{"id":"vidhyamitra:city-day:mathura:1920-08-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1920-08-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1920-08-03","date_display":"August 3, 1920 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":1920,"month":8,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2422539.770833,"kali_year":5022,"ahargana":1834074.2708,"sun":{"sidereal_longitude":107.2752,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":324.2383,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":216.9631,"elapsed_within_tithi_degrees":0.9631},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.2383,"elapsed_within_degrees":4.2383},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":71.5135},"karana":{"half_tithi_index":36,"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":1920,"month":8,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2422539.770833,"ahargana":1834074.2708,"kali_year":5022,"ayanamsa_lahiri":22.7437,"grahas":{"sun":{"sidereal_longitude":107.636323,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":322.784323,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false,"latitude":3.8017},"mars":{"sidereal_longitude":199.19022300000006,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":98.23922299999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":122.51872300000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":117.112123,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":138.19332300000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":201.9189,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":21.9189,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":1920,"month":8,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2422539.770833,"kali_year":5022,"ahargana":1834074.2708,"sun":{"sidereal_longitude":107.2752,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":324.2383,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":216.9631,"elapsed_within_tithi_degrees":0.9631},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2,"moon_longitude":324.2383,"elapsed_within_degrees":4.2383},"yoga":{"number":6,"name":"Atigaṇḍa","sum_longitude":71.5135},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":4,"name":"Maṅgalavāra (Tuesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.802,"elongation":143.037},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.802,"opposition_distance":36.963}},"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":13.40316605692621,"dayLengthDisplay":"13 Hours 24 Mins 11 Secs","nightLengthDisplay":"10 Hours 35 Mins 49 Secs","moonriseLocal":"20:55","moonsetLocal":"08:37","rahuKala":{"name":"Rāhu Kāla","start":"15:46","end":"17:27","startHours":15.77052709683744,"endHours":17.445922853953217,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"09:04","end":"10:45","startHours":9.068944068374336,"endHours":10.744339825490112,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"12:25","end":"14:06","startHours":12.419735582605888,"endHours":14.095131339721664,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:51","end":"09:18","startHours":8.845557967425567,"endHours":9.292330169323106,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:17","end":"06:38","startHours":6.276617806514708,"endHours":6.634035568032741,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.972963380708348,"endHours":12.866507784503428,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:56","end":"04:49","startHours":3.9310637465526215,"endHours":4.824608150347703,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:36","end":"05:43","startHours":4.601222049398932,"endHours":5.718152554142783,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:39","end":"15:33","startHours":14.65359659209359,"endHours":15.547140995888672,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:55","end":"19:19","startHours":18.921318611068994,"endHours":19.321318611068993,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:07","end":"19:41","startHours":19.121318611068993,"endHours":19.679783863440917,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:52","end":"20:37","startHours":18.871318611068993,"endHours":20.621318611068993,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.972963380708347,"endHours":24.86650778450343,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Roga","start":"05:43","end":"07:24","startHours":5.718152554142783,"endHours":7.393548311258559,"quality":"inauspicious"},{"name":"Udveg","start":"07:24","end":"09:04","startHours":7.393548311258559,"endHours":9.068944068374336,"quality":"inauspicious"},{"name":"Chala","start":"09:04","end":"10:45","startHours":9.068944068374336,"endHours":10.744339825490112,"quality":"neutral"},{"name":"Labha","start":"10:45","end":"12:25","startHours":10.744339825490112,"endHours":12.419735582605888,"quality":"auspicious"},{"name":"Amṛta","start":"12:25","end":"14:06","startHours":12.419735582605888,"endHours":14.095131339721664,"quality":"auspicious"},{"name":"Kāla","start":"14:06","end":"15:46","startHours":14.095131339721664,"endHours":15.77052709683744,"quality":"inauspicious"},{"name":"Śubha","start":"15:46","end":"17:27","startHours":15.77052709683744,"endHours":17.445922853953217,"quality":"auspicious"},{"name":"Roga","start":"17:27","end":"19:07","startHours":17.445922853953217,"endHours":19.121318611068993,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Kāla","start":"19:07","end":"20:27","startHours":19.121318611068993,"endHours":20.445922853953217,"quality":"inauspicious"},{"name":"Śubha","start":"20:27","end":"21:46","startHours":20.445922853953217,"endHours":21.77052709683744,"quality":"auspicious"},{"name":"Roga","start":"21:46","end":"23:06","startHours":21.77052709683744,"endHours":23.095131339721664,"quality":"inauspicious"},{"name":"Udveg","start":"23:06","end":"00:25","startHours":23.095131339721664,"endHours":24.419735582605888,"quality":"inauspicious"},{"name":"Chala","start":"00:25","end":"01:45","startHours":24.419735582605888,"endHours":25.744339825490112,"quality":"neutral"},{"name":"Labha","start":"01:45","end":"03:04","startHours":25.744339825490112,"endHours":27.068944068374336,"quality":"auspicious"},{"name":"Amṛta","start":"03:04","end":"04:24","startHours":27.068944068374336,"endHours":28.39354831125856,"quality":"auspicious"},{"name":"Kāla","start":"04:24","end":"05:43","startHours":28.39354831125856,"endHours":29.718152554142783,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:43","end":"06:43","startHours":5.718152554142783,"endHours":6.718152554142783,"planetary_lord":"Mars"},{"name":"Hora 2","start":"06:43","end":"07:43","startHours":6.718152554142783,"endHours":7.718152554142783,"planetary_lord":"Jupiter"},{"name":"Hora 3","start":"07:43","end":"08:43","startHours":7.718152554142783,"endHours":8.718152554142783,"planetary_lord":"Saturn"},{"name":"Hora 4","start":"08:43","end":"09:43","startHours":8.718152554142783,"endHours":9.718152554142783,"planetary_lord":"Moon"},{"name":"Hora 5","start":"09:43","end":"10:43","startHours":9.718152554142783,"endHours":10.718152554142783,"planetary_lord":"Mercury"},{"name":"Hora 6","start":"10:43","end":"11:43","startHours":10.718152554142783,"endHours":11.718152554142783,"planetary_lord":"Venus"},{"name":"Hora 7","start":"11:43","end":"12:43","startHours":11.718152554142783,"endHours":12.718152554142783,"planetary_lord":"Sun"},{"name":"Hora 8","start":"12:43","end":"13:43","startHours":12.718152554142783,"endHours":13.718152554142783,"planetary_lord":"Mars"},{"name":"Hora 9","start":"13:43","end":"14:43","startHours":13.718152554142783,"endHours":14.718152554142783,"planetary_lord":"Jupiter"},{"name":"Hora 10","start":"14:43","end":"15:43","startHours":14.718152554142783,"endHours":15.718152554142783,"planetary_lord":"Saturn"},{"name":"Hora 11","start":"15:43","end":"16:43","startHours":15.718152554142783,"endHours":16.718152554142783,"planetary_lord":"Moon"},{"name":"Hora 12","start":"16:43","end":"17:43","startHours":16.718152554142783,"endHours":17.718152554142783,"planetary_lord":"Mercury"},{"name":"Hora 13","start":"17:43","end":"18:43","startHours":17.718152554142783,"endHours":18.718152554142783,"planetary_lord":"Venus"},{"name":"Hora 14","start":"18:43","end":"19:43","startHours":18.718152554142783,"endHours":19.718152554142783,"planetary_lord":"Sun"},{"name":"Hora 15","start":"19:43","end":"20:43","startHours":19.718152554142783,"endHours":20.718152554142783,"planetary_lord":"Mars"},{"name":"Hora 16","start":"20:43","end":"21:43","startHours":20.718152554142783,"endHours":21.718152554142783,"planetary_lord":"Jupiter"},{"name":"Hora 17","start":"21:43","end":"22:43","startHours":21.718152554142783,"endHours":22.718152554142783,"planetary_lord":"Saturn"},{"name":"Hora 18","start":"22:43","end":"23:43","startHours":22.718152554142783,"endHours":23.718152554142783,"planetary_lord":"Moon"},{"name":"Hora 19","start":"23:43","end":"00:43","startHours":23.718152554142783,"endHours":24.718152554142783,"planetary_lord":"Mercury"},{"name":"Hora 20","start":"00:43","end":"01:43","startHours":24.718152554142783,"endHours":25.718152554142783,"planetary_lord":"Venus"},{"name":"Hora 21","start":"01:43","end":"02:43","startHours":25.718152554142783,"endHours":26.718152554142783,"planetary_lord":"Sun"},{"name":"Hora 22","start":"02:43","end":"03:43","startHours":26.718152554142783,"endHours":27.718152554142783,"planetary_lord":"Mars"},{"name":"Hora 23","start":"03:43","end":"04:43","startHours":27.718152554142783,"endHours":28.718152554142783,"planetary_lord":"Jupiter"},{"name":"Hora 24","start":"04:43","end":"05:43","startHours":28.718152554142783,"endHours":29.718152554142783,"planetary_lord":"Saturn"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"Saumya","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":17.636578769894644,"eotMinutes":-5.878934956353266,"ayanamsa":22.7437}},"calendars":{"vikram_samvat":1977,"vikram_samvatsara":"Śrīmukha","saka_samvat":1842,"saka_samvatsara":"Raudra","bengali_samvat":1327,"malayalam_era":1096,"nanakshahi_year":451,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Caturthī · Vikram 1977 Śrīmukha · Śaka 1842 Raudra"},"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},{"id":"angarika-chaturthi","name":"Aṅgāraka Caturthī (Tuesday Caturthī)","name_sanskrit":"अङ्गारक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa + Maṅgala","significance":"Tuesday-Caturthī (rare); supremely auspicious for Maṅgala-doṣa-nivāraṇa.","vrata":true,"detection":{"any_of":[{"tithi_number":4,"vara_name":"Maṅgalavāra (Tuesday)"},{"tithi_number":19,"vara_name":"Maṅgalavāra (Tuesday)"}]},"precedence":3},{"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":"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 3, 1920 CE · Mathurā · Vidhyamitra","description":"August 3, 1920 CE for Mathurā: Kṛṣṇa Caturthī, sūryodaya 05:43, sūryāsta 19:07.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1920-08-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1920-08-03","sa":"https://sa.vidhyamitra.com/city/mathura/1920-08-03","hi":"https://hi.vidhyamitra.com/city/mathura/1920-08-03","x-default":"https://vidhyamitra.com/city/mathura/1920-08-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T13:34:18.761Z","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":"2026-05-14T13:34:18.761Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T13:34:18.761Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}