{"id":"vidhyamitra:city-day:mathura:1952-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1952-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1952-01-20","date_display":"January 20, 1952 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":1952,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2434031.770833,"kali_year":5053,"ahargana":1845566.2708,"sun":{"sidereal_longitude":275.7787,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":187.0325,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":271.2538,"elapsed_within_tithi_degrees":7.2538},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":187.0325,"elapsed_within_degrees":0.3658},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":102.8111},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1952,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2434031.770833,"ahargana":1845566.2708,"kali_year":5053,"ayanamsa_lahiri":23.1832,"grahas":{"sun":{"sidereal_longitude":275.739244,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":183.144544,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false,"latitude":-3.64},"mars":{"sidereal_longitude":187.43544399999996,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":256.525044,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":345.847244,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":238.220144,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":172.07394399999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":313.0175,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":133.0175,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":1952,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2434031.770833,"kali_year":5053,"ahargana":1845566.2708,"sun":{"sidereal_longitude":275.7787,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":187.0325,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":271.2538,"elapsed_within_tithi_degrees":7.2538},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":187.0325,"elapsed_within_degrees":0.3658},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":102.8111},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.64,"elongation":88.746},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.64,"opposition_distance":91.254}},"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":"17:50","solarNoonLocal":"12:30","dayLengthHours":10.650205415940732,"dayLengthDisplay":"10 Hours 39 Mins 01 Secs","nightLengthDisplay":"13 Hours 20 Mins 59 Secs","moonriseLocal":"00:39","moonsetLocal":"12:01","rahuKala":{"name":"Rāhu Kāla","start":"16:30","end":"17:50","startHours":16.49831875326493,"endHours":17.829594430257522,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:30","end":"13:50","startHours":12.504491722287156,"endHours":13.835767399279746,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:10","end":"16:30","startHours":15.16704307627234,"endHours":16.49831875326493,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.66443694470296,"endHours":10.019443791900985,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.62314757331432,"endHours":7.907153051072739,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.149484875089131,"endHours":12.859498569485181,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.759361625524692,"endHours":6.46937531992074,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.291871896321728,"endHours":7.179389014316789,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"14:59","startHours":14.279525958277276,"endHours":14.989539652673324,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.629594430257523,"endHours":18.02959443025752,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:16","startHours":17.829594430257522,"endHours":18.273352989255052,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.579594430257522,"endHours":19.329594430257522,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.149484875089133,"endHours":24.85949856948518,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:11","end":"08:31","startHours":7.179389014316789,"endHours":8.51066469130938,"quality":"inauspicious"},{"name":"Chala","start":"08:31","end":"09:51","startHours":8.51066469130938,"endHours":9.841940368301973,"quality":"neutral"},{"name":"Labha","start":"09:51","end":"11:10","startHours":9.841940368301973,"endHours":11.173216045294563,"quality":"auspicious"},{"name":"Amṛta","start":"11:10","end":"12:30","startHours":11.173216045294563,"endHours":12.504491722287156,"quality":"auspicious"},{"name":"Kāla","start":"12:30","end":"13:50","startHours":12.504491722287156,"endHours":13.835767399279746,"quality":"inauspicious"},{"name":"Śubha","start":"13:50","end":"15:10","startHours":13.835767399279746,"endHours":15.16704307627234,"quality":"auspicious"},{"name":"Roga","start":"15:10","end":"16:30","startHours":15.16704307627234,"endHours":16.49831875326493,"quality":"inauspicious"},{"name":"Udveg","start":"16:30","end":"17:50","startHours":16.49831875326493,"endHours":17.829594430257522,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:50","end":"19:30","startHours":17.829594430257522,"endHours":19.498318753264932,"quality":"auspicious"},{"name":"Roga","start":"19:30","end":"21:10","startHours":19.498318753264932,"endHours":21.16704307627234,"quality":"inauspicious"},{"name":"Udveg","start":"21:10","end":"22:50","startHours":21.16704307627234,"endHours":22.835767399279746,"quality":"inauspicious"},{"name":"Chala","start":"22:50","end":"00:30","startHours":22.835767399279746,"endHours":24.504491722287156,"quality":"neutral"},{"name":"Labha","start":"00:30","end":"02:10","startHours":24.504491722287156,"endHours":26.173216045294566,"quality":"auspicious"},{"name":"Amṛta","start":"02:10","end":"03:51","startHours":26.173216045294566,"endHours":27.841940368301973,"quality":"auspicious"},{"name":"Kāla","start":"03:51","end":"05:31","startHours":27.841940368301973,"endHours":29.51066469130938,"quality":"inauspicious"},{"name":"Śubha","start":"05:31","end":"07:11","startHours":29.51066469130938,"endHours":31.17938901431679,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.179389014316789,"endHours":8.17938901431679,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.17938901431679,"endHours":9.17938901431679,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.17938901431679,"endHours":10.17938901431679,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.17938901431679,"endHours":11.17938901431679,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.17938901431679,"endHours":12.17938901431679,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.17938901431679,"endHours":13.17938901431679,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.17938901431679,"endHours":14.17938901431679,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.17938901431679,"endHours":15.17938901431679,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.17938901431679,"endHours":16.17938901431679,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.17938901431679,"endHours":17.17938901431679,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.17938901431679,"endHours":18.17938901431679,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.17938901431679,"endHours":19.17938901431679,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.17938901431679,"endHours":20.17938901431679,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.17938901431679,"endHours":21.17938901431679,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.17938901431679,"endHours":22.17938901431679,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.17938901431679,"endHours":23.17938901431679,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.17938901431679,"endHours":24.17938901431679,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.17938901431679,"endHours":25.17938901431679,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.17938901431679,"endHours":26.17938901431679,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.17938901431679,"endHours":27.17938901431679,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.17938901431679,"endHours":28.17938901431679,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.17938901431679,"endHours":29.17938901431679,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.17938901431679,"endHours":30.17938901431679,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.17938901431679,"endHours":31.17938901431679,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"West (Paścim)","chandraVasa":"North","rahuVasa":"North-East","anandadiYoga":{"name":"Lumba","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-20.372695246621333,"eotMinutes":-10.9643033372293,"ayanamsa":23.1832}},"calendars":{"vikram_samvat":2009,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1874,"saka_samvatsara":"Nandana","bengali_samvat":1359,"malayalam_era":1128,"nanakshahi_year":483,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Aṣṭamī · Vikram 2009 Viśvāvasu · Śaka 1874 Nandana"},"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}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 20, 1952 CE · Mathurā · Vidhyamitra","description":"January 20, 1952 CE for Mathurā: Kṛṣṇa Aṣṭamī, sūryodaya 07:11, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1952-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1952-01-20","sa":"https://sa.vidhyamitra.com/city/mathura/1952-01-20","hi":"https://hi.vidhyamitra.com/city/mathura/1952-01-20","x-default":"https://vidhyamitra.com/city/mathura/1952-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:45:06.262Z","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":"2026-05-14T13:45:06.262Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:45:06.262Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}