{"id":"vidhyamitra:city-day:mathura:1903-07-31:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1903-07-31","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1903-07-31","date_display":"July 31, 1903 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":1903,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416326.770833,"kali_year":5005,"ahargana":1827861.2708,"sun":{"sidereal_longitude":103.8503,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":187.9436,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":84.0933,"elapsed_within_tithi_degrees":0.0933},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":187.9436,"elapsed_within_degrees":1.277},"yoga":{"number":22,"name":"Sādhya","sum_longitude":291.794},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"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":1903,"month":7,"day":31,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2416326.770833,"ahargana":1827861.2708,"kali_year":5005,"ayanamsa_lahiri":22.506,"grahas":{"sun":{"sidereal_longitude":104.15050600000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"moon":{"sidereal_longitude":190.921606,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false,"latitude":1.3017},"mars":{"sidereal_longitude":184.98010599999998,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":110.35400599999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":331.6735060000001,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":true},"venus":{"sidereal_longitude":148.91200600000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":284.805706,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":171.1136,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":351.1136,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"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":1903,"month":7,"day":31,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2416326.770833,"kali_year":5005,"ahargana":1827861.2708,"sun":{"sidereal_longitude":103.8503,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":187.9436,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":8,"name":"Aṣṭamī","paksha":"Śukla","full_name":"Śukla Aṣṭamī","elongation_degrees":84.0933,"elapsed_within_tithi_degrees":0.0933},"nakshatra":{"number":15,"name":"Svātī","pada":1,"moon_longitude":187.9436,"elapsed_within_degrees":1.277},"yoga":{"number":22,"name":"Sādhya","sum_longitude":291.794},"karana":{"half_tithi_index":14,"name":"Viṣṭi"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.302,"elongation":84.093},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.302,"opposition_distance":95.907}},"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":"05:41","sunsetLocal":"19:10","solarNoonLocal":"12:25","dayLengthHours":13.479793023003133,"dayLengthDisplay":"13 Hours 28 Mins 47 Secs","nightLengthDisplay":"10 Hours 31 Mins 13 Secs","moonriseLocal":"12:37","moonsetLocal":"23:48","rahuKala":{"name":"Rāhu Kāla","start":"10:44","end":"12:25","startHours":10.737968780663788,"endHours":12.42294290853918,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:48","end":"17:29","startHours":15.792891164289962,"endHours":17.477865292165355,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:22","end":"09:03","startHours":7.368020524913005,"endHours":9.052994652788396,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:50","end":"09:17","startHours":8.828331435738345,"endHours":9.27765786983845,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:15","end":"06:36","startHours":6.244704439662744,"endHours":6.604165586942828,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.973616474439076,"endHours":12.872269342639285,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:53","end":"04:47","startHours":3.885740660637196,"endHours":4.784393528837405,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:34","end":"05:41","startHours":4.559730311787352,"endHours":5.6830463970376135,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:40","end":"15:34","startHours":14.669575079039703,"endHours":15.568227947239912,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:58","end":"19:22","startHours":18.962839420040748,"endHours":19.362839420040746,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:10","end":"19:43","startHours":19.162839420040747,"endHours":19.724497462665877,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:55","end":"20:40","startHours":18.912839420040747,"endHours":20.662839420040747,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.973616474439076,"endHours":24.872269342639285,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:41","end":"07:22","startHours":5.6830463970376135,"endHours":7.368020524913005,"quality":"neutral"},{"name":"Labha","start":"07:22","end":"09:03","startHours":7.368020524913005,"endHours":9.052994652788396,"quality":"auspicious"},{"name":"Amṛta","start":"09:03","end":"10:44","startHours":9.052994652788396,"endHours":10.737968780663788,"quality":"auspicious"},{"name":"Kāla","start":"10:44","end":"12:25","startHours":10.737968780663788,"endHours":12.42294290853918,"quality":"inauspicious"},{"name":"Śubha","start":"12:25","end":"14:06","startHours":12.42294290853918,"endHours":14.107917036414573,"quality":"auspicious"},{"name":"Roga","start":"14:06","end":"15:48","startHours":14.107917036414573,"endHours":15.792891164289962,"quality":"inauspicious"},{"name":"Udveg","start":"15:48","end":"17:29","startHours":15.792891164289962,"endHours":17.477865292165355,"quality":"inauspicious"},{"name":"Chala","start":"17:29","end":"19:10","startHours":17.477865292165355,"endHours":19.162839420040747,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:10","end":"20:29","startHours":19.162839420040747,"endHours":20.477865292165355,"quality":"inauspicious"},{"name":"Udveg","start":"20:29","end":"21:48","startHours":20.477865292165355,"endHours":21.792891164289962,"quality":"inauspicious"},{"name":"Chala","start":"21:48","end":"23:06","startHours":21.792891164289962,"endHours":23.107917036414573,"quality":"neutral"},{"name":"Labha","start":"23:06","end":"00:25","startHours":23.107917036414573,"endHours":24.42294290853918,"quality":"auspicious"},{"name":"Amṛta","start":"00:25","end":"01:44","startHours":24.42294290853918,"endHours":25.73796878066379,"quality":"auspicious"},{"name":"Kāla","start":"01:44","end":"03:03","startHours":25.73796878066379,"endHours":27.0529946527884,"quality":"inauspicious"},{"name":"Śubha","start":"03:03","end":"04:22","startHours":27.0529946527884,"endHours":28.368020524913007,"quality":"auspicious"},{"name":"Roga","start":"04:22","end":"05:41","startHours":28.368020524913007,"endHours":29.683046397037614,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:41","end":"06:41","startHours":5.6830463970376135,"endHours":6.6830463970376135,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:41","end":"07:41","startHours":6.6830463970376135,"endHours":7.6830463970376135,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:41","end":"08:41","startHours":7.6830463970376135,"endHours":8.683046397037614,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:41","end":"09:41","startHours":8.683046397037614,"endHours":9.683046397037614,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:41","end":"10:41","startHours":9.683046397037614,"endHours":10.683046397037614,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:41","end":"11:41","startHours":10.683046397037614,"endHours":11.683046397037614,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:41","end":"12:41","startHours":11.683046397037614,"endHours":12.683046397037614,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:41","end":"13:41","startHours":12.683046397037614,"endHours":13.683046397037614,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:41","end":"14:41","startHours":13.683046397037614,"endHours":14.683046397037614,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:41","end":"15:41","startHours":14.683046397037614,"endHours":15.683046397037614,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:41","end":"16:41","startHours":15.683046397037614,"endHours":16.683046397037614,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:41","end":"17:41","startHours":16.683046397037614,"endHours":17.683046397037614,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:41","end":"18:41","startHours":17.683046397037614,"endHours":18.683046397037614,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:41","end":"19:41","startHours":18.683046397037614,"endHours":19.683046397037614,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:41","end":"20:41","startHours":19.683046397037614,"endHours":20.683046397037614,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:41","end":"21:41","startHours":20.683046397037614,"endHours":21.683046397037614,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:41","end":"22:41","startHours":21.683046397037614,"endHours":22.683046397037614,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:41","end":"23:41","startHours":22.683046397037614,"endHours":23.683046397037614,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:41","end":"00:41","startHours":23.683046397037614,"endHours":24.683046397037614,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:41","end":"01:41","startHours":24.683046397037614,"endHours":25.683046397037614,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:41","end":"02:41","startHours":25.683046397037614,"endHours":26.683046397037614,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:41","end":"03:41","startHours":26.683046397037614,"endHours":27.683046397037614,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:41","end":"04:41","startHours":27.683046397037614,"endHours":28.683046397037614,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:41","end":"05:41","startHours":28.683046397037614,"endHours":29.683046397037614,"planetary_lord":"Mars"}],"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","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"North","rahuVasa":"South-East","anandadiYoga":{"name":"Dhvaja","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":18.606845664870736,"eotMinutes":-6.071374512350812,"ayanamsa":22.506}},"calendars":{"vikram_samvat":1960,"vikram_samvatsara":"Nala","saka_samvat":1825,"saka_samvatsara":"Śobhana","bengali_samvat":1310,"malayalam_era":1079,"nanakshahi_year":434,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Aṣṭamī · Vikram 1960 Nala · Śaka 1825 Śobhana"},"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":[{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Śukla Aṣṭamī","url":"/day/-3137-12-25","relevance":0.5}]},"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, 1903 CE · Mathurā · Vidhyamitra","description":"July 31, 1903 CE for Mathurā: Śukla Aṣṭamī, sūryodaya 05:41, sūryāsta 19:10.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1903-07-31","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1903-07-31","sa":"https://sa.vidhyamitra.com/city/mathura/1903-07-31","hi":"https://hi.vidhyamitra.com/city/mathura/1903-07-31","x-default":"https://vidhyamitra.com/city/mathura/1903-07-31"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T14:49:39.772Z","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":"2026-05-14T14:49:39.772Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T14:49:39.772Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}