{"id":"vidhyamitra:city-day:mathura:1972-01-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1972-01-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1972-01-05","date_display":"January 5, 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":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2441321.770833,"kali_year":5073,"ahargana":1852856.2708,"sun":{"sidereal_longitude":260.191,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":132.271,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":232.0799,"elapsed_within_tithi_degrees":4.0799},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":132.271,"elapsed_within_degrees":12.271},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":32.462},"karana":{"half_tithi_index":38,"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":1972,"month":1,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2441321.770833,"ahargana":1852856.2708,"kali_year":5073,"ayanamsa_lahiri":23.462,"grahas":{"sun":{"sidereal_longitude":260.326013,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":131.380513,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false,"latitude":-1.9366},"mars":{"sidereal_longitude":342.923513,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":238.29491299999995,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":240.51111300000002,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":1},"retrograde":false},"venus":{"sidereal_longitude":292.69491300000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":37.12091299999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":286.7582,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":106.7582,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":1,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2441321.770833,"kali_year":5073,"ahargana":1852856.2708,"sun":{"sidereal_longitude":260.191,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":132.271,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":232.0799,"elapsed_within_tithi_degrees":4.0799},"nakshatra":{"number":10,"name":"Maghā","pada":4,"moon_longitude":132.271,"elapsed_within_degrees":12.271},"yoga":{"number":3,"name":"Āyuṣmān","sum_longitude":32.462},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.937,"elongation":127.92},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.937,"opposition_distance":52.08}},"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":"17:39","solarNoonLocal":"12:25","dayLengthHours":10.460477456570906,"dayLengthDisplay":"10 Hours 27 Mins 38 Secs","nightLengthDisplay":"13 Hours 32 Mins 22 Secs","moonriseLocal":"21:26","moonsetLocal":"10:12","rahuKala":{"name":"Rāhu Kāla","start":"12:25","end":"13:43","startHours":12.412632843736052,"endHours":13.720192525807414,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:29","end":"09:48","startHours":8.489953797521961,"endHours":9.797513479593324,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:06","end":"12:25","startHours":11.105073161664688,"endHours":12.412632843736052,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:37","end":"09:58","startHours":9.623172188650475,"endHours":9.971854770536172,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.618247342807719,"endHours":7.8971934083162765,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:04","end":"12:46","startHours":12.063950261850355,"endHours":12.76131542562175,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:47","end":"06:29","startHours":5.78766378790781,"endHours":6.485028951679205,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:19","end":"07:11","startHours":6.310687660736356,"endHours":7.182394115450598,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:09","end":"14:51","startHours":14.156045753164536,"endHours":14.85341091693593,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:27","end":"17:51","startHours":17.442871572021506,"endHours":17.842871572021505,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:39","end":"18:05","startHours":17.642871572021505,"endHours":18.078724799378627,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:24","end":"19:09","startHours":17.392871572021505,"endHours":19.142871572021505,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:04","end":"00:46","startHours":24.063950261850355,"endHours":24.76131542562175,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:11","end":"08:29","startHours":7.182394115450598,"endHours":8.489953797521961,"quality":"auspicious"},{"name":"Amṛta","start":"08:29","end":"09:48","startHours":8.489953797521961,"endHours":9.797513479593324,"quality":"auspicious"},{"name":"Kāla","start":"09:48","end":"11:06","startHours":9.797513479593324,"endHours":11.105073161664688,"quality":"inauspicious"},{"name":"Śubha","start":"11:06","end":"12:25","startHours":11.105073161664688,"endHours":12.412632843736052,"quality":"auspicious"},{"name":"Roga","start":"12:25","end":"13:43","startHours":12.412632843736052,"endHours":13.720192525807414,"quality":"inauspicious"},{"name":"Udveg","start":"13:43","end":"15:02","startHours":13.720192525807414,"endHours":15.027752207878777,"quality":"inauspicious"},{"name":"Chala","start":"15:02","end":"16:20","startHours":15.027752207878777,"endHours":16.33531188995014,"quality":"neutral"},{"name":"Labha","start":"16:20","end":"17:39","startHours":16.33531188995014,"endHours":17.642871572021505,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"17:39","end":"19:20","startHours":17.642871572021505,"endHours":19.33531188995014,"quality":"inauspicious"},{"name":"Chala","start":"19:20","end":"21:02","startHours":19.33531188995014,"endHours":21.027752207878777,"quality":"neutral"},{"name":"Labha","start":"21:02","end":"22:43","startHours":21.027752207878777,"endHours":22.720192525807416,"quality":"auspicious"},{"name":"Amṛta","start":"22:43","end":"00:25","startHours":22.720192525807416,"endHours":24.412632843736052,"quality":"auspicious"},{"name":"Kāla","start":"00:25","end":"02:06","startHours":24.412632843736052,"endHours":26.105073161664688,"quality":"inauspicious"},{"name":"Śubha","start":"02:06","end":"03:48","startHours":26.105073161664688,"endHours":27.797513479593327,"quality":"auspicious"},{"name":"Roga","start":"03:48","end":"05:29","startHours":27.797513479593327,"endHours":29.489953797521963,"quality":"inauspicious"},{"name":"Udveg","start":"05:29","end":"07:11","startHours":29.489953797521963,"endHours":31.1823941154506,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.182394115450598,"endHours":8.182394115450599,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.182394115450599,"endHours":9.182394115450599,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.182394115450599,"endHours":10.182394115450599,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.182394115450599,"endHours":11.182394115450599,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.182394115450599,"endHours":12.182394115450599,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.182394115450599,"endHours":13.182394115450599,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.182394115450599,"endHours":14.182394115450599,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.182394115450599,"endHours":15.182394115450599,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.182394115450599,"endHours":16.1823941154506,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.1823941154506,"endHours":17.1823941154506,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.1823941154506,"endHours":18.1823941154506,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.1823941154506,"endHours":19.1823941154506,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.1823941154506,"endHours":20.1823941154506,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.1823941154506,"endHours":21.1823941154506,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.1823941154506,"endHours":22.1823941154506,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.1823941154506,"endHours":23.1823941154506,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.1823941154506,"endHours":24.1823941154506,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.1823941154506,"endHours":25.1823941154506,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.1823941154506,"endHours":26.1823941154506,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.1823941154506,"endHours":27.1823941154506,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.1823941154506,"endHours":28.1823941154506,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.1823941154506,"endHours":29.1823941154506,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.1823941154506,"endHours":30.1823941154506,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.1823941154506,"endHours":31.1823941154506,"planetary_lord":"Sun"}],"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":"North (Uttara)","chandraVasa":"West","rahuVasa":"South-West","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"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":-22.722697216458293,"eotMinutes":-5.452770624163118,"ayanamsa":23.462}},"calendars":{"vikram_samvat":2029,"vikram_samvatsara":"Krodhana","saka_samvat":1894,"saka_samvatsara":"Paridhāvi","bengali_samvat":1379,"malayalam_era":1148,"nanakshahi_year":503,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Kṛṣṇa Pakṣa","solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Kṛṣṇa Pañcamī · Vikram 2029 Krodhana · Śaka 1894 Paridhāvi"},"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":"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 January 5, 1972 CE · Mathurā · Vidhyamitra","description":"January 5, 1972 CE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 07:11, sūryāsta 17:39.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1972-01-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1972-01-05","sa":"https://sa.vidhyamitra.com/city/mathura/1972-01-05","hi":"https://hi.vidhyamitra.com/city/mathura/1972-01-05","x-default":"https://vidhyamitra.com/city/mathura/1972-01-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T16:58:19.070Z","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":"2026-05-14T16:58:19.071Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T16:58:19.071Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}