{"id":"vidhyamitra:city-day:mathura:1951-01-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1951-01-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1951-01-01","date_display":"January 1, 1951 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":1951,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433647.770833,"kali_year":5052,"ahargana":1845182.2708,"sun":{"sidereal_longitude":256.5247,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":167.6964,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":271.1717,"elapsed_within_tithi_degrees":7.1717},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":167.6964,"elapsed_within_degrees":7.6964},"yoga":{"number":5,"name":"Śobhana","sum_longitude":64.2211},"karana":{"half_tithi_index":45,"name":"Kaulava"},"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":1951,"month":1,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2433647.770833,"ahargana":1845182.2708,"kali_year":5052,"ayanamsa_lahiri":23.1685,"grahas":{"sun":{"sidereal_longitude":256.64181600000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":164.50231600000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":-1.1129},"mars":{"sidereal_longitude":290.5756160000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":259.24191599999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":312.3890160000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":268.960816,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":159.37281600000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":333.3637,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":153.3637,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"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":1951,"month":1,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433647.770833,"kali_year":5052,"ahargana":1845182.2708,"sun":{"sidereal_longitude":256.5247,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":167.6964,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":271.1717,"elapsed_within_tithi_degrees":7.1717},"nakshatra":{"number":13,"name":"Hasta","pada":3,"moon_longitude":167.6964,"elapsed_within_degrees":7.6964},"yoga":{"number":5,"name":"Śobhana","sum_longitude":64.2211},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.113,"elongation":88.828},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.113,"opposition_distance":91.172}},"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":"07:10","sunsetLocal":"17:36","solarNoonLocal":"12:23","dayLengthHours":10.431523808460522,"dayLengthDisplay":"10 Hours 25 Mins 53 Secs","nightLengthDisplay":"13 Hours 34 Mins 07 Secs","moonriseLocal":"00:18","moonsetLocal":"12:11","rahuKala":{"name":"Rāhu Kāla","start":"08:28","end":"09:47","startHours":8.471684877217237,"endHours":9.775625353274803,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"11:05","end":"12:23","startHours":11.079565829332369,"endHours":12.383506305389933,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:41","end":"14:59","startHours":13.687446781447498,"endHours":14.991387257505064,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:36","end":"09:57","startHours":9.601766623133795,"endHours":9.949484083415811,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:36","end":"07:53","startHours":7.602391226512195,"endHours":7.880565194737809,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:02","end":"12:44","startHours":12.035788845107916,"endHours":12.731223765671952,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:28","startHours":5.776874560031603,"endHours":6.472309480595638,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:10","startHours":6.298450750454629,"endHours":7.1677444011596725,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:49","startHours":14.122093606800021,"endHours":14.817528527364056,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:24","end":"17:48","startHours":17.399268209620196,"endHours":17.799268209620195,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:36","end":"18:02","startHours":17.599268209620195,"endHours":18.03391503497272,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:21","end":"19:06","startHours":17.349268209620195,"endHours":19.099268209620195,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:02","end":"00:44","startHours":24.03578884510792,"endHours":24.731223765671952,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"07:10","end":"08:28","startHours":7.1677444011596725,"endHours":8.471684877217237,"quality":"auspicious"},{"name":"Kāla","start":"08:28","end":"09:47","startHours":8.471684877217237,"endHours":9.775625353274803,"quality":"inauspicious"},{"name":"Śubha","start":"09:47","end":"11:05","startHours":9.775625353274803,"endHours":11.079565829332369,"quality":"auspicious"},{"name":"Roga","start":"11:05","end":"12:23","startHours":11.079565829332369,"endHours":12.383506305389933,"quality":"inauspicious"},{"name":"Udveg","start":"12:23","end":"13:41","startHours":12.383506305389933,"endHours":13.687446781447498,"quality":"inauspicious"},{"name":"Chala","start":"13:41","end":"14:59","startHours":13.687446781447498,"endHours":14.991387257505064,"quality":"neutral"},{"name":"Labha","start":"14:59","end":"16:18","startHours":14.991387257505064,"endHours":16.29532773356263,"quality":"auspicious"},{"name":"Amṛta","start":"16:18","end":"17:36","startHours":16.29532773356263,"endHours":17.599268209620195,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"17:36","end":"19:18","startHours":17.599268209620195,"endHours":19.29532773356263,"quality":"neutral"},{"name":"Labha","start":"19:18","end":"20:59","startHours":19.29532773356263,"endHours":20.991387257505064,"quality":"auspicious"},{"name":"Amṛta","start":"20:59","end":"22:41","startHours":20.991387257505064,"endHours":22.6874467814475,"quality":"auspicious"},{"name":"Kāla","start":"22:41","end":"00:23","startHours":22.6874467814475,"endHours":24.383506305389936,"quality":"inauspicious"},{"name":"Śubha","start":"00:23","end":"02:05","startHours":24.383506305389936,"endHours":26.079565829332367,"quality":"auspicious"},{"name":"Roga","start":"02:05","end":"03:47","startHours":26.079565829332367,"endHours":27.775625353274805,"quality":"inauspicious"},{"name":"Udveg","start":"03:47","end":"05:28","startHours":27.775625353274805,"endHours":29.47168487721724,"quality":"inauspicious"},{"name":"Chala","start":"05:28","end":"07:10","startHours":29.47168487721724,"endHours":31.167744401159673,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.1677444011596725,"endHours":8.167744401159673,"planetary_lord":"Moon"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.167744401159673,"endHours":9.167744401159673,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.167744401159673,"endHours":10.167744401159673,"planetary_lord":"Venus"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.167744401159673,"endHours":11.167744401159673,"planetary_lord":"Sun"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.167744401159673,"endHours":12.167744401159673,"planetary_lord":"Mars"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.167744401159673,"endHours":13.167744401159673,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.167744401159673,"endHours":14.167744401159673,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.167744401159673,"endHours":15.167744401159673,"planetary_lord":"Moon"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.167744401159673,"endHours":16.167744401159673,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.167744401159673,"endHours":17.167744401159673,"planetary_lord":"Venus"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.167744401159673,"endHours":18.167744401159673,"planetary_lord":"Sun"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.167744401159673,"endHours":19.167744401159673,"planetary_lord":"Mars"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.167744401159673,"endHours":20.167744401159673,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.167744401159673,"endHours":21.167744401159673,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.167744401159673,"endHours":22.167744401159673,"planetary_lord":"Moon"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.167744401159673,"endHours":23.167744401159673,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.167744401159673,"endHours":24.167744401159673,"planetary_lord":"Venus"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.167744401159673,"endHours":25.167744401159673,"planetary_lord":"Sun"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.167744401159673,"endHours":26.167744401159673,"planetary_lord":"Mars"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.167744401159673,"endHours":27.167744401159673,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.167744401159673,"endHours":28.167744401159673,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.167744401159673,"endHours":29.167744401159673,"planetary_lord":"Moon"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.167744401159673,"endHours":30.167744401159673,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.167744401159673,"endHours":31.167744401159673,"planetary_lord":"Venus"}],"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","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","quality":"Inauspicious"},"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":-23.07380314071604,"eotMinutes":-3.705178323396069,"ayanamsa":23.1685}},"calendars":{"vikram_samvat":2008,"vikram_samvatsara":"Krodhi","saka_samvat":1873,"saka_samvatsara":"Khara","bengali_samvat":1358,"malayalam_era":1127,"nanakshahi_year":482,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Aṣṭamī · Vikram 2008 Krodhi · Śaka 1873 Khara"},"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":"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":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","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 January 1, 1951 CE · Mathurā · Vidhyamitra","description":"January 1, 1951 CE for Mathurā: Kṛṣṇa Aṣṭamī, sūryodaya 07:10, sūryāsta 17:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1951-01-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1951-01-01","sa":"https://sa.vidhyamitra.com/city/mathura/1951-01-01","hi":"https://hi.vidhyamitra.com/city/mathura/1951-01-01","x-default":"https://vidhyamitra.com/city/mathura/1951-01-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T11:41:39.905Z","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":"2026-05-14T11:41:39.905Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T11:41:39.905Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}