{"id":"vidhyamitra:city-day:mathura:1972-07-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1972-07-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1972-07-14","date_display":"July 14, 1972 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":1972,"month":7,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2441512.770833,"kali_year":5074,"ahargana":1853047.2708,"sun":{"sidereal_longitude":87.8626,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":129.6722,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":41.8096,"elapsed_within_tithi_degrees":5.8096},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.6722,"elapsed_within_degrees":9.6722},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":217.5348},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":1972,"month":7,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2441512.770833,"ahargana":1853047.2708,"kali_year":5074,"ayanamsa_lahiri":23.4693,"grahas":{"sun":{"sidereal_longitude":88.222915,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":129.082515,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":false,"latitude":-2.4513},"mars":{"sidereal_longitude":106.65131500000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":114.82001500000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":248.19451500000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"venus":{"sidereal_longitude":55.42951499999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":52.22321499999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":276.6381,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":96.6381,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":1972,"month":7,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2441512.770833,"kali_year":5074,"ahargana":1853047.2708,"sun":{"sidereal_longitude":87.8626,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":129.6722,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":41.8096,"elapsed_within_tithi_degrees":5.8096},"nakshatra":{"number":10,"name":"Maghā","pada":3,"moon_longitude":129.6722,"elapsed_within_degrees":9.6722},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":217.5348},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.451,"elongation":41.81},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.451,"opposition_distance":138.19}},"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":"05:33","sunsetLocal":"19:17","solarNoonLocal":"12:25","dayLengthHours":13.730675472209832,"dayLengthDisplay":"13 Hours 43 Mins 50 Secs","nightLengthDisplay":"10 Hours 16 Mins 10 Secs","moonriseLocal":"08:43","moonsetLocal":"21:33","rahuKala":{"name":"Rāhu Kāla","start":"10:42","end":"12:25","startHours":10.696692674081095,"endHours":12.413027108107325,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:51","end":"17:34","startHours":15.845695976159782,"endHours":17.56203041018601,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:16","end":"08:59","startHours":7.2640238060286375,"endHours":8.980358240054866,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.751513648851368,"endHours":9.209202831258363,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.119800850011152,"endHours":6.485952195936747,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.95533792570033,"endHours":12.87071629051432,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:38","startHours":3.716932642374431,"endHours":4.63231100718842,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:33","startHours":4.403466415984923,"endHours":5.5476893720024085,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.701473020142299,"endHours":15.616851384956288,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.078364844212242,"endHours":19.47836484421224,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.27836484421224,"endHours":19.850476322220985,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.02836484421224,"endHours":20.77836484421224,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.95533792570033,"endHours":24.87071629051432,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:33","end":"07:16","startHours":5.5476893720024085,"endHours":7.2640238060286375,"quality":"neutral"},{"name":"Labha","start":"07:16","end":"08:59","startHours":7.2640238060286375,"endHours":8.980358240054866,"quality":"auspicious"},{"name":"Amṛta","start":"08:59","end":"10:42","startHours":8.980358240054866,"endHours":10.696692674081095,"quality":"auspicious"},{"name":"Kāla","start":"10:42","end":"12:25","startHours":10.696692674081095,"endHours":12.413027108107325,"quality":"inauspicious"},{"name":"Śubha","start":"12:25","end":"14:08","startHours":12.413027108107325,"endHours":14.129361542133555,"quality":"auspicious"},{"name":"Roga","start":"14:08","end":"15:51","startHours":14.129361542133555,"endHours":15.845695976159782,"quality":"inauspicious"},{"name":"Udveg","start":"15:51","end":"17:34","startHours":15.845695976159782,"endHours":17.56203041018601,"quality":"inauspicious"},{"name":"Chala","start":"17:34","end":"19:17","startHours":17.56203041018601,"endHours":19.27836484421224,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:17","end":"20:34","startHours":19.27836484421224,"endHours":20.56203041018601,"quality":"inauspicious"},{"name":"Udveg","start":"20:34","end":"21:51","startHours":20.56203041018601,"endHours":21.84569597615978,"quality":"inauspicious"},{"name":"Chala","start":"21:51","end":"23:08","startHours":21.84569597615978,"endHours":23.129361542133555,"quality":"neutral"},{"name":"Labha","start":"23:08","end":"00:25","startHours":23.129361542133555,"endHours":24.413027108107325,"quality":"auspicious"},{"name":"Amṛta","start":"00:25","end":"01:42","startHours":24.413027108107325,"endHours":25.696692674081095,"quality":"auspicious"},{"name":"Kāla","start":"01:42","end":"02:59","startHours":25.696692674081095,"endHours":26.98035824005487,"quality":"inauspicious"},{"name":"Śubha","start":"02:59","end":"04:16","startHours":26.98035824005487,"endHours":28.26402380602864,"quality":"auspicious"},{"name":"Roga","start":"04:16","end":"05:33","startHours":28.26402380602864,"endHours":29.54768937200241,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.5476893720024085,"endHours":6.5476893720024085,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.5476893720024085,"endHours":7.5476893720024085,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.5476893720024085,"endHours":8.54768937200241,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.54768937200241,"endHours":9.54768937200241,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.54768937200241,"endHours":10.54768937200241,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.54768937200241,"endHours":11.54768937200241,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.54768937200241,"endHours":12.54768937200241,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.54768937200241,"endHours":13.54768937200241,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.54768937200241,"endHours":14.54768937200241,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.54768937200241,"endHours":15.54768937200241,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.54768937200241,"endHours":16.54768937200241,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.54768937200241,"endHours":17.54768937200241,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.54768937200241,"endHours":18.54768937200241,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.54768937200241,"endHours":19.54768937200241,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.54768937200241,"endHours":20.54768937200241,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.54768937200241,"endHours":21.54768937200241,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.54768937200241,"endHours":22.54768937200241,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.54768937200241,"endHours":23.54768937200241,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.54768937200241,"endHours":24.54768937200241,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.54768937200241,"endHours":25.54768937200241,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.54768937200241,"endHours":26.54768937200241,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.54768937200241,"endHours":27.54768937200241,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.54768937200241,"endHours":28.54768937200241,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.54768937200241,"endHours":29.54768937200241,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"West","rahuVasa":"South-East","anandadiYoga":{"name":"Kāladaṇḍa","quality":"Inauspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.688863904895932,"eotMinutes":-5.476426486439539,"ayanamsa":23.4693}},"calendars":{"vikram_samvat":2029,"vikram_samvatsara":"Krodhana","saka_samvat":1894,"saka_samvatsara":"Paridhāvi","bengali_samvat":1379,"malayalam_era":1148,"nanakshahi_year":503,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Caturthī · Vikram 2029 Krodhana · Śaka 1894 Paridhāvi"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — 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 July 14, 1972 CE · Mathurā · Vidhyamitra","description":"July 14, 1972 CE for Mathurā: Śukla Caturthī, sūryodaya 05:33, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1972-07-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1972-07-14","sa":"https://sa.vidhyamitra.com/city/mathura/1972-07-14","hi":"https://hi.vidhyamitra.com/city/mathura/1972-07-14","x-default":"https://vidhyamitra.com/city/mathura/1972-07-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:32:23.465Z","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":"2026-05-14T18:32:23.465Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T18:32:23.465Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}