{"id":"vidhyamitra:city-day:vrindavan:2050-08-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2050-08-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-08-20","date_display":"August 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":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470038.770833,"kali_year":5152,"ahargana":1881573.2708,"sun":{"sidereal_longitude":121.9366,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":152.8177,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":30.8812,"elapsed_within_tithi_degrees":6.8812},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":152.8177,"elapsed_within_degrees":6.1511},"yoga":{"number":21,"name":"Siddha","sum_longitude":274.7543},"karana":{"half_tithi_index":5,"name":"Gara"},"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":2050,"month":8,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470038.770833,"ahargana":1881573.2708,"kali_year":5152,"ayanamsa_lahiri":24.5603,"grahas":{"sun":{"sidereal_longitude":122.693712,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":150.53511200000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":-3.5628},"mars":{"sidereal_longitude":294.90321199999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":131.28921200000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":true},"jupiter":{"sidereal_longitude":112.815312,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":167.16141199999993,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":278.693212,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":205.1933,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":25.1933,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2050,"month":8,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470038.770833,"kali_year":5152,"ahargana":1881573.2708,"sun":{"sidereal_longitude":121.9366,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":152.8177,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":3,"name":"Tṛtīyā","paksha":"Śukla","full_name":"Śukla Tṛtīyā","elongation_degrees":30.8812,"elapsed_within_tithi_degrees":6.8812},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2,"moon_longitude":152.8177,"elapsed_within_degrees":6.1511},"yoga":{"number":21,"name":"Siddha","sum_longitude":274.7543},"karana":{"half_tithi_index":5,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.563,"elongation":30.881},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.563,"opposition_distance":149.119}},"eclipse_window_40days":[]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"05:52","sunsetLocal":"18:53","solarNoonLocal":"12:22","dayLengthHours":13.00974503735116,"dayLengthDisplay":"13 Hours 00 Mins 35 Secs","nightLengthDisplay":"10 Hours 59 Mins 25 Secs","moonriseLocal":"08:07","moonsetLocal":"20:20","rahuKala":{"name":"Rāhu Kāla","start":"09:07","end":"10:45","startHours":9.121110589171048,"endHours":10.747328718839942,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:00","end":"15:38","startHours":13.999764978177733,"endHours":15.625983107846627,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:52","end":"07:30","startHours":5.868674329833258,"endHours":7.494892459502153,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:54","end":"09:20","startHours":8.904281505215195,"endHours":9.3379396731269,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:45","startHours":6.41074703972289,"endHours":6.757673574052254,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:48","startHours":11.939888680597132,"endHours":12.807205016420543,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:08","end":"05:00","startHours":4.134041658186437,"endHours":5.001357994009847,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:47","end":"05:52","startHours":4.784528910053995,"endHours":5.868674329833258,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:33","end":"15:25","startHours":14.541837688067364,"endHours":15.409154023890775,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:41","end":"19:05","startHours":18.678419367184418,"endHours":19.078419367184416,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:53","end":"19:25","startHours":18.878419367184417,"endHours":19.420492077074048,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:38","end":"20:23","startHours":18.628419367184417,"endHours":20.378419367184417,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:48","startHours":23.939888680597132,"endHours":24.807205016420543,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:52","end":"07:30","startHours":5.868674329833258,"endHours":7.494892459502153,"quality":"inauspicious"},{"name":"Śubha","start":"07:30","end":"09:07","startHours":7.494892459502153,"endHours":9.121110589171048,"quality":"auspicious"},{"name":"Roga","start":"09:07","end":"10:45","startHours":9.121110589171048,"endHours":10.747328718839942,"quality":"inauspicious"},{"name":"Udveg","start":"10:45","end":"12:22","startHours":10.747328718839942,"endHours":12.373546848508838,"quality":"inauspicious"},{"name":"Chala","start":"12:22","end":"14:00","startHours":12.373546848508838,"endHours":13.999764978177733,"quality":"neutral"},{"name":"Labha","start":"14:00","end":"15:38","startHours":13.999764978177733,"endHours":15.625983107846627,"quality":"auspicious"},{"name":"Amṛta","start":"15:38","end":"17:15","startHours":15.625983107846627,"endHours":17.25220123751552,"quality":"auspicious"},{"name":"Kāla","start":"17:15","end":"18:53","startHours":17.25220123751552,"endHours":18.878419367184417,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:53","end":"20:15","startHours":18.878419367184417,"endHours":20.25220123751552,"quality":"auspicious"},{"name":"Amṛta","start":"20:15","end":"21:38","startHours":20.25220123751552,"endHours":21.62598310784663,"quality":"auspicious"},{"name":"Kāla","start":"21:38","end":"23:00","startHours":21.62598310784663,"endHours":22.999764978177733,"quality":"inauspicious"},{"name":"Śubha","start":"23:00","end":"00:22","startHours":22.999764978177733,"endHours":24.373546848508838,"quality":"auspicious"},{"name":"Roga","start":"00:22","end":"01:45","startHours":24.373546848508838,"endHours":25.747328718839942,"quality":"inauspicious"},{"name":"Udveg","start":"01:45","end":"03:07","startHours":25.747328718839942,"endHours":27.121110589171046,"quality":"inauspicious"},{"name":"Chala","start":"03:07","end":"04:30","startHours":27.121110589171046,"endHours":28.494892459502154,"quality":"neutral"},{"name":"Labha","start":"04:30","end":"05:52","startHours":28.494892459502154,"endHours":29.868674329833258,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:52","end":"06:52","startHours":5.868674329833258,"endHours":6.868674329833258,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:52","end":"07:52","startHours":6.868674329833258,"endHours":7.868674329833258,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:52","end":"08:52","startHours":7.868674329833258,"endHours":8.868674329833258,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:52","end":"09:52","startHours":8.868674329833258,"endHours":9.868674329833258,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:52","end":"10:52","startHours":9.868674329833258,"endHours":10.868674329833258,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:52","end":"11:52","startHours":10.868674329833258,"endHours":11.868674329833258,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:52","end":"12:52","startHours":11.868674329833258,"endHours":12.868674329833258,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:52","end":"13:52","startHours":12.868674329833258,"endHours":13.868674329833258,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:52","end":"14:52","startHours":13.868674329833258,"endHours":14.868674329833258,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:52","end":"15:52","startHours":14.868674329833258,"endHours":15.868674329833258,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:52","end":"16:52","startHours":15.868674329833258,"endHours":16.868674329833258,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:52","end":"17:52","startHours":16.868674329833258,"endHours":17.868674329833258,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:52","end":"18:52","startHours":17.868674329833258,"endHours":18.868674329833258,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:52","end":"19:52","startHours":18.868674329833258,"endHours":19.868674329833258,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:52","end":"20:52","startHours":19.868674329833258,"endHours":20.868674329833258,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:52","end":"21:52","startHours":20.868674329833258,"endHours":21.868674329833258,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:52","end":"22:52","startHours":21.868674329833258,"endHours":22.868674329833258,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:52","end":"23:52","startHours":22.868674329833258,"endHours":23.868674329833258,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:52","end":"00:52","startHours":23.868674329833258,"endHours":24.868674329833258,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:52","end":"01:52","startHours":24.868674329833258,"endHours":25.868674329833258,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:52","end":"02:52","startHours":25.868674329833258,"endHours":26.868674329833258,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:52","end":"03:52","startHours":26.868674329833258,"endHours":27.868674329833258,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:52","end":"04:52","startHours":27.868674329833258,"endHours":28.868674329833258,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:52","end":"05:52","startHours":28.868674329833258,"endHours":29.868674329833258,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"East","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.423722398344479,"eotMinutes":-3.0500109105302213,"ayanamsa":24.5603}},"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","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Śukla Tṛtīyā · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[],"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":"vrindavan"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 20, 2050 CE · Vṛndāvana · Vidhyamitra","description":"August 20, 2050 CE for Vṛndāvana: Śukla Tṛtīyā, sūryodaya 05:52, sūryāsta 18:53.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2050-08-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2050-08-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2050-08-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2050-08-20","x-default":"https://vidhyamitra.com/city/vrindavan/2050-08-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T21:21:08.318Z","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":"2026-06-01T21:21:08.318Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T21:21:08.318Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}