{"id":"vidhyamitra:city-day:mathura:1972-02-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1972-02-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1972-02-04","date_display":"February 4, 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":2,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2441351.770833,"kali_year":5073,"ahargana":1852886.2708,"sun":{"sidereal_longitude":290.9508,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":165.9352,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":234.9844,"elapsed_within_tithi_degrees":6.9844},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":165.9352,"elapsed_within_degrees":5.9352},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":96.886},"karana":{"half_tithi_index":39,"name":"Taitila"},"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":2,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2441351.770833,"ahargana":1852886.2708,"kali_year":5073,"ayanamsa_lahiri":23.4631,"grahas":{"sun":{"sidereal_longitude":290.8509670000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"moon":{"sidereal_longitude":163.53596700000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false,"latitude":-3.9259},"mars":{"sidereal_longitude":2.6017669999999953,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":281.92126699999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":246.72096699999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"venus":{"sidereal_longitude":329.282067,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":36.47376700000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":285.1687,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":105.1687,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","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":1972,"month":2,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2441351.770833,"kali_year":5073,"ahargana":1852886.2708,"sun":{"sidereal_longitude":290.9508,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":165.9352,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":234.9844,"elapsed_within_tithi_degrees":6.9844},"nakshatra":{"number":13,"name":"Hasta","pada":2,"moon_longitude":165.9352,"elapsed_within_degrees":5.9352},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":96.886},"karana":{"half_tithi_index":39,"name":"Taitila"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.926,"elongation":125.016},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.926,"opposition_distance":54.984}},"eclipse_window_40days":[{"offset_days":11,"type":"solar","occurs":true,"moon_latitude":1.275,"elongation":1.087}]},"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":"07:05","sunsetLocal":"18:02","solarNoonLocal":"12:33","dayLengthHours":10.947084939024336,"dayLengthDisplay":"10 Hours 56 Mins 50 Secs","nightLengthDisplay":"13 Hours 03 Mins 10 Secs","moonriseLocal":"22:07","moonsetLocal":"10:01","rahuKala":{"name":"Rāhu Kāla","start":"11:11","end":"12:33","startHours":11.18822978875518,"endHours":12.556615406133222,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:18","end":"16:40","startHours":15.293386640889306,"endHours":16.661772258267348,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:27","end":"09:49","startHours":8.451458553999096,"endHours":9.819844171377138,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:38","end":"10:00","startHours":9.637392755726733,"endHours":10.002295587027545,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:50","startHours":7.539201475747069,"endHours":7.831123740787717,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:12","end":"12:55","startHours":12.19171257483241,"endHours":12.921518237434034,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:37","end":"06:21","startHours":5.62346161141781,"endHours":6.353267274019433,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:10","end":"07:05","startHours":6.170815858369027,"endHours":7.083072936621055,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:23","end":"15:07","startHours":14.381129562637279,"endHours":15.1109352252389,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:50","end":"18:14","startHours":17.83015787564539,"endHours":18.23015787564539,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:02","end":"18:29","startHours":18.03015787564539,"endHours":18.486286414771403,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:47","end":"19:32","startHours":17.78015787564539,"endHours":19.53015787564539,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:12","end":"00:55","startHours":24.19171257483241,"endHours":24.921518237434032,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"07:05","end":"08:27","startHours":7.083072936621055,"endHours":8.451458553999096,"quality":"neutral"},{"name":"Labha","start":"08:27","end":"09:49","startHours":8.451458553999096,"endHours":9.819844171377138,"quality":"auspicious"},{"name":"Amṛta","start":"09:49","end":"11:11","startHours":9.819844171377138,"endHours":11.18822978875518,"quality":"auspicious"},{"name":"Kāla","start":"11:11","end":"12:33","startHours":11.18822978875518,"endHours":12.556615406133222,"quality":"inauspicious"},{"name":"Śubha","start":"12:33","end":"13:56","startHours":12.556615406133222,"endHours":13.925001023511264,"quality":"auspicious"},{"name":"Roga","start":"13:56","end":"15:18","startHours":13.925001023511264,"endHours":15.293386640889306,"quality":"inauspicious"},{"name":"Udveg","start":"15:18","end":"16:40","startHours":15.293386640889306,"endHours":16.661772258267348,"quality":"inauspicious"},{"name":"Chala","start":"16:40","end":"18:02","startHours":16.661772258267348,"endHours":18.03015787564539,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"18:02","end":"19:40","startHours":18.03015787564539,"endHours":19.661772258267348,"quality":"inauspicious"},{"name":"Udveg","start":"19:40","end":"21:18","startHours":19.661772258267348,"endHours":21.293386640889306,"quality":"inauspicious"},{"name":"Chala","start":"21:18","end":"22:56","startHours":21.293386640889306,"endHours":22.925001023511264,"quality":"neutral"},{"name":"Labha","start":"22:56","end":"00:33","startHours":22.925001023511264,"endHours":24.556615406133222,"quality":"auspicious"},{"name":"Amṛta","start":"00:33","end":"02:11","startHours":24.556615406133222,"endHours":26.18822978875518,"quality":"auspicious"},{"name":"Kāla","start":"02:11","end":"03:49","startHours":26.18822978875518,"endHours":27.819844171377138,"quality":"inauspicious"},{"name":"Śubha","start":"03:49","end":"05:27","startHours":27.819844171377138,"endHours":29.451458553999096,"quality":"auspicious"},{"name":"Roga","start":"05:27","end":"07:05","startHours":29.451458553999096,"endHours":31.083072936621054,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.083072936621055,"endHours":8.083072936621054,"planetary_lord":"Venus"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.083072936621054,"endHours":9.083072936621054,"planetary_lord":"Sun"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.083072936621054,"endHours":10.083072936621054,"planetary_lord":"Mars"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.083072936621054,"endHours":11.083072936621054,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.083072936621054,"endHours":12.083072936621054,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.083072936621054,"endHours":13.083072936621054,"planetary_lord":"Moon"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.083072936621054,"endHours":14.083072936621054,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.083072936621054,"endHours":15.083072936621054,"planetary_lord":"Venus"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.083072936621054,"endHours":16.083072936621054,"planetary_lord":"Sun"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.083072936621054,"endHours":17.083072936621054,"planetary_lord":"Mars"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.083072936621054,"endHours":18.083072936621054,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.083072936621054,"endHours":19.083072936621054,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.083072936621054,"endHours":20.083072936621054,"planetary_lord":"Moon"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.083072936621054,"endHours":21.083072936621054,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.083072936621054,"endHours":22.083072936621054,"planetary_lord":"Venus"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.083072936621054,"endHours":23.083072936621054,"planetary_lord":"Sun"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.083072936621054,"endHours":24.083072936621054,"planetary_lord":"Mars"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.083072936621054,"endHours":25.083072936621054,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.083072936621054,"endHours":26.083072936621054,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.083072936621054,"endHours":27.083072936621054,"planetary_lord":"Moon"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.083072936621054,"endHours":28.083072936621054,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.083072936621054,"endHours":29.083072936621054,"planetary_lord":"Venus"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.083072936621054,"endHours":30.083072936621054,"planetary_lord":"Sun"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.083072936621054,"endHours":31.083072936621054,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"South-East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-16.53410484375443,"eotMinutes":-14.091724367993354,"ayanamsa":23.4631}},"calendars":{"vikram_samvat":2029,"vikram_samvatsara":"Krodhana","saka_samvat":1894,"saka_samvatsara":"Paridhāvi","bengali_samvat":1379,"malayalam_era":1148,"nanakshahi_year":503,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Pañcamī · Vikram 2029 Krodhana · Śaka 1894 Paridhāvi"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2}],"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 February 4, 1972 CE · Mathurā · Vidhyamitra","description":"February 4, 1972 CE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 07:05, sūryāsta 18:02.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1972-02-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1972-02-04","sa":"https://sa.vidhyamitra.com/city/mathura/1972-02-04","hi":"https://hi.vidhyamitra.com/city/mathura/1972-02-04","x-default":"https://vidhyamitra.com/city/mathura/1972-02-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:55:56.500Z","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":"2026-05-14T14:55:56.500Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:55:56.500Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}