{"id":"vidhyamitra:city-day:mathura:1932-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1932-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1932-07-31","date_display":"July 31, 1932 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":1932,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2426919.770833,"kali_year":5034,"ahargana":1838454.2708,"sun":{"sidereal_longitude":104.3219,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":74.8178,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":330.4959,"elapsed_within_tithi_degrees":6.4959},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.8178,"elapsed_within_degrees":8.1511},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":179.1397},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":1932,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2426919.770833,"ahargana":1838454.2708,"kali_year":5034,"ayanamsa_lahiri":22.9112,"grahas":{"sun":{"sidereal_longitude":104.694075,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":75.988675,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":4.3469},"mars":{"sidereal_longitude":64.82667500000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":129.47517500000004,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":125.18167499999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":68.68307500000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":278.50997499999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":329.8455,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":149.8455,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","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":1932,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2426919.770833,"kali_year":5034,"ahargana":1838454.2708,"sun":{"sidereal_longitude":104.3219,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":74.8178,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":330.4959,"elapsed_within_tithi_degrees":6.4959},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":74.8178,"elapsed_within_degrees":8.1511},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":179.1397},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.347,"elongation":29.504},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.347,"opposition_distance":150.496}},"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":13.460728008438771,"dayLengthDisplay":"13 Hours 27 Mins 39 Secs","nightLengthDisplay":"10 Hours 32 Mins 21 Secs","moonriseLocal":"03:36","moonsetLocal":"17:25","rahuKala":{"name":"Rāhu Kāla","start":"17:28","end":"19:09","startHours":17.47071591170372,"endHours":19.153306912758566,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:25","end":"14:06","startHours":12.42294290853918,"endHours":14.105533909594026,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:47","end":"17:28","startHours":15.788124910648875,"endHours":17.47071591170372,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:17","startHours":8.833415439622176,"endHours":9.282106373236802,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:15","end":"06:37","startHours":6.253442571338078,"endHours":6.612395318229779,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.974251974924554,"endHours":12.871633842153807,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:54","end":"04:48","startHours":3.8978151698612935,"endHours":4.795197037090545,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:34","end":"05:42","startHours":4.5708515702832315,"endHours":5.692578904319796,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:34","startHours":14.666397576612312,"endHours":15.563779443841563,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:57","end":"19:21","startHours":18.953306912758567,"endHours":19.353306912758566,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:09","end":"19:43","startHours":19.153306912758566,"endHours":19.714170579776848,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:54","end":"20:39","startHours":18.903306912758566,"endHours":20.653306912758566,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.974251974924556,"endHours":24.871633842153805,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:42","end":"07:23","startHours":5.692578904319796,"endHours":7.3751699053746425,"quality":"inauspicious"},{"name":"Chala","start":"07:23","end":"09:03","startHours":7.3751699053746425,"endHours":9.05776090642949,"quality":"neutral"},{"name":"Labha","start":"09:03","end":"10:44","startHours":9.05776090642949,"endHours":10.740351907484335,"quality":"auspicious"},{"name":"Amṛta","start":"10:44","end":"12:25","startHours":10.740351907484335,"endHours":12.42294290853918,"quality":"auspicious"},{"name":"Kāla","start":"12:25","end":"14:06","startHours":12.42294290853918,"endHours":14.105533909594026,"quality":"inauspicious"},{"name":"Śubha","start":"14:06","end":"15:47","startHours":14.105533909594026,"endHours":15.788124910648875,"quality":"auspicious"},{"name":"Roga","start":"15:47","end":"17:28","startHours":15.788124910648875,"endHours":17.47071591170372,"quality":"inauspicious"},{"name":"Udveg","start":"17:28","end":"19:09","startHours":17.47071591170372,"endHours":19.153306912758566,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:09","end":"20:28","startHours":19.153306912758566,"endHours":20.47071591170372,"quality":"auspicious"},{"name":"Roga","start":"20:28","end":"21:47","startHours":20.47071591170372,"endHours":21.788124910648875,"quality":"inauspicious"},{"name":"Udveg","start":"21:47","end":"23:06","startHours":21.788124910648875,"endHours":23.105533909594026,"quality":"inauspicious"},{"name":"Chala","start":"23:06","end":"00:25","startHours":23.105533909594026,"endHours":24.42294290853918,"quality":"neutral"},{"name":"Labha","start":"00:25","end":"01:44","startHours":24.42294290853918,"endHours":25.740351907484335,"quality":"auspicious"},{"name":"Amṛta","start":"01:44","end":"03:03","startHours":25.740351907484335,"endHours":27.057760906429486,"quality":"auspicious"},{"name":"Kāla","start":"03:03","end":"04:23","startHours":27.057760906429486,"endHours":28.37516990537464,"quality":"inauspicious"},{"name":"Śubha","start":"04:23","end":"05:42","startHours":28.37516990537464,"endHours":29.692578904319795,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:42","end":"06:42","startHours":5.692578904319796,"endHours":6.692578904319796,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:42","end":"07:42","startHours":6.692578904319796,"endHours":7.692578904319796,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:42","end":"08:42","startHours":7.692578904319796,"endHours":8.692578904319795,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:42","end":"09:42","startHours":8.692578904319795,"endHours":9.692578904319795,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:42","end":"10:42","startHours":9.692578904319795,"endHours":10.692578904319795,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:42","end":"11:42","startHours":10.692578904319795,"endHours":11.692578904319795,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:42","end":"12:42","startHours":11.692578904319795,"endHours":12.692578904319795,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:42","end":"13:42","startHours":12.692578904319795,"endHours":13.692578904319795,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:42","end":"14:42","startHours":13.692578904319795,"endHours":14.692578904319795,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:42","end":"15:42","startHours":14.692578904319795,"endHours":15.692578904319795,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:42","end":"16:42","startHours":15.692578904319795,"endHours":16.692578904319795,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:42","end":"17:42","startHours":16.692578904319795,"endHours":17.692578904319795,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:42","end":"18:42","startHours":17.692578904319795,"endHours":18.692578904319795,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:42","end":"19:42","startHours":18.692578904319795,"endHours":19.692578904319795,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:42","end":"20:42","startHours":19.692578904319795,"endHours":20.692578904319795,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:42","end":"21:42","startHours":20.692578904319795,"endHours":21.692578904319795,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:42","end":"22:42","startHours":21.692578904319795,"endHours":22.692578904319795,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:42","end":"23:42","startHours":22.692578904319795,"endHours":23.692578904319795,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:42","end":"00:42","startHours":23.692578904319795,"endHours":24.692578904319795,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:42","end":"01:42","startHours":24.692578904319795,"endHours":25.692578904319795,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:42","end":"02:42","startHours":25.692578904319795,"endHours":26.692578904319795,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:42","end":"03:42","startHours":26.692578904319795,"endHours":27.692578904319795,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:42","end":"04:42","startHours":27.692578904319795,"endHours":28.692578904319795,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:42","end":"05:42","startHours":28.692578904319795,"endHours":29.692578904319795,"planetary_lord":"Jupiter"}],"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"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":18.36666766258177,"eotMinutes":-6.071374512350812,"ayanamsa":22.9112}},"calendars":{"vikram_samvat":1989,"vikram_samvatsara":"Pārthiva","saka_samvat":1854,"saka_samvatsara":"Aṅgirasa","bengali_samvat":1339,"malayalam_era":1108,"nanakshahi_year":463,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Trayodaśī · Vikram 1989 Pārthiva · Śaka 1854 Aṅgirasa"},"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":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 31, 1932 CE · Mathurā · Vidhyamitra","description":"July 31, 1932 CE for Mathurā: Kṛṣṇa Trayodaśī, sūryodaya 05:42, sūryāsta 19:09.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1932-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1932-07-31","sa":"https://sa.vidhyamitra.com/city/mathura/1932-07-31","hi":"https://hi.vidhyamitra.com/city/mathura/1932-07-31","x-default":"https://vidhyamitra.com/city/mathura/1932-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:55:41.037Z","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":"2026-05-14T15:55:41.037Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:55:41.037Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}