{"id":"vidhyamitra:city-day:mathura:2050-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/mathura/2050-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-07-20","date_display":"July 20, 2050 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":2050,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470007.770833,"kali_year":5152,"ahargana":1881542.2708,"sun":{"sidereal_longitude":92.4264,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":107.8345,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":15.4081,"elapsed_within_tithi_degrees":3.4081},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.8345,"elapsed_within_degrees":1.1678},"yoga":{"number":16,"name":"Siddhi","sum_longitude":200.2609},"karana":{"half_tithi_index":2,"name":"Bālava"},"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":2050,"month":7,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470007.770833,"ahargana":1881542.2708,"kali_year":5152,"ayanamsa_lahiri":24.5591,"grahas":{"sun":{"sidereal_longitude":93.00649699999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":105.959697,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false,"latitude":-4.4445},"mars":{"sidereal_longitude":301.221397,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":true},"mercury":{"sidereal_longitude":117.946597,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":106.02959700000002,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"venus":{"sidereal_longitude":137.00869699999998,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":280.911197,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":206.8359,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":26.8359,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","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":2050,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470007.770833,"kali_year":5152,"ahargana":1881542.2708,"sun":{"sidereal_longitude":92.4264,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":107.8345,"rashi":4,"rashi_name":"Karka"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":15.4081,"elapsed_within_tithi_degrees":3.4081},"nakshatra":{"number":9,"name":"Āśleṣā","pada":1,"moon_longitude":107.8345,"elapsed_within_degrees":1.1678},"yoga":{"number":16,"name":"Siddhi","sum_longitude":200.2609},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.444,"elongation":15.408},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.444,"opposition_distance":164.592}},"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":"05:36","sunsetLocal":"19:15","solarNoonLocal":"12:25","dayLengthHours":13.644366079881983,"dayLengthDisplay":"13 Hours 38 Mins 40 Secs","nightLengthDisplay":"10 Hours 21 Mins 20 Secs","moonriseLocal":"06:36","moonsetLocal":"19:58","rahuKala":{"name":"Rāhu Kāla","start":"12:25","end":"14:08","startHours":12.421657020252624,"endHours":14.127202780237873,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:18","end":"09:01","startHours":7.3050197402968795,"endHours":9.010565500282127,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:43","end":"12:25","startHours":10.716111260267375,"endHours":12.421657020252624,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:14","startHours":8.783159398950762,"endHours":9.237971601613493,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:32","startHours":6.167989233640047,"endHours":6.531838995770234,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.966844817589891,"endHours":12.876469222915357,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:47","end":"04:41","startHours":3.7802251696607003,"endHours":4.689849574986166,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:28","end":"05:36","startHours":4.462443473654799,"endHours":5.599473980311632,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:36","startHours":14.695718033566287,"endHours":15.605342438891752,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:03","end":"19:27","startHours":19.043840060193617,"endHours":19.443840060193615,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:15","end":"19:49","startHours":19.243840060193616,"endHours":19.812355313522033,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:00","end":"20:45","startHours":18.993840060193616,"endHours":20.743840060193616,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.96684481758989,"endHours":24.876469222915357,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:36","end":"07:18","startHours":5.599473980311632,"endHours":7.3050197402968795,"quality":"auspicious"},{"name":"Amṛta","start":"07:18","end":"09:01","startHours":7.3050197402968795,"endHours":9.010565500282127,"quality":"auspicious"},{"name":"Kāla","start":"09:01","end":"10:43","startHours":9.010565500282127,"endHours":10.716111260267375,"quality":"inauspicious"},{"name":"Śubha","start":"10:43","end":"12:25","startHours":10.716111260267375,"endHours":12.421657020252624,"quality":"auspicious"},{"name":"Roga","start":"12:25","end":"14:08","startHours":12.421657020252624,"endHours":14.127202780237873,"quality":"inauspicious"},{"name":"Udveg","start":"14:08","end":"15:50","startHours":14.127202780237873,"endHours":15.832748540223118,"quality":"inauspicious"},{"name":"Chala","start":"15:50","end":"17:32","startHours":15.832748540223118,"endHours":17.538294300208367,"quality":"neutral"},{"name":"Labha","start":"17:32","end":"19:15","startHours":17.538294300208367,"endHours":19.243840060193616,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:15","end":"20:32","startHours":19.243840060193616,"endHours":20.538294300208367,"quality":"inauspicious"},{"name":"Chala","start":"20:32","end":"21:50","startHours":20.538294300208367,"endHours":21.832748540223122,"quality":"neutral"},{"name":"Labha","start":"21:50","end":"23:08","startHours":21.832748540223122,"endHours":23.127202780237873,"quality":"auspicious"},{"name":"Amṛta","start":"23:08","end":"00:25","startHours":23.127202780237873,"endHours":24.421657020252624,"quality":"auspicious"},{"name":"Kāla","start":"00:25","end":"01:43","startHours":24.421657020252624,"endHours":25.716111260267375,"quality":"inauspicious"},{"name":"Śubha","start":"01:43","end":"03:01","startHours":25.716111260267375,"endHours":27.010565500282127,"quality":"auspicious"},{"name":"Roga","start":"03:01","end":"04:18","startHours":27.010565500282127,"endHours":28.30501974029688,"quality":"inauspicious"},{"name":"Udveg","start":"04:18","end":"05:36","startHours":28.30501974029688,"endHours":29.599473980311632,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.599473980311632,"endHours":6.599473980311632,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.599473980311632,"endHours":7.599473980311632,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.599473980311632,"endHours":8.599473980311632,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.599473980311632,"endHours":9.599473980311632,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.599473980311632,"endHours":10.599473980311632,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.599473980311632,"endHours":11.599473980311632,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.599473980311632,"endHours":12.599473980311632,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.599473980311632,"endHours":13.599473980311632,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.599473980311632,"endHours":14.599473980311632,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.599473980311632,"endHours":15.599473980311632,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.599473980311632,"endHours":16.599473980311632,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.599473980311632,"endHours":17.599473980311632,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.599473980311632,"endHours":18.599473980311632,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.599473980311632,"endHours":19.599473980311632,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.599473980311632,"endHours":20.599473980311632,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.599473980311632,"endHours":21.599473980311632,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.599473980311632,"endHours":22.599473980311632,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.599473980311632,"endHours":23.599473980311632,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.599473980311632,"endHours":24.599473980311632,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.599473980311632,"endHours":25.599473980311632,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.599473980311632,"endHours":26.599473980311632,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.599473980311632,"endHours":27.599473980311632,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.599473980311632,"endHours":28.599473980311632,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.599473980311632,"endHours":29.599473980311632,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Karka","Kanyā","Dhanu","Makara"],"unfavorable_rashis":["Mithuna","Siṃha","Tulā","Vṛścika","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"South-West","rahuVasa":"South-West","anandadiYoga":{"name":"Amṛta","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":20.645354551383228,"eotMinutes":-5.99422121515736,"ayanamsa":24.5591}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Śukla Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Dvitīyā · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"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":"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 20, 2050 CE · Mathurā · Vidhyamitra","description":"July 20, 2050 CE for Mathurā: Śukla Dvitīyā, sūryodaya 05:36, sūryāsta 19:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/mathura/2050-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/mathura/2050-07-20","sa":"https://sa.vidhyamitra.com/city/mathura/2050-07-20","hi":"https://hi.vidhyamitra.com/city/mathura/2050-07-20","x-default":"https://vidhyamitra.com/city/mathura/2050-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T15:56:36.400Z","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":"2026-05-14T15:56:36.400Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-14T15:56:36.400Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}