{"id":"vidhyamitra:city-day:mathura:1952-01-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1952-01-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1952-01-13","date_display":"January 13, 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":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2434024.770833,"kali_year":5053,"ahargana":1845559.2708,"sun":{"sidereal_longitude":268.5928,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":99.0687,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":190.4759,"elapsed_within_tithi_degrees":10.4759},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":99.0687,"elapsed_within_degrees":5.7354},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":7.6615},"karana":{"half_tithi_index":31,"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":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2434024.770833,"ahargana":1845559.2708,"kali_year":5053,"ayanamsa_lahiri":23.1829,"grahas":{"sun":{"sidereal_longitude":268.610812,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":97.676512,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false,"latitude":2.5354},"mars":{"sidereal_longitude":184.12501199999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":247.100912,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":344.839712,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":229.76611200000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":171.96481199999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":313.3884,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":133.3884,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":1,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2434024.770833,"kali_year":5053,"ahargana":1845559.2708,"sun":{"sidereal_longitude":268.5928,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":99.0687,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":16,"name":"Pratipada","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pratipada","elongation_degrees":190.4759,"elapsed_within_tithi_degrees":10.4759},"nakshatra":{"number":8,"name":"Puṣya","pada":2,"moon_longitude":99.0687,"elapsed_within_degrees":5.7354},"yoga":{"number":1,"name":"Viṣkambha","sum_longitude":7.6615},"karana":{"half_tithi_index":31,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.535,"elongation":169.524},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.535,"opposition_distance":10.476}},"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":"07:12","sunsetLocal":"17:44","solarNoonLocal":"12:28","dayLengthHours":10.546088512284364,"dayLengthDisplay":"10 Hours 32 Mins 46 Secs","nightLengthDisplay":"13 Hours 27 Mins 14 Secs","moonriseLocal":"18:18","moonsetLocal":"07:51","rahuKala":{"name":"Rāhu Kāla","start":"16:25","end":"17:44","startHours":16.420468716962862,"endHours":17.73872978099841,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:28","end":"13:47","startHours":12.465685524856227,"endHours":13.783946588891773,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:06","end":"16:25","startHours":15.102207652927317,"endHours":16.420468716962862,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:39","end":"10:00","startHours":9.653395254913729,"endHours":10.004931538656543,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:38","end":"07:55","startHours":7.63206162339256,"endHours":7.913290650386809,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:07","end":"12:49","startHours":12.114149241113415,"endHours":12.817221808599038,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.786496133742796,"endHours":6.4895687012284204,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:12","startHours":6.313800559357015,"endHours":7.192641268714045,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:13","end":"14:56","startHours":14.223366943570287,"endHours":14.92643951105591,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:32","end":"17:56","startHours":17.53872978099841,"endHours":17.938729780998408,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:44","end":"18:11","startHours":17.73872978099841,"endHours":18.178150135676923,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:29","end":"19:14","startHours":17.48872978099841,"endHours":19.23872978099841,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:07","end":"00:49","startHours":24.114149241113413,"endHours":24.81722180859904,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:12","end":"08:31","startHours":7.192641268714045,"endHours":8.510902332749591,"quality":"inauspicious"},{"name":"Chala","start":"08:31","end":"09:50","startHours":8.510902332749591,"endHours":9.829163396785136,"quality":"neutral"},{"name":"Labha","start":"09:50","end":"11:09","startHours":9.829163396785136,"endHours":11.14742446082068,"quality":"auspicious"},{"name":"Amṛta","start":"11:09","end":"12:28","startHours":11.14742446082068,"endHours":12.465685524856227,"quality":"auspicious"},{"name":"Kāla","start":"12:28","end":"13:47","startHours":12.465685524856227,"endHours":13.783946588891773,"quality":"inauspicious"},{"name":"Śubha","start":"13:47","end":"15:06","startHours":13.783946588891773,"endHours":15.102207652927317,"quality":"auspicious"},{"name":"Roga","start":"15:06","end":"16:25","startHours":15.102207652927317,"endHours":16.420468716962862,"quality":"inauspicious"},{"name":"Udveg","start":"16:25","end":"17:44","startHours":16.420468716962862,"endHours":17.73872978099841,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:44","end":"19:25","startHours":17.73872978099841,"endHours":19.420468716962862,"quality":"auspicious"},{"name":"Roga","start":"19:25","end":"21:06","startHours":19.420468716962862,"endHours":21.10220765292732,"quality":"inauspicious"},{"name":"Udveg","start":"21:06","end":"22:47","startHours":21.10220765292732,"endHours":22.783946588891773,"quality":"inauspicious"},{"name":"Chala","start":"22:47","end":"00:28","startHours":22.783946588891773,"endHours":24.465685524856227,"quality":"neutral"},{"name":"Labha","start":"00:28","end":"02:09","startHours":24.465685524856227,"endHours":26.14742446082068,"quality":"auspicious"},{"name":"Amṛta","start":"02:09","end":"03:50","startHours":26.14742446082068,"endHours":27.829163396785134,"quality":"auspicious"},{"name":"Kāla","start":"03:50","end":"05:31","startHours":27.829163396785134,"endHours":29.51090233274959,"quality":"inauspicious"},{"name":"Śubha","start":"05:31","end":"07:12","startHours":29.51090233274959,"endHours":31.192641268714045,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:12","end":"08:12","startHours":7.192641268714045,"endHours":8.192641268714045,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:12","end":"09:12","startHours":8.192641268714045,"endHours":9.192641268714045,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:12","end":"10:12","startHours":9.192641268714045,"endHours":10.192641268714045,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:12","end":"11:12","startHours":10.192641268714045,"endHours":11.192641268714045,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:12","end":"12:12","startHours":11.192641268714045,"endHours":12.192641268714045,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:12","end":"13:12","startHours":12.192641268714045,"endHours":13.192641268714045,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:12","end":"14:12","startHours":13.192641268714045,"endHours":14.192641268714045,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:12","end":"15:12","startHours":14.192641268714045,"endHours":15.192641268714045,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:12","end":"16:12","startHours":15.192641268714045,"endHours":16.192641268714045,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:12","end":"17:12","startHours":16.192641268714045,"endHours":17.192641268714045,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:12","end":"18:12","startHours":17.192641268714045,"endHours":18.192641268714045,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:12","end":"19:12","startHours":18.192641268714045,"endHours":19.192641268714045,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:12","end":"20:12","startHours":19.192641268714045,"endHours":20.192641268714045,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:12","end":"21:12","startHours":20.192641268714045,"endHours":21.192641268714045,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:12","end":"22:12","startHours":21.192641268714045,"endHours":22.192641268714045,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:12","end":"23:12","startHours":22.192641268714045,"endHours":23.192641268714045,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:12","end":"00:12","startHours":23.192641268714045,"endHours":24.192641268714045,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:12","end":"01:12","startHours":24.192641268714045,"endHours":25.192641268714045,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:12","end":"02:12","startHours":25.192641268714045,"endHours":26.192641268714045,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:12","end":"03:12","startHours":26.192641268714045,"endHours":27.192641268714045,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:12","end":"04:12","startHours":27.192641268714045,"endHours":28.192641268714045,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:12","end":"05:12","startHours":28.192641268714045,"endHours":29.192641268714045,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:12","end":"06:12","startHours":29.192641268714045,"endHours":30.192641268714045,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:12","end":"07:12","startHours":30.192641268714045,"endHours":31.192641268714045,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"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":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"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":-21.672771146435963,"eotMinutes":-8.635931491373626,"ayanamsa":23.1829}},"calendars":{"vikram_samvat":2009,"vikram_samvatsara":"Viśvāvasu","saka_samvat":1874,"saka_samvatsara":"Nandana","bengali_samvat":1359,"malayalam_era":1128,"nanakshahi_year":483,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pratipada · Vikram 2009 Viśvāvasu · Śaka 1874 Nandana"},"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":"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":[]},"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 13, 1952 CE · Mathurā · Vidhyamitra","description":"January 13, 1952 CE for Mathurā: Kṛṣṇa Pratipada, sūryodaya 07:12, sūryāsta 17:44.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1952-01-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1952-01-13","sa":"https://sa.vidhyamitra.com/city/mathura/1952-01-13","hi":"https://hi.vidhyamitra.com/city/mathura/1952-01-13","x-default":"https://vidhyamitra.com/city/mathura/1952-01-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:05:22.431Z","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":"2026-05-14T14:05:22.431Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:05:22.431Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}