{"id":"vidhyamitra:city-day:mathura:1952-10-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1952-10-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1952-10-01","date_display":"October 1, 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":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2434286.770833,"kali_year":5054,"ahargana":1845821.2708,"sun":{"sidereal_longitude":163.9777,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":312.3221,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.3444,"elapsed_within_tithi_degrees":4.3444},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":312.3221,"elapsed_within_degrees":5.6554},"yoga":{"number":9,"name":"Śūla","sum_longitude":116.2998},"karana":{"half_tithi_index":24,"name":"Kaulava"},"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":10,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2434286.770833,"ahargana":1845821.2708,"kali_year":5054,"ayanamsa_lahiri":23.1929,"grahas":{"sun":{"sidereal_longitude":164.60900200000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":310.632302,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":0.9972},"mars":{"sidereal_longitude":239.68180200000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":170.19140200000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":27.46280200000001,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":191.54190199999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":173.76050199999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":299.5064,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":119.5064,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":10,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2434286.770833,"kali_year":5054,"ahargana":1845821.2708,"sun":{"sidereal_longitude":163.9777,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":312.3221,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.3444,"elapsed_within_tithi_degrees":4.3444},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2,"moon_longitude":312.3221,"elapsed_within_degrees":5.6554},"yoga":{"number":9,"name":"Śūla","sum_longitude":116.2998},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":0.997,"elongation":148.344},"lunar":{"type":"lunar","occurs":false,"moon_latitude":0.997,"opposition_distance":31.656}},"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":"06:11","sunsetLocal":"18:05","solarNoonLocal":"12:08","dayLengthHours":11.910422526980415,"dayLengthDisplay":"11 Hours 54 Mins 38 Secs","nightLengthDisplay":"12 Hours 05 Mins 22 Secs","moonriseLocal":"16:11","moonsetLocal":"03:34","rahuKala":{"name":"Rāhu Kāla","start":"12:08","end":"13:37","startHours":12.135623930223591,"endHours":13.624426746096145,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:40","end":"09:09","startHours":7.669215482605937,"endHours":9.158018298478488,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:39","end":"12:08","startHours":10.646821114351042,"endHours":12.135623930223591,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:21","startHours":8.959511256362148,"endHours":9.356525340594828,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:41","end":"07:00","startHours":6.676680272024235,"endHours":6.99429153941038,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:44","end":"12:32","startHours":11.738609845990913,"endHours":12.532638014456273,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:36","end":"05:23","startHours":4.592356329802662,"endHours":5.386384498268024,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:11","end":"06:11","startHours":5.187877456151683,"endHours":6.1804126667333845,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:07","end":"14:55","startHours":14.120694351386994,"endHours":14.914722519852356,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:53","end":"18:17","startHours":17.8908351937138,"endHours":18.2908351937138,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:05","end":"18:35","startHours":18.0908351937138,"endHours":18.58710279900465,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:50","end":"19:35","startHours":17.8408351937138,"endHours":19.5908351937138,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:44","end":"00:32","startHours":23.738609845990915,"endHours":24.532638014456275,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:11","end":"07:40","startHours":6.1804126667333845,"endHours":7.669215482605937,"quality":"auspicious"},{"name":"Amṛta","start":"07:40","end":"09:09","startHours":7.669215482605937,"endHours":9.158018298478488,"quality":"auspicious"},{"name":"Kāla","start":"09:09","end":"10:39","startHours":9.158018298478488,"endHours":10.646821114351042,"quality":"inauspicious"},{"name":"Śubha","start":"10:39","end":"12:08","startHours":10.646821114351042,"endHours":12.135623930223591,"quality":"auspicious"},{"name":"Roga","start":"12:08","end":"13:37","startHours":12.135623930223591,"endHours":13.624426746096145,"quality":"inauspicious"},{"name":"Udveg","start":"13:37","end":"15:07","startHours":13.624426746096145,"endHours":15.113229561968698,"quality":"inauspicious"},{"name":"Chala","start":"15:07","end":"16:36","startHours":15.113229561968698,"endHours":16.602032377841248,"quality":"neutral"},{"name":"Labha","start":"16:36","end":"18:05","startHours":16.602032377841248,"endHours":18.0908351937138,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:05","end":"19:36","startHours":18.0908351937138,"endHours":19.602032377841248,"quality":"inauspicious"},{"name":"Chala","start":"19:36","end":"21:07","startHours":19.602032377841248,"endHours":21.113229561968698,"quality":"neutral"},{"name":"Labha","start":"21:07","end":"22:37","startHours":21.113229561968698,"endHours":22.624426746096145,"quality":"auspicious"},{"name":"Amṛta","start":"22:37","end":"00:08","startHours":22.624426746096145,"endHours":24.135623930223595,"quality":"auspicious"},{"name":"Kāla","start":"00:08","end":"01:39","startHours":24.135623930223595,"endHours":25.64682111435104,"quality":"inauspicious"},{"name":"Śubha","start":"01:39","end":"03:09","startHours":25.64682111435104,"endHours":27.15801829847849,"quality":"auspicious"},{"name":"Roga","start":"03:09","end":"04:40","startHours":27.15801829847849,"endHours":28.669215482605935,"quality":"inauspicious"},{"name":"Udveg","start":"04:40","end":"06:11","startHours":28.669215482605935,"endHours":30.180412666733385,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:11","end":"07:11","startHours":6.1804126667333845,"endHours":7.1804126667333845,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:11","end":"08:11","startHours":7.1804126667333845,"endHours":8.180412666733385,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:11","end":"09:11","startHours":8.180412666733385,"endHours":9.180412666733385,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:11","end":"10:11","startHours":9.180412666733385,"endHours":10.180412666733385,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:11","end":"11:11","startHours":10.180412666733385,"endHours":11.180412666733385,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:11","end":"12:11","startHours":11.180412666733385,"endHours":12.180412666733385,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:11","end":"13:11","startHours":12.180412666733385,"endHours":13.180412666733385,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:11","end":"14:11","startHours":13.180412666733385,"endHours":14.180412666733385,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:11","end":"15:11","startHours":14.180412666733385,"endHours":15.180412666733385,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:11","end":"16:11","startHours":15.180412666733385,"endHours":16.180412666733385,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:11","end":"17:11","startHours":16.180412666733385,"endHours":17.180412666733385,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:11","end":"18:11","startHours":17.180412666733385,"endHours":18.180412666733385,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:11","end":"19:11","startHours":18.180412666733385,"endHours":19.180412666733385,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:11","end":"20:11","startHours":19.180412666733385,"endHours":20.180412666733385,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:11","end":"21:11","startHours":20.180412666733385,"endHours":21.180412666733385,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:11","end":"22:11","startHours":21.180412666733385,"endHours":22.180412666733385,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:11","end":"23:11","startHours":22.180412666733385,"endHours":23.180412666733385,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:11","end":"00:11","startHours":23.180412666733385,"endHours":24.180412666733385,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:11","end":"01:11","startHours":24.180412666733385,"endHours":25.180412666733385,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:11","end":"02:11","startHours":25.180412666733385,"endHours":26.180412666733385,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:11","end":"03:11","startHours":26.180412666733385,"endHours":27.180412666733385,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:11","end":"04:11","startHours":27.180412666733385,"endHours":28.180412666733385,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:11","end":"05:11","startHours":28.180412666733385,"endHours":29.180412666733385,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:11","end":"06:11","startHours":29.180412666733385,"endHours":30.180412666733385,"planetary_lord":"Sun"}],"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","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"drikRitu":"Śarad (Autumn) (Drik)","vedicRitu":"Varṣā (Monsoon)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-3.0949940113353764,"eotMinutes":11.167764186584405,"ayanamsa":23.1929}},"calendars":{"vikram_samvat":2009,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1874,"saka_samvatsara":"Nandana","bengali_samvat":1359,"malayalam_era":1128,"nanakshahi_year":483,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Trayodaśī · Vikram 2009 Viśvāvasu · Śaka 1874 Nandana"},"festivals":[{"id":"kanya-sankranti","name":"Kanyā Saṅkrānti (Mahālaya begins)","name_sanskrit":"कन्या सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Virgo; Mahālaya / Pitṛ-Pakṣa solar marker.","vrata":false,"detection":{"sun_rashi":"Kanyā"},"precedence":4},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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":[]},"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 October 1, 1952 CE · Mathurā · Vidhyamitra","description":"October 1, 1952 CE for Mathurā: Śukla Trayodaśī, sūryodaya 06:11, sūryāsta 18:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1952-10-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1952-10-01","sa":"https://sa.vidhyamitra.com/city/mathura/1952-10-01","hi":"https://hi.vidhyamitra.com/city/mathura/1952-10-01","x-default":"https://vidhyamitra.com/city/mathura/1952-10-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:38:22.901Z","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":"2026-05-14T15:38:22.901Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:38:22.901Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}