{"id":"vidhyamitra:city-day:mathura:1963-04-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1963-04-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1963-04-13","date_display":"April 13, 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":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438132.770833,"kali_year":5064,"ahargana":1849667.2708,"sun":{"sidereal_longitude":359.2879,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":226.4272,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":227.1393,"elapsed_within_tithi_degrees":11.1393},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":226.4272,"elapsed_within_degrees":13.0939},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":225.7151},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":4,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2438132.770833,"ahargana":1849667.2708,"kali_year":5064,"ayanamsa_lahiri":23.34,"grahas":{"sun":{"sidereal_longitude":359.065356,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":222.77175599999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false,"latitude":3.4101},"mars":{"sidereal_longitude":106.50025599999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":13.24345599999998,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":339.500456,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":323.888956,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":298.372656,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":95.7268,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":275.7268,"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":4,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2438132.770833,"kali_year":5064,"ahargana":1849667.2708,"sun":{"sidereal_longitude":359.2879,"rashi":12,"rashi_name":"Mīna"},"moon":{"sidereal_longitude":226.4272,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":227.1393,"elapsed_within_tithi_degrees":11.1393},"nakshatra":{"number":17,"name":"Anurādhā","pada":4,"moon_longitude":226.4272,"elapsed_within_degrees":13.0939},"yoga":{"number":17,"name":"Vyatīpāta","sum_longitude":225.7151},"karana":{"half_tithi_index":37,"name":"Bālava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.41,"elongation":132.861},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.41,"opposition_distance":47.139}},"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":"05:58","sunsetLocal":"18:42","solarNoonLocal":"12:20","dayLengthHours":12.737545284377191,"dayLengthDisplay":"12 Hours 44 Mins 15 Secs","nightLengthDisplay":"11 Hours 15 Mins 45 Secs","moonriseLocal":"21:59","moonsetLocal":"08:31","rahuKala":{"name":"Rāhu Kāla","start":"09:09","end":"10:45","startHours":9.150197192734108,"endHours":10.742390353281255,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:56","end":"15:31","startHours":13.926776674375553,"endHours":15.518969834922704,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:58","end":"07:33","startHours":5.9658108716398095,"endHours":7.558004032186958,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:22","startHours":8.93790477132782,"endHours":9.362489614140394,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:30","end":"06:50","startHours":6.496541925155526,"endHours":6.836209799405585,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:55","end":"12:46","startHours":11.909998671015833,"endHours":12.759168356640979,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:16","end":"05:07","startHours":4.267471500389517,"endHours":5.116641186014664,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:54","end":"05:58","startHours":4.904348764608377,"endHours":5.9658108716398095,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:27","end":"15:18","startHours":14.457507727891269,"endHours":15.306677413516415,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:30","end":"18:54","startHours":18.503356156017002,"endHours":18.903356156017,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:42","end":"19:14","startHours":18.703356156017,"endHours":19.234087209532717,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:27","end":"20:12","startHours":18.453356156017,"endHours":20.203356156017,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:55","end":"00:46","startHours":23.90999867101583,"endHours":24.75916835664098,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:58","end":"07:33","startHours":5.9658108716398095,"endHours":7.558004032186958,"quality":"inauspicious"},{"name":"Śubha","start":"07:33","end":"09:09","startHours":7.558004032186958,"endHours":9.150197192734108,"quality":"auspicious"},{"name":"Roga","start":"09:09","end":"10:45","startHours":9.150197192734108,"endHours":10.742390353281255,"quality":"inauspicious"},{"name":"Udveg","start":"10:45","end":"12:20","startHours":10.742390353281255,"endHours":12.334583513828406,"quality":"inauspicious"},{"name":"Chala","start":"12:20","end":"13:56","startHours":12.334583513828406,"endHours":13.926776674375553,"quality":"neutral"},{"name":"Labha","start":"13:56","end":"15:31","startHours":13.926776674375553,"endHours":15.518969834922704,"quality":"auspicious"},{"name":"Amṛta","start":"15:31","end":"17:07","startHours":15.518969834922704,"endHours":17.11116299546985,"quality":"auspicious"},{"name":"Kāla","start":"17:07","end":"18:42","startHours":17.11116299546985,"endHours":18.703356156017,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:42","end":"20:07","startHours":18.703356156017,"endHours":20.111162995469854,"quality":"auspicious"},{"name":"Amṛta","start":"20:07","end":"21:31","startHours":20.111162995469854,"endHours":21.518969834922704,"quality":"auspicious"},{"name":"Kāla","start":"21:31","end":"22:56","startHours":21.518969834922704,"endHours":22.926776674375553,"quality":"inauspicious"},{"name":"Śubha","start":"22:56","end":"00:20","startHours":22.926776674375553,"endHours":24.334583513828406,"quality":"auspicious"},{"name":"Roga","start":"00:20","end":"01:45","startHours":24.334583513828406,"endHours":25.74239035328126,"quality":"inauspicious"},{"name":"Udveg","start":"01:45","end":"03:09","startHours":25.74239035328126,"endHours":27.150197192734108,"quality":"inauspicious"},{"name":"Chala","start":"03:09","end":"04:33","startHours":27.150197192734108,"endHours":28.558004032186957,"quality":"neutral"},{"name":"Labha","start":"04:33","end":"05:58","startHours":28.558004032186957,"endHours":29.96581087163981,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:58","end":"06:58","startHours":5.9658108716398095,"endHours":6.9658108716398095,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:58","end":"07:58","startHours":6.9658108716398095,"endHours":7.9658108716398095,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:58","end":"08:58","startHours":7.9658108716398095,"endHours":8.96581087163981,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:58","end":"09:58","startHours":8.96581087163981,"endHours":9.96581087163981,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:58","end":"10:58","startHours":9.96581087163981,"endHours":10.96581087163981,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:58","end":"11:58","startHours":10.96581087163981,"endHours":11.96581087163981,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:58","end":"12:58","startHours":11.96581087163981,"endHours":12.96581087163981,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:58","end":"13:58","startHours":12.96581087163981,"endHours":13.96581087163981,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:58","end":"14:58","startHours":13.96581087163981,"endHours":14.96581087163981,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:58","end":"15:58","startHours":14.96581087163981,"endHours":15.96581087163981,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:58","end":"16:58","startHours":15.96581087163981,"endHours":16.96581087163981,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:58","end":"17:58","startHours":16.96581087163981,"endHours":17.96581087163981,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:58","end":"18:58","startHours":17.96581087163981,"endHours":18.96581087163981,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:58","end":"19:58","startHours":18.96581087163981,"endHours":19.96581087163981,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:58","end":"20:58","startHours":19.96581087163981,"endHours":20.96581087163981,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:58","end":"21:58","startHours":20.96581087163981,"endHours":21.96581087163981,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:58","end":"22:58","startHours":21.96581087163981,"endHours":22.96581087163981,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:58","end":"23:58","startHours":22.96581087163981,"endHours":23.96581087163981,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:58","end":"00:58","startHours":23.96581087163981,"endHours":24.96581087163981,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:58","end":"01:58","startHours":24.96581087163981,"endHours":25.96581087163981,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:58","end":"02:58","startHours":25.96581087163981,"endHours":26.96581087163981,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:58","end":"03:58","startHours":26.96581087163981,"endHours":27.96581087163981,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:58","end":"04:58","startHours":27.96581087163981,"endHours":28.96581087163981,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:58","end":"05:58","startHours":28.96581087163981,"endHours":29.96581087163981,"planetary_lord":"Mercury"}],"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","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-East","rahuVasa":"East","anandadiYoga":{"name":"Mānasa","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":8.719569436397896,"eotMinutes":-0.7698108297043191,"ayanamsa":23.34}},"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 Kṛṣṇa Pakṣa","solar_month":"Mīna (Paṅkuṇi)","ritu":"Vasanta (Spring)","display_summary":"Caitra Kṛṣṇa Caturthī · 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},{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 April 13, 1963 CE · Mathurā · Vidhyamitra","description":"April 13, 1963 CE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 05:58, sūryāsta 18:42.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1963-04-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1963-04-13","sa":"https://sa.vidhyamitra.com/city/mathura/1963-04-13","hi":"https://hi.vidhyamitra.com/city/mathura/1963-04-13","x-default":"https://vidhyamitra.com/city/mathura/1963-04-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:45:53.585Z","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":"2026-05-14T13:45:53.585Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:45:53.585Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}