{"id":"vidhyamitra:city-day:mathura:1952-08-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1952-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1952-08-20","date_display":"August 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":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2434244.770833,"kali_year":5054,"ahargana":1845779.2708,"sun":{"sidereal_longitude":123.2375,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":117.097,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":353.8595,"elapsed_within_tithi_degrees":5.8595},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":117.097,"elapsed_within_degrees":10.4303},"yoga":{"number":19,"name":"Parigha","sum_longitude":240.3345},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":8,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2434244.770833,"ahargana":1845779.2708,"kali_year":5054,"ayanamsa_lahiri":23.1913,"grahas":{"sun":{"sidereal_longitude":123.76280599999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":117.23880599999995,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false,"latitude":0.3632},"mars":{"sidereal_longitude":212.99330599999996,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":112.79870599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":27.565005999999983,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":139.87390600000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":169.061106,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":301.7317,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":121.7317,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":1952,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2434244.770833,"kali_year":5054,"ahargana":1845779.2708,"sun":{"sidereal_longitude":123.2375,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":117.097,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":353.8595,"elapsed_within_tithi_degrees":5.8595},"nakshatra":{"number":9,"name":"Āśleṣā","pada":4,"moon_longitude":117.097,"elapsed_within_degrees":10.4303},"yoga":{"number":19,"name":"Parigha","sum_longitude":240.3345},"karana":{"half_tithi_index":58,"name":"Catuṣpāda"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.363,"elongation":6.14},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.363,"opposition_distance":173.86}},"eclipse_window_40days":[{"offset_days":-14,"type":"lunar","occurs":true,"moon_latitude":-0.77,"opposition_distance":2.743},{"offset_days":15,"type":"lunar","occurs":true,"moon_latitude":1.25,"opposition_distance":0.583}]},"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":"05:52","sunsetLocal":"18:53","solarNoonLocal":"12:22","dayLengthHours":13.014506987931455,"dayLengthDisplay":"13 Hours 00 Mins 52 Secs","nightLengthDisplay":"10 Hours 59 Mins 08 Secs","moonriseLocal":"05:22","moonsetLocal":"18:30","rahuKala":{"name":"Rāhu Kāla","start":"12:22","end":"14:00","startHours":12.372586848508838,"endHours":13.999400222000268,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:30","end":"09:07","startHours":7.492146728034542,"endHours":9.118960101525975,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:45","end":"12:22","startHours":10.745773475017405,"endHours":12.372586848508838,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.902051651727117,"endHours":9.33586855132483,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:24","end":"06:45","startHours":6.407604479040254,"endHours":6.754657998718426,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:48","startHours":11.938769948911123,"endHours":12.806403748106554,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:08","end":"05:00","startHours":4.130065756152249,"endHours":4.99769955534768,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:47","end":"05:52","startHours":4.780791105548822,"endHours":5.86533335454311,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:33","end":"15:25","startHours":14.541671346497413,"endHours":15.409305145692842,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.679840342474566,"endHours":19.079840342474565,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:25","startHours":18.879840342474566,"endHours":19.42211146697171,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.629840342474566,"endHours":20.379840342474566,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:48","startHours":23.938769948911123,"endHours":24.806403748106554,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:52","end":"07:30","startHours":5.86533335454311,"endHours":7.492146728034542,"quality":"auspicious"},{"name":"Amṛta","start":"07:30","end":"09:07","startHours":7.492146728034542,"endHours":9.118960101525975,"quality":"auspicious"},{"name":"Kāla","start":"09:07","end":"10:45","startHours":9.118960101525975,"endHours":10.745773475017405,"quality":"inauspicious"},{"name":"Śubha","start":"10:45","end":"12:22","startHours":10.745773475017405,"endHours":12.372586848508838,"quality":"auspicious"},{"name":"Roga","start":"12:22","end":"14:00","startHours":12.372586848508838,"endHours":13.999400222000268,"quality":"inauspicious"},{"name":"Udveg","start":"14:00","end":"15:38","startHours":13.999400222000268,"endHours":15.626213595491702,"quality":"inauspicious"},{"name":"Chala","start":"15:38","end":"17:15","startHours":15.626213595491702,"endHours":17.253026968983132,"quality":"neutral"},{"name":"Labha","start":"17:15","end":"18:53","startHours":17.253026968983132,"endHours":18.879840342474566,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:53","end":"20:15","startHours":18.879840342474566,"endHours":20.253026968983136,"quality":"inauspicious"},{"name":"Chala","start":"20:15","end":"21:38","startHours":20.253026968983136,"endHours":21.626213595491702,"quality":"neutral"},{"name":"Labha","start":"21:38","end":"23:00","startHours":21.626213595491702,"endHours":22.99940022200027,"quality":"auspicious"},{"name":"Amṛta","start":"23:00","end":"00:22","startHours":22.99940022200027,"endHours":24.37258684850884,"quality":"auspicious"},{"name":"Kāla","start":"00:22","end":"01:45","startHours":24.37258684850884,"endHours":25.74577347501741,"quality":"inauspicious"},{"name":"Śubha","start":"01:45","end":"03:07","startHours":25.74577347501741,"endHours":27.118960101525975,"quality":"auspicious"},{"name":"Roga","start":"03:07","end":"04:30","startHours":27.118960101525975,"endHours":28.49214672803454,"quality":"inauspicious"},{"name":"Udveg","start":"04:30","end":"05:52","startHours":28.49214672803454,"endHours":29.86533335454311,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:52","end":"06:52","startHours":5.86533335454311,"endHours":6.86533335454311,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:52","end":"07:52","startHours":6.86533335454311,"endHours":7.86533335454311,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:52","end":"08:52","startHours":7.86533335454311,"endHours":8.865333354543111,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:52","end":"09:52","startHours":8.865333354543111,"endHours":9.865333354543111,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:52","end":"10:52","startHours":9.865333354543111,"endHours":10.865333354543111,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:52","end":"11:52","startHours":10.865333354543111,"endHours":11.865333354543111,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:52","end":"12:52","startHours":11.865333354543111,"endHours":12.865333354543111,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:52","end":"13:52","startHours":12.865333354543111,"endHours":13.865333354543111,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:52","end":"14:52","startHours":13.865333354543111,"endHours":14.865333354543111,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:52","end":"15:52","startHours":14.865333354543111,"endHours":15.865333354543111,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:52","end":"16:52","startHours":15.865333354543111,"endHours":16.86533335454311,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:52","end":"17:52","startHours":16.86533335454311,"endHours":17.86533335454311,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:52","end":"18:52","startHours":17.86533335454311,"endHours":18.86533335454311,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:52","end":"19:52","startHours":18.86533335454311,"endHours":19.86533335454311,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:52","end":"20:52","startHours":19.86533335454311,"endHours":20.86533335454311,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:52","end":"21:52","startHours":20.86533335454311,"endHours":21.86533335454311,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:52","end":"22:52","startHours":21.86533335454311,"endHours":22.86533335454311,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:52","end":"23:52","startHours":22.86533335454311,"endHours":23.86533335454311,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:52","end":"00:52","startHours":23.86533335454311,"endHours":24.86533335454311,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:52","end":"01:52","startHours":24.86533335454311,"endHours":25.86533335454311,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:52","end":"02:52","startHours":25.86533335454311,"endHours":26.86533335454311,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:52","end":"03:52","startHours":26.86533335454311,"endHours":27.86533335454311,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:52","end":"04:52","startHours":27.86533335454311,"endHours":28.86533335454311,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:52","end":"05:52","startHours":28.86533335454311,"endHours":29.86533335454311,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":12.526300557414297,"eotMinutes":-3.0500109105302213,"ayanamsa":23.1913}},"calendars":{"vikram_samvat":2009,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1874,"saka_samvatsara":"Nandana","bengali_samvat":1359,"malayalam_era":1128,"nanakshahi_year":483,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Amāvasyā · Vikram 2009 Viśvāvasu · Śaka 1874 Nandana"},"festivals":[{"id":"mahalaya-amavasya","name":"Mahālaya Amāvasyā (Sarvapitṛ Amāvasyā)","name_sanskrit":"महालय अमावस्या","tradition":"Pan-Hindu","associated_deity":"Pitṛ-deva","significance":"Final day of Pitṛ-Pakṣa; tarpaṇa for all ancestors.","vrata":true,"detection":{"tithi_number":30,"tithi_paksha":"Kṛṣṇa","lunar_month":"Bhādrapada"},"precedence":1},{"id":"simha-sankranti","name":"Siṁha Saṅkrānti","name_sanskrit":"सिंह सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Leo.","vrata":false,"detection":{"sun_rashi":"Siṃha"},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","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 August 20, 1952 CE · Mathurā · Vidhyamitra","description":"August 20, 1952 CE for Mathurā: Kṛṣṇa Amāvasyā, sūryodaya 05:52, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1952-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1952-08-20","sa":"https://sa.vidhyamitra.com/city/mathura/1952-08-20","hi":"https://hi.vidhyamitra.com/city/mathura/1952-08-20","x-default":"https://vidhyamitra.com/city/mathura/1952-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T19:36:57.986Z","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":"2026-05-14T19:36:57.986Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T19:36:57.986Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}