{"id":"vidhyamitra:city-day:mathura:1957-07-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1957-07-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1957-07-16","date_display":"July 16, 1957 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":1957,"month":7,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2436035.770833,"kali_year":5059,"ahargana":1847570.2708,"sun":{"sidereal_longitude":89.6447,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":318.4948,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":228.8501,"elapsed_within_tithi_degrees":0.8501},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":318.4948,"elapsed_within_degrees":11.8281},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":48.1394},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"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":1957,"month":7,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2436035.770833,"ahargana":1847570.2708,"kali_year":5059,"ayanamsa_lahiri":23.2598,"grahas":{"sun":{"sidereal_longitude":89.98087699999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":315.41307699999993,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false,"latitude":4.1817},"mars":{"sidereal_longitude":112.68457699999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":103.62307699999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":153.30177700000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":115.11357700000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":225.45227699999998,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":206.8359,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":26.8359,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":1957,"month":7,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2436035.770833,"kali_year":5059,"ahargana":1847570.2708,"sun":{"sidereal_longitude":89.6447,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":318.4948,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":228.8501,"elapsed_within_tithi_degrees":0.8501},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":318.4948,"elapsed_within_degrees":11.8281},"yoga":{"number":4,"name":"Saubhāgya","sum_longitude":48.1394},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.182,"elongation":131.15},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.182,"opposition_distance":48.85}},"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":"05:34","sunsetLocal":"19:16","solarNoonLocal":"12:25","dayLengthHours":13.709608280387464,"dayLengthDisplay":"13 Hours 42 Mins 35 Secs","nightLengthDisplay":"10 Hours 17 Mins 25 Secs","moonriseLocal":"21:42","moonsetLocal":"09:12","rahuKala":{"name":"Rāhu Kāla","start":"15:51","end":"17:33","startHours":15.843867747034814,"endHours":17.557568782083248,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:59","end":"10:42","startHours":8.989063606841082,"endHours":10.702764641889516,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:25","end":"14:08","startHours":12.41646567693795,"endHours":14.130166711986384,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:13","startHours":8.760570135501291,"endHours":9.217557078180874,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:30","startHours":6.132895215093694,"endHours":6.49848476923736,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.959478734258367,"endHours":12.873452619617533,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:39","startHours":3.733713766025889,"endHours":4.647687651385053,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:34","startHours":4.419194180045261,"endHours":5.561661536744217,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.70140039033586,"endHours":15.615374275695023,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:04","end":"19:28","startHours":19.071269817131682,"endHours":19.47126981713168,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:16","end":"19:51","startHours":19.27126981713168,"endHours":19.84250349548116,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:01","end":"20:46","startHours":19.02126981713168,"endHours":20.77126981713168,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.95947873425837,"endHours":24.87345261961753,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:34","end":"07:17","startHours":5.561661536744217,"endHours":7.27536257179265,"quality":"inauspicious"},{"name":"Udveg","start":"07:17","end":"08:59","startHours":7.27536257179265,"endHours":8.989063606841082,"quality":"inauspicious"},{"name":"Chala","start":"08:59","end":"10:42","startHours":8.989063606841082,"endHours":10.702764641889516,"quality":"neutral"},{"name":"Labha","start":"10:42","end":"12:25","startHours":10.702764641889516,"endHours":12.41646567693795,"quality":"auspicious"},{"name":"Amṛta","start":"12:25","end":"14:08","startHours":12.41646567693795,"endHours":14.130166711986384,"quality":"auspicious"},{"name":"Kāla","start":"14:08","end":"15:51","startHours":14.130166711986384,"endHours":15.843867747034814,"quality":"inauspicious"},{"name":"Śubha","start":"15:51","end":"17:33","startHours":15.843867747034814,"endHours":17.557568782083248,"quality":"auspicious"},{"name":"Roga","start":"17:33","end":"19:16","startHours":17.557568782083248,"endHours":19.27126981713168,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:16","end":"20:33","startHours":19.27126981713168,"endHours":20.557568782083248,"quality":"inauspicious"},{"name":"Śubha","start":"20:33","end":"21:51","startHours":20.557568782083248,"endHours":21.843867747034814,"quality":"auspicious"},{"name":"Roga","start":"21:51","end":"23:08","startHours":21.843867747034814,"endHours":23.130166711986384,"quality":"inauspicious"},{"name":"Udveg","start":"23:08","end":"00:25","startHours":23.130166711986384,"endHours":24.41646567693795,"quality":"inauspicious"},{"name":"Chala","start":"00:25","end":"01:42","startHours":24.41646567693795,"endHours":25.702764641889516,"quality":"neutral"},{"name":"Labha","start":"01:42","end":"02:59","startHours":25.702764641889516,"endHours":26.989063606841086,"quality":"auspicious"},{"name":"Amṛta","start":"02:59","end":"04:17","startHours":26.989063606841086,"endHours":28.275362571792652,"quality":"auspicious"},{"name":"Kāla","start":"04:17","end":"05:34","startHours":28.275362571792652,"endHours":29.561661536744218,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:34","end":"06:34","startHours":5.561661536744217,"endHours":6.561661536744217,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:34","end":"07:34","startHours":6.561661536744217,"endHours":7.561661536744217,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:34","end":"08:34","startHours":7.561661536744217,"endHours":8.561661536744218,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:34","end":"09:34","startHours":8.561661536744218,"endHours":9.561661536744218,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:34","end":"10:34","startHours":9.561661536744218,"endHours":10.561661536744218,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:34","end":"11:34","startHours":10.561661536744218,"endHours":11.561661536744218,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:34","end":"12:34","startHours":11.561661536744218,"endHours":12.561661536744218,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:34","end":"13:34","startHours":12.561661536744218,"endHours":13.561661536744218,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:34","end":"14:34","startHours":13.561661536744218,"endHours":14.561661536744218,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:34","end":"15:34","startHours":14.561661536744218,"endHours":15.561661536744218,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:34","end":"16:34","startHours":15.561661536744218,"endHours":16.561661536744218,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:34","end":"17:34","startHours":16.561661536744218,"endHours":17.561661536744218,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:34","end":"18:34","startHours":17.561661536744218,"endHours":18.561661536744218,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:34","end":"19:34","startHours":18.561661536744218,"endHours":19.561661536744218,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:34","end":"20:34","startHours":19.561661536744218,"endHours":20.561661536744218,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:34","end":"21:34","startHours":20.561661536744218,"endHours":21.561661536744218,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:34","end":"22:34","startHours":21.561661536744218,"endHours":22.561661536744218,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:34","end":"23:34","startHours":22.561661536744218,"endHours":23.561661536744218,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:34","end":"00:34","startHours":23.561661536744218,"endHours":24.561661536744218,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:34","end":"01:34","startHours":24.561661536744218,"endHours":25.561661536744218,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:34","end":"02:34","startHours":25.561661536744218,"endHours":26.561661536744218,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:34","end":"03:34","startHours":26.561661536744218,"endHours":27.561661536744218,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:34","end":"04:34","startHours":27.561661536744218,"endHours":28.561661536744218,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:34","end":"05:34","startHours":28.561661536744218,"endHours":29.561661536744218,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"North","anandadiYoga":{"name":"Prajāpati","quality":"Auspicious"},"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":21.435810387088587,"eotMinutes":-5.682740616276977,"ayanamsa":23.2598}},"calendars":{"vikram_samvat":2014,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":1879,"saka_samvatsara":"Hemalambī","bengali_samvat":1364,"malayalam_era":1133,"nanakshahi_year":488,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Pañcamī · Vikram 2014 Sādhāraṇa · Śaka 1879 Hemalambī"},"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}],"todays_walk":{"walk":{"id":"mangala-walk","name":"Maṅgala Walk","name_sanskrit":"मङ्गल यात्रा","type":"graha","description":"Right action + BG 2.31-38 (kṣatriya-dharma).","step_count":7,"url":"/walk/mangala-walk"},"reason":"Maṅgalavāra (Tuesday) — 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 16, 1957 CE · Mathurā · Vidhyamitra","description":"July 16, 1957 CE for Mathurā: Kṛṣṇa Pañcamī, sūryodaya 05:34, sūryāsta 19:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1957-07-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1957-07-16","sa":"https://sa.vidhyamitra.com/city/mathura/1957-07-16","hi":"https://hi.vidhyamitra.com/city/mathura/1957-07-16","x-default":"https://vidhyamitra.com/city/mathura/1957-07-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:51:19.022Z","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":"2026-05-14T14:51:19.022Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:51:19.022Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}