{"id":"vidhyamitra:city-day:mathura:1950-08-04:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1950-08-04","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1950-08-04","date_display":"August 4, 1950 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":1950,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433497.770833,"kali_year":5052,"ahargana":1845032.2708,"sun":{"sidereal_longitude":107.501,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":358.633,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":251.1319,"elapsed_within_tithi_degrees":11.1319},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":358.633,"elapsed_within_degrees":11.9663},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":106.134},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"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":1950,"month":8,"day":4,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2433497.770833,"ahargana":1845032.2708,"kali_year":5052,"ayanamsa_lahiri":23.1628,"grahas":{"sun":{"sidereal_longitude":107.93654700000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":358.214847,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":4},"retrograde":false,"latitude":1.3386},"mars":{"sidereal_longitude":183.56914700000004,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":130.53424700000005,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":312.97664699999996,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":true},"venus":{"sidereal_longitude":82.31134700000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":144.61634700000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":341.3114,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":161.3114,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":1950,"month":8,"day":4,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2433497.770833,"kali_year":5052,"ahargana":1845032.2708,"sun":{"sidereal_longitude":107.501,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":358.633,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":251.1319,"elapsed_within_tithi_degrees":11.1319},"nakshatra":{"number":27,"name":"Revatī","pada":4,"moon_longitude":358.633,"elapsed_within_degrees":11.9663},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":106.134},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.339,"elongation":108.868},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.339,"opposition_distance":71.132}},"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":"05:43","sunsetLocal":"19:07","solarNoonLocal":"12:25","dayLengthHours":13.387824879680888,"dayLengthDisplay":"13 Hours 23 Mins 16 Secs","nightLengthDisplay":"10 Hours 36 Mins 44 Secs","moonriseLocal":"22:46","moonsetLocal":"11:26","rahuKala":{"name":"Rāhu Kāla","start":"10:45","end":"12:25","startHours":10.744839647773851,"endHours":12.418317757733963,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:46","end":"17:26","startHours":15.765273977654186,"endHours":17.438752087614297,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:24","end":"09:04","startHours":7.39788342785363,"endHours":9.071361537813742,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:18","startHours":8.848231123152393,"endHours":9.29449195247509,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:17","end":"06:38","startHours":6.28223135454689,"endHours":6.639240018005047,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.972056928411268,"endHours":12.864578587056661,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:56","end":"04:50","startHours":3.9393620006027343,"endHours":4.831883659248127,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:37","end":"05:43","startHours":4.6087532445867785,"endHours":5.7244053178935195,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:33","startHours":14.649621904347445,"endHours":15.542143562992838,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:55","end":"19:19","startHours":18.91223019757441,"endHours":19.312230197574408,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:07","end":"19:40","startHours":19.11223019757441,"endHours":19.67005623422778,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:52","end":"20:37","startHours":18.86223019757441,"endHours":20.61223019757441,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.97205692841127,"endHours":24.864578587056663,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:43","end":"07:24","startHours":5.7244053178935195,"endHours":7.39788342785363,"quality":"neutral"},{"name":"Labha","start":"07:24","end":"09:04","startHours":7.39788342785363,"endHours":9.071361537813742,"quality":"auspicious"},{"name":"Amṛta","start":"09:04","end":"10:45","startHours":9.071361537813742,"endHours":10.744839647773851,"quality":"auspicious"},{"name":"Kāla","start":"10:45","end":"12:25","startHours":10.744839647773851,"endHours":12.418317757733963,"quality":"inauspicious"},{"name":"Śubha","start":"12:25","end":"14:06","startHours":12.418317757733963,"endHours":14.091795867694074,"quality":"auspicious"},{"name":"Roga","start":"14:06","end":"15:46","startHours":14.091795867694074,"endHours":15.765273977654186,"quality":"inauspicious"},{"name":"Udveg","start":"15:46","end":"17:26","startHours":15.765273977654186,"endHours":17.438752087614297,"quality":"inauspicious"},{"name":"Chala","start":"17:26","end":"19:07","startHours":17.438752087614297,"endHours":19.11223019757441,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:07","end":"20:26","startHours":19.11223019757441,"endHours":20.438752087614297,"quality":"inauspicious"},{"name":"Udveg","start":"20:26","end":"21:46","startHours":20.438752087614297,"endHours":21.765273977654186,"quality":"inauspicious"},{"name":"Chala","start":"21:46","end":"23:06","startHours":21.765273977654186,"endHours":23.091795867694074,"quality":"neutral"},{"name":"Labha","start":"23:06","end":"00:25","startHours":23.091795867694074,"endHours":24.418317757733966,"quality":"auspicious"},{"name":"Amṛta","start":"00:25","end":"01:45","startHours":24.418317757733966,"endHours":25.74483964777385,"quality":"auspicious"},{"name":"Kāla","start":"01:45","end":"03:04","startHours":25.74483964777385,"endHours":27.071361537813743,"quality":"inauspicious"},{"name":"Śubha","start":"03:04","end":"04:24","startHours":27.071361537813743,"endHours":28.397883427853632,"quality":"auspicious"},{"name":"Roga","start":"04:24","end":"05:43","startHours":28.397883427853632,"endHours":29.72440531789352,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:43","end":"06:43","startHours":5.7244053178935195,"endHours":6.7244053178935195,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:43","end":"07:43","startHours":6.7244053178935195,"endHours":7.7244053178935195,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:43","end":"08:43","startHours":7.7244053178935195,"endHours":8.72440531789352,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:43","end":"09:43","startHours":8.72440531789352,"endHours":9.72440531789352,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:43","end":"10:43","startHours":9.72440531789352,"endHours":10.72440531789352,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:43","end":"11:43","startHours":10.72440531789352,"endHours":11.72440531789352,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:43","end":"12:43","startHours":11.72440531789352,"endHours":12.72440531789352,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:43","end":"13:43","startHours":12.72440531789352,"endHours":13.72440531789352,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:43","end":"14:43","startHours":13.72440531789352,"endHours":14.72440531789352,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:43","end":"15:43","startHours":14.72440531789352,"endHours":15.72440531789352,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:43","end":"16:43","startHours":15.72440531789352,"endHours":16.72440531789352,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:43","end":"17:43","startHours":16.72440531789352,"endHours":17.72440531789352,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:43","end":"18:43","startHours":17.72440531789352,"endHours":18.72440531789352,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:43","end":"19:43","startHours":18.72440531789352,"endHours":19.72440531789352,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:43","end":"20:43","startHours":19.72440531789352,"endHours":20.72440531789352,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:43","end":"21:43","startHours":20.72440531789352,"endHours":21.72440531789352,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:43","end":"22:43","startHours":21.72440531789352,"endHours":22.72440531789352,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:43","end":"23:43","startHours":22.72440531789352,"endHours":23.72440531789352,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:43","end":"00:43","startHours":23.72440531789352,"endHours":24.72440531789352,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:43","end":"01:43","startHours":24.72440531789352,"endHours":25.72440531789352,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:43","end":"02:43","startHours":25.72440531789352,"endHours":26.72440531789352,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:43","end":"03:43","startHours":26.72440531789352,"endHours":27.72440531789352,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:43","end":"04:43","startHours":27.72440531789352,"endHours":28.72440531789352,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:43","end":"05:43","startHours":28.72440531789352,"endHours":29.72440531789352,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"South-East","anandadiYoga":{"name":"Siddhi","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":17.440762583876666,"eotMinutes":-5.793865464037833,"ayanamsa":23.1628}},"calendars":{"vikram_samvat":2007,"vikram_samvatsara":"Śobhana","saka_samvat":1872,"saka_samvatsara":"Vikṛti","bengali_samvat":1357,"malayalam_era":1126,"nanakshahi_year":481,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Ṣaṣṭhī · Vikram 2007 Śobhana · Śaka 1872 Vikṛti"},"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":"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 August 4, 1950 CE · Mathurā · Vidhyamitra","description":"August 4, 1950 CE for Mathurā: Kṛṣṇa Ṣaṣṭhī, sūryodaya 05:43, sūryāsta 19:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1950-08-04","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1950-08-04","sa":"https://sa.vidhyamitra.com/city/mathura/1950-08-04","hi":"https://hi.vidhyamitra.com/city/mathura/1950-08-04","x-default":"https://vidhyamitra.com/city/mathura/1950-08-04"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T17:12:33.150Z","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":"2026-05-14T17:12:33.150Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T17:12:33.150Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}