{"id":"vidhyamitra:city-day:vrindavan:2050-08-22:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2050-08-22","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-08-22","date_display":"August 22, 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":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470040.770833,"kali_year":5152,"ahargana":1881575.2708,"sun":{"sidereal_longitude":123.8526,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":177.4137,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":53.5611,"elapsed_within_tithi_degrees":5.5611},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":177.4137,"elapsed_within_degrees":4.0803},"yoga":{"number":23,"name":"Śubha","sum_longitude":301.2663},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":22,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470040.770833,"ahargana":1881575.2708,"kali_year":5152,"ayanamsa_lahiri":24.5604,"grahas":{"sun":{"sidereal_longitude":124.61913600000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":174.26303600000006,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false,"latitude":-2.0883},"mars":{"sidereal_longitude":294.40513599999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":true},"mercury":{"sidereal_longitude":129.66943600000002,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":113.25113599999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":168.84533599999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":278.56603599999994,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":205.0874,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":25.0874,"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":22,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470040.770833,"kali_year":5152,"ahargana":1881575.2708,"sun":{"sidereal_longitude":123.8526,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":177.4137,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":5,"name":"Pañcamī","paksha":"Śukla","full_name":"Śukla Pañcamī","elongation_degrees":53.5611,"elapsed_within_tithi_degrees":5.5611},"nakshatra":{"number":14,"name":"Citrā","pada":2,"moon_longitude":177.4137,"elapsed_within_degrees":4.0803},"yoga":{"number":23,"name":"Śubha","sum_longitude":301.2663},"karana":{"half_tithi_index":8,"name":"Bava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.088,"elongation":53.561},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.088,"opposition_distance":126.439}},"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":"05:53","sunsetLocal":"18:51","solarNoonLocal":"12:22","dayLengthHours":12.960554004905362,"dayLengthDisplay":"12 Hours 57 Mins 38 Secs","nightLengthDisplay":"11 Hours 02 Mins 22 Secs","moonriseLocal":"09:53","moonsetLocal":"21:28","rahuKala":{"name":"Rāhu Kāla","start":"07:30","end":"09:07","startHours":7.504794519224628,"endHours":9.124863769837798,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:45","end":"12:22","startHours":10.744933020450969,"endHours":12.365002271064139,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:59","end":"15:36","startHours":13.985071521677309,"endHours":15.60514077229048,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:55","end":"09:20","startHours":8.908854536422709,"endHours":9.340873003252888,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:25","end":"06:46","startHours":6.424748352149181,"endHours":6.770363125613324,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:56","end":"12:48","startHours":11.93298380423396,"endHours":12.797020737894318,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:09","end":"05:01","startHours":4.156651401290743,"endHours":5.0206883349511005,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:48","end":"05:53","startHours":4.804679101536012,"endHours":5.884725268611458,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:32","end":"15:23","startHours":14.525094605215031,"endHours":15.389131538875388,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:39","end":"19:03","startHours":18.64527927351682,"endHours":19.04527927351682,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:51","end":"19:23","startHours":18.84527927351682,"endHours":19.38530235705454,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:36","end":"20:21","startHours":18.59527927351682,"endHours":20.34527927351682,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:56","end":"00:48","startHours":23.93298380423396,"endHours":24.797020737894318,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:53","end":"07:30","startHours":5.884725268611458,"endHours":7.504794519224628,"quality":"auspicious"},{"name":"Kāla","start":"07:30","end":"09:07","startHours":7.504794519224628,"endHours":9.124863769837798,"quality":"inauspicious"},{"name":"Śubha","start":"09:07","end":"10:45","startHours":9.124863769837798,"endHours":10.744933020450969,"quality":"auspicious"},{"name":"Roga","start":"10:45","end":"12:22","startHours":10.744933020450969,"endHours":12.365002271064139,"quality":"inauspicious"},{"name":"Udveg","start":"12:22","end":"13:59","startHours":12.365002271064139,"endHours":13.985071521677309,"quality":"inauspicious"},{"name":"Chala","start":"13:59","end":"15:36","startHours":13.985071521677309,"endHours":15.60514077229048,"quality":"neutral"},{"name":"Labha","start":"15:36","end":"17:14","startHours":15.60514077229048,"endHours":17.22521002290365,"quality":"auspicious"},{"name":"Amṛta","start":"17:14","end":"18:51","startHours":17.22521002290365,"endHours":18.84527927351682,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:51","end":"20:14","startHours":18.84527927351682,"endHours":20.22521002290365,"quality":"neutral"},{"name":"Labha","start":"20:14","end":"21:36","startHours":20.22521002290365,"endHours":21.60514077229048,"quality":"auspicious"},{"name":"Amṛta","start":"21:36","end":"22:59","startHours":21.60514077229048,"endHours":22.98507152167731,"quality":"auspicious"},{"name":"Kāla","start":"22:59","end":"00:22","startHours":22.98507152167731,"endHours":24.36500227106414,"quality":"inauspicious"},{"name":"Śubha","start":"00:22","end":"01:45","startHours":24.36500227106414,"endHours":25.74493302045097,"quality":"auspicious"},{"name":"Roga","start":"01:45","end":"03:07","startHours":25.74493302045097,"endHours":27.1248637698378,"quality":"inauspicious"},{"name":"Udveg","start":"03:07","end":"04:30","startHours":27.1248637698378,"endHours":28.504794519224628,"quality":"inauspicious"},{"name":"Chala","start":"04:30","end":"05:53","startHours":28.504794519224628,"endHours":29.884725268611458,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:53","end":"06:53","startHours":5.884725268611458,"endHours":6.884725268611458,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:53","end":"07:53","startHours":6.884725268611458,"endHours":7.884725268611458,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:53","end":"08:53","startHours":7.884725268611458,"endHours":8.884725268611458,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:53","end":"09:53","startHours":8.884725268611458,"endHours":9.884725268611458,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:53","end":"10:53","startHours":9.884725268611458,"endHours":10.884725268611458,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:53","end":"11:53","startHours":10.884725268611458,"endHours":11.884725268611458,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:53","end":"12:53","startHours":11.884725268611458,"endHours":12.884725268611458,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:53","end":"13:53","startHours":12.884725268611458,"endHours":13.884725268611458,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:53","end":"14:53","startHours":13.884725268611458,"endHours":14.884725268611458,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:53","end":"15:53","startHours":14.884725268611458,"endHours":15.884725268611458,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:53","end":"16:53","startHours":15.884725268611458,"endHours":16.884725268611458,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:53","end":"17:53","startHours":16.884725268611458,"endHours":17.884725268611458,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:53","end":"18:53","startHours":17.884725268611458,"endHours":18.884725268611458,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:53","end":"19:53","startHours":18.884725268611458,"endHours":19.884725268611458,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:53","end":"20:53","startHours":19.884725268611458,"endHours":20.884725268611458,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:53","end":"21:53","startHours":20.884725268611458,"endHours":21.884725268611458,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:53","end":"22:53","startHours":21.884725268611458,"endHours":22.884725268611458,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:53","end":"23:53","startHours":22.884725268611458,"endHours":23.884725268611458,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:53","end":"00:53","startHours":23.884725268611458,"endHours":24.884725268611458,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:53","end":"01:53","startHours":24.884725268611458,"endHours":25.884725268611458,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:53","end":"02:53","startHours":25.884725268611458,"endHours":26.884725268611458,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:53","end":"03:53","startHours":26.884725268611458,"endHours":27.884725268611458,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:53","end":"04:53","startHours":27.884725268611458,"endHours":28.884725268611458,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:53","end":"05:53","startHours":28.884725268611458,"endHours":29.884725268611458,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"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":"North-East","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":11.75797813605303,"eotMinutes":-2.537336263848294,"ayanamsa":24.5604}},"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 Pañcamī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 22, 2050 CE · Vṛndāvana · Vidhyamitra","description":"August 22, 2050 CE for Vṛndāvana: Śukla Pañcamī, sūryodaya 05:53, sūryāsta 18:51.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2050-08-22","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2050-08-22","sa":"https://sa.vidhyamitra.com/city/vrindavan/2050-08-22","hi":"https://hi.vidhyamitra.com/city/vrindavan/2050-08-22","x-default":"https://vidhyamitra.com/city/vrindavan/2050-08-22"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T01:14:54.234Z","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":"2026-06-01T01:14:54.234Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T01:14:54.234Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}