{"id":"vidhyamitra:city-day:mathura:1963-03-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1963-03-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1963-03-31","date_display":"March 31, 1963 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":1963,"month":3,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438119.770833,"kali_year":5064,"ahargana":1849654.2708,"sun":{"sidereal_longitude":346.5293,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":59.3662,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":72.8369,"elapsed_within_tithi_degrees":0.8369},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":59.3662,"elapsed_within_degrees":6.0329},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.8956},"karana":{"half_tithi_index":12,"name":"Gara"},"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":1963,"month":3,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438119.770833,"ahargana":1849654.2708,"kali_year":5064,"ayanamsa_lahiri":23.3395,"grahas":{"sun":{"sidereal_longitude":346.275253,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":62.52345300000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false,"latitude":-2.7095},"mars":{"sidereal_longitude":103.69285300000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":346.775753,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":336.413453,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":308.37795299999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":297.2749530000001,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":96.4156,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":276.4156,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"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":1963,"month":3,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438119.770833,"kali_year":5064,"ahargana":1849654.2708,"sun":{"sidereal_longitude":346.5293,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":59.3662,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":72.8369,"elapsed_within_tithi_degrees":0.8369},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":59.3662,"elapsed_within_degrees":6.0329},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":45.8956},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.709,"elongation":72.837},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.709,"opposition_distance":107.163}},"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":"06:12","sunsetLocal":"18:36","solarNoonLocal":"12:24","dayLengthHours":12.390330303140853,"dayLengthDisplay":"12 Hours 23 Mins 25 Secs","nightLengthDisplay":"11 Hours 36 Mins 35 Secs","moonriseLocal":"10:34","moonsetLocal":"00:24","rahuKala":{"name":"Rāhu Kāla","start":"17:03","end":"18:36","startHours":17.045822220612592,"endHours":18.5946135085052,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:24","end":"13:57","startHours":12.399448356934775,"endHours":13.948239644827382,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:30","end":"17:03","startHours":15.497030932719987,"endHours":17.045822220612592,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:06","end":"09:31","startHours":9.095360276097214,"endHours":9.508371286201909,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:43","end":"07:03","startHours":6.720546967995217,"endHours":7.050955776078973,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:59","end":"12:49","startHours":11.98643734683008,"endHours":12.81245936703947,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:33","end":"05:23","startHours":4.552239164945568,"endHours":5.378261185154958,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:10","end":"06:12","startHours":5.17175568010261,"endHours":6.204283205364348,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:28","end":"15:17","startHours":14.464503407458249,"endHours":15.290525427667639,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:24","end":"18:48","startHours":18.394613508505202,"endHours":18.7946135085052,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:36","end":"19:07","startHours":18.5946135085052,"endHours":19.11087727113607,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:21","end":"20:06","startHours":18.3446135085052,"endHours":20.0946135085052,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:59","end":"00:49","startHours":23.98643734683008,"endHours":24.812459367039473,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:12","end":"07:45","startHours":6.204283205364348,"endHours":7.753074493256955,"quality":"inauspicious"},{"name":"Chala","start":"07:45","end":"09:18","startHours":7.753074493256955,"endHours":9.301865781149562,"quality":"neutral"},{"name":"Labha","start":"09:18","end":"10:51","startHours":9.301865781149562,"endHours":10.850657069042168,"quality":"auspicious"},{"name":"Amṛta","start":"10:51","end":"12:24","startHours":10.850657069042168,"endHours":12.399448356934775,"quality":"auspicious"},{"name":"Kāla","start":"12:24","end":"13:57","startHours":12.399448356934775,"endHours":13.948239644827382,"quality":"inauspicious"},{"name":"Śubha","start":"13:57","end":"15:30","startHours":13.948239644827382,"endHours":15.497030932719987,"quality":"auspicious"},{"name":"Roga","start":"15:30","end":"17:03","startHours":15.497030932719987,"endHours":17.045822220612592,"quality":"inauspicious"},{"name":"Udveg","start":"17:03","end":"18:36","startHours":17.045822220612592,"endHours":18.5946135085052,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:36","end":"20:03","startHours":18.5946135085052,"endHours":20.045822220612596,"quality":"auspicious"},{"name":"Roga","start":"20:03","end":"21:30","startHours":20.045822220612596,"endHours":21.497030932719987,"quality":"inauspicious"},{"name":"Udveg","start":"21:30","end":"22:57","startHours":21.497030932719987,"endHours":22.94823964482738,"quality":"inauspicious"},{"name":"Chala","start":"22:57","end":"00:24","startHours":22.94823964482738,"endHours":24.399448356934776,"quality":"neutral"},{"name":"Labha","start":"00:24","end":"01:51","startHours":24.399448356934776,"endHours":25.850657069042168,"quality":"auspicious"},{"name":"Amṛta","start":"01:51","end":"03:18","startHours":25.850657069042168,"endHours":27.301865781149562,"quality":"auspicious"},{"name":"Kāla","start":"03:18","end":"04:45","startHours":27.301865781149562,"endHours":28.753074493256953,"quality":"inauspicious"},{"name":"Śubha","start":"04:45","end":"06:12","startHours":28.753074493256953,"endHours":30.204283205364348,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:12","end":"07:12","startHours":6.204283205364348,"endHours":7.204283205364348,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:12","end":"08:12","startHours":7.204283205364348,"endHours":8.204283205364348,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:12","end":"09:12","startHours":8.204283205364348,"endHours":9.204283205364348,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:12","end":"10:12","startHours":9.204283205364348,"endHours":10.204283205364348,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:12","end":"11:12","startHours":10.204283205364348,"endHours":11.204283205364348,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:12","end":"12:12","startHours":11.204283205364348,"endHours":12.204283205364348,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:12","end":"13:12","startHours":12.204283205364348,"endHours":13.204283205364348,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:12","end":"14:12","startHours":13.204283205364348,"endHours":14.204283205364348,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:12","end":"15:12","startHours":14.204283205364348,"endHours":15.204283205364348,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:12","end":"16:12","startHours":15.204283205364348,"endHours":16.204283205364348,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:12","end":"17:12","startHours":16.204283205364348,"endHours":17.204283205364348,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:12","end":"18:12","startHours":17.204283205364348,"endHours":18.204283205364348,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:12","end":"19:12","startHours":18.204283205364348,"endHours":19.204283205364348,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:12","end":"20:12","startHours":19.204283205364348,"endHours":20.204283205364348,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:12","end":"21:12","startHours":20.204283205364348,"endHours":21.204283205364348,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:12","end":"22:12","startHours":21.204283205364348,"endHours":22.204283205364348,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:12","end":"23:12","startHours":22.204283205364348,"endHours":23.204283205364348,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:12","end":"00:12","startHours":23.204283205364348,"endHours":24.204283205364348,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:12","end":"01:12","startHours":24.204283205364348,"endHours":25.204283205364348,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:12","end":"02:12","startHours":25.204283205364348,"endHours":26.204283205364348,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:12","end":"03:12","startHours":26.204283205364348,"endHours":27.204283205364348,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:12","end":"04:12","startHours":27.204283205364348,"endHours":28.204283205364348,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:12","end":"05:12","startHours":28.204283205364348,"endHours":29.204283205364348,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:12","end":"06:12","startHours":29.204283205364348,"endHours":30.204283205364348,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Saumya","quality":"Auspicious"},"drikRitu":"Vasanta (Spring) (Drik)","vedicRitu":"Śiśira (Winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":3.8089819316938422,"eotMinutes":-4.661701416086492,"ayanamsa":23.3395}},"calendars":{"vikram_samvat":2020,"vikram_samvatsara":"Nala","saka_samvat":1885,"saka_samvatsara":"Śobhana","bengali_samvat":1370,"malayalam_era":1139,"nanakshahi_year":494,"lunar_month":"Caitra","lunar_month_paksha_full":"Caitra Śukla Pakṣa","solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Śukla Saptamī · Vikram 2020 Nala · Śaka 1885 Śobhana"},"festivals":[{"id":"mina-sankranti","name":"Mīna Saṅkrānti","name_sanskrit":"मीन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Pisces; Mīna-māsa begins.","vrata":false,"detection":{"sun_rashi":"Mīna"},"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 March 31, 1963 CE · Mathurā · Vidhyamitra","description":"March 31, 1963 CE for Mathurā: Śukla Saptamī, sūryodaya 06:12, sūryāsta 18:36.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1963-03-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1963-03-31","sa":"https://sa.vidhyamitra.com/city/mathura/1963-03-31","hi":"https://hi.vidhyamitra.com/city/mathura/1963-03-31","x-default":"https://vidhyamitra.com/city/mathura/1963-03-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:49:23.422Z","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":"2026-05-14T15:49:23.422Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:49:23.422Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}