":"15:04","startHours":14.34367539244004,"endHours":15.064630069597962,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:45","end":"18:09","startHours":17.748448778229644,"endHours":18.148448778229643,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:57","end":"18:24","startHours":17.948448778229643,"endHours":18.399045451453343,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:42","end":"19:27","startHours":17.698448778229643,"endHours":19.448448778229643,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"00:54","startHours":24.180811360966278,"endHours":24.901766038124197,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"07:08","end":"08:29","startHours":7.1341286208608325,"endHours":8.485918640531935,"quality":"auspicious"},{"name":"Roga","start":"08:29","end":"09:50","startHours":8.485918640531935,"endHours":9.837708660203035,"quality":"inauspicious"},{"name":"Udveg","start":"09:50","end":"11:11","startHours":9.837708660203035,"endHours":11.189498679874138,"quality":"inauspicious"},{"name":"Chala","start":"11:11","end":"12:32","startHours":11.189498679874138,"endHours":12.541288699545238,"quality":"neutral"},{"name":"Labha","start":"12:32","end":"13:54","startHours":12.541288699545238,"endHours":13.89307871921634,"quality":"auspicious"},{"name":"Amṛta","start":"13:54","end":"15:15","startHours":13.89307871921634,"endHours":15.24486873888744,"quality":"auspicious"},{"name":"Kāla","start":"15:15","end":"16:36","startHours":15.24486873888744,"endHours":16.596658758558544,"quality":"inauspicious"},{"name":"Śubha","start":"16:36","end":"17:57","startHours":16.596658758558544,"endHours":17.948448778229643,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:57","end":"19:36","startHours":17.948448778229643,"endHours":19.59665875855854,"quality":"auspicious"},{"name":"Kāla","start":"19:36","end":"21:15","startHours":19.59665875855854,"endHours":21.24486873888744,"quality":"inauspicious"},{"name":"Śubha","start":"21:15","end":"22:54","startHours":21.24486873888744,"endHours":22.89307871921634,"quality":"auspicious"},{"name":"Roga","start":"22:54","end":"00:32","startHours":22.89307871921634,"endHours":24.541288699545238,"quality":"inauspicious"},{"name":"Udveg","start":"00:32","end":"02:11","startHours":24.541288699545238,"endHours":26.189498679874134,"quality":"inauspicious"},{"name":"Chala","start":"02:11","end":"03:50","startHours":26.189498679874134,"endHours":27.837708660203035,"quality":"neutral"},{"name":"Labha","start":"03:50","end":"05:29","startHours":27.837708660203035,"endHours":29.485918640531935,"quality":"auspicious"},{"name":"Amṛta","start":"05:29","end":"07:08","startHours":29.485918640531935,"endHours":31.13412862086083,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:08","end":"08:08","startHours":7.1341286208608325,"endHours":8.134128620860832,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"08:08","end":"09:08","startHours":8.134128620860832,"endHours":9.134128620860832,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"09:08","end":"10:08","startHours":9.134128620860832,"endHours":10.134128620860832,"planetary_lord":"Moon"},{"name":"Hora 4","start":"10:08","end":"11:08","startHours":10.134128620860832,"endHours":11.134128620860832,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"11:08","end":"12:08","startHours":11.134128620860832,"endHours":12.134128620860832,"planetary_lord":"Venus"},{"name":"Hora 6","start":"12:08","end":"13:08","startHours":12.134128620860832,"endHours":13.134128620860832,"planetary_lord":"Sun"},{"name":"Hora 7","start":"13:08","end":"14:08","startHours":13.134128620860832,"endHours":14.134128620860832,"planetary_lord":"Mars"},{"name":"Hora 8","start":"14:08","end":"15:08","startHours":14.134128620860832,"endHours":15.134128620860832,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"15:08","end":"16:08","startHours":15.134128620860832,"endHours":16.13412862086083,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"16:08","end":"17:08","startHours":16.13412862086083,"endHours":17.13412862086083,"planetary_lord":"Moon"},{"name":"Hora 11","start":"17:08","end":"18:08","startHours":17.13412862086083,"endHours":18.13412862086083,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"18:08","end":"19:08","startHours":18.13412862086083,"endHours":19.13412862086083,"planetary_lord":"Venus"},{"name":"Hora 13","start":"19:08","end":"20:08","startHours":19.13412862086083,"endHours":20.13412862086083,"planetary_lord":"Sun"},{"name":"Hora 14","start":"20:08","end":"21:08","startHours":20.13412862086083,"endHours":21.13412862086083,"planetary_lord":"Mars"},{"name":"Hora 15","start":"21:08","end":"22:08","startHours":21.13412862086083,"endHours":22.13412862086083,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"22:08","end":"23:08","startHours":22.13412862086083,"endHours":23.13412862086083,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"23:08","end":"00:08","startHours":23.13412862086083,"endHours":24.13412862086083,"planetary_lord":"Moon"},{"name":"Hora 18","start":"00:08","end":"01:08","startHours":24.13412862086083,"endHours":25.13412862086083,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"01:08","end":"02:08","startHours":25.13412862086083,"endHours":26.13412862086083,"planetary_lord":"Venus"},{"name":"Hora 20","start":"02:08","end":"03:08","startHours":26.13412862086083,"endHours":27.13412862086083,"planetary_lord":"Sun"},{"name":"Hora 21","start":"03:08","end":"04:08","startHours":27.13412862086083,"endHours":28.13412862086083,"planetary_lord":"Mars"},{"name":"Hora 22","start":"04:08","end":"05:08","startHours":28.13412862086083,"endHours":29.13412862086083,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"05:08","end":"06:08","startHours":29.13412862086083,"endHours":30.13412862086083,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"06:08","end":"07:08","startHours":30.13412862086083,"endHours":31.13412862086083,"planetary_lord":"Moon"}],"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Mudgara","quality":"Inauspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-18.273862020387885,"eotMinutes":-13.172121972714217,"ayanamsa":22.499}},"calendars":{"vikram_samvat":1960,"vikram_samvatsara":"Nala","saka_samvat":1825,"saka_samvatsara":"Śobhana","bengali_samvat":1310,"malayalam_era":1079,"nanakshahi_year":434,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Pratipada · Vikram 1960 Nala · Śaka 1825 Śobhana"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2},{"id":"magha-gupta-navratri-start","name":"Māgha Gupta Navrātri Start","name_sanskrit":"माघ गुप्त नवरात्रि आरम्भ","tradition":"Shakta","associated_deity":"Devī (10 Mahāvidyās)","significance":"Hidden (gupta) Navrātri for advanced sādhanā of 10 Mahāvidyās.","vrata":true,"detection":{"tithi_number":1,"tithi_paksha":"Śukla","lunar_month":"Māgha"},"precedence":3}],"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 29, 1903 CE · Mathurā · Vidhyamitra","description":"January 29, 1903 CE for Mathurā: Śukla Pratipada, sūryodaya 07:08, sūryāsta 17:57.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1903-01-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1903-01-29","sa":"https://sa.vidhyamitra.com/city/mathura/1903-01-29","hi":"https://hi.vidhyamitra.com/city/mathura/1903-01-29","x-default":"https://vidhyamitra.com/city/mathura/1903-01-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:40:41.728Z","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":"2026-05-14T13:40:41.728Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:40:41.728Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}