{"id":"vidhyamitra:city-day:mathura:1951-08-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1951-08-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1951-08-07","date_display":"August 7, 1951 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":1951,"month":8,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433865.770833,"kali_year":5053,"ahargana":1845400.2708,"sun":{"sidereal_longitude":110.1111,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":159.5187,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":49.4077,"elapsed_within_tithi_degrees":1.4077},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":159.5187,"elapsed_within_degrees":12.8521},"yoga":{"number":21,"name":"Siddha","sum_longitude":269.6298},"karana":{"half_tithi_index":8,"name":"Bava"},"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":1951,"month":8,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2433865.770833,"ahargana":1845400.2708,"kali_year":5053,"ayanamsa_lahiri":23.1768,"grahas":{"sun":{"sidereal_longitude":110.56468699999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":157.59738700000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false,"latitude":-1.3673},"mars":{"sidereal_longitude":90.13358699999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":138.28988700000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":351.664587,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":145.09598700000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":true},"saturn":{"sidereal_longitude":156.40328699999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":321.813,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":141.813,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":1951,"month":8,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433865.770833,"kali_year":5053,"ahargana":1845400.2708,"sun":{"sidereal_longitude":110.1111,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":159.5187,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":49.4077,"elapsed_within_tithi_degrees":1.4077},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4,"moon_longitude":159.5187,"elapsed_within_degrees":12.8521},"yoga":{"number":21,"name":"Siddha","sum_longitude":269.6298},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.367,"elongation":49.408},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.367,"opposition_distance":130.592}},"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":"05:45","sunsetLocal":"19:05","solarNoonLocal":"12:25","dayLengthHours":13.330092112695421,"dayLengthDisplay":"13 Hours 19 Mins 48 Secs","nightLengthDisplay":"10 Hours 40 Mins 12 Secs","moonriseLocal":"09:31","moonsetLocal":"21:35","rahuKala":{"name":"Rāhu Kāla","start":"15:45","end":"17:25","startHours":15.745541291759281,"endHours":17.411802805846207,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:05","end":"10:45","startHours":9.080495235411572,"endHours":10.746756749498498,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:25","end":"14:05","startHours":12.413018263585426,"endHours":14.079279777672355,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:18","startHours":8.858327033533314,"endHours":9.302663437289828,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:18","end":"06:40","startHours":6.303392711933358,"endHours":6.65886183493857,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:51","startHours":11.968681859828912,"endHours":12.85735466734194,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:58","end":"04:52","startHours":3.9706265922116595,"endHours":4.859299399724687,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:38","end":"05:45","startHours":4.637131197846431,"endHours":5.747972207237716,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:38","end":"15:31","startHours":14.634700282367998,"endHours":15.523373089881026,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:53","end":"19:17","startHours":18.878064319933138,"endHours":19.278064319933137,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:05","end":"19:38","startHours":19.078064319933137,"endHours":19.63348482462878,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:50","end":"20:35","startHours":18.828064319933137,"endHours":20.578064319933137,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:51","startHours":23.968681859828916,"endHours":24.85735466734194,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:45","end":"07:25","startHours":5.747972207237716,"endHours":7.414233721324644,"quality":"inauspicious"},{"name":"Udveg","start":"07:25","end":"09:05","startHours":7.414233721324644,"endHours":9.080495235411572,"quality":"inauspicious"},{"name":"Chala","start":"09:05","end":"10:45","startHours":9.080495235411572,"endHours":10.746756749498498,"quality":"neutral"},{"name":"Labha","start":"10:45","end":"12:25","startHours":10.746756749498498,"endHours":12.413018263585426,"quality":"auspicious"},{"name":"Amṛta","start":"12:25","end":"14:05","startHours":12.413018263585426,"endHours":14.079279777672355,"quality":"auspicious"},{"name":"Kāla","start":"14:05","end":"15:45","startHours":14.079279777672355,"endHours":15.745541291759281,"quality":"inauspicious"},{"name":"Śubha","start":"15:45","end":"17:25","startHours":15.745541291759281,"endHours":17.411802805846207,"quality":"auspicious"},{"name":"Roga","start":"17:25","end":"19:05","startHours":17.411802805846207,"endHours":19.078064319933137,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:05","end":"20:25","startHours":19.078064319933137,"endHours":20.41180280584621,"quality":"inauspicious"},{"name":"Śubha","start":"20:25","end":"21:45","startHours":20.41180280584621,"endHours":21.74554129175928,"quality":"auspicious"},{"name":"Roga","start":"21:45","end":"23:05","startHours":21.74554129175928,"endHours":23.079279777672355,"quality":"inauspicious"},{"name":"Udveg","start":"23:05","end":"00:25","startHours":23.079279777672355,"endHours":24.41301826358543,"quality":"inauspicious"},{"name":"Chala","start":"00:25","end":"01:45","startHours":24.41301826358543,"endHours":25.7467567494985,"quality":"neutral"},{"name":"Labha","start":"01:45","end":"03:05","startHours":25.7467567494985,"endHours":27.080495235411572,"quality":"auspicious"},{"name":"Amṛta","start":"03:05","end":"04:25","startHours":27.080495235411572,"endHours":28.414233721324642,"quality":"auspicious"},{"name":"Kāla","start":"04:25","end":"05:45","startHours":28.414233721324642,"endHours":29.747972207237716,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:45","end":"06:45","startHours":5.747972207237716,"endHours":6.747972207237716,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:45","end":"07:45","startHours":6.747972207237716,"endHours":7.747972207237716,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:45","end":"08:45","startHours":7.747972207237716,"endHours":8.747972207237716,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:45","end":"09:45","startHours":8.747972207237716,"endHours":9.747972207237716,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:45","end":"10:45","startHours":9.747972207237716,"endHours":10.747972207237716,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:45","end":"11:45","startHours":10.747972207237716,"endHours":11.747972207237716,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:45","end":"12:45","startHours":11.747972207237716,"endHours":12.747972207237716,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:45","end":"13:45","startHours":12.747972207237716,"endHours":13.747972207237716,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:45","end":"14:45","startHours":13.747972207237716,"endHours":14.747972207237716,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:45","end":"15:45","startHours":14.747972207237716,"endHours":15.747972207237716,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:45","end":"16:45","startHours":15.747972207237716,"endHours":16.747972207237716,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:45","end":"17:45","startHours":16.747972207237716,"endHours":17.747972207237716,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:45","end":"18:45","startHours":17.747972207237716,"endHours":18.747972207237716,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:45","end":"19:45","startHours":18.747972207237716,"endHours":19.747972207237716,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:45","end":"20:45","startHours":19.747972207237716,"endHours":20.747972207237716,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:45","end":"21:45","startHours":20.747972207237716,"endHours":21.747972207237716,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:45","end":"22:45","startHours":21.747972207237716,"endHours":22.747972207237716,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:45","end":"23:45","startHours":22.747972207237716,"endHours":23.747972207237716,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:45","end":"00:45","startHours":23.747972207237716,"endHours":24.747972207237716,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:45","end":"01:45","startHours":24.747972207237716,"endHours":25.747972207237716,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:45","end":"02:45","startHours":25.747972207237716,"endHours":26.747972207237716,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:45","end":"03:45","startHours":26.747972207237716,"endHours":27.747972207237716,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:45","end":"04:45","startHours":27.747972207237716,"endHours":28.747972207237716,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:45","end":"05:45","startHours":28.747972207237716,"endHours":29.747972207237716,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"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":"North (Uttara)","chandraVasa":"North-West","rahuVasa":"North","anandadiYoga":{"name":"Śubha","quality":"Auspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":16.69927849463461,"eotMinutes":-5.475895815125568,"ayanamsa":23.1768}},"calendars":{"vikram_samvat":2008,"vikram_samvatsara":"Krodhi","saka_samvat":1873,"saka_samvatsara":"Khara","bengali_samvat":1358,"malayalam_era":1127,"nanakshahi_year":482,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Pañcamī · Vikram 2008 Krodhi · Śaka 1873 Khara"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"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 August 7, 1951 CE · Mathurā · Vidhyamitra","description":"August 7, 1951 CE for Mathurā: Śukla Pañcamī, sūryodaya 05:45, sūryāsta 19:05.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1951-08-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1951-08-07","sa":"https://sa.vidhyamitra.com/city/mathura/1951-08-07","hi":"https://hi.vidhyamitra.com/city/mathura/1951-08-07","x-default":"https://vidhyamitra.com/city/mathura/1951-08-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:50:21.936Z","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":"2026-05-14T14:50:21.936Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:50:21.936Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}