{"id":"vidhyamitra:city-day:mathura:1902-07-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/1902-07-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1902-07-16","date_display":"July 16, 1902 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":1902,"month":7,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415946.770833,"kali_year":5004,"ahargana":1827481.2708,"sun":{"sidereal_longitude":89.8641,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":216.7511,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":126.887,"elapsed_within_tithi_degrees":6.887},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":216.7511,"elapsed_within_degrees":3.4178},"yoga":{"number":23,"name":"Śubha","sum_longitude":306.6152},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1902,"month":7,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2415946.770833,"ahargana":1827481.2708,"kali_year":5004,"ayanamsa_lahiri":22.4915,"grahas":{"sun":{"sidereal_longitude":90.070224,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":218.784224,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false,"latitude":1.9359},"mars":{"sidereal_longitude":65.72612400000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":70.83732400000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":293.72922400000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":57.305724,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":273.49372400000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":191.2478,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":11.2478,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":4},"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":1902,"month":7,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2415946.770833,"kali_year":5004,"ahargana":1827481.2708,"sun":{"sidereal_longitude":89.8641,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":216.7511,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":11,"name":"Ekādaśī","paksha":"Śukla","full_name":"Śukla Ekādaśī","elongation_degrees":126.887,"elapsed_within_tithi_degrees":6.887},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":216.7511,"elapsed_within_degrees":3.4178},"yoga":{"number":23,"name":"Śubha","sum_longitude":306.6152},"karana":{"half_tithi_index":21,"name":"Viṣṭi"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.936,"elongation":126.887},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.936,"opposition_distance":53.113}},"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":"05:33","sunsetLocal":"19:17","solarNoonLocal":"12:25","dayLengthHours":13.718999455607147,"dayLengthDisplay":"13 Hours 43 Mins 08 Secs","nightLengthDisplay":"10 Hours 16 Mins 52 Secs","moonriseLocal":"15:42","moonsetLocal":"02:18","rahuKala":{"name":"Rāhu Kāla","start":"12:25","end":"14:08","startHours":12.41646567693795,"endHours":14.131340608888841,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:16","end":"08:59","startHours":7.271840881085269,"endHours":8.986715813036163,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:42","end":"12:25","startHours":10.701590744987055,"endHours":12.41646567693795,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.758065822109376,"endHours":9.215365803962948,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:30","startHours":6.12859092645134,"endHours":6.494430911934197,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.959165695084378,"endHours":12.873765658791521,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:39","startHours":3.727766021720089,"endHours":4.642365985427232,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:33","startHours":4.413715994500446,"endHours":5.5569659491343755,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.702965586205806,"endHours":15.61756554991295,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.075965404741524,"endHours":19.475965404741522,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.275965404741523,"endHours":19.84759038205849,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.025965404741523,"endHours":20.775965404741523,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.95916569508438,"endHours":24.87376565879152,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:33","end":"07:16","startHours":5.5569659491343755,"endHours":7.271840881085269,"quality":"auspicious"},{"name":"Amṛta","start":"07:16","end":"08:59","startHours":7.271840881085269,"endHours":8.986715813036163,"quality":"auspicious"},{"name":"Kāla","start":"08:59","end":"10:42","startHours":8.986715813036163,"endHours":10.701590744987055,"quality":"inauspicious"},{"name":"Śubha","start":"10:42","end":"12:25","startHours":10.701590744987055,"endHours":12.41646567693795,"quality":"auspicious"},{"name":"Roga","start":"12:25","end":"14:08","startHours":12.41646567693795,"endHours":14.131340608888841,"quality":"inauspicious"},{"name":"Udveg","start":"14:08","end":"15:51","startHours":14.131340608888841,"endHours":15.846215540839736,"quality":"inauspicious"},{"name":"Chala","start":"15:51","end":"17:34","startHours":15.846215540839736,"endHours":17.561090472790628,"quality":"neutral"},{"name":"Labha","start":"17:34","end":"19:17","startHours":17.561090472790628,"endHours":19.275965404741523,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:17","end":"20:34","startHours":19.275965404741523,"endHours":20.56109047279063,"quality":"inauspicious"},{"name":"Chala","start":"20:34","end":"21:51","startHours":20.56109047279063,"endHours":21.846215540839736,"quality":"neutral"},{"name":"Labha","start":"21:51","end":"23:08","startHours":21.846215540839736,"endHours":23.13134060888884,"quality":"auspicious"},{"name":"Amṛta","start":"23:08","end":"00:25","startHours":23.13134060888884,"endHours":24.41646567693795,"quality":"auspicious"},{"name":"Kāla","start":"00:25","end":"01:42","startHours":24.41646567693795,"endHours":25.701590744987058,"quality":"inauspicious"},{"name":"Śubha","start":"01:42","end":"02:59","startHours":25.701590744987058,"endHours":26.986715813036163,"quality":"auspicious"},{"name":"Roga","start":"02:59","end":"04:16","startHours":26.986715813036163,"endHours":28.271840881085268,"quality":"inauspicious"},{"name":"Udveg","start":"04:16","end":"05:33","startHours":28.271840881085268,"endHours":29.556965949134376,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.5569659491343755,"endHours":6.5569659491343755,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.5569659491343755,"endHours":7.5569659491343755,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.5569659491343755,"endHours":8.556965949134376,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.556965949134376,"endHours":9.556965949134376,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.556965949134376,"endHours":10.556965949134376,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.556965949134376,"endHours":11.556965949134376,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.556965949134376,"endHours":12.556965949134376,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.556965949134376,"endHours":13.556965949134376,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.556965949134376,"endHours":14.556965949134376,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.556965949134376,"endHours":15.556965949134376,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.556965949134376,"endHours":16.556965949134376,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.556965949134376,"endHours":17.556965949134376,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.556965949134376,"endHours":18.556965949134376,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.556965949134376,"endHours":19.556965949134376,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.556965949134376,"endHours":20.556965949134376,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.556965949134376,"endHours":21.556965949134376,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.556965949134376,"endHours":22.556965949134376,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.556965949134376,"endHours":23.556965949134376,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.556965949134376,"endHours":24.556965949134376,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.556965949134376,"endHours":25.556965949134376,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.556965949134376,"endHours":26.556965949134376,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.556965949134376,"endHours":27.556965949134376,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.556965949134376,"endHours":28.556965949134376,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.556965949134376,"endHours":29.556965949134376,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"South-West","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":21.548747538859697,"eotMinutes":-5.682740616276977,"ayanamsa":22.4915}},"calendars":{"vikram_samvat":1959,"vikram_samvatsara":"Rākṣasa","saka_samvat":1824,"saka_samvatsara":"Śubhakṛt","bengali_samvat":1309,"malayalam_era":1078,"nanakshahi_year":433,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Ekādaśī · Vikram 1959 Rākṣasa · Śaka 1824 Śubhakṛt"},"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":"pavitropana-ekadashi","name":"Pavitropanā Ekādaśī (Putradā)","name_sanskrit":"पवित्रोपना एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Confers son; pavitra (sacred thread) ceremony for Viṣṇu.","vrata":true,"detection":{"tithi_number":11,"tithi_paksha":"Śukla","lunar_month":"Śrāvaṇa"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 16, 1902 CE · Mathurā · Vidhyamitra","description":"July 16, 1902 CE for Mathurā: Śukla Ekādaśī, sūryodaya 05:33, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/1902-07-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/1902-07-16","sa":"https://sa.vidhyamitra.com/city/mathura/1902-07-16","hi":"https://hi.vidhyamitra.com/city/mathura/1902-07-16","x-default":"https://vidhyamitra.com/city/mathura/1902-07-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T09:58:27.266Z","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":"2026-05-14T09:58:27.266Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T09:58:27.266Z","pillar_versions":{"BOB-History":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}