{"id":"vidhyamitra:city-day:mathura:1931-08-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1931-08-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1931-08-01","date_display":"August 1, 1931 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":1931,"month":8,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2426554.770833,"kali_year":5033,"ahargana":1838089.2708,"sun":{"sidereal_longitude":104.5679,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":315.6443,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.0764,"elapsed_within_tithi_degrees":7.0764},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":315.6443,"elapsed_within_degrees":8.9776},"yoga":{"number":5,"name":"Śobhana","sum_longitude":60.2122},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"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":1931,"month":8,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2426554.770833,"ahargana":1838089.2708,"kali_year":5033,"ayanamsa_lahiri":22.8972,"grahas":{"sun":{"sidereal_longitude":104.93942099999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":313.2725210000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":2},"retrograde":false,"latitude":-2.4846},"mars":{"sidereal_longitude":157.65982099999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":132.10292099999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":100.98152099999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"venus":{"sidereal_longitude":95.50982099999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":266.1566210000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":349.1849,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":169.1849,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","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":1931,"month":8,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2426554.770833,"kali_year":5033,"ahargana":1838089.2708,"sun":{"sidereal_longitude":104.5679,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":315.6443,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":211.0764,"elapsed_within_tithi_degrees":7.0764},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3,"moon_longitude":315.6443,"elapsed_within_degrees":8.9776},"yoga":{"number":5,"name":"Śobhana","sum_longitude":60.2122},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.485,"elongation":148.924},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.485,"opposition_distance":31.076}},"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":"05:42","sunsetLocal":"19:09","solarNoonLocal":"12:25","dayLengthHours":13.456030274002075,"dayLengthDisplay":"13 Hours 27 Mins 22 Secs","nightLengthDisplay":"10 Hours 32 Mins 38 Secs","moonriseLocal":"20:35","moonsetLocal":"08:02","rahuKala":{"name":"Rāhu Kāla","start":"09:03","end":"10:44","startHours":9.058040262611321,"endHours":10.74004404686158,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:06","end":"15:47","startHours":14.1040516153621,"endHours":15.786055399612358,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:42","end":"07:23","startHours":5.694032694110802,"endHours":7.376036478361061,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:17","startHours":8.833773091377953,"endHours":9.282307433844688,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:15","end":"06:37","startHours":6.254700622194221,"endHours":6.6135280961676095,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.973513488645104,"endHours":12.870582173578576,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:54","end":"04:48","startHours":3.8998953242438583,"endHours":4.79696400917733,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:34","end":"05:42","startHours":4.572696837943962,"endHours":5.694032694110802,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:34","startHours":14.664719543445518,"endHours":15.561788228378989,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:57","end":"19:21","startHours":18.950062968112878,"endHours":19.350062968112876,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:09","end":"19:43","startHours":19.150062968112877,"endHours":19.710730896196296,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:54","end":"20:39","startHours":18.900062968112877,"endHours":20.650062968112877,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.973513488645104,"endHours":24.870582173578576,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:42","end":"07:23","startHours":5.694032694110802,"endHours":7.376036478361061,"quality":"inauspicious"},{"name":"Śubha","start":"07:23","end":"09:03","startHours":7.376036478361061,"endHours":9.058040262611321,"quality":"auspicious"},{"name":"Roga","start":"09:03","end":"10:44","startHours":9.058040262611321,"endHours":10.74004404686158,"quality":"inauspicious"},{"name":"Udveg","start":"10:44","end":"12:25","startHours":10.74004404686158,"endHours":12.42204783111184,"quality":"inauspicious"},{"name":"Chala","start":"12:25","end":"14:06","startHours":12.42204783111184,"endHours":14.1040516153621,"quality":"neutral"},{"name":"Labha","start":"14:06","end":"15:47","startHours":14.1040516153621,"endHours":15.786055399612358,"quality":"auspicious"},{"name":"Amṛta","start":"15:47","end":"17:28","startHours":15.786055399612358,"endHours":17.468059183862618,"quality":"auspicious"},{"name":"Kāla","start":"17:28","end":"19:09","startHours":17.468059183862618,"endHours":19.150062968112877,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:09","end":"20:28","startHours":19.150062968112877,"endHours":20.468059183862618,"quality":"auspicious"},{"name":"Amṛta","start":"20:28","end":"21:47","startHours":20.468059183862618,"endHours":21.78605539961236,"quality":"auspicious"},{"name":"Kāla","start":"21:47","end":"23:06","startHours":21.78605539961236,"endHours":23.1040516153621,"quality":"inauspicious"},{"name":"Śubha","start":"23:06","end":"00:25","startHours":23.1040516153621,"endHours":24.42204783111184,"quality":"auspicious"},{"name":"Roga","start":"00:25","end":"01:44","startHours":24.42204783111184,"endHours":25.74004404686158,"quality":"inauspicious"},{"name":"Udveg","start":"01:44","end":"03:03","startHours":25.74004404686158,"endHours":27.05804026261132,"quality":"inauspicious"},{"name":"Chala","start":"03:03","end":"04:23","startHours":27.05804026261132,"endHours":28.376036478361062,"quality":"neutral"},{"name":"Labha","start":"04:23","end":"05:42","startHours":28.376036478361062,"endHours":29.694032694110803,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:42","end":"06:42","startHours":5.694032694110802,"endHours":6.694032694110802,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:42","end":"07:42","startHours":6.694032694110802,"endHours":7.694032694110802,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:42","end":"08:42","startHours":7.694032694110802,"endHours":8.694032694110803,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:42","end":"09:42","startHours":8.694032694110803,"endHours":9.694032694110803,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:42","end":"10:42","startHours":9.694032694110803,"endHours":10.694032694110803,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:42","end":"11:42","startHours":10.694032694110803,"endHours":11.694032694110803,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:42","end":"12:42","startHours":11.694032694110803,"endHours":12.694032694110803,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:42","end":"13:42","startHours":12.694032694110803,"endHours":13.694032694110803,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:42","end":"14:42","startHours":13.694032694110803,"endHours":14.694032694110803,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:42","end":"15:42","startHours":14.694032694110803,"endHours":15.694032694110803,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:42","end":"16:42","startHours":15.694032694110803,"endHours":16.694032694110803,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:42","end":"17:42","startHours":16.694032694110803,"endHours":17.694032694110803,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:42","end":"18:42","startHours":17.694032694110803,"endHours":18.694032694110803,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:42","end":"19:42","startHours":18.694032694110803,"endHours":19.694032694110803,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:42","end":"20:42","startHours":19.694032694110803,"endHours":20.694032694110803,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:42","end":"21:42","startHours":20.694032694110803,"endHours":21.694032694110803,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:42","end":"22:42","startHours":21.694032694110803,"endHours":22.694032694110803,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:42","end":"23:42","startHours":22.694032694110803,"endHours":23.694032694110803,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:42","end":"00:42","startHours":23.694032694110803,"endHours":24.694032694110803,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:42","end":"01:42","startHours":24.694032694110803,"endHours":25.694032694110803,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:42","end":"02:42","startHours":25.694032694110803,"endHours":26.694032694110803,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:42","end":"03:42","startHours":26.694032694110803,"endHours":27.694032694110803,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:42","end":"04:42","startHours":27.694032694110803,"endHours":28.694032694110803,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:42","end":"05:42","startHours":28.694032694110803,"endHours":29.694032694110803,"planetary_lord":"Mercury"}],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","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":18.307360685019265,"eotMinutes":-6.017669866710306,"ayanamsa":22.8972}},"calendars":{"vikram_samvat":1988,"vikram_samvatsara":"Tāraṇa","saka_samvat":1853,"saka_samvatsara":"Prajāpati","bengali_samvat":1338,"malayalam_era":1107,"nanakshahi_year":462,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Tṛtīyā · Vikram 1988 Tāraṇa · Śaka 1853 Prajāpati"},"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":"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 August 1, 1931 CE · Mathurā · Vidhyamitra","description":"August 1, 1931 CE for Mathurā: Kṛṣṇa Tṛtīyā, sūryodaya 05:42, sūryāsta 19:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1931-08-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1931-08-01","sa":"https://sa.vidhyamitra.com/city/mathura/1931-08-01","hi":"https://hi.vidhyamitra.com/city/mathura/1931-08-01","x-default":"https://vidhyamitra.com/city/mathura/1931-08-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T12:36:11.278Z","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":"2026-05-14T12:36:11.278Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T12:36:11.278Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}